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mln84.wordpress.com | ||
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jsteinhardt.wordpress.com
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| | | | | [Highlights for the busy: de-bunking standard "Bayes is optimal" arguments; frequentist Solomonoff induction; and a description of the online learning framework.] Short summary. This essay makes many points, each of which I think is worth reading, but if you are only going to understand one point I think it should be "Myth 5? below, which... | |
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mycqstate.wordpress.com
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| | | | | This post is a follow-up on some somewhat off-hand comments that I made earlier regarding the notion of truth in a "proof-based" discipline such as pure mathematics or theoretical computer science. Since the former is easier to circumscribe and also has a larger literature available on it, for the purposes of the post I will... | |
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njwildberger.com
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| | | | | Modern mathematics is enormously complicated and sophisticated. It takes some courage, and perhaps some foolishness, to dare to suggest that behind the fancy theories lie serious logical gaps, and indeed error. But this is the unfortunate reality. Around the corner, however, is a new and more beautiful mathematics, a more honest mathematics, in which everything... | |
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mattbaker.blog
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| | | In honor of Pi Day 2023, I'd like to discuss Hilbert's 7th Problem, which in an oversimplified (and rather vague) form asks: under what circumstances can a transcendental function take algebraic values at algebraic points? The connection with $latex \pi$ is that Lindemann proved in 1882 that the transcendental function $latex f(z) = e^z$ takes... | ||
