Tuesday, 15 July 2014
Raymond L. Wilder on the Foundations of Mathematics
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From the outside, the early 20th century obsession with the foundations of mathematics may seem strange. It may seem even stranger if we...
Gödel's Incompleteness Theorem & Leibniz’s Dream
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Albert Einstein and Kurt Godel The mathematician and educator, Morris Kline , once made a rather grand claim about Kurt Gödel ’s Inco...
Sunday, 13 July 2014
Russell's Principia: Paradox, Axiom Systems & Set Theory
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Russell's Paradox Bertrand Russell’s paradox wasn't taken as some little pleasurable game or puzzle. It "forced logician...
Saturday, 12 July 2014
E.O. Wilson against Analytic Philosophers
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Some philosophers think that some scientists have a naïve and simplistic view of reduction - and indeed of much else - in science. Espe...
Friday, 11 July 2014
The Necessary Nature of Numbers
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We can say a world in which there are no animals is also a world in which there is no horses. That appears to be a necessary truth in tha...
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