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'To Live Your Best Life, Do Mathematics' (quantamagazine.org)

Excerpts from an article on Quanta Magazine, rearranged for clarity and space: Math conferences don't usually feature standing ovations, but Francis Su received one last month in Atlanta. In his talk he framed mathematics as a pursuit uniquely suited to the achievement of human flourishing, a concept the ancient Greeks called eudaimonia, or a life composed of all the highest goods. Su talked of five basic human desires that are met through the pursuit of mathematics: play, beauty, truth, justice and love. Su opened his talk with the story of Christopher, an inmate serving a long sentence for armed robbery who had begun to teach himself math from textbooks he had ordered. After seven years in prison, during which he studied algebra, trigonometry, geometry and calculus, he wrote to Su asking for advice on how to continue his work. After Su told this story, he asked the packed ballroom at the Marriott Marquis, his voice breaking: "When you think of who does mathematics, do you think of Christopher?" If mathematics is a medium for human flourishing, it stands to reason that everyone should have a chance to participate in it. But in his talk Su identified what he views as structural barriers in the mathematical community that dictate who gets the opportunity to succeed in the field -- from the requirements attached to graduate school admissions to implicit assumptions about who looks the part of a budding mathematician. When Su finished his talk, the audience rose to its feet and applauded, and many of his fellow mathematicians came up to him afterward to say he had made them cry. [...] Mathematics builds skills that allow people to do things they might otherwise not have been able to do or experience. If I learn mathematics and I become a better thinker, I develop perseverance, because I know what it's like to wrestle with a hard problem, and I develop hopefulness that I will actually solve these problems. And some people experience a kind of transcendent wonder that they're seeing something true about the universe. That's a source of joy and flourishing.

229 comments

  1. They call me Mister by Anonymous Coward · · Score: 0

    Georgy Porgy!

  2. LOL! NERD! by Anonymous Coward · · Score: 0

    Seriously. This sounds like a sad sad man.

    1. Re:LOL! NERD! by Anonymous Coward · · Score: 0

      Seriously. This sounds like a sad sad man.

      Said by the sad man who doesn't get it. Among the greatest things of mathematics is that it transcends us while being accessible to anyone who really tries. The sad thing is for one to dismiss the whole thing because it looks like too much work.

    2. Re:LOL! NERD! by Wycliffe · · Score: 1

      Seriously. This sounds like a sad sad man.

      Actually, it sounds like a very happy man. The thing that is missing though is that he doesn't seem to realize that just because something makes him happy it doesn't mean that it will make everyone else happy. Everyone is wired a little different. I'm pretty good at math but I find it boring. I enjoy programming which is similar but for whatever reason I find it a lot more interesting and can get lost for hours in a tedious problem that would drive other people crazy. I have a good friend who can't stand to be at a desk job. He *loves* pouring concrete which is about the worst job I can think of but after 4 years at a desk job (as a co-owner of the company no less), he quit and went back to pouring concrete because that is what he enjoys.

    3. Re:LOL! NERD! by ShanghaiBill · · Score: 5, Insightful

      I'm pretty good at math but I find it boring. I enjoy programming which is similar but for whatever reason I find it a lot more interesting

      Me too. I think the big difference is the lack of feedback in math. If I work for hours or days to construct a proof, I don't really know if it is valid or not, and maybe it was all a waste of time because I made an error in the first few steps. With programming, I can test incrementally, fix errors as I go, and I can see the end result is valid because the program works. The feeling of accomplishment is much better.

      Also, programming pays better.

    4. Re:LOL! NERD! by Anonymous Coward · · Score: 0

      Also, programming pays better.

      Programming does not pay. You can spend your lifetime programming open source software and get paid absolutely nothing at all for your efforts. Or. You can exploit the free work of countless contributors to open source software and build a social media marketing empire worth billions. The programming is not the part that pays. As usual you are conflating the social media industry with the tech industry. Which is so very trendy to do when there are computers involved.

    5. Re: LOL! NERD! by Anonymous Coward · · Score: 0

      I know a guy who really only likes watching TV, that's all that makes him happy. That and hamburgers. I at least balance my burgers with a few beers.

    6. Re:LOL! NERD! by ortholattice · · Score: 1

      Me too. I think the big difference is the lack of feedback in math. If I work for hours or days to construct a proof, I don't really know if it is valid or not, and maybe it was all a waste of time because I made an error in the first few steps. With programming, I can test incrementally, fix errors as I go, and I can see the end result is valid because the program works. The feeling of accomplishment is much better.

      If you use automated proof verifiers, like HOL, Metamath, Mizar, etc., the experience is the exact opposite from what you suggest. When a proof is automatically verified, you KNOW the math is 100% correct, even if you spent days working out the proof. That provides a tremendous sense of accomplishment. When writing a computer program of any complexity, while it can be satisfying to see it run, you will never know (barring formal verification) that there aren't still hidden bugs not yet uncovered.

  3. Mathematicians don't let mathematicians do drugs by xxxJonBoyxxx · · Score: 3, Funny

    >> some people experience a kind of transcendent wonder that they're seeing something true about the universe

    Those would be the ones that took an illegal substance before solving for x.

  4. Transcript and Audio Recording by Anonymous Coward · · Score: 5, Informative
    1. Re:Transcript and Audio Recording by Anonymous Coward · · Score: 0

      The transcript is hard to get through as it reads like a sappy TED talk. Anecdotes and bromides under headings such as 'truth' and 'justice' (though for some reason he leaves out the American Way!). One anecdote has a long term inmate learning math for the joy of it and another is about a promising female grad student who drops out because a TA suddenly became a harsh grader when he found out her gender. So what's the fucking point, the inmate flies in to save the day?

  5. Atl-math by Camel+Pilot · · Score: 0

    Even better with atl-math you can make up you own truths... it makes doing proofs a lot easier.

    1. Re:Atl-math by Anonymous Coward · · Score: 0

      Alt-spelling?

    2. Re:Atl-math by Anonymous Coward · · Score: 0

      For all P and for all Q: (P & -P) --> Q, is a long known, and well known, mathematical truth.

    3. Re:Atl-math by serviscope_minor · · Score: 4, Interesting

      Even better with atl-math you can make up you own truths...

      What you've just described is not alt-maths, it is in fact actual regular maths.

      For example, you can make up your own truth about how 1+1 isn't really 2 and you wind up with Galois theory and finite fields. Or invent something impossible like x*x=-1 and you end up with complex numbers.

      Or you can invent absurd things like "infinity" and so find that 1-2+3-4+5-... to infinity ends up rather oddly as 0.25 (don't even look at 1+2+3+4+...).

      Mathematics is in fact all about making up the rules and seeing where they lead. There are basically 3 outcomes:

      1. trivial (and therefore not interesting).
      2. inconsistent (and therefore not interesting).
      3. interesting.

      --
      SJW n. One who posts facts.
    4. Re:Atl-math by Anonymous Coward · · Score: 0

      Trump says Atl-spelling is correct!

    5. Re:Atl-math by Anonymous Coward · · Score: 0

      Nature is inconsistent, thus math can not model nature well. The triple point of water is an example: math can't create an equation of state for water, because water is inconsistent and math harps on consistency. Math cannot deal with "This statement is a lie" except by banning it. Natural language is a much better model of reality than math. Natural language allows inconsistency and inconsistency is all around in nature.

    6. Re: Atl-math by hackwrench · · Score: 1

      Inconsistent need not be uninteresting. Many things that at first glance are inconsistent need a minor change to behave consistently. sqrt -1 was inconsistent until a new perspective was imposed that made a newly consistent system.

    7. Re: Atl-math by serviscope_minor · · Score: 1

      Inconsistent need not be uninteresting. Many things that at first glance are inconsistent need a minor change to behave consistently. sqrt -1 was inconsistent until a new perspective was imposed that made a newly consistent system.

      I don't think sqrt -1 was inconsistent. Inconsistent is where you can for example prove both a and not a from the same axioms.

      --
      SJW n. One who posts facts.
    8. Re:Atl-math by Anonymous Coward · · Score: 0

      There was a cool claim made in my logic courses:

      1. A logic is consistent if it can only prove things that are true.
      2. A logic is complete if all things that are true can be proven.
      3. No logic can be both consistent and complete.

      I think it's neat that consistent logics like math have blind spots of truth that they can't reach.

    9. Re:Atl-math by Anonymous Coward · · Score: 0

      No

    10. Re:Atl-math by Anonymous Coward · · Score: 0

      Thank you Gödel

    11. Re: Atl-math by hackwrench · · Score: 1

      And the difference being?

    12. Re: Atl-math by serviscope_minor · · Score: 1

      And the difference being?

      er huh? The difference being that they're different?

      If you limit yourself to the reals, how can you prove some proposition P and also prove not P?

      --
      SJW n. One who posts facts.
    13. Re:Atl-math by Camel+Pilot · · Score: 1

      Thanks... you know I felt a bit guilty about posting such a trollish comment but now reading your interesting post made it worth.

    14. Re:Atl-math by Anonymous Coward · · Score: 0
    15. Re:Atl-math by dcollins · · Score: 1

      The flexibility allows you to store more energy and launch the weapon faster.

      https://www.youtube.com/watch?v=BkK2vEZ5bTk

      --
      We know where leadership by an anti-intellectual "strongman" who scapegoats minorities and likes boisterous rallies goes
    16. Re:Atl-math by tdillo · · Score: 2

      <-- kr5ddit.com

      Linked site collects user data and is suspected to harbor malware.
      Often causes shark attacks.
      Site owner is vindictive and abusive.
      Site prone to fail when accessed by more than five users simultaneously.
      Approach with Caution

    17. Re:Atl-math by Anonymous Coward · · Score: 0

      Natural language is a much better model of reality than math.

      You can't construct skyscrapers using only natural language during planning. Your building will fall down before you ever finish it.
      Same goes for things like, say, building stable nuclear power plants.

      Math has a practical value that natural language does not. Humanity remained trapped in stone age tech for millennia, despite having deep and complex natural languages, but (notably) having very rudimentary mathematics.

      Natural language may be a necessary condition of advanced civilization, but it is not sufficient.

      Math is the better language, depending on what aspect of reality you are modeling, and what you are trying to do with that model. And this would have been obvious to you if you had given it a modicum of actual thought.

    18. Re:Atl-math by Oligonicella · · Score: 1

      Natural language is a much better model of reality than math.

      Unless you want to know what your actual acreage is.

    19. Re:Atl-math by Actually,+I+do+RTFA · · Score: 1

      Or you can invent absurd things like "infinity" and so find that 1-2+3-4+5-... to infinity ends up rather oddly as 0.25

      That's... not true. Like at all. You can group the terms and then argue it comes out to negative infinity. Or positive infinity. But I don't see any way to make it come out to 0.25.

      --
      Your ad here. Ask me how!
    20. Re:Atl-math by mcswell · · Score: 1

      As a linguist, I guess I have to agree with you about skyscrapers. (There's a story about a certain skyscraper and some languages...) And you're right in lots of what you say. But I guess there are other things you can't describe with math, but you can with language. The beauty of a sunset, the uglyness of a burned out car; love, hate; joy, sorrow. We would not be human if we had math but no language.

      Math is not the better language, nor is language the better math. I'd say they were orthogonal, but that's not quite true either. But they certainly serve different purposes in different ways.

    21. Re:Atl-math by Anonymous Coward · · Score: 0

      RE:

      1. trivial (and therefore not interesting).

      2. inconsistent (and therefore not interesting).

      3. interesting.

      Jonathan Coulton + Mandelbrot Set HD

      https://www.youtube.com/watch?v=ZDU40eUcTj0

    22. Re:Atl-math by Coryoth · · Score: 1

      Just for reference the important caveat is no logic that can encode basic Peano arithmetic can be consistent and complete. There are plenty of axiomatic systems that are complete and consistent, even complicated mathematical ones (the first order theory of complete ordered fields, a.k.a. the real numbers is complete and consistent). Also a stronger logic can prove the consistency of a subset contained within it. Thus the first order theory of Peano arithmetic can be proved to be consistent via second order logic. Finally you may also want to look up Tarski's indefinitability of truth -- a theorem which gives the results you have here as a corollary, but is simpler: in sufficiently power logical systems you can't even define a truth predicate.

    23. Re:Atl-math by Anonymous Coward · · Score: 0

      Only because you got into a hissy fit after you ran out of Kr5ddits to mod posts (The are limited, can only mod as many Kr5ddits your account has) and didn't understand why.

      You are welcome to return and have people mod up your comments so you can have positive Kr5ddits again. You also forgot to mention you contributed the images and some of the ideas for that site.

    24. Re:Atl-math by Anonymous Coward · · Score: 0

      With zee atl-math you can make zee ultimate atl-weapon!

      https://en.wikipedia.org/wiki/Spear-thrower

  6. Re: To reduce STEM wages by TWX · · Score: 3, Insightful

    Good thing for most of us in fields that are lumped into that acronym, the difficulty of the work generally selects for who ends up in those careers. Maybe if we encourage more people to stand and deliver then we simply won't need to import talent and we could legitimately scale back totals on H1B quotas citing graduation rates and test scores as why we don't need ao many foreign skilled workers.

    --
    Do not look into laser with remaining eye.
  7. Re:Mathematicians don't let mathematicians do drug by serviscope_minor · · Score: 2

    Those would be the ones that took an illegal substance before solving for x.

    Not all, but Erdos I think definitely fell into that category.

    --
    SJW n. One who posts facts.
  8. I've been playing with pivot tables in Excel by Anonymous Coward · · Score: 0

    all morning and boy do I feel fulfilled because of all the math I've done.... Such wonderful fulfillment....

    (Sarcasm)

    1. Re:I've been playing with pivot tables in Excel by Anonymous Coward · · Score: 0

      "It's not the size of the tool, it's what you do with it, the motion in the ocean!"

      You're just not using Excel the right way, because you can do numerical DE with macros, and even solve dynamic equilibriums with a slider.

    2. Re:I've been playing with pivot tables in Excel by gtall · · Score: 1

      Arithmetic is less than .01% of math.

    3. Re:I've been playing with pivot tables in Excel by Anonymous Coward · · Score: 0

      And yet, starting with simple arithmetic, one can generate so much of mathematics.

    4. Re:I've been playing with pivot tables in Excel by Anonymous Coward · · Score: 0

      But still can't get the damn thing to stop auto-incrementing things and casting various fields to dates and other inconvenient datatypes.

  9. Re:Mathematicians don't let mathematicians do drug by Anonymous Coward · · Score: 0

    Though I appreciate that burn, I doubt JonBoy is even sophisticated enough to get it. Also, he isn't really worth a response for such an ignorant and asinine comment.

  10. The Romans didn't do mathematics by iMadeGhostzilla · · Score: 4, Interesting

    ... since they didn't have the numbers for it. Still their aqueducts lasted centuries and millennia. Nassim Taleb says a side effects mathematics is to optimize and cut corners, making things fragile. He also quoted a science historian that before the 13th century no more than five persons in Europe knew how to perform a division. But their architects made all those cathedrals that are more or less still standing. (They apparently didn't know geometry either: a triangle was visualized as the head of a horse.)

    Not saying don't use mathematics, that would be insane, just listing counterexamples to the claim that life is best lived with mathematics. Any boxing in becomes counterproductive at some level.

    1. Re:The Romans didn't do mathematics by Anonymous Coward · · Score: 1, Insightful

      You're a moron if you think that the engineers and architects who designed those things didn't know advanced mathematics (geometry and algebra of that time).

    2. Re:The Romans didn't do mathematics by BarbaraHudson · · Score: 1

      ... since they didn't have the numbers for it. Still their aqueducts lasted centuries and millennia. Nassim Taleb says a side effects mathematics is to optimize and cut corners, making things fragile. He also quoted a science historian that before the 13th century no more than five persons in Europe knew how to perform a division. But their architects made all those cathedrals that are more or less still standing.

      In other words, the available evidence seems to indicate he's full of shit. Same as the convict probably didn't get much "love" while in jail thanks to math.

      --
      "Transparent" is a shit show that trades on every stereotype going. A man in drag is NOT a transsexual.
    3. Re:The Romans didn't do mathematics by Anonymous Coward · · Score: 1

      Assuming what your hearsay suggests is true - and it most certainly isn't - those "no more than five persons" were probably living a better life than the average European.

    4. Re:The Romans didn't do mathematics by jfdavis668 · · Score: 4, Informative

      The Romans learned advanced mathematics from the Greeks, who had already proven that the square root of 2 was irrational. I think they had plenty of math to build an arch.

    5. Re:The Romans didn't do mathematics by Anonymous Coward · · Score: 0

      Assuming what your hearsay suggests is true - and it most certainly isn't - those "no more than five persons" were probably living a better life than the average European.

      Chalk it up to a mathematician to posit a claim as false but still manage to derive an outcome dependent on the false claim being true that is solely flattering to mathematicians.

    6. Re:The Romans didn't do mathematics by Anonymous Coward · · Score: 1

      Yes the math was available. However, mathematics beyond counting was thought of as a plaything of philosophers and ignored (or treated as a religion with no practical value like pythagoreanism). The pattern repeats later in history with science being ignored for scholasticism and today with rationalism being ignored for the exclusive domain of practical empiricism.

    7. Re:The Romans didn't do mathematics by epine · · Score: 1

      He also quoted a science historian that before the 13th century no more than five persons in Europe knew how to perform a division.

      Screw Taleb.

      Taleb has an all-world point to make, and yet somehow he manages to advance his thesis on an all-world edifice of rhetorical corner-cutting. It's almost as if he feels the need to degrade his argument to prove that even broken argumentation strategies can be robust, if advocated by a person uniquely possessed of this particular ray of enlightenment (only).

      On the matter of division, every rustler, cut throat, murderers, bounty hunter, desperado, mug, pug, thug, nitwit, halfwit, dimwit, viper, sniper, con man, Indian agent, Mexican bandit, mugger, buggerer, bushwhacker, hornswoggler, horse thief, bull dyke, train robber, bank robber, ass-kicker, shit-kicker and Methodist in the pan-Arabian, pan-Persian, and pan-Byzantium raisin trade could perform a "goes into" from a hundred paces at the drop of a pin.

      Next up, someone is going to argue that similar triangles don't encode ratio, and that ratio doesn't encode division.

      Here's my version of Taleb's thesis, minus his bogus argumentation:

      With sufficient flesh-paring abstraction, all equations are cannibalistic.

      Expressed another way, purity looks great on paper, but it's risky to paint the eye of the dragon in real life.

      Is the underlying problem here too much attention to detail, or too little?

      Hard to say.

    8. Re:The Romans didn't do mathematics by Gilgaron · · Score: 1

      As a person interested in historical woodworking, I can say that you can do lots of division and geometry without using numbers. It is actually a bit easier not to use numbers, since you add some imprecision doing measuring versus doing ratios and divisions of the parts.

    9. Re:The Romans didn't do mathematics by Anonymous Coward · · Score: 0

      They didn't have zero. The first zero appears in a Jain text. Then the Arabs got it through trading with the Indians and brought zero to the west, finally.

    10. Re:The Romans didn't do mathematics by Anonymous Coward · · Score: 0

      But if they had *really* known mathematics, they would have built parabolic arches -- much stronger than those silly semicircle-on-a-rectangle models they actually built, which required all kinds of extra reinforcement.

    11. Re:The Romans didn't do mathematics by hackertourist · · Score: 1

      all those cathedrals that are more or less still standing

      That's survivor bias. We don't see all those structures that collapsed because they weren't strong enough.

      a side effects mathematics is to optimize and cut corners, making things fragile

      And the side effects of not using math are:
      a. the occasional disaster,
      b. huge time and money sinks because structures were massively overbuilt. Those medieval cathedrals took a hundred years to build, during which they soaked up all disposable income of a province. An optimized cathedral would have left time and money to do other things.

    12. Re:The Romans didn't do mathematics by AthanasiusKircher · · Score: 1

      I think they had plenty of math to build an arch.

      It doesn't take math to build an arch. It doesn't take math to build a cathedral. What it initially takes for a civilization is some trial and error, and then often a sort of procedure is created. Yes, math can help and new architectural procedures did follow during the Renaissance along with more sophisticated mathematical analysis. But a lot of those problems can be overcome with the well-learned mechanical procedure after trial and error coupled with some factor of "overengineering" to prevent collapse, etc.

      The Romans were very good at standardization. Read about who a legion would make camp at night if you haven't, and you'll realize how motivated they were to set up systems that were very efficient after centuries of experience.

      Same thing with building arches and buildings, etc. Math is great if you want to make those structures more efficient or do something that doesn't seem "reasonable" with your building materials (but may be possible if you know stuff about engineering and the accompanying math of materials). But the Romans did a lot of amazing stuff with rather simple procedures. For example, if I recall correctly, in the Pantheon, they created this dome which has never been surpassed in size for an unreinforced concrete dome -- and they did it mostly through gradually changing the concrete mixture to use successively less dense (lighter) types of stone. Meanwhile, the thickness of the dome also decreases, and they left an "oculus" (hole) in the center which had the benefit of lightening the weight of the dome further in its most fragile part.

      These sorts of procedures can be seen in other Roman architecture too, from centuries of trial and error in making better concrete and building larger structures -- they just happen to be combined in unique way here. Although the Pantheon is one of the greatest Roman architectural achievements, I sincerely doubt much advanced math was used in its construction... just patterns and procedures based off of long experience.

      (None of this is to disparage the value of math. But if you study history, you realize how many people find solutions to complex problems without the abstraction of math. The solutions often aren't efficient and they are sometimes erroneous, but for a practical approximation, they were important for a lot of historical advances.)

    13. Re:The Romans didn't do mathematics by Oligonicella · · Score: 1

      Um, no. You are highly misinformed.

    14. Re:The Romans didn't do mathematics by Oligonicella · · Score: 1

      No, wrong.

    15. Re:The Romans didn't do mathematics by jfdavis668 · · Score: 1

      You don't need zero to prove the square root of 2 is irrational. You only need to prove that it is not equal to a fraction, i.e. an integer divided by another integer. All they needed were positive integers.

    16. Re:The Romans didn't do mathematics by hey! · · Score: 1

      (1) Of course they had numbers. They just had notation system that made arithmetic hard.

      (2) Math isn't limited to arithmetic.

      (3) Limitations in one area drive innovations in another. If John Napier had a four function calculator he probably wouldn't have invented the logarithm.

      --
      Post may contain irony: discontinue use if experiencing mood swings, nausea or elevated blood pressure.
    17. Re: The Romans didn't do mathematics by Anonymous Coward · · Score: 0

      Lirc, most of those guys that didn't use mathematics used.... Physics.

    18. Re:The Romans didn't do mathematics by Lost+Race · · Score: 1

      to posit a claim as false but still manage to derive an outcome dependent on the false claim being true

      They even have a name for that.

  11. Re:Mathematicians don't let mathematicians do drug by Anonymous Coward · · Score: 1, Insightful

    Those would be the ones that took an illegal substance before solving for x.

    Not all, but Erdos I think definitely fell into that category.

    Probably not. Were amphetamines illegal then? For most of human history, the War on Drugs would have been an absurd concept (because it is an absurd concept). We have to make sure that genius mathematicians don't take all the amphetamines. Otherwise what will we pump our elementary school children full of!?

  12. Do you just need the right teacher? by ErichTheRed · · Score: 5, Interesting

    I think one of the problems with mathematics is that it's pretty hard to get the average person to see it as anything other than a tool. Maybe that's how it's taught, but how do you get average students interested in math the same way mathematicians are? Where is the hook in people's minds that turns them on to it as something other than a bunch of formulas and operations? I know it's a cop-out to say I suck at math, but I really do feel I'm mathematically challenged. I wonder if it was just because I didn't get some magic spark early on. I remember all of my elementary and high school math being a long slog of memorization with very little understanding. I was never very good at it and just learned enough to handle the exams. Like every high school student, I still remember to this day that x = -b +/- (sqrt(b^2 - 4ac)/2a) but I have no idea why that is or what it's good for other than getting the answers to a quadratic equation. I think my lack of math background kept me out of civil or chemical engineering, despite a huge interest in both.

    One reason why I think proper teaching may play a role is because I had a similar experience studying chemistry in college. I had a very good introductory chemistry teacher and something just clicked. Almost everyone saw it as a bunch of nonsense formulas and equations for various phenomena that had to be memorized for the exams and forgotten, but somehow I got a little more out of it and it was interesting enough that I got a degree in it. Good thing too -- by the second year of engineering school I knew I wasn't going to be able to keep up with my poor math background and didn't want to end up a generic business major!

    1. Re:Do you just need the right teacher? by Anonymous Coward · · Score: 0

      I think it is beneficial to think of math as a tool. Seeing *real use* of math I think would enhance the importance of it in people's minds. I think the biggest problem with teaching math today is the lack of context and explaining WHY we are learning math and what it is good for. I mean real-real examples. Not a bunch of word problems that no one cares about like a train leaves a station at ... blah blah. I mean - lets try to crash two train on intersecting tracks - first try. Lets divide the cost of a cake among students and each student has to actually pay up. Without concrete examples kids just think of it as abstract manipulations of numbers to get good grades. Even "concrete" word problems are lacking because the kid may not think of the problem as "real". In other words they might think the train problem was invented to be a math problem not to solve something real.

      The mathematician takes it to the next step - trying to create the new math that helps others solve problems. But first you have to understand that math actually can help solve real problems.

    2. Re: Do you just need the right teacher? by hackwrench · · Score: 1

      They give equations that leave the really interesting bits out. y=mx+b is substantially less interesting and meaningful than y=(x1-x2)/(y1-y2)x+yintercept for a line with the points (x1, y1), (x2, y2), but they feed you the former rather than the latter.

    3. Re:Do you just need the right teacher? by Hognoxious · · Score: 1

      I think one of the problems with mathematics is that it's pretty hard to get the average person to see it as anything other than a tool.

      I always enjoyed it, but somewhere around 15 or 16 I started seeing it as a handmaiden to physics rather than a subject in its own right.

      Oddly, I wasn't aware of that at the time or I might have got a better grade in it.

      --
      Confucius say, "Find worm in apple - bad. Find half a worm - worse."
    4. Re:Do you just need the right teacher? by Anonymous Coward · · Score: 0

      We would never let anyone get away with saying, "but I'm just bad at reading" and let their skills fail.

      Yet for some reason, we always let people get away with "I'm just bad at math."

      I think at some level, this is down to cultural values, but it's shocking (to me) that this is allowed at all.

    5. Re:Do you just need the right teacher? by Anonymous Coward · · Score: 0

      I think the real problem with teaching math as being important is that math really isn't important for most people. I am in infosec and networking. In school they insisted I needed a really strong understanding of advanced mathematics. In actual practice I use logic constantly, but rarely math. Years can go by without needing to even do algebra. Stats is important, but the datasets so large programs take care of the work. Worse, there is this disincentive to use math instead of natural-language critical logic because the business side wont listen to the former and expects the latter in an easy to digest format.

      I'd like to know more math. I'd like to find a love for it. If there are any books that are not too fluffy or jargon driven I would love to pick them up and read them. But really I don't even know if those books exist or how to find them.

    6. Re:Do you just need the right teacher? by BlackSupra · · Score: 4, Insightful

      The right teacher, someone like Richard Feynman:

      Check out his book "Surely You're Joking Mr. Feynman".

      http://www.earth.northwestern....

    7. Re:Do you just need the right teacher? by alvinrod · · Score: 1

      I think part of the problem with mathematics is that it's taught as a series of formulas that you need to remember and use. That's an idiotic way of teaching almost anything and it's no wonder that people struggle with it. You could probably have someone remember all the syntax for the English language (or a computer language for that matter) but until they've moved beyond just knowing the rules to a point where they intuitively understand why those rules exist and what those patterns (formulas) actually represent, they couldn't produce much of any actual interest like a poem.

      The same holds true for math. The formula you give is for finding the roots of a quadratic polynomial, something like looks like ax^2 + bx + c, which you've probably seen all over the place. However it's really difficult to tell just from looking at something like 4x^2 - 7x + 3 is going to cross the intercept on a graph. The formula you've listed is just another way of writing ax^2 + bx + c = 0, but we've just rearranged the pieces so that the question we're interested in answering (what values of x make the whole thing equal to 0) is easier to figure out because we can just plug int 4, -7, and 3 in order to get our answers. If you want to see the set of transformations, just search for a derivation of the quadratic formula on Google which will walk through the sequence of steps to get from one to the other.

      That's really what math is at the core. It's just saying that if we state that these properties as true, then we can use them to find other things that must also be true. Math usually isn't taught like this though, so we end up with a bunch of formulas and no real understanding of how they connect to the world. The formula itself really isn't important, it's just a shorthand notation to describe some concept that could just as easily be done using pictures or a more long-winded plain language description. But if you understand the underlying concept, you can always derive the formula. However, if no one ever bothers to explain what's going on, it's not surprising that a lot of students get frustrated with math or have no idea why a particular formulas works. I secretly suspect that a lot of math teachers don't really have much of an idea of what they're doing and are just reciting from the text book so any questions from students about why the formula has to be that way are dismissed by the instructor or not properly answered.

    8. Re:Do you just need the right teacher? by Anonymous Coward · · Score: 1

      Like every high school student, I still remember to this day that x = -b +/- (sqrt(b^2 - 4ac)/2a) but I have no idea why that is or what it's good for other than getting the answers to a quadratic equation.

      Consider the quadratic equation ax^2 + c = 0. Dividing by a and subtracting c/a yields x^2 = -c/a, or x = sqrt(-c/a) or x = -sqrt(-c/a).

      The tricky part is the bx term. So let us take a detour to the quaratic equation s = x^2 + 2rx + r^2 = (x+r)^2, with solution x = sqrt(s) -r or x = -sqrt(s) - r.

      Consider the quadratic equation ax^2 + bx + c = 0. Dividing by a and subtracting c/a yields x^2 + (b/a)x = -c/a. Now let r = b/(2a) so that 2r = b/a. Then x^2 + (b/a)x = -c/a = x^2 + 2r = -c/a. Adding r^2 gives x^2 + 2r + r^2 = r^2 - c/a, so by the previous step (with s = r^2 -c/a) the solution is x = sqrt(r^2 - c/a) -r or x = -sqrt(r^2 - c/a) -r.

      But by definition r = b/(2a), so sqrt(r^2 - c/a) -r = -b/(2a) + sqrt( (b/(2a))^2 - c/a ) = -b/(2a) + sqrt( (b^2)/(4a^2) - 4ca/(4a^2) ) = (-b + sqrt(b^2 - 4ac)) / (2a).

    9. Re:Do you just need the right teacher? by TeknoHog · · Score: 1

      IMHO, the tool approach is important but it has its issues. Promoting the tool aspect seems to attract the "engineer" types of people, while the artist/humanist types may feel left out. It's part of a larger divide among students, but the math issue isn't helping. For example, when I was at school, the usual question to a bright student was "are you a language person or a math person?" Similarly, there are these divides between artists and scientists. It's silly because, for instance, you need a lot of creativity to do science. But there's a problem when young students are exposed to these narrow stereotypes. The creative types of students tend to avoid math because of the way it's presented, and they will miss out on a lot.

      Disclaimer: I'm an algorithmic artist. While I mostly hang out with the traditional art crowd, I plan on doing things like school visits to help promote math as art/culture (I'm also a former math/science teacher). I really should elaborate more on this, but I need to spare some of the writing energy for grant applications :-j

      --
      Escher was the first MC and Giger invented the HR department.
    10. Re:Do you just need the right teacher? by dcollins · · Score: 2

      A major problem is that practically no teachers in U.S. elementary schools actually understand math (and so they teach the emergency fall-back of remember this nonsense). Education majors in the U.S. have perennially had the lowest qualifications of anyone entering college, and the highest rating for math dislike/anxiety. They're effectively self-selected for lack of mathematical understanding. I talked to a guy who used to run a middle school, and he said that he had no hope or even desire of getting math experts into the system, because they couldn't possibly be good with young kids.

      There was an excellent article by Patricia Clark Kenschaft in the Notices of AMS (2005), on how she observed this functioning at both poor and wealthy schools, and concluded that most people who got math in elementary school must have some outside/home resource to make that happen. (Link)

      --
      We know where leadership by an anti-intellectual "strongman" who scapegoats minorities and likes boisterous rallies goes
    11. Re:Do you just need the right teacher? by evendiagram · · Score: 1

      I'd highly recommend An Introduction to the History of Mathematics by Howard Eves. Understanding historical problems and trying to solve them using the tools available at the time can be extremely interesting.

      I believe the problem with finding a love for mathematics is that most lectures don't give the students a sense of wonder. In a state school math department I only had a few professors who were inspiring to students - maybe 10% of all professors I encountered. I've been told that upper tier schools are better. Students have to slog through 13-16 years of rudiments before getting to the interesting bits.

    12. Re:Do you just need the right teacher? by Anonymous Coward · · Score: 0

      The right teacher and a well written mathematics text book that does not assume the students to have the same knowledge and insights are needed. Only a lucky few ever end up with a wonderful maths teacher and reach their full potential. Maths is about finding the patterns that are compute-able and recognize such patterns in new situations. The static homogeneous systems starts with counting and arithmetic. When two or more homogeneous static systems are involved, we end up with algebra. When dynamic systems are involved , we use approximations to reduce errors and call it calculus(includes more). Now what are the formulas? The statement about the arithmetic, geometric or compute-able relationships.
      So basically we try to create a model that can be stated with the given compute-able components. Thus, for simplicity, P=S-C, it says that the result is the difference between S and C. A business person will say, ah, Profit=Sales-Cost; a physician will say, Oh, (Blood) Pressure= Systolic – Diastolic. So, the relationship is complemented addition of S and (-C). Anyway, with the Academy of Science, Physics etc., are there no best teachers among them who can create best text books.? Then, from the KG to college maths. will become part of every one.

    13. Re:Do you just need the right teacher? by Anonymous Coward · · Score: 0

      >I still remember to this day that x = -b +/- (sqrt(b^2 - 4ac)/2a) but I have no idea why that is or what it's good for other than getting the answers to a quadratic equation.

      First just looking at this formula you see that the solutions are somehow symmetrical, that 2a is kinda in the way and it would have been better to get rid of it (by dividing it out before solving the quadratic equation) instead of this mess. The quadratic equation actually gives a lot of insight into the nature of numbers if you do it right. Also note that c (and a, that fucker) kinda prevents you from simplifying the square root. For that reason, c is called inhomogenity and mathematicians like to study the case where c= 0, too, for better insight into what is important.

      Also, the thing under the square root can become negative and that's not a problem. Note that if that happens you can factorize the sqrt(-1) out and then you see the symmetry: In the complex plane the two solutions are reflecttions of each other on the real line. Aha!

      In this way you can find out what happens for cubic equations etc and you'd eventually notice that an equation of degree n always has n solutions. In the special case mentioned above (if the square root simplifies etc) these solutions always are verticles of a polygon with n sides in the complex plane (!!!!). Now how did the geometry get here, huh? And so you can go on and you find that 1 complex number is the same as 2 real coordinates in a cartesian coordinate system and a lot of theorems about numbers really are equivalent theorems about geometry. Oops? How did that happen?!

      But I know what you mean and I've hated formulaic teaching for as long as I remember. Thank god they don't do that way in college in the math faculty.

    14. Re:Do you just need the right teacher? by gbell · · Score: 1

      Erich, the Quadratic Formula is absolutely magic. I could convince you of that magic in a way you'd never forget, if you had a few hours.
      More importantly, I'd ask you what about maths you were interested in learning - the exact opposite approach to the forced, institutionalized education that everybody but the students has been so enamored with for 100+ years.

    15. Re:Do you just need the right teacher? by gbell · · Score: 1

      I can't believe you just typed that in. Maybe I'm missing a MathML extension or something. Either way, here it is typeset, if anybody's interested.
      http://bit.ly/2lm0Da8

  13. I'm still trying to prove P=NP by jfdavis668 · · Score: 1

    It will make solving difficult computer problems much easier.

    1. Re:I'm still trying to prove P=NP by Anonymous Coward · · Score: 0

      1. Prove P=NP.
      2. Construct algorithm to factor numbers in polytime.
      3. Set up dark web site and let people bid to have numbers factored.
      4. No ???
      5. Profit! (Until the NSA kills you; better hope that dark web site holds!)

  14. Re: To reduce STEM wages by Anonymous Coward · · Score: 0

    The problem with test scores is that they don't mean shit except that you have either been an ass-kiss student who was used by a professor,
    or you wasted immense time on studying pointless details or subjects that will never be helpful in practical application to get a perfect score.
    Meanwhile there are tons of students with average or just above average scores who instead focused on learning the most relevant information with a specific focus and used the excess time to build up practical experience as interns or apprentices in field related jobs or job spaces.
    That's the distinction i am often met with between paper-pusher intellectuals, and actual capable hands.

  15. Re: To reduce STEM wages by Anonymous Coward · · Score: 0

    Except the "capable hands" aren't, and have limited application due to limited scope of knowledge, while the "intellectual paper-pusher" can serve as both direct laborer or manager in those new domains.

  16. sounds like a 3rd world plea.. by Anonymous Coward · · Score: 0

    what is the mathematics profession dying?

    1. Re:sounds like a 3rd world plea.. by Jzanu · · Score: 1

      Why is the mathematics profession dying?

      Fixed that for you. Short answer: It's not. Long answer: Purists don't like applied mathematics, but the modern world is applied not theoretical.

  17. A few thoughs on the subject ... by Anonymous Coward · · Score: 0

    ... as expressed by those more eloquent than I:

    "...truth is beauty, and beauty is truth..."
    " Mathematics is the music of Reason."
    " Sex is the mathematical urge sublimated."
    " In every mathematician, the soul of a poet."
    " eppur si mouve" (in reference to the immutability of truth)

    (I may be mistaken for most of these, esp. the latin, feel free to add your own)

  18. Re: To reduce STEM wages by Anonymous Coward · · Score: 1

    Good thing for most of us in fields that are lumped into that acronym, the difficulty of the work generally selects for who ends up in those careers.

    Simply not true. Those of us who are most passionate about STEM are those who never enter the field, because careers are made by mediocre morons who manipulate their way into positions of power and close ranks to keep talented upstarts out. If we're lucky, we end up working dead-end jobs while blogging about our STEM-related hobbies. If we're unlucky, we end up committing armed robbery and studying STEM in a prison cell.

    Maybe if we encourage more people to stand and deliver

    To which meaning of "stand and deliver" are you referring here?

    "A phrase traditionally used by a highwayman commanding victims to hand over their valuables."

    That would be armed robbery, after which you could study STEM in a prison cell.

    "Stand and Deliver is a 1988 American drama film based on the true story of high school math teacher Jaime Escalante."

    That would be showmanship, with heavy subtext that if you study STEM, you will end up at a dead-end job teaching STEM in high school instead of applying anything you learned.

  19. what does a slow news day look like?? by Anonymous Coward · · Score: 0, Funny

    I mean seriously.

    1. Re:what does a slow news day look like?? by Anonymous Coward · · Score: 1

      What? This is like the best Slashdot summary I have seen in years. Congrats to the Department of the Pursuit of Happiness (No editor was credited?)

      This is very much News for Nerds, and pure mathematics is stuff that matters to the whole universe.

  20. Math by Anonymous Coward · · Score: 1, Interesting

    I have a math degree, I went into medicine. I can honestly say very very little math that I learned has been useful in any meaningful way (only really some basic stats), Analysis, partial differential equations, algebras and all that stuff while enjoyable (and incredibly work/ time intensive in undergrad) have really not improved my life in any way and really it seems like a sad waste as most of it has just faded away (although epsilon and delta will always cause a small smile in my heart) but damn you Ji and eta

    Have a great day.

    1. Re:Math by Anonymous Coward · · Score: 0

      I hope you're not a physician. If so, I hope you're never my physician.

    2. Re:Math by Anonymous Coward · · Score: 0

      Same here...and I went into engineering.

    3. Re:Math by RockGrumbler · · Score: 1

      I have a math minor and work in software. It's not particularly useful in my day to day job, but it is a useful tool when I indulge my curiosity about other things. I built a 3D game engine once, and I had a basic knowledge in vector / math. I used that to go and learn further, the base made it feasible.

    4. Re:Math by PCM2 · · Score: 1

      I was a fuck-up in high school. I took geometry three times. Later in life I picked it back up again, went through Algebra 2, trigonometry, and on to calculus, but I dropped out there because it all had become too time-consuming.

      Ironically, I've never had any cause to use anything past geometry. Turns out geometry is pretty damn useful in real life ... proportions, the Pythagorean theorem, the concept of three points determining a plane, circular geometry with pi, all very useful for designing and building real-world stuff. And understanding geometric proofs gives you a good foundation in the logical thought processes that will help you with stuff like computer programming.

      --
      Breakfast served all day!
    5. Re:Math by Anonymous Coward · · Score: 0

      I am a physician, I wonder why you say that. I dont know if I am or have been your physician. Please tell me how things like the Jordan canonical form theorem applies to medicine, or any number of the litany of proofs I was able to perform. You have some neat tricks that you will never use. Thinking in medicine goes like this
      If {a,b,c,d,...,n} then do {i, ii, iii, ...}, thats about it, it gets incredibly boring after a while.

    6. Re:Math by Anonymous Coward · · Score: 0

      I don't have a degree in maths - physics was my science major - but messing around with maths has given me a great deal of pleasure over the years and I still dabble (currently teaching myself topology just cos). I haven't applied much of what I've learnt* but the discipline and rigour it instills has been invaluable.

      *except stats, which is ironic as I absolutely hated that subject - ugly, piecemeal, unsatisfying and counter-intuitive (or at least counter my intuition). Try as I might it still just does not make sense to me.

  21. Re: To reduce STEM wages by Zephyn · · Score: 5, Insightful

    The problem with test scores is that they don't mean shit except that you have either been an ass-kiss student who was used by a professor,

    For the literature teacher who wants you to exalt their favorite author or the history/civics teacher who will give you a higher grade for parroting their political point of view, you might have a point.

    One of the better points of science and math is that it's not quite as subject to that sort of kiss-assery. When you answer "What's 2+2" with the number 4, your teacher can't dock you points because they don't like the way you wrote the 4.

  22. Ah yes, prison rape joke. Alt-P for the win. by Anonymous Coward · · Score: 0

    Ah yes, prison rape joke.

    Nice job you alt-progressive.

    1. Re:Ah yes, prison rape joke. Alt-P for the win. by ShanghaiBill · · Score: 2

      Ah yes, prison rape joke.

      Prison rape jokes are a GOOD THING. You should look at them as a sign of progress. Remember the old adage: First they ignore us, then they laugh at us, then they fight us, then we win. Jokes about prison rape mean we have moved from stage 1 (ignoring) to stage 2 (laughing). The brutality of our prison system is a horrific stain on our civilization, and the current rate of incarceration (America's rate is four times higher than either China or Russia) is appalling. Prison reform and sentencing reform are noble causes, and even the incremental progress of getting people to acknowledge the issues with humor is encouraging.

    2. Re:Ah yes, prison rape joke. Alt-P for the win. by ChrisMaple · · Score: 1

      Then who wins? The prison rapists?

      --
      Contribute to civilization: ari.aynrand.org/donate
  23. Phbbbbt. by fyngyrz · · Score: 4, Insightful

    Among the greatest things of mathematics is that it transcends us while being accessible to anyone who really tries

    That's just... bullshit.

    Is walking "accessible to anyone who really tries"? What if they have no legs?

    Lots of people simply do not have the intellectual facilities -- not training, I'm talking about capacity here -- to even begin to approach mathematics beyond various levels. Every person is a mix of capacities and limits. To claim that undertaking X is accessible to any person who "really tries" demonstrates nothing more than that the claimant has very little understanding of people in general.

    Or to look at it from the other end of the stick, you're not going to become Einstein just because you "really try."

    We're not identical cupcakes spewed out by a cupcake factory, some of us missing the icing just because we went down a different conveyor belt.

    Not yet, anyway.

    --
    I've fallen off your lawn, and I can't get up.
    1. Re:Phbbbbt. by ShanghaiBill · · Score: 3, Interesting

      Lots of people simply do not have the intellectual facilities -- not training, I'm talking about capacity here -- to even begin to approach mathematics beyond various levels.

      Every time one of my co-workers needs to calculate the volume of a shipping container, he asks me how to do it. He knows that he needs to use the length, width and height, but he can never remember whether he needs to multiply or add them together.

      The belief that, with the right training, this guy could prove the Riemann Hypothesis, is absurd.

      The New Math fiasco was driven by the belief that everyone could master abstract math, and that the ability of everyone to do so was important. They can't, and it is not.

    2. Re:Phbbbbt. by moeinvt · · Score: 4, Insightful

      Using an unqualified "anyone" is indeed too broad because the statement can be disproved by a single counterexample. How about we say that mathematics is accessible to "Anyone that has the intellectual facilities to master a spoken language" and who really tries?

      We're not identical, but we have similar mental circuitry. Understanding a language indicates a capacity for abstract thinking. When you think of times, places and events outside the scope of your immediate environment, you're exercising much of the same mental circuitry that you use when you're working on a math problem.

      "Accessible" doesn't mean that everyone is capable of being a prodigy through sheer effort, but when an English major claims a mathematical disability, it's almost certainly a software issue(probably bad early experiences) not some genetic impairment.

    3. Re:Phbbbbt. by Anonymous Coward · · Score: 0

      Every time one of my co-workers needs to calculate the volume of a shipping container, he asks me how to do it. He knows that he needs to use the length, width and height, but he can never remember whether he needs to multiply or add them together.

      Sounds like he doesn't understand what multiplication really is. Are you saying he is incapable of understanding that? Because it's just a concept, and if he's of average intelligence (or even somewhat below average) I can't believe he couldn't learn it.

    4. Re:Phbbbbt. by lgw · · Score: 3, Interesting

      When people who aren't pedantic nerds say "anyone", they mean "almost anyone" in pedantic nerdspeak.

      And almost anyone can learn math. The human brain has the ability for abstract reasoning, assuming it isn't damaged in some way. How proficient various people will be at it is a different question. Most people will never make a living at anything math-related, and that's OK. But they can still learn enough to appreciate the beauty of math.

      The barrier that defeats most people is that the early stages of learning abstract logic are intensely frustrating, and painful in a way we don't have a word for - you overload the subconscious reasoning engine, and that hurts for lack of a better word. Not normal pain, but intense discomfort even so. We suck as a society at teaching math, so we're not there to explain that it's just a barrier to push past. If you've ever seen freshman logic student break down and start crying in class, you know what I mean.

      --
      Socialism: a lie told by totalitarians and believed by fools.
    5. Re:Phbbbbt. by Anonymous Coward · · Score: 0

      Unfortunately, the socio-political situation these days is that those who can do it are encouraged to not be trusted by those that can't/won't.

      This tension is always going to be there, but it seems hyper-amplified these days to encourage the Can'ts to rise up and "take over" from the others.

      the patients are revolting against the asylum staff...

    6. Re:Phbbbbt. by Anonymous Coward · · Score: 1

      Elitist much?

      Yes, anyone can learn even the highest levels of mathematics, especially if they're learning on their own. In a classroom environment, students that can't keep pace fail out and are made to feel inadequate. It's not always because they're ignorant. The perception of failure and demotivation are far more influential. Of course, there are always exceptions (mental disorders & such).

      I dated a woman that spent two years reading a book I own. Two years later, she finally understood it. She didn't have the mindset to absorb the subject matter quickly, so she used determination and persistence to grasp it. Just because something doesn't come naturally for someone, doesn't mean demeaning assholes like you should spread discouragement.

      People learn and improve the more they do anything. Music, dance, language, logic, reasoning, etc. If you're not particularly coordinated, it might take you ten times longer to learn Argentinian Tango. The same with math or science. People are slower learning skills that don't come naturally. They CAN learn them but they'll have to work harder and the goal is further out. They don't lack the "facilities." Fuck off.

    7. Re:Phbbbbt. by Anonymous Coward · · Score: 0

      I think you're wrong. You incorrectly assume that "mathematics" means "advanced mathematics." In reality, math includes the very simplest of math concepts, too. When toddlers learn to count to 3, they're doing math. I recall hearing that even crows can count up to 7, I believe, and can keep track of up to 7 people hiding and reappearing. A child holding a piece of string taught, and moving it around to see how far it reaches in 3 dimensions is doing a mathematical exercise. Hearing a correlation between pitch and which piano key was struck is also a mathematical exercise. It's not advanced. But it is math. And it is rewarding. Certainly not everyone can realistically achieve the same level of knowledge as everyone else. But everyone can progress marginally, be exposed to ever more mathematical concepts, however simple, and feel rewarded from it.

    8. Re: Phbbbbt. by Anonymous Coward · · Score: 0

      I can agree with this. I got shafted with actually learning algebra due to a shit teacher in 8th grade and being out of school for over a month due to appendicitis + complications. Come back to school, expected to make up all that algebra work with NO instructional guidance and the teacher wasn't even there during tutoring hours.

      It impacted me a lot in college because I was stuck in remedial algebra courses in order to even be able to attend. Couldn't keep up with how quickly I was expected to solve problems and failed courses three times. It's not that I can't do the work (if taught proper), it's that I need time. People can't just develop that sort of quick thinking overnight.

    9. Re:Phbbbbt. by Anonymous Coward · · Score: 0

      I'm glad the prisoner didn't listen to you and tried. The situation is that virtually no one is studying math and we have a lot of room for improvement.

    10. Re:Phbbbbt. by ShanghaiBill · · Score: 1

      Are you saying he is incapable of understanding that?

      No. I am saying that if, after 13 years of math education (K-12, he is a HS grad), he still doesn't understand a 2nd grade concept like the volume of a box, then he sure as heck is not going to contribute to the advancement of mathematics, by proving the Riemann Hypothesis, Goldbach's Conjecture, or anything else. Although it is politically incorrect to say so, the "tabula rasa" theory of human intelligence is baloney. Some people are just plain stupid. If you really think otherwise, then you should spend some time with someone with Williams Syndrome. While volunteering at a mental health clinic, I have met (and befriended) several. These are people that may initially seem normal, or even socially adept, but have an astonishing inability to reason quantitatively, much less understanding abstraction.

    11. Re:Phbbbbt. by Anonymous Coward · · Score: 0

      Nonsense. For example, to understand the mathematics of a neural net is well within the reach of any person with a functioning brain. The beauty of this device is transcendent. Yes, it would be necessary to build up your mental toolkit over time. But it's not that difficult. Cases like this abound.

    12. Re:Phbbbbt. by ZayJay · · Score: 1

      I basically get and agree with your point, but I can't help thinking that there isn't some truth to this. I think what has to change is the belief that to get this kind of benefit from math is that you have to go through the formal traditional training in it, and I have personally found that isn't so. There is a lot to do in math (beyond typical applied mathematics) that most people with average intelligence could take on and master. No, one can not become Einstein or Hawking if they just "try". But there still may be benefits for most.

    13. Re:Phbbbbt. by ChrisMaple · · Score: 1

      Tabula rasa refers to the epistemological idea that individuals are born without built-in mental content and that therefore all knowledge comes from experience or perception. (wikipedia)

      The tabula rasa concept refers to lack of innate knowledge, not any particular level of potential.

      The tabula rasa concept is more true than not. A newborn has reflexes like breathing and suckling, and some memory of events in the womb, but little else. It may learn morals and math and language and physics, and that's no contradiction of the blank slate because it's not born with those things. A lack of ability to learn such things does not contradict the tabula rasa concept either. A small or damaged blank slate is still a blank slate.

      --
      Contribute to civilization: ari.aynrand.org/donate
    14. Re:Phbbbbt. by Anonymous Coward · · Score: 0

      you are actually the perfect example of why you are wrong. the conclusion you draw is a classic loser nerd on the ugly side socially inept conclusion, and you would have to work real hard to understand why. you could, but you don't, and you never will - and you'll always live this shit quality life you live.

      yes, of course she understood your book after persistently applying herself for 2 years. I could have probably read the book in a day and understood it on the spot. you can also move your apartment in your ford escort. take the couch apart. fit that shit in a piece at a time. and 2 months later you got the apartment moved - that doesn't mean that a ford escort has the facilities to move you from one house to another.

      these are basic common sense things, and while they're understood by me, and while it's easy for me to walk up to a hot girl, be interesting, and pick her up - it's a concept you'll never get. you could, but you won't. it's because while you don't lack the facilities, your facilities are lacking.

    15. Re:Phbbbbt. by mcswell · · Score: 1

      "Lots of people simply do not have the intellectual facilities...you're not going to become Einstein just because you 'really try.'"

      Of course. But I think the point of the original article (and the talk) was that somewhere along the line, someone who did have good intellectual facilities got lost in the system. To what extent it was his fault (for falling in with the wrong gang), and to what extent it was the system's fault (for not recognizing his ability and helping him use it), I have no idea. And how frequent this is, I also don't know. But it is a problem. I was lucky, and maybe you were too; I was in a school system that recognized talent and helped you succeed, and I had great teachers along the way. And I never ran into the wrong gang. Not everyone is so lucky.

    16. Re: Phbbbbt. by Anonymous Coward · · Score: 0

      A 100 IQ, average is capable of higher mathematics. They aren't necessarily going to create some breakthrough, but a person average intelligence should be able to appreciate mathematics with a great deal of practice. Just as a person of average physical dexterity should be capable of playing guitar, but it might take 3-6 years of practice to be recognizably skilled at it

    17. Re:Phbbbbt. by mcswell · · Score: 1

      "[The newborn] may learn...language... and that's no contradiction of the blank slate because it's not born with those things."

      Chomsky would disagree with you about language, and so would I (I'm a linguist). Virtually everyone learns at least one language, which is unlike the learning of math, physics, and (to some extent) morals. The only plausible explanation (I think) is that we do not come to language with a blank slate; we have some innate understanding of how languages work, and some more or less automatic way to learn them from exposure.

    18. Re:Phbbbbt. by michael_wojcik · · Score: 1

      How about we say that mathematics is accessible to "Anyone that has the intellectual facilities to master a spoken language" and who really tries?

      That's still rubbish, without qualifying "mathematics" much more narrowly.

      I'm pretty good with mathematics. I have a CS degree (among others). I was doing multiplication in preschool, calculus and recreational mathematics (some topology, number theory, that sort of thing) in high school. In college I did linear algebra, discrete mathematics including predicate calculus and group theory, lambda calculus, statistics - all the usual suspects. On my own I've worked through such things as category theory and algorithmic information theory. I've developed algorithms that required mathematical proofs. I regularly read academic papers with significant mathematical content.

      But it doesn't take me long to find mathematical problems and discussions that force me to study them carefully and work through them on paper, and sometimes look up explanations, to understand them. That's true even in treatments intended for lay readers. Right now I'm working my way through Smullyan's Forever Undecided, which develops the Incompleteness Theorem using doxastic logic, and, man, it seems like every page I have to read paragraphs multiple times and try out degenerate cases on paper before I get what he's saying. Even for something simple like continued fractions I need to be feeling pretty alert and focused, or it just doesn't click.

      I have a much easier time with mathematics than most of the people I personally know, but I have a few friends who are professional mathematicians (in academia or industry), and they fly circles around me. Simply much, much, much faster at picking up new formalizations and grasping their consequences.

      There are vast realms of mathematics ("known" mathematics, for the Realists in the audience) which aren't accessible to me. It'd take me decades to learn an appreciable fraction of them. Some of them I probably can never understand, regardless of how much effort I put into it - and I'm good at that sort of effort. I'm a knowledge worker, after all, and I've earned multiple college degrees, in disparate subjects.

      So claiming that some straightforward qualification indicates a person can "do" math is vacuous. It says nothing useful, because "mathematics" is a tremendously large domain of study (basically the study of all constructions which can be formed by extending some set of axioms using formal productions), and because that domain requires increasing intellectual capabilities as it expands. It might be true that anyone who can learn a natural language can learn arithmetic (though I wouldn't be shocked to learn of a counterexample); it might even be true that any such person can learn basic algebra of real numbers (though that's more dubious). But "mathematics" at large is accessible to only a small fraction of the population.

      (And, of course, most of mathematics in a strict sense isn't accessible to anyone, because most of it is incompressible and large. Chaitin proved that thirty years ago.)

  24. Re:Mathematicians don't let mathematicians do drug by lobiusmoop · · Score: 3, Interesting

    The ugliness of the real world in comparison to that mathematical beauty can unfortunately be a bit too much.

    --
    "I bless every day that I continue to live, for every day is pure profit."
  25. If you really enjoy doing X by Anonymous Coward · · Score: 0

    And there aren't good reasons (physical risk, degradation of health, illegality, lack of opportunity, etc) for doing X, then make sure you do a lot of X.

    Where X could be mathematics; it depends on the individual.

    1. Re:If you really enjoy doing X by Anonymous Coward · · Score: 0

      If X is something no one is willing to pay you to do, eventually you will wake up one day, alone and bitter and destitute, wondering why you didn't do Y like all the popular rich idiots.

    2. Re:If you really enjoy doing X by Anonymous Coward · · Score: 0

      You are short-sighted. There is more to life than money.

    3. Re:If you really enjoy doing X by Anonymous Coward · · Score: 0

      Money buys food. Try living without food. Hint: you die.

    4. Re:If you really enjoy doing X by Anonymous Coward · · Score: 0

      We produce enough grains alone to feed the world. Scarcity of food in this day and age is a consequence of artificially imposing scarcity on money. Meanwhile the private sector creates money willy-nilly, creating world capital that is about $1 quadrillion, ten times world GDP.

    5. Re:If you really enjoy doing X by Anonymous Coward · · Score: 0

      And yet I'm still hungry.

      When is Trump Trump Trump making America Great Again because I'm not finding any work this year either.

      Whose private sector parts do I need to massage to become valuable in the simple minds of the illiterate innumerate power brokers who control all the money.

    6. Re:If you really enjoy doing X by Anonymous Coward · · Score: 0

      And if you're one of the idiots who did Y instead of X (especially if you weren't one of the ones lucky enough to get and stay rich), you'll wake up one day wondering why the hell you wasted your life when you could have been doing X.

    7. Re:If you really enjoy doing X by Anonymous Coward · · Score: 0

      The rich idiots who did Y for money used their disposable income to do X on the side. Meanwhile the poor fools who dedicated their lives to X starved to death.

  26. It's just logic to me by SciFurz · · Score: 1

    Numbers have been nothing but logic for me.

    Those five basic human needs are what I have found in reading and writing. There you deal with emotions and subjectivity.

    --
    Write and/or read. https://scifurz.wordpress.com/
  27. Please limit your applause. by fahrbot-bot · · Score: 1

    Math conferences don't usually feature standing ovations, ...

    That's because the usually ask people to limit their applause, but as the number of people still standing approaches zero, there's always one guy who keeps clapping for *way* too long...

    --
    It must have been something you assimilated. . . .
    1. Re:Please limit your applause. by sconeu · · Score: 1

      So, what you're saying is:

      lim applause(x) > 0
      x->0

      --
      General Relativity: Space-time tells matter where to go; Matter tells space-time what shape to be.
    2. Re:Please limit your applause. by Anonymous Coward · · Score: 0

      That was funny. Wish I could mod you up but I'm an AC.

  28. Re: To reduce STEM wages by Anonymous Coward · · Score: 0

    H1B is not "talent" you moron. H1B is the reason americans who lost jobs commit crime, then have to be taken care of in prison with tax money. Fuck. Exterminate all parasites H1B.
    AMERICA FIRST

  29. Re: To reduce STEM wages by TWX · · Score: 1

    Or I could be referring to the history of the Calculus program that the high school that Olmos' character portrayed as having built and nurtured...

    --
    Do not look into laser with remaining eye.
  30. Re:Mathematicians don't let mathematicians do drug by Anonymous Coward · · Score: 0

    Mathematicians_who_committed_suicide

    Despair at the ugliness of the world drives some mathematicians to murder instead.

  31. Re: To reduce STEM wages by Anonymous Coward · · Score: 0

    Those of us who are most passionate about STEM are those who never enter the field

    And instead get jobs waiting tables. We display our passion by going online and posting how we love Science!

  32. ^^ Truth. Advanced math not much use by Anonymous Coward · · Score: 0

    Parent is correct. I got an electrical engineering degree which pretty much is an applied math degree: calculus (vector, multivariate, complex number), matrix algebra, probability, etc.

    It's of no use in my life as a software engineer. (Maybe the probability is nice to know, but I can't say I use it in my work.)

    Thinking logically and in an abstract way is very helpful (discrete math?), but I don't do anything with numbers beyond arithmetic, ratios, maybe exponents if I am lucky.

    It just isn't true that advanced math improves most people's lives. Sorry.

  33. Mathematics is far larger than "numbers" by Anonymous Coward · · Score: 0

    The study and use of numbers is just one aspect of mathematics; the larger structure is indeed a matter of logic: Mathematics is the encoding of and subsequent manipulation of thought—it's the most precise kind of language that there is.

    1. Re:Mathematics is far larger than "numbers" by Anonymous Coward · · Score: 0

      Math is too limited to describe nature. Math can't even describe natural language. According the the Chomsky Hierarchy, formal languages are a subset of context-sensitive grammars and natural language is at least context-sensitive.

  34. Re: To reduce STEM wages by alvinrod · · Score: 1

    You've probably never seen the film. It's a direct reference to students who were considered by society to somehow be unable to learn those mathematics, not only being able to learn that material, but also being able to demonstrate their knowledge and mastery when the world decided there was no way those poor dregs could have actually amounted to anything and learned the material for themselves. It's a pretty clear indication that the U.S. has plenty of capable workers, but that our education system fails them and that society fails to recognize their potential for success.

    Also, it's pretty damned elitist to think that someone in education has a dead-end job or one that they couldn't possibly enjoy.

  35. Motivation is the problem by Anonymous Coward · · Score: 0

    A lot of math has little connection to anything else. To study it, you need a love of working with arbitrary patterns for their own sake. Most people see this as pointless and therefore don't have the needed enthusiasm to study it. This is coming from someone who studied plenty of higher math as an undergraduate and mastered it. Higher Math is being oversold.

  36. Clearly he's never met a statistician by xxxJonBoyxxx · · Score: 1

    >> desires met through math: ...truth

    Clearly, he's never met a statistician.

  37. Mathematical thought process by Anonymous Coward · · Score: 1

    I have a math degree and then got a PhD in EE. I drifted into software development of physics codes and have to say that my undergraduate math degree has been very useful. It basically taught me how to think and approach problems. I see code as a theorem and every step needs to be examined for logical errors and implicit assumptions. As a result, I have been able to catch bugs by reading my and other peoples codes before testing. While I would never have been happy as a mathematician, the skills it provides can still be valuable for other occupations.

    1. Re:Mathematical thought process by Anonymous Coward · · Score: 0

      So while your coworkers are writing lots of crappy incorrect code and testing and fixing each others bugs and making lots of commits, you're underperforming and you're fired.

  38. Link to the actual talk by Anonymous Coward · · Score: 0

    You'd think it'd be worth the submitter/editor's time to at least link to the actual talk...

  39. Re:Mathematicians don't let mathematicians do drug by ShanghaiBill · · Score: 1

    some people experience a kind of transcendent wonder that they're seeing something true about the universe

    Isn't the same math true in any universe?
    Could there be an alternative universe where 1+1=3?
    Or where 4 is prime?

  40. Re: This statement is a lie by hackwrench · · Score: 1

    This statement is a lie starts off with no value. It then evaluates to false and remains so, for it can never mister the credulity to ever be a lie. Perhaps you were thinking of, This statement is false, which starts off with no value, becomes false and then alternates between true and false.

  41. Re: To reduce STEM wages by Anonymous Coward · · Score: 0

    You've probably never seen the film.

    I've seen the film. Teacher performs in front of a classroom to motivate inner-city youths to learn mathematics. I've seen it happen in real life too, because my father is a retired math teacher from the inner city, and I've seen him perform in a classroom. He's not a mathematician, he's a performer, and he performed an act in which he taught mathematics.

    Also, it's pretty damned elitist to think that someone in education has a dead-end job or one that they couldn't possibly enjoy.

    My father taught the same subjects for 40 years. I know for sure it's a dead-end job.

  42. Re:Mathematicians don't let mathematicians do drug by ShanghaiBill · · Score: 2

    The ugliness of the real world in comparison to that mathematical beauty can unfortunately be a bit too much.

    The profession with the highest suicide rate is farming.
    The lowest are teachers and librarians.
    Mathematicians are in the middle.

    Farmers tend to be old, they often work alone, and one bad season can ruin them financially.
    These are all aggravating factors for suicide.

  43. Re: How much effort by hackwrench · · Score: 2

    How much effort was put into helping him understandthe concepts behind which operator to use? Even going bact to two dimensions and illustrating what happens when you take three rows of three and multiply them as opposed to adding them and explaining that the word "by" can signla a multiplication may scratch deeper than what he has picked up on so far. You have to get his attention first though, and there are lots of other unexplored details. So we know too little about how people work and fail to work to adequately address the situation of what people can and cannot do.

  44. Thanks by Okian+Warrior · · Score: 1

    Thank you.

  45. Re: To reduce STEM wages by Anonymous Coward · · Score: 0

    So say we all!

  46. Re: except for Common Core by Anonymous Coward · · Score: 0

    when it is give Estimate for 2.5 + 2.5 and you say 5, but they want 4 because you were supposed to cut the .5s off and add them.
    Then Common Core fails Stem

  47. Re: What is math that thpu art mindful by hackwrench · · Score: 1

    Some argue that programming is merely a form that an expression of math can take.

  48. Re: To reduce STEM wages by serviscope_minor · · Score: 1

    When you answer "What's 2+2" with the number 4, your teacher can't dock you points because they don't like the way you wrote the 4.

    They can, however, dock you points for getting the wrong answer if, for example, you're supposed to be working in GF(3).

    --
    SJW n. One who posts facts.
  49. Re: To reduce STEM wages by Anonymous Coward · · Score: 0

    For the literature teacher who wants you to exalt their favorite author or the history/civics teacher who will give you a higher grade for parroting their political point of view, you might have a point.

    One of the better points of science and math is that it's not quite as subject to that sort of kiss-assery. When you answer "What's 2+2" with the number 4, your teacher can't dock you points because they don't like the way you wrote the 4.

    My science teacher in 5-8th grade would disprove you. I got 88 out of 100 multiple choice questions correct and was graded as 97% correct, my friend who didn't kiss ass, got 93 out 100 and was graded as 89% correct.
    Tell me again how a teacher can't dock points even in clear black & white, right & wrong exams.

  50. Re: Of course they are different by hackwrench · · Score: 1

    2* 3 is different from 3*2 and 3+3. That doesn't mean they can't all equal 6. I meant, what was the difference thst makes your example inconsistent and my example not inconsistent.

  51. Re: To reduce STEM wages by Anonymous Coward · · Score: 0

    Our maker blogs are full of blinky hardware hacks! Our git repos are full of flashy software hacks! And in our day jobs, we don't ask if you want fries with that, because we don't serve fries at Jimmy Johns!

  52. Re:Mathematicians don't let mathematicians do drug by Anonymous Coward · · Score: 0

    Isn't the same math true in any universe?

    No.

    There is no "true" math in our universe. There are an infinite number of self-consistent sets of axioms that define a 'math'. We just choose the one we like best.

  53. Re:Mathematicians don't let mathematicians do drug by Anonymous Coward · · Score: 0

    It seems to me that those particular mathematicians missed out on encountering one of the more-profound things, related to mathematics. Anyone who combines Gödel's Proof with Cantor's analysis of "transfinity", can thereafter realize that even if you know an infinity of stuff, that only allows devising questions that can lead to learning an even greater infinity of stuff. Endlessly. It is therefore impossible for anyone to know everything (includes God), but it also means that you can live for an eternity and never get bored, from running out of things to learn.

  54. Duh by Sulik · · Score: 1

    Breaking news: thinking rationally using logic makes you less irrational. Wow, Slashdot is full of insight these days...

    --
    Help! I am a self-aware entity trapped in an abstract function!
  55. Re: To reduce STEM wages by Anonymous Coward · · Score: 0

    H1Bs will turn to drug smuggling and outsmart stupid Trump and his stupid wall, because they're better at math than stupid Republicans and now they're motivated to screw the US^W^W^Wcater to the demand for drugs by Amuricans.

  56. And some of us by kilodelta · · Score: 1

    Enjoyed the math enough but decided to go in a different direction like Computer and Information Science, Information Security etc. It's where I went.

    1. Re:And some of us by Anonymous Coward · · Score: 0

      Save us from the cyberterrorists, oh great cyberwarrior. You chose a politically correct career.

  57. Re: This statement is a lie by Anonymous Coward · · Score: 0

    Pedantic nitpick by a genius who can't spell "muster".

  58. Everything is Math by Anonymous Coward · · Score: 0

    I used to teach a course at a community college called "Everything is Math" to show how math undergidrs even the most common things/

    1. Re:Everything is Math by Anonymous Coward · · Score: 0

      Undergirls?? What are you some kind of pedophile?

    2. Re:Everything is Math by Oligonicella · · Score: 1

      No, he just likes AKB48.

  59. Re: To reduce STEM wages by Anonymous Coward · · Score: 0

    Smuggling is grunt work. There's math in meth production. They don't call them chemical equations for nothing.

  60. Re: Of course they are different by serviscope_minor · · Score: 1

    I meant, what was the difference thst makes your example inconsistent and my example not inconsistent.

    Pretty much the definition of inconsistent is when, for some proposition, P, you can prove P and prove not P from your axioms.

    You haven't proven any proposition let alone its inverse, so you example is not one of inconsistency. I don't follow what you consider to be inconsistent about 2*3=6 and 3*2=6 and 3+3=6.

    --
    SJW n. One who posts facts.
  61. Re: To reduce STEM wages by Anonymous Coward · · Score: 0

    Sounds like you think all questions are weighted equally and included in the final grade vs having a few bonus questions or some unscored questions as a calibration set.

  62. Re: To reduce STEM wages by Anonymous Coward · · Score: 0

    4 is the wrong answer. 2+2=1+1+1+1

  63. Re: How much effort by Oligonicella · · Score: 2

    How much effort was put into helping him understand the concepts behind which operator to use?

    Why is it incumbent on him to even give a shit? Personally, I'd let the co-worker flounder. He's had plenty of time in life to learn. More likely, he's just lazy. Not like it's difficult to slap a sticky on the wall that says "package volume takes multiplication".

    So we know too little about how people work and fail to work to adequately address the situation of what people can and cannot do.

    Untrue. We *can* be adequate about it, just not perfect. I'll wager that even *you* will tell at a glance that this guy is not going to be doing any significant math.

  64. Re:Mathematicians don't let mathematicians do drug by Anonymous Coward · · Score: 0

    Do mathematicians not let Erdos do drugs either?

  65. Breaking News! by Anonymous Coward · · Score: 0

    Breaking News! Mathematicians like zee Maths!

    Look, I understand the message in the inspiring story about the inmate Christopher. It's great that a person whose life was a mess, found a purpose and some order. However that quest hardly need be limited to math. And for people who don't like or 'get' match, it's pointless and counterproductive to suggest that math is the only way to wisdom, enlightenment and a good life.

    This story reads like a more positive version of the occasional pissing contests between Physicists, Chemists and Biologists. Which is the 'better' science? Which is more important? Yet the whole argument is biased and partisan because the Physicists are arguing for Physics, the Chemists are rooting for Chemistry, and so forth. Even worse, the argument misses a larger point entirely. Each of these disciplines addresses a coherent body of knowledge about systems that are at a specific range of size and organizational complexity. You cannot fully understand the world without all of them.

    So math, yes, good, but who's to say that building your life around gardening, or church, or reading, or children, is bad?

  66. Re: To reduce STEM wages by Anonymous Coward · · Score: 0

    In GF(3), 2+2 and 4 are still equal.

  67. Re: To reduce STEM wages by Wargames · · Score: 2

    That's not true, I had two 1st grade math teachers. : I was doing multiplication problems and powers of 2 in with my first one (a continuation of stuff I learned from my father). Then my family moved. My second 1st grade math teacher docked me for writing fours with a triangular top (4) as opposed the accepted fours that look like an upside down 'h'. I was also docked for writing 9's that look like upside down 6's, instead of the accepted nines that look like mirrored P's. As punishment, I was required to fill up a notebook page of with hundreds of mirror-P shaped 9's.

    Many of my teachers were more focused on indoctrinating me rather than improving my mind.

    Reflecting; it is funny that the fonts I use today depict numbers the way I learned to write them from my Dad rather than the way I learned to write them in school.

    --
    -- Each tock of the Planck clock is a new world and here we are still life. --
  68. Re: To reduce STEM wages by TeknoHog · · Score: 1

    My second 1st grade math teacher docked me for writing fours with a triangular top (4) as opposed the accepted fours that look like an upside down 'h'. I was also docked for writing 9's that look like upside down 6's, instead of the accepted nines that look like mirrored P's.

    I've heard similar stories, but it's always in the early grades of elementary school, where the teachers aren't expected to understand specific subjects -- the school is more about fitting in than knowing or learning. After the first few years, you should have proper subject teachers. In contrast, the GP's points about kiss-assery in certain subjects is a lifelong issue.

    --
    Escher was the first MC and Giger invented the HR department.
  69. Math is gay by Anonymous Coward · · Score: 0

    Hopefully somebody pantsed that nerd after he gave that gay speech

  70. Re: How much effort by Anonymous Coward · · Score: 0

    > How much effort was put into helping him understand the concepts behind which operator to use?

    I think that's a big part of the problem, right there.

    We try to teach kids math as a set of numbers and operators to use, according to rules they have to memorize. We don't bother much with context or digging into the concepts behind the rules.

    Just memorize the formula and regurgitate it on the exam. Done? Done.

  71. Is Slashdot the target of Post-Bots? by Traf-O-Data-Hater · · Score: 1

    What is with these nonsensical postings, almost always as AC? There seem to be more and more of them over the last few months, and pretty much on any article. My guess is /. is an easy way to inject output by scripts that generate pseudo-random phrases, and possibly monitor the replies (like this one). Starting to /. needs an always-available way to tag nonsense posts rather than having to wait for mod points so it can be marked Offtopic.

  72. Re:Mathematicians don't let mathematicians do drug by Anonymous Coward · · Score: 0

    "Farmers tend to be old, they often work alone, and one bad season can ruin them financially."

    I would also wager that they are more likely than people in most occupations to have easy access to guns, which is also an aggravating factor.

  73. Re: To reduce STEM wages by Anonymous Coward · · Score: 0

    Perhaps he was a neeger?

  74. Shows what by hackwrench · · Score: 1

    Just the other day, aliens from Rijel 9 plucked him up and retrained his neural net to fly their hypertrasnwarp gizmo home instead of running his body.

    But seriously, I don't know what he is capable of. We don't even know how what he does have allows him to perform the tasks he seems capable of performing in the photo.

  75. Re:Mathematicians don't let mathematicians do drug by lgw · · Score: 1

    Math is not an empirical concept. It's not a property of our universe. It's a set of first principles, plus a set of principles of deduction, like any other formal system.

    Math works shockingly well in predicting our universe, though. Handy, that.

    --
    Socialism: a lie told by totalitarians and believed by fools.
  76. Spelling muster by hackwrench · · Score: 1

    I was on my phone and several times circumstances ate my post. I'm fairly certain that some of the other times I had it right. The shortcomings involved with making these posts offer lots of opportunities for errors to creep in other than being unable to spell. And since we seem to have a difference of opinion as to whether my assertion was a pedantic nitpick or a somewhat solid refutation of his claim, anyone else wish to chime in?

  77. Re:Mathematicians don't let mathematicians do drug by Anonymous Coward · · Score: 0

    I thought it was dentists?

  78. Re: To reduce STEM wages by Anonymous Coward · · Score: 0

    But you can, when you get the infamous follow-up statement, "please show your work"...

  79. Summary by roca · · Score: 1

    Mathematicians Agree That Mathematics Is The Best

  80. Re: To reduce STEM wages by Anonymous Coward · · Score: 0

    It's a question of return on investment and diminishing returns. We COULD educate every single high school graduate to competency in multivariable calculus, partial differential equations, and linear algebra. Why would we bother doing that, though? It would only depress the salaries of knowledge workers and result in dissatisfied workers in menial labor/minimum wage jobs.

    We only have so many jobs that actually require skilled and educated labor. Trying to make every K-12 student into a future PhD is a misallocation of finite education dollars. You're better off reserving the 50% of the money otherwise spent educating the future gas station attendants and cashiers for educating the top 50% of their peers. To attempt to do otherwise is like attempting to achieve 0% unemployment. Getting the edge cases to a level of basic competency has a substantially lower ROI vs. spending those same resources on the highest performers.

  81. Music and Math by samwhite_y · · Score: 1

    As a general rule, people do not listen to music because it is useful. They listen to it because they can appreciate it on many levels, from the poetry of the words, the emotional tenor of the melodies and harmonics, the driving urge of the rhythms, and the overarching story told by the composer. Nobody (or almost nobody) argues that listening to music is a waste of time because it did not help them on their job. Music is the reward not the labor, though for musicians and composers it can be both.

    I think what the story about Christopher is trying to say is that mathematics can have a similar appeal for those who can learn to appreciate it. But looking at music also shows something else. People's tastes in music vary greatly. One person's greatest and most moving musical performance can be on another person's "hate list" (I am thinking of Disco when I say this). Similar things can be said about art, dance, movies, architecture, games, and sports (and probably much more can be added to this list). In my view, one of the points of a good education is to learn how to see at least a few of these things as rewards instead of as labors. For a mathematician, math is its own reward and there is an argument to be made that a large part of the world truly cannot understand that fact, especially if they have never had an intimate understanding (full on with the proofs using limits) of a theorem like the Fundamental Theorem of Calculus.

    But to say that anybody can or should appreciate math is nonsense, just as saying that all persons should love Disco or Abba.

    1. Re:Music and Math by TeknoHog · · Score: 1

      Agreed, and I'd like to go a bit further with the art/music analogy. I think mathematics is an integral (pun intended) part of our culture, like it or not. You might not like classical music, but you'll probably appreciate its influences on more modern music.

      This is somewhat related to the idea of math as a tool. For instance, I'd like young people to appreciate all the scientific research that went into creating their shiny electronic toys. But there's a lot more than the utilitarian aspect. A lot of our world and culture is built on mathematical and scientific ideas, simply because they have been effective means of making progress. Today's culture is increasingly digital and computational, so we should be teaching math even more as a form of art, rather than a tool for engineers.

      --
      Escher was the first MC and Giger invented the HR department.
    2. Re:Music and Math by colinwb · · Score: 1

      I'm not a mathematician, but - from many years ago - I do have a mathematics degree. I'm also not a musician, but I have a very strong interest in many types of music. (But not Disco! Nor Herb Alpert & The Tijuana Brass. But I digress.) And I have a very strong interest in dance: but I'm not a dancer.

      Anyway, what you write resonates with me. At my university (Warwick) mathematics students could choose whether to be awarded a BSc (UK - BS in USA?) or a BA. Most chose BSc, but a few of us chose BA. My reasons were partly that I felt that most of the mathematics I chose to study was - although rigorous - in some ways more of an art than a science, and partly because I rather preferred having an "arts" degree to a science degree.

      I read Francis Su's address in full, and I recommend it, particularly the sections on the importance of play (not just in mathematics) and beauty. (And if you read Andrew Wiles's account of how he finally saw how to solve the serious difficulty that was preventing his approach to proving "Fermat's Last Theorem", you'll appreciate the joy of creation.)

      As an example of beauty in mathematics, I want to cite Muntz's Theorem, also known as the Muntz-Szasz Theorem. I came across this while taking a course in Topology: the set book was "Introduction to Topology and Modern Analysis" by G F Simmons. The appendices weren't included in the course but I read them, with not much understanding. But I was delighted when I read a description, without proof, of Muntz's Theorem. It didn't give me the aesthetic pleasure of the greatest music or dance, but my aesthetic pleasure in seeing this theorem was - and still is - maybe similar to that given by a good relatively minor piece by Beethoven or Chopin.

      I think part of its appeal to me is that the theorem is a combination of the expected and the unexpected: if you were asked to guess at the correct form of the theorem, then you might well choose what is actually the theorem, but it's still in some ways a surprise, something which is perhaps also true of some of the greatest music - it can be both familiar and strange.

      Think of a "continuous" function, say sin(x), and consider it defined on a restricted interval a <= x <= b.
      * The Weierstrass Approximation Theorem says that any "continuous" function defined on a restricted interval a <= x <= b can be approximated as closely as we wish by (carefully chosen) polynomials of a sufficiently high degree.
      * Muntz's Theorem says that suppose we don't allow all powers of x in the polynomials, and instead use only a restricted set of powers of x: for example
      **maybe (1) only x**0 and x **i where i is a multiple of 3,
      ** or maybe (2) only x**0 and x **i where i is a prime number,
      ** or maybe (3) only x**0 and x **i where i is a power of 2:
      then Weierstrass's Theorem is still true if and only if the infinite sum of 1/i diverges, where i are the powers of x allowed in the polynomials.
      So polynomials of type (1) or (2) are all we need to approximate any continuous function, but for polynomials of type (3) there are some continuous functions which they can't approximate well.

  82. Math and science are not the tango, and v-v by fyngyrz · · Score: 1

    "Data" is not the plural of "anecdote."

    --
    I've fallen off your lawn, and I can't get up.
    1. Re:Math and science are not the tango, and v-v by Anonymous Coward · · Score: 0

      lol. All of the physicists I work with would say otherwise. Mathematics isn't even a real science.

    2. Re:Math and science are not the tango, and v-v by jedZ · · Score: 1

      Ha ha I'd like that on a T-shirt!

  83. Arrogant maybe? by Lodragandraoidh · · Score: 1

    At first, when I read the title I thought to myself, "how arrogant." What about people who are primarily verbal - and don't do math, or don't care to do math? Are they not equally fulfilled in their lives? How rich - a scientist who makes sweeping generalizations in a scientific journal.

    If he had prefaced it with, "I have observed in some people that...blah blah blah," then yeah, that would be defensible.

    --

    Lodragan Draoidh
    The more you explain it, the more I don't understand it. - Mark Twain
  84. Re: To reduce STEM wages by Anonymous Coward · · Score: 0

    Completely agree. Beyond a 60 or 70% score, the number is meaningless (or even a bad sign).

  85. Bullsht Self Glorification by Anonymous Coward · · Score: 0

    If I learn mathematics and I become a better thinker, I develop perseverance, because I know what it's like to wrestle with a hard problem, and I develop hopefulness that I will actually solve these problems. And some people experience a kind of transcendent wonder that they're seeing something true about the universe. That's a source of joy and flourishing.

    If I learn pottery and I become a better thinker, I develop perseverance, because I know what it's like to wrestle with a hard problem, and I develop hopefulness that I will actually solve these problems. And some people experience a kind of transcendent wonder that they're seeing something true about working with clay. That's a source of joy and flourishing.

    Their bullshit pride-fullness applies to anything that you take the time to focus on. It is that you are focusing on something which gives you the benefits, not that the thing is mathematics. Mathematicians mistakenly believe they're better than everyone else because everyone wrongly tells kids math is hard. Research shows that when you tell someone a task is difficult they give up earlier and don't try as hard to learn the thing because it's hard so they can accept not doing as well at it since it's hard. Tell them something is easy and if they fail they'll try again because they don't want to look stupid not being able to do an easy thing. Personality types effect this, but in general it's true for everyone.

  86. Re:Mathematicians don't let mathematicians do drug by imadeyoureadpoop · · Score: 1

    I wish I had mod points for you and ShanghaiBill. Couldn't be more correct, unfortunately.

    --
    Hanlon's Razor -- Never attribute to malice that which is adequately explained by stupidity.
  87. Re:Mathematicians don't let mathematicians do drug by LinuxIsGarbage · · Score: 1

    I thought it was Air Traffic Controllers.

  88. Re: To reduce STEM wages by Anonymous Coward · · Score: 0

    Your comment is politically incorrect. The correct falsehood which you are required to believe is anyone can become a billionaire in Murca Land Of Opportunity.

    If you stay in school, and you get that PhD, and you're still not a billionaire, then it's your own fucking fault for being a worthless loser sack of shit, because MURCA is the LAND of OPPORTUNITY.

    TRUMP! TRUMP! TRUMP! TRUMP! TRUMP! TRUMP! TRUMP! TRUMP! #1

  89. Re: Mathematicians don't let mathematicians do dru by Anonymous Coward · · Score: 0

    Who choosed that there are exactly five platonic solids in a 3D universe?

  90. Until Rudin boggs you down somewhere in Real and by darkharlequin · · Score: 1

    Complex analysis and google isn't being very helpful.

    --
    i am so very tired....
  91. Unlikely? by TiggertheMad · · Score: 1

    All the math teachers I ever had tended to be be very precise and open about the algorithms that they use to arrive at your final grade. Of all the teachers I had, I would generalize that they were the least likely to grade on feeling or hunches. Partially because they have a subject that is very discreet in nature (you are generally either right or wrong, with little opinion in the process) and because the sort of person who is attracted to math likes structure and order.

    You could be correct, but your story has a odd smell.

    --

    HA! I just wasted some of your bandwidth with a frivolous sig!
  92. Bias by Pseudonymus+Bosch · · Score: 1

    The aqueducts that lasted millennia are only those that you can see now. You should take into account all the aqueducts that crumbled after earthquakes and all those that would have crumbled if the locals hadn't quarried them.

    --
    __
    Men with no respect for life must never be allowed to control the ultimate instruments of death.
    GW Bu
  93. Re: To reduce STEM wages by Anonymous Coward · · Score: 0

    One of the better points of science and math is that it's not quite as subject to that sort of kiss-assery. When you answer "What's 2+2" with the number 4, your teacher can't dock you points because they don't like the way you wrote the 4.

    FYI, Francis Su in the video gives an example of a TA (who only graded papers) praising the work of one of the students until he found out the student was female. He then started finding fault in her work. Unfortunately it seems like bias can show up anywhere.

  94. Re: To reduce STEM wages by ChrisMaple · · Score: 1

    Sounds as if you can find an excuse for any sort of abuse.

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    Contribute to civilization: ari.aynrand.org/donate
  95. Re: To reduce STEM wages by ChrisMaple · · Score: 1

    Pity the poor CEO of Microsoft. He's in a dead-end job; he can never be promoted.

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    Contribute to civilization: ari.aynrand.org/donate
  96. Re: To reduce STEM wages by ChrisMaple · · Score: 1

    The cost of teaching algebra is pretty close to the cost of teaching "Dick and Jane". Allocating more money to teach advanced subjects K-12 is wasting money, because the actual costs for the advanced subjects (unless they require additional expensive equipment and consumables) is the same as basic subjects.

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    Contribute to civilization: ari.aynrand.org/donate
  97. Re: To reduce STEM wages by ChrisMaple · · Score: 1

    If you're trying for humor, you failed. If you're aiming for bitter incoherence, you've succeeded.

    --
    Contribute to civilization: ari.aynrand.org/donate
  98. Right Teacher for the Right Student by Anonymous Coward · · Score: 0

    The right teacher, someone like Richard Feynman:

    It's not as simple as that - different students find different teachers right for them. I always found Feynman extremely poor at explaining things and I found his Lectures on Physics books, which were recommended reading before starting first year physics, appallingly bad at explaining physics concepts...and it was not lack of ability or interest that was the issue since I'm now a physicist myself and I had no trouble understanding the same concepts from other textbooks although most of them we had already covered at school.

  99. Re: To reduce STEM wages by TWX · · Score: 1

    You're not arguing education or not, you're arguing the extent.

    The counter-argument is that people should be educated or have the opportunity to be educated to the extent that they're willing to pursue it.

    Calculus itself may not be of-use to most people, but learning how to learn Calculus is itself a skill which may translate into other learning that the individual as an adult will need, especially when it is now the norm that people will change careers potentially several times through their working lives.

    I don't use calculus even in my technical job, but I do have to devise complex plans that require lots of data collection and analysis and whose subsequent steps are based on prior results. I also do kinds of math at work that I never learned to do in school, like number base conversion and binary arithmetic. Complex math has been helpful for me even if I don't use the original material.

    Kids should have the opportunity to have this education in high school and should be encouraged to pursue it. Obviously not all will take the opportunity and not all will be qualified to take it even if they want it, but we should attempt to at least have our kids start out with the same opportunities.

    --
    Do not look into laser with remaining eye.
  100. What a twist! by Zanadou · · Score: 1

    Mathematician presents some "Math(s) is bwetiful auwsome" nonsense at a math(s) conference and gets a standing ovation from other mathematicians.

    I'm stunned, I tell you!

  101. This could backfire by Applehu+Akbar · · Score: 1

    There is an odd but persistent correlation between mathematics and insanity. A prison math program could convert an ordinary robber into a crazed serial killer who becomes a political hero to other wackjobs: https://www.google.com/search?...

  102. Re: Mathematicians don't let mathematicians do dru by ShanghaiBill · · Score: 1

    Who choosed that there are exactly five platonic solids in a 3D universe?

    Plato.
    Duh.

  103. Re:Mathematicians don't let mathematicians do drug by ChrisMaple · · Score: 1

    A lot of math has utility. We humans need to eat and we like to be comfortable. Choosing the sort of math that allows us to do those things is in large part not arbitrary.

    --
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  104. Re: To reduce STEM wages by mcswell · · Score: 1

    Similar story here, although I can't remember (it *was* almost 60 years ago) whether I got points off for writing your kind of 4 and 9 (and a 2 that looked like the printed 2, rather than some kind of curly-cue thing), or whether I just gave in so I wouldn't lose points. It wasn't until drafting class in High School that I reverted to my father's 2, 4 and 9. (He was an engineer, and in those days being an engineer meant hand-written numbers and words on your blueprints: drafting.)

  105. Re: To reduce STEM wages by mcswell · · Score: 1

    Another movie you might like, with similar point of view, is "Spare Parts" (http://www.imdb.com/title/tt3233418/). Also a book. A Wired article tells the story more briefly (https://www.wired.com/2014/12/spare-parts/).

  106. Re: To reduce STEM wages by mcswell · · Score: 1

    I took algebra, geometry, trig, and calculus in High School, and a smattering of linear algebra; finished with a semester of calculus and a semester of probability and statistics in college. The latter was a very theory-oriented course: we learned that there is a theorem that says it's possible to cut up a solid object and put it back together in such a way that it's twice as big (radius, volume, doesn't matter) with no space. (Of course it only works if the sphere is infinitely divisible, i.e. not atomic.)

    What have I actually needed since then? Well, I studied linguistics, and now work in computational linguistics. Geometry was eye opening: the notion of proof from axioms. Basic algebra and trig were of some use; advanced algebra and calculus never really helped. But I sure wish I knew more about linear algebra and statistics.

    YMMV, of course; engineers, especially electrical engineers, probably need the rest, and of course there are science disciplines that need other kinds of math. But IMHO *everyone* should know a lot more about probability and statistics. And that includes students who never go to college. Very little algebra is needed to get a working knowledge of statistics.

    In sum, I think the math that's taught (past arithmetic) is upside down. (Most) people need more statistics, and far less algebra, trig, calculus...

  107. This amazing show is how you inspire math students by Anonymous Coward · · Score: 0

    https://en.m.wikipedia.org/wiki/Numbers_(TV_series)

  108. Re:Mathematicians don't let mathematicians do drug by mcswell · · Score: 1

    Coffee was illegal?

    Oops, I guess that saying was wrongly attributed to Erds. But Erds is said to have drunk a lot of coffee.

  109. Re: To reduce STEM wages by Anonymous Coward · · Score: 0

    Nah it's pretty spot on.

    Something something "temporarily embarrassed millionaires"

  110. Re:Mathematicians don't let mathematicians do drug by serviscope_minor · · Score: 1

    Oops, I guess that saying was wrongly attributed to Erds. But Erds is said to have drunk a lot of coffee.

    Indeed. He attributed it to someone else. Nevertheless he did drink a lot of coffee and also took a lot of amphetamines.

    --
    SJW n. One who posts facts.
  111. Re: To reduce STEM wages by Anonymous Coward · · Score: 0

    As someone currently taking a philosophy class and a calculus class this is very accurate. The arts professors I have you literally have to have their political and cultural beliefs as your own. My math professor doesn't care about any of that, she cares that I know the material and explains in detail why I need to go through the steps, which become evident as I progress.

  112. Re:Mathematicians don't let mathematicians do drug by mcswell · · Score: 1

    On a semi-related topic, I guess /. doesn't do Unicode (I recall seeing that in someone's sig line). When I typed in my post, I had an umlauted 'o' in Erdos' name, and I see it's gone now. Weird, I wonder why /. can't get with the times? It's not like Unicode is new...

  113. Re:Mathematicians don't let mathematicians do drug by Anonymous Coward · · Score: 0

    Aristotle:
    The happy life is thought to be one of excellence; now an excellent life requires exertion, and does not consist of amusement. If Eudaimonia, or happiness, is activity in accordance with excellence, it is reasonable that it should in accordance with the highest excellence; and this will be that of the best thing in us.