zyklu5

13 ms·

31.
by zyklu5 2y ago
> The only solution here is mandatory re-education and/or limiting who can vote, or hopefully waiting for the oldest and most stubborn conservatives to die out so alphas and gen-z can vote with a little more heart and brain. Goodnes
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by zyklu5 2y ago
Thank you. It's a bit surprising to see Hegel here, I was thinking more on the lines of the analytic philosophy. Of course many early 20th c. mathematicians who were interested in philosophy such as Weyl or Gian-Carlo Rota would not ha
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by zyklu5 2y ago
Well, if concepts turn out to be simplicial (or cellular) complexes maybe philosophy can be made into applied algebraic topology.
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by zyklu5 2y ago
You scots are the most extreme combination of a people who have made vast parts of the modern world and people who know nothing about the achievement of their own people. I spent a year doing my postdoc in your country and have to say you g
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by zyklu5 2y ago
> For example, we can compare variance in song energy and danceability for U2, ABBA, and Katy Perry, then rank these artists against each other. According to this subset of variables, ABBA's discography offers greater sonic variety
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by zyklu5 2y ago
While I respect your point about rigour I should say one has to be careful not least because the way the subject is presented in textbooks are most often backwards -- axioms are really an end not the starting point. Here's another view
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by zyklu5 2y ago
I think you are mixing layers of abstraction. To make a crude but I think not unhelpful analogy: 'Understanding' is a natural language concept that is our way to describe whats happening in our heads, and like most other such conc
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by zyklu5 2y ago
I don't know what a phd in "algebra" means but I don't understand how anyone with a phd in any part of mathematics can find this unintelligibility surprising. I have a phd in what could be said to be the langlands progra
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by zyklu5 2y ago
If he could've done it in a week then he didn't really need to do it at all.
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by zyklu5 2y ago
There's another Weyl. Hermann Weyl. A mathematician almost as great as Hilbert. In fact he is the person who rigorously introduced Riemann surfaces. He is also the originator of Gauge theory -- so fundamental to modern physics.
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by zyklu5 2y ago
There is no general statement to be made here -- some tribal organisations are hierarchical other's aren't (including the ancestors from my fathers side as recent as 100 years ago). For decades now western ethnographers and cultur
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by zyklu5 2y ago
Americans have been brainwashed to conflate preference for prejudice.
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by zyklu5 3y ago
If the terms: fundamental group, covering space etc are jargon then more so is the case for words like 'explanation', 'laden' and well, 'jargon' itself. They have precise definitions meant to capture mathematic
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by zyklu5 3y ago
This was published as: Abel's Theorem in Problems and Solutions by VB Alekseev if you are interested in taking a look. https://link.springer.com/book/10.1007/1-4020-2187-9
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by zyklu5 3y ago
Not to mention the kind of mathematician that the Fields medal is poorer for not having as an awardee
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by zyklu5 3y ago
The difference is, to put in Rumsfeldian fashion, between known unknowns (kids proving QR now) and unknown unknowns (euler sensing QR, gauss proving it). That Euler knew most of the math of his time is irrelevant. If one had any serious lea
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by zyklu5 3y ago
Your first sentence can be used for anything: Etale cohomology was a low-hanging fruit because it depended on a bunch of mathematics and technology that Grothendieck benefitted from: algebra, the printing press, and modern transportation. S
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by zyklu5 3y ago
I find the notion of 'low-hanging fruit' in such contexts profoundly ahistorical. If graph theory was low-hanging why did it take thousands of years since Sumer or ancient Egypt? Or consider something from number theory: every oth
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by zyklu5 3y ago
No amount of 'progressive' re-writing of history or (ironically) whiggish re-interpretations of what some non-western cultures (including mine) did will change the fact that science as we understand it began in Europe around the e
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by zyklu5 3y ago
Can't believe you are the only one to mention this. I thought concentration of measure would be at least mentioned to ML students right about the time they learn about the curse of dimensionality