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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.

23 of 229 comments (clear)

  1. 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.

  2. 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.
  3. 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.
  4. 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 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. 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 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....

    2. 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
  6. 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.
  7. 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.

  8. 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 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.
  9. 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."
  10. 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.

  11. 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.

  12. 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.

  13. 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.

  14. 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

  15. 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.

  16. 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. --