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billwadge.com | ||
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neilmadden.blog
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| | | | | I saw another article on Gödel's incompleteness theorems linked from Reddit today. It's a topic I've wanted to write about for some time. Although many articles do a decent job in giving an idea of what the big deal is (and this one is pretty good), they can sometimes give a misleading impression of what... | |
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nickdrozd.github.io
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| | | | | Goedel's first incompleteness theorem is the claim that any sound, consistent formal system of sufficient power is incomplete; that is, there are statements in the language of the system that can neither be proved nor disproved. Traditionally the theorem is proved by exhbiting a statement g which is provably equivalent to a statement encoding its own disprovability in the system S. | |
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jdh.hamkins.org
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| | | | | Philosophy of Mathematics, Exam Paper 122, Oxford University Wednesdays 12-1 during term, Radcliffe Humanities Lecture Room Joel David Hamkins, Professor of Logic Lucy, Charles - Personifications o... | |
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mathscholar.org
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| | | [AI summary] An article discusses the evolution of mathematics from a discipline that resisted computational tools to one that increasingly relies on computer-assisted proofs, data mining, and artificial intelligence, featuring perspectives from mathematician Terence Tao on the future of the field. | ||
