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neilmadden.blog | ||
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www.logicmatters.net
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| | | | | As I said some weeks ago, I am slowly revising my Introduction to Gödel's Theorems; I am still only about a third of the way through. I haven't yet spotted any real horrors, but I've found some ways of re-arranging the material for the better, and there are quite a few sections which now strike [...] | |
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billwadge.com
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| | | | | The famous mathematician Kurt Gödel proved two "incompleteness" theorems. This is their story. By the 1930s logicians, especially Tarski, had figured out the semantics of predicate logic. Tarski described what exactly was an 'interpretation' and what it meant for a formula to be true in an interpretation. Briefly, an interpretation is a nonempty set (the... | |
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jdh.hamkins.org
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| | | | | This will be a series of self-contained lectures on the philosophy of mathematics, given at Oxford University in Michaelmas term 2019. We will be meeting in the Radcliffe Humanities Lecture Room at | |
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inquiryintoinquiry.com
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| | | Introduction The praeclarum theorema, or splendid theorem, is a theorem of propositional calculus noted and named by G.W.Leibniz, who stated and proved it in the following manner. If a is b and d is c, then ad will be bc. This is a fine theorem, which is proved in this way: a is b, therefore... | ||
