Slashdot Mirror
The Peculiar Math That Could Underlie the Laws of Nature (quantamagazine.org)
xanthos writes: A fascinating article in Quanta magazine introduces us to Cohl Furey and the eight dimensional mathematics called octonions that she is using to model the interactions of strong and electromagnetic forces.
"Proof surfaced in 1898 that the reals, complex numbers, quaternions and octonions are the only kinds of numbers that can be added, subtracted, multiplied and divided. The first three of these "division algebras" would soon lay the mathematical foundation for 20th-century physics, with real numbers appearing ubiquitously, complex numbers providing the math of quantum mechanics, and quaternions underlying Albert Einstein's special theory of relativity. This has led many researchers to wonder about the last and least-understood division algebra. Might the octonions hold secrets of the universe?"
"In her most recent published paper she consolidated several findings to construct the full Standard Model symmetry group for a single generation of particles, with the math producing the correct array of electric charges and other attributes for an electron, neutrino, three up quarks, three down quarks and their anti-particles. The math also suggests a reason why electric charge is quantized in discrete units -- essentially, because whole numbers are."
"Proof surfaced in 1898 that the reals, complex numbers, quaternions and octonions are the only kinds of numbers that can be added, subtracted, multiplied and divided. The first three of these "division algebras" would soon lay the mathematical foundation for 20th-century physics, with real numbers appearing ubiquitously, complex numbers providing the math of quantum mechanics, and quaternions underlying Albert Einstein's special theory of relativity. This has led many researchers to wonder about the last and least-understood division algebra. Might the octonions hold secrets of the universe?"
"In her most recent published paper she consolidated several findings to construct the full Standard Model symmetry group for a single generation of particles, with the math producing the correct array of electric charges and other attributes for an electron, neutrino, three up quarks, three down quarks and their anti-particles. The math also suggests a reason why electric charge is quantized in discrete units -- essentially, because whole numbers are."
that women is a nerd
nah, normally 4 vectors are used which are NOT quaternions. Not seeing what advantage their use would give over four-vectors since they wouldn't represent space-time but rather space and operations in space.
Who ever put together that diagram about "Four Special Number Systems" was completely clueless about Mathematical Singularities
*facepalm*
NO, you do not. 0/0 is a singularity because it does NOT produce another real number. You get TWO numbers: +Infnity, and -Infinity and thus Mathematicians say the operation is "undefined".
"Can I have a Coke please."
no, physicists will devise experiments and look for a predicted particle. sometimes they will find it.
Trump invents things in tweets.
He invents fake news!
Did I win anything?
Denies it happened, deems it fake.
I'm sure you could fill volumes with stuff Trump doesn't understand.
"The math also suggests a reason why electric charge is quantized in discrete units — essentially, because whole numbers are"
So... you're telling me that reality is defined by an abstract algebra concept?
I thought we were using abstract algebras to *model reality*--not the other way around.
Comment removed based on user account deletion
And this is why we can't have nice things. People say they want peace, but they do not. People want war and struggle. That is why a country can never have peace, If there are no external enemies they will make up internal enemies called Democrats and Republicans who will fight to the bitter end for good and right. Just remember these so called evil Trump supporters feel to their very heart that they are doing the right thing. They were just born in a different part of the country from your soo enlightened self.
There are some more loft individuals that can find their struggle in understanding the beauty of the universe. Lets keep politics out of mathematics
Nice thing about posting this story on Slashdot, is the ONE person that understands it, has left for greener pastures.
No she says "and uh uhm yeah like he totally did understand it."
Some fried mushrooms to.
"get me a coke"
Obviously Pres. Psychopathic Freakshow poops into his hand, lifts the brown lump overhead with a dopey grin, and tells @seanhannity to sell his latest candy confection to the dimwits.
When cavemen .... .... ....
When physicists
When mathematicians
When some /.ers see something they don't understand they go galumphing far afield off-topic or get cranky at the editors.
Everything is connected in ways we can't even comprehend.
The Russians have won. They have made the world a cesspool of distrust, greed, fear and hate.
Fuck women!
Not with that attitude you won't.
-Forrest Cameranesi, Geek of all Trades
"I am Sam. Sam I am. I do not like trolls, flames, or spam."
... Lets keep politics out of mathematics
The endless struggle to keep politics out of "X" rides the same rails as the struggle to keep religion out of "Y".
The Russians have won. They have made the world a cesspool of distrust, greed, fear and hate.
So, the only thing wrong with the Timecube was that it was only half the story. Timecube is dead. Long live Octotime.
Don't disappoint your bird dog. Go to the range.
Great article and illustrates how as we try to understand reality (for lack of a better word): we first find that our current level of physics can't explain what we observe so we need to go to the next level. That next level needs the appropriate mathematical tools which often end up being already invented and looking for a practical application.
From the perspective of using a branch of mathematics that is new to the field, there's a lot of similarity between this story and using mathematics to predict crime: https://science.slashdot.org/s...
I believe we need to promote and retell these stories to students so that they can look beyond the simple and search for mathematical analogues that allow them to understand and model the physical world in different ways.
Mimetics Inc. Twitter
3.9% GDP growth in Q3 2014. Enough said you conservative hack.
Can any of you smart mathematicians and physicists possibly down-translate this for the rest of us?
I'm sure I'm not alone in admitting I have not the slightest idea what the hell this is. OK, maybe I'm alone in admitting it, but I'm sure I'm not alone in having no idea what this is saying.
Without having to understand the physics or worry if it's right or not there is an important fact to be gleaned for computer scientists here. Specifically, we won't have a strong need to ever build SIMD systems wider than 8 (well maybe 16). There might be advantages for parallelism beyond that but they are merely scaling advantages not representational advantages.
That is to say, we currently handle 4 wide floats efficiently in SIMD systems. That's not an accident. Systems like Silicon Graphics were specially designed for exactly the purpose of efficient 4x4 matrix multiplication to handle quaternion graphics. Four is the essential number needed to make the atomic unit of all those transactions be the quaternion size. It makes everything else easier if you are not having to do bookkeepping on the data representation of the 4-vectors.
One might have thought that well, make an 8 then someone will want a 16 then a 32. So there's nothing special about 8. But this says indeed there is something special about 8. It's the largest size you really need to worry about the bookkeeping on. It's the largest atomic unit most algebras will ever need to treat.
You could scale beyond that but you will want to make sure that the most efficient ops can work on 8-vectors in whatever designs you consider in the future. it's special.
And microcode desginers will also want to make 8-ops special as well. Page boundaries should be multiples of 32= (8*float) etc...
Some drink at the fountain of knowledge. Others just gargle.
Yes, economic growth at the expense of ethics, personal freedoms, and national dignity. You carry on believing that.
The article seems to concentrate on this one lady, and a bunch of what looks like pure mathematics. I'm interested in the actual physics, not a mathematical formalism.
A formalism, if you're curious is just a precise definition of a theory. There can can more than one equivalent formalisms for the same theory. Quantum Mechanics has 2 or 3 I believe, and they all predict the same thing. Think of it like polar co-ordinates vs Cartesian. Each is a tool where sometimes it's better to use one, and other times the other.
So what I'm curious about is... does this actually predict anything new, or is this just a new, innovative set of math to look at the same problem? That's really what the article SHOULD have done, but instead they just took a lot of artsy pictures of the lady, and some abstract math. If it's supposed to be about physics, where's the physics?
Sextonions are for me.
Their applications are extended from DNA to celestial bodies.
"No Coke, plastic Pepsi!"
All he's done is succeed in not killing the momentum Obama created coming out of the recession.
The really amusing thing to me is that historically, James Clerk Maxwell’s mathematical theory of electromagnetism (published in 1865), which for the first time unified electricity and magnetism, was written in the form of quaternions. For this reason, it was viewed by the engineering world as obtuse and impenetrable – 20 equations in 20 unknowns! Little was done with it until Oliver Heaviside re-wrote the theory in 1884 using the curl and divergence concepts of vector calculus, replacing 12 of the 20 equations with four short differential equations. Ironically, these four equations are now taught to undergraduates as “Maxwell’s Equations,” even though Maxwell never saw them (he died in 1879).
I’ve never seen an electromagnetics textbook written after 1900 that uses the original quaternion description of electromagnetics – they all use Heaviside’s vector calculus approach. It would be supremely ironic if a distaste of quaternions set the search for Physics’ Unified Field Theory back 150 years.
You're assuming horizontal SIMD, and ignoring vertical SIMD. Horizontal SIMD places values in the SIMD lanes corresponding to dimensions 'x', 'y', 'z', etc. Vertical SIMD places values in lanes corresponding to the same dimension across different items: e.g. 'x0', 'x1', x2', ....
The former is arguably bounded to a small finite number, the latter isn't.
He just changes a word to make it into something or doesn't understand.
Oh, I mean, "does" understand.
The world has always been filled with women geniuses. What's changed is that now they can claim credit for their work. Previously they often had to attribute it to a male scientist, mostly because of idiots like you who decide if they believe something based on the gender of the author.
- a male scientist
Read the transcript: octo neons!
Or algebraic numbers?
"Proof surfaced in 1898 that the reals, complex numbers, quaternions and octonions are the only kinds of numbers that can be added, subtracted, multiplied and divided.
If you read that kind of complete bullshit, it makes it hard to believe that any insights can be gained from reading the rest of the article. It's unlikely that the actually interesting stuff will have survived the apparently unreviewed incompetence of the author.
Octmushrooms!
We could have had a nice topic on math and physics, but nooooo you had to toss out a non sequitur and bring up Trump and shit on the entire topic instead of letting the ACs respond to themselves.
What personal freedoms have been stripped away? You carry on believing that. And you're exaggerating ethics and dignity as issues.
Criminals have no ethics or dignity either, yet they illegally pour across the border from 3 countries away, and not at official entry points.
Bwahahahahahaaaaaa that's precious. How blind can you get?
It seems to imply that she is going through the process of refining the Standard Model and Quantum Mechanics in octonion maths, but isn't fully there yet. Some of it is done, but there is more to go. Perhaps once done, predictions will be made. Although it's does already seem to predict that there is nothing beyond the Standard Model, with a magic number being 8.
And here we are, talking about the most profound mysteries of the universe until the trump derangement syndrom had to pop up. The poor leftist mind, can never catch a break.
I too remember what it was like not to have a clue about market cycles.
So come to find out, there is a difference between opening your borders and opening someone else's borders.
Also, turns out that pretty much nobody wants fully open borders.
Who knew, right?
All my liberal friends think I'm a conservative, all my conservative friends think I'm a liberal.
Octonion?
Is that a satirical "news" site for cephalopods?
Actually I just want liberals to get over themselves and start being happy instead of harassing me for my convictions. Is that much to ask?
... I was gonna say that.
That's some very creative metaphors you've got going on in your head.
I'm reminded of Oliver Heaviside, who refactored Maxwell's equations into the useful and familiar vector notation that has adorned many tshirts of electrical engineering and physics students. Heaviside took an unwieldy set of twenty field equations, and reduced them to four. I do wonder what insights we can potentially learn if the model itself is refactored into an elegant form.
Her PhD thesis: https://arxiv.org/pdf/1611.091...
The mathematician John Baez has an engaging writing style, and gave an amusing account of octonian numbers (His blog is very interesting BTW): http://math.ucr.edu/home/baez/
"There are exactly four normed division algebras: the real numbers (R), complex numbers (C), quaternions (H), and octonions (O). The real numbers are the dependable breadwinner of the family, the complete ordered field we all rely on. The complex numbers are a slightly flashier but still respectable younger brother: not ordered, but algebraically complete. The quaternions, being noncommutative, are the eccentric cousin who is shunned at important family gatherings. But the octonions are the crazy old uncle nobody lets out of the attic: they are nonassociative."
http://math.ucr.edu/home/baez/...
Says that the reals, complex numbers, quaternions, and octonions are the only kinds of numbers that can be added, subtracted, multiplied, and divided. This is obviously false, as that can be done in any division algebra (including any field, like finite fields, rational numbers, etc, and there are there are uncountably many fields).
What they meant to say is that those are the only normed division algebras - basically, algebras over the real numbers with a notion of distance and such that the distance is compatible with multiplication.
"What lies behind us, and what lies before us are tiny matters compared to what lies within us." Ralph Waldo Emerson
So in the 50s a mathematician named David Hestenes developed a new branch of math called Geometric Algebra (based upon Clifford Algebras) which could subsume all of the different algebras used by physicists (and many others too). Additionally, it can handle contravariance and covariance, any positive integer number of dimensions, and handle algebras over imaginary numbers. Quantum Loop Gravity uses Geometric Algebra for instance. The problem is that Geometric Algebra isn't taught yet except perhaps at a post-doc level to mathematicians. The first textbook covering GA for Computer Science was just published in 2017. There are hopes that reformulating physics in to GA will allow unifications that were either not possible or too difficult when each part of physics uses different types of algebras.
The problem with all of this? GA is really really really hard. There is even an extension to GA called Geometric Calculus that's even more difficult. Given how difficult most students find VA which is much easier than GA, I'm not sure when we can expect most physics to make new theories using GA instead of VA. But when we can climb that hill, we will likely be able to see new physics on the other side. There are also a great many CS applications of GA as well (which is what I do).
My take on TFA, is that this physicist is going down a wrong path because she was never taught GA. If she finds something, it will likely have to be converted into GA to unify it with other algebras used in other parts of physics. But I could be wrong, who knows but some of the greatest physicists in history have gone down this specific rabbit hole with nothing to show for it at the end. I wish her luck.
"Those that start by burning books, will end by burning men."
Can any of you smart mathematicians and physicists possibly down-translate this for the rest of us?
I'm sure I'm not alone in admitting I have not the slightest idea what the hell this is. OK, maybe I'm alone in admitting it, but I'm sure I'm not alone in having no idea what this is saying.
Around 1940 (IIRC), Eugene Wigner pointed out that symmetries in physics let is map physical theories to abstract groups, and this can place restrictions on what the correct equations have to be, in a way that lets us winnow down the possible theories to only those that satisfy the group topologies.
Suppose you have a square playing card nestled in a square indentation on a table (a regular playing card, except it's square instead of rectangular). How many ways are there to pick up the card and place it back down in the indentation?
The answer is 8 possible ways. If you paint one of the edges of the card, then there are 4 possible sides (of the hole) where the painted edge can go, and then you can have the card face-up or face-down. Each of these placements corresponds to a rotation or a flip of the card: Four rotations (including the identity rotation of 0 degrees), and four flips, along the vertical, horizontal, or two diagonal axes.
No matter how many rotations and flips you make, you always end up in one of the 8 basic positions. Thus, the operations form a group - called the "dihedral" group. The operations are closed: no matter how many flips and rotates you use, it ends up as the same as one of the original 8. Each operation has an inverse, and the 0 degree rotation acts as an identity element. (It's also associative, but that's difficult to show.)
Now imagine the card centered on the X-Y plane, and draw 4 vectors from the origin out to each of the four corners. You can define 8 matrices that flip the vectors in various ways, each matrix being associated with one of the flip or rotate operations.
Thus, the 8 matrices become a representation of the dihedral group. This puts some strong restrictions on the types of matrix you use: each matrix has to have length 1 (it can't change the length of the vectors), and you can't flip one edge over without flipping the opposite edge, because you can't "twist" the card. The matrix length can't be -1 because that would make the card a mirror image - the "J" of a Jack would curve to the right instead of the left.
You can now use matrix mathematics to prove things about your group.
For a different group, consider a vector going from the origin to the unit sphere. You can consider all matrices that rotate the vector in 3D without changing its length or moving its origin. This also forms a group (operations are closed, operations have inverses, and there's an identity operation), but it's an infinite group (a Lie group) and the sphere surface is "smooth". This means that you now can now use differential geometry to prove things about your group.
This group is called SU(3), the "Special Unitary group". It's "Unitary" because the rotations don't change the lengths of the vectors (the matrices are of length 1), and it's "Special" because it doesn't allow mirror-images: the determinant ("length") of the matrix cannot be -1, in the same way that we can't have a matrix of length -1 when rotating cards.
Now consider a physics experiment. We set up an apparatus, calculate the wave equation, and at the end we measure (for example) the energy. We measure energy by applying an operator to the wave equation that describes the experiment.
We can imagine rotating our point of view around the experiment, so that when we do the experiment we measure the energy looking from the other side of the apparatus.
We expect in that case to get the same value.
This means that the energy operator we apply to the wave eq
I get the role of quaternions and octonions. What I don't get is the role of the other onions.
I mean, who is looking into the scallions, the chive, the shallots, the endive? What about leeks and garlic? Wake up physisheeple! We're never gonna crack the TOE, dark whatchamacallits, and the infamous toast flipping problem at this rate!
Geez...
Lots of conservatives hate Trump, you peabrained piece of pig poop.
How the hell did you do that? There's absolutely no gender specific information in the headline. Which leaves only the question- are you the type of idiot who is surprised women can do math, or the type of idiot who is angry they are better at math than he is?
Government spending is not growth. You can say it is though and people will believe it til the chickens come home to roost they always do.
Oh you triggered simpleton. Let me explain. The headline says she right in it, that is how I derived the gender of the person leading this work. The general thesis of my comment is that of an ironic statement regarding the few number of women in the mathmatics field and the fact that I (and most other posting here) understand a word of it.
Because they build instruments to look for particles, so they will see particles. That doesn't mean they are what reality is made of, just that we found a good-enough aproximation.
Actually I just want liberals to get over themselves and start being happy instead of harassing me for my convictions. Is that much to ask?
Too much? I don't think so. Up until recently, you might have had luck convincing liberals that being happy was good because it was the intelligent, socially-correct thing to do. Likewise, you might have convinced conservatives that being happy was good because it was the moral thing to do as demonstrated by Jesus. Times have changed and both parties have gone to the dogs.
My apologies to dogs everywhere.
The Russians have won. They have made the world a cesspool of distrust, greed, fear and hate.
Manifort is in jail without bail allowed.
Flynn is charged with lying to FBI, the agents who questioned him said he didn't lie. They forced him to plead to prevent going after his son.
Popadapolous pled guilty because they threatened to charge him with being an Israeli spy if he didn't.
Firing the FBI director, a legal action by a president, now causes a special council for obstruction of justice.
Being in the Trump cabinet means you are not allowed to go out for dinner without being harassed.
Carter Page was illegally spied on with a false FISA warrant.
There are just some that come to mind immediately. You are probably thinking what the government does to the average person that is horrible, which is nothing unless you are a Trump supporter, which I guess is now illegal.
Great. Before idiots used Hitler in arguments.
Now we get 15 Trump posts in a row instead.
Evolution ..
Nope, he goes in Twitter and insults somebody to divert press attention away from his ignorance.
No sig today...
When Bruce Schneier sees something he doesn't understand, he mentally decrypts it.
General Relativity: Space-time tells matter where to go; Matter tells space-time what shape to be.
The world has always been filled with women geniuses. What's changed is that now they can claim credit for their work. Previously they often had to attribute it to a male scientist, mostly because of idiots like you who decide if they believe something based on the gender of the author.
- a male scientist
Join hands with the clit next to you and go fuck yourselves.
Her name sounds like a comic book super hero. Cold Fury?
Nope he smashface twittering Trotsky-sluts ... and his supporters grind those pestilent bitches into the mud. How fun.
Trotsky-scum ethics .... nibbering free-bling .... paedo-dignity. We know what scab-DemoRats want. Yep we we smash slut-progs into the mud. Does it hurt yet bitch ? It will ...
Just the fifth of what the preceding administration accomplished, and 13th of the one before it.
Little news made out to be like it something huge, as it typical with this individual.
He keeps trolling you.
And, BTW, what the heck does this have to do with 8 dimensions anyway?
The headline says she right in it,
That's a link, not a headline. When you grow up you'll realize that most words have distinct meanings.
Want to know how I know you're a dumbass? Because you don't see the fucking -3 after the U.
If you can't have these without deficit spending, you do not have a healthy economy.
I hate fat people.
Obviously, he asserts either that the thing is a lie, or that he is an expert on that thing.
You also know because you can smell your own kind.
Lol, short term thinking at it's finest. I'm good now so Trump must be doing the best job.
Can I get a diagram of this please? Asking for a friend.
Sure, but we don't wake up and plan our entire day around crying about Trump like you idiot do.
well yes I think that's what I said in other terms. the representational format (as you called "x y z t") verus the pures scaling format (0,1,2,3,4..). the limit of 8 on the divisional algebras makes this special for the representational one.
Some drink at the fountain of knowledge. Others just gargle.
I'm placing a Vagina Hex on you
I'm giving you Cooties.
I'm passing word to all the women to not go out with you
also, your penis is small and I'm laughing at you in front of everyone.
Now go back to your hate porn and squeeze one off.
As if Trump has ever used the word "please"...
Your portfolio went up under Obama too.
Exactly government spending is not a good economy.
Regan failed with a deficit of 800 million the crash of 22 trillion will be ugly.
Not even one socialist country is this far in the hole.
The petro dollar is going away.
I am getting more popcorn and ammo.
He creates a new reality.
No,you just plan your day around crying about crying about Trump, you dimwitted dram of donkey diarrhea.
Last I noticed presidents get the blame/credit for stuff done by the congress and senate. Ergo, presidents have bugger all to do with most things that happen.
and if that is proven true... that is an amazing feat in itself.
TLDR: In principle you are always using the reals.
Oh, also FTFY
You saw the faces of the democrats during the state of the union address when Trump announced that black and Hispanic unemployment was at the lowest rate in history?
Instead of participating in a celebration of the Americans and our American spirit, can do attitude, and immense accomplishment, WHICH ALL OF US CREATED TOGETHER, they chose to stand stone faced, black clad, and disparaging. Great theater for the masses, and lo and behold, the media, the pundits and sick fucks all over the US ate it up.
If you were with them, with their faces and hearts, disparaging and criticizing, I want you to know that you have been chained up and beaten so much, your mind has been so broken, that you now love your abusers. These "leaders"...they took a huge steaming shit on the American people, right on our collective chest, in front of the whole world and recorded it for future generations to relive endlessly. And many of you took pride in it; supported it wholeheartedly. They told you *your* accomplishments mean nothing. They stole your agency from you. They made sure you know that only they are the triumphant ones. You get nothing save they give it to you. Even your happiness at the fact that people you know and love and want the best for can now support themselves and their families better than before...that there is now a new plateau to work forward from and achieve even more. You can't even have that...unless they let you. But they won't.
You poor beat down dog slaves, licking the hand of the one that beats you mercilessly and who rejoices to the sounds of your heart breaking apart. When they see you lashing out at everyone around you, condemning without just cause like they taught you to, and hating those that would see you succeed, then they know they have completely dominated your mind with their lies and broken your spirit with their abuse. You crave it like a drug and anyone who tries to keep you from it is your enemy. Fucking ridiculous fools, the lot of you.
These people are not leaders. Leaders empower others. These people sell only lies, hatred, and division and while you are sucking their poison down your throats, they line their own pockets at our expense. These fuckers aren't even affected by the economy, access to medical care, or worried about their retirement!!! They're fucking rich enough already, before they receive the princely imputation of government ascendancy at elected. Every single stinking one of them is so far removed from the true American experience they might as well be from another galaxy. And yet many of you let them speak for you, and when they do they pour derision and discontent all over the successes of the American people, all over yourselves, your pride, your incredible spirit and heart. And you eat it up, beg for more, even cheer them on. You poor simple bastards love it, and can't seem to live without it. I'm fucking dumbfounded at how you can take undeniable evidence of triumph, cooperation, positive change, and proof of how good American can be and let a gaggle of silver-spoon wielding would-be aristocrats tell you it means less than nothing and you should be ashamed of America in spite of your accomplishments. Fuck those people, and if you support this kind of civilization destroying self-hatred, fuck you too.
This isn't a zero-sum game. You don't have to take something away from someone else to get something for yourself.
When the only tool you have is a claw hammer every problem starts to look like the back of someone's skull.
What a well reasoned and thought out response. You sound like someone who lost out a job to a female and blames it on their gender. Most likely they were just flat out better than you. It wasn't because of their gender, it's just because you really suck.
All of a sudden the world is filled with women geniuses in every area. The past has been rewritten to include "very important" discoveries made by previously unknown women.
There is nothing in this garbage that hasn't been figured out by men long time ago. I'm sick with this propaganda. Fuck women!
Proof that Incel Trumpeters aren't coping well with the recent bans on Alex Jones.
USB, USB, USB!
All I wanted was a Pepsi...
But she wouldn't get it for me.
You get only one ring, but it's really tangled up with itself
Currently, it doesn't predict anything. HOWEVER, once complete (if successful), it will be a cleaner and more natural formalism. It should also be able to unify relativity/gravity with QM. THAT should produce some strong predictions.
Remember Mathematics only MODELS reality. It isn't reality itself. It is just a model of reality we can understand and manipulate.
People forget this about science too. Science does not "prove", it only describes.
as he felt they had for him.
This would add weight to the argument I first read 10 years ago that universities have become more and more narrative focussed instead of practical focused in their funding.
Immigration and hatred for the newcomers is absolutely nothing new in the country
sudo get me a coke
Confucius say, "Find worm in apple - bad. Find half a worm - worse."
Are we supposed to understand this comment?
The dangers of excessive individualism are nothing compared to the oppressiveness of excessive collectivism
"All he's done is succeed in not killing the momentum Obama created coming out of the recession."
Which is objectively wildly successful given the lefts prediction that he would destroy the economy by now.
... Lets keep politics out of mathematics
The endless struggle to keep politics out of "X" rides the same rails as the struggle to keep religion out of "Y".
How about the doctrine of fairness? Politicians and voters don't allow logic and analysis in politics, therefore, we shouldn't put politics into math. Thinks of it as a commutative property of philosophy.
Trump's Republican Party is a White Supremacist organization and you are clearly with the program. Remember it was only a year ago that real live American Nazis with real live swastika flags were marching in Charlotte in support of Trump. Your claim that minorities are thriving under the current regime smacks of the same kind of propaganda as Arbeit macht frei used at Nazi death camps.
Why is Snark Required?
Pythagoras called, he wants his idea back
Excuse me sir do you have any spare brain cells.
This is still above my pay grade.
Firing the FBI director is a legal action by the president.
Except when it is done in an attempt to derail an investigation into the president's campaign organization.
In that case, it is obstruction of justice.
There were eight quarters of growth of at least 3 percent, including three of 4 percent or better under Obama.
Oh, yeah, forgot the required insult.
um, you obtuse conservative.
I'll never survive the age of Trump, I suck at insulting people.
Donald Trump, on a crusade to make Nixon look respectable
OK, so what I am hearing you say is this "CNN, Reuters, AP news, NPR, and MSNBC are horrible news sources that Trump has co-opted and subverted to Russian control. No one can be trusted. I don't even know if I can be trusted. I swear I heard Russian voices from my toothpaste tube this morning. Are they in my head now?"
You have taken a logically sound position (distrust of politicians, government, and the press) and twisted it into an excuse to deny the veracity of any information you find undermines the house of cards you call a worldview. Go check out any news source you would like on this claim. No one, save you, disputes it.
Also, can we coin a new logical fallacy already for people who see NAZI's everywhere?
Your insanity aside, the truthfulness of the issue is really not at issue with respect to what I am stating. The Democrats at the State of the Union address weren't protesting the veracity of the information about jobless claims. They were upset that this happened under Republican control and wanted to make sure to turn a victory of the American people into a point of contention. They made it about themselves, not about We, The People, and in doing so fomented division, hatred, self hatred, disorientation to truth, and disorientation to authority.
I didn't expect Trump to speak for The People, to be their champion, to sing their victories and to point out how strong we are. That is the domain of the Democrats. Well, was the domain of Democrats, until they found their true religion and started selling division and hatred as their mainstay of party politics.
So yeah, telling me to not trust Trump is just finger exercise you pitiful nincompoop. Par for the course, of course. What I was deeply saddened by was the reaction by the Democrats. They wanted to make a statement, so they did. In doing so they showed me what they really think of us.
When the only tool you have is a claw hammer every problem starts to look like the back of someone's skull.
Hatred is one thing. Saying you support people who come here and then making sure they have no path to citizenship is completely another. Those hated Irish were citizens. They got a voice and a vote, and while they might have lived in fear of what some other citizen would do to them, they didn't have to live in constant fear of what the country's laws would do to them.
How can you miss the glaringly obvious differences? Are you too stupid to realize the difference between being a citizen and an illegal immigrant? I don't think so. I suspect you are trying your best to sidestep the issue because you have no way to rebut the facts.
When the only tool you have is a claw hammer every problem starts to look like the back of someone's skull.
wrong, the theoretical predictions include properties that are verified by experiment.
However I will not tolerate your bigotry. Calling me stupid because of a stated opinion is completely unacceptable
Wait a second. I'm a bigot because I want people living in America to be full participants in this country? Because I want people to live without fear of their families being taken apart i'm hateful? Because I don't want to hold people for ransom and don't rejoice when the second lives they have worked so hard to start and build are destroyed, I'm a hateful bigot?
You think because I subscribe to a version of America described by "The New Colossus" that I am a hateful person?
You are either the stupidest human I have ever met, or you are a sub-human piece of shit. Either way, I will state one last time unequivocally that exploiting people for political gain is anti-American, even though partisans will tell you completely different. Like you're doing.
I do not support hatred, especially the ingrained kind where people will tell themselves they are helping people while they use them for their own purposes. You seem to espouse this.
You can fuck right off to the depths of hell for all I care. You're aren't part of the problem, you are the problem.
When the only tool you have is a claw hammer every problem starts to look like the back of someone's skull.
You are a bigot for calling me an idiot for a stated opinion and for continuing on with personal insults.
Here is exactly what I wrote. Show me on the doll where I called you stupid...
"Are you too stupid to realize the difference between being a citizen and an illegal immigrant? I don't think so."
So me saying you are not stupid means I called you stupid, which makes me a hateful bigot.
Got it. I was right: " I suspect you are trying your best to sidestep the issue because you have no way to rebut the facts."
I hit too close to home. Understood. You can't take it. Understood. You will lie to yourself and to me to protect yourself from seeing yourself as you truly are. Understood.
When the only tool you have is a claw hammer every problem starts to look like the back of someone's skull.
"You are either the stupidest human I have ever met, or you are a sub-human piece of shit."
Typical bigot. When faced with differing opinions, insult.
You're such a good example of the kinds of behavior I see in partisan humans. I was just describing this exact scenario to someone yesterday. You see something you don't like, it grates on your world view, so you interject yourself into the situation in an offensive way and then use the reaction you create as proof and justification of the attitude you brought to the situation and the viewpoint of the other person.
You are nothing more than a curiosity at this point. How did your mind get so twisted? I think, just as I stated before, that you present a simulacrum of stupidity, when in truth you have ulterior motives.
Come clean, speak straight and plainly, and work out your kinks. You will be more effective in life. Cheers!
When the only tool you have is a claw hammer every problem starts to look like the back of someone's skull.
It doesn't work. Bigot!
Whatever. Unemployment around here is at record lows, and my portfolio at record highs. My taxes didn't go up, and freedom didn't go down. Couldn't say that during the 2008-2016.
All bought and paid for using borrowed money and environmental disasters just so Trump can make himself look good on TV.
(and some Democrat government will have to try and clean the mess up in the future, after Trump is gone)
No sig today...