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carcinisation.com
| | 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 ...
| | 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 [...]
| | www.logicmatters.net
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| | I didn't at all intend to return to my Introduction to Gödel's Theorems (which I've not really read for a dozen years, apart from correcting a small handful of typos in the PDF). But I had occasion to look something up, and - hey, ho! - I've found myself over the last week beginning to [...]
| | blog.computationalcomplexity.org
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| There are two computer science departments on the University of Chicago campus. The one I belong to, a department in the physical sciences...