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www.lesswrong.com | ||
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math.andrej.com
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| | | | | [AI summary] The discussion revolves around the nuances of proof methods in constructive mathematics, particularly the distinction between proof by contradiction and proof by negation. Key points include the definition of irrational numbers without relying on the law of excluded middle, the use of contrapositive in proofs, and the limitations of certain classical theorems like the intermediate value theorem in constructive settings. The conversation also touches on the philosophical and practical implications of these proof methods in both classical and intuitionistic logic, as well as the role of type theory and univalent foundations in modern mathematical proofs. | |
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gowers.wordpress.com
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| | | | | It's been a while since I have written a post in the "somewhat philosophical" category, which is where I put questions like "How can one statement be stronger than an another, equivalent, statement?" This post is about a question that I've intended for a long time to sort out in my mind but have found... | |
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terrytao.wordpress.com
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| | | | | Almost three weeks ago, I proposed a collaborative project, combining the efforts of professional and amateur mathematicians, automatic theorem provers, AI tools, and the proof assistant language L... | |
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techsavvypriya.wordpress.com
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| | | 1 post published by Priya Pareek on June 26, 2020 | ||
