How Talagrand Redefined Probability

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6:57 for anyone curious it's just √n - 1 so when n=3 you get root 3 minus 1

yanntal
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Useless papers are precious and crucial and anyone less than a genius might have difficulty comprehending why. I'll try to explain anyways. In math class, you're told to show your work. You have to because the rationale for arriving at conclusion is quite nearly as important as the solution itself. So then in order to find proofs of contradiction and whatnot, you're going to have to "waste" some papers, by doing stuff which either "isn't allowed" or "is wittingly and intentionally incorrect, " -just to "see what happens." So as yourself, are you going to publish all your scratch papers, even if they're totally useless? Those pages may even be useless to yourself, except in the sense they sense as waypoints to reminisce on your own thought processes which produced not only those pages, but the actually useful and published papers which resulted from those thought processes. They could be as redundantly redundant as this comment. It could be the equivelant of remembering his to ride a bike by looking at a bike and remembering that time you crashed and imaginatively replaying the scenario in a way that won't crash. The non crashing runs would be the papers that get published. The papers that crash stay on the shelf at home, because nobody is likely to make sense of them in the way with which they were produced. Food for thought!

jeffborders
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Please stay on topic or at least retitle the video. I don't think it was necessary to speak so much about the author's life (not directly related to his mathematical discovery at hand as hinted by the title) or how normal calculus works (with the riemann measure which people are already likely acquainted with). I would've preferred understanding _how_ measure theory was used to overcome higher dimensional issues rather than one example of such an issue, because without that the video fails in convincing me the author did the herculean task of reimagining the whole branch of probability. Regardless there was very nice animations and I look forward to more.

typo
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good video, you have earned yourself another subscriber 💪

jedediahjehoshaphat
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I wonder how will this impact Machine Learning and AI

bahibrahim
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the very scripted "student" interjecting every 3rd sentence for "clarification"(dropping more terminology in just as complex sentences) is just shit writing

monkyyy