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| | aeon.co
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| | Some have thought that logic will one day be completed and all its problems solved. Now we know it is an endless task
| | www.logicmatters.net
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| | Logical notes and papers Some logical blog pieces Philosophy of maths: a reading list Does mathematics need a philosophy? Philosophical logic: five books from the back catalogue On Frege seeing what is in front of his nose. Begriffsschrift and absolutely unrestricted quantification What Frege didnt tell you Tarski on Truth, a thumbnail sketch Partial functions []
| | xorshammer.com
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| | There are a number of applications of logic to ordinary mathematics, with the most coming from (I believe) model theory. One of the easiest and most striking that I know is called Ax's Theorem. Ax's Theorem: For all polynomial functions $latex f\colon \mathbb{C}^n\to \mathbb{C}^n$, if $latex f$ is injective, then $latex f$ is surjective. Very...
| | micromath.wordpress.com
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| Continuing the theme of alternative approaches to teaching calculus, I take the liberty of posting a letter sent by Donald Knuth to to the Notices of the American Mathematical Society in March, 1998 (TeX file). Professor Anthony W. Knapp P O Box 333 East Setauket, NY 11733 Dear editor, I am pleased to see so...