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jdh.hamkins.org | ||
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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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dvt.name
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| | | | | Gödel's incompleteness theorems have been hailed as "the greatest mathematical discoveries of the 20th century" - indeed, the theorems apply not only to mathematics, but all formal systems and have deep implications for science, logic, computer science, philosophy, and so on. In this post, I'll give a simple but rigorous sketch of Gödel's First Incompleteness ... | |
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www.logicmatters.net
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| | | | | A standard menu for a first mathematical logic course might be something like this: (1) A treatment of the syntax and semantics of FOL, presenting a proof system or two, leading up to a proof of a Gödel's completeness theorem (and then a glance at e.g. the compactness theorem and some initial implications). (2) An [...] | |
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relatedwork.blogspot.com
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| | | WARNING: the following contains a whole lot of pedantry about proving theorems at a level of detail such that you could likely convince a co... | ||
