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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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