Monday, August 13, 2007

Punishing the Pride of Kantians and Mathematicians

I've been reading a very fascinating text by Morris Kline, the late Professor Emeritus of Mathematics at NYU's Courant Institute of Mathematics called Mathematics: The Loss of Certainty. It essentially outlines the history of mathematical epistemology and the many crises that have splintered mathematics to the "mess" it is today (according to Kline, at least).

Here is an excerpt that I found exceptionally entertaining regarding the development of non-Euclidean geometry.

Indifference to and even dismissal of God as the law-maker of the universe, as well as the Kantian view that the laws were inherent in the structure of the human mind, brought forth a reaction from the Divine Architect. God decided that He would punish the Kantians and especially those egotistic, proud, and overconfident mathematicians. And He proceeded to encourage non-Eucleidian geometry, a creation that devastated the achievemens of man's presumably self-sufficient, all-powerful reason.

-Morris Kline, Mathematics: The Loss of Certainty, pp 77-78

Poor Kant; he's been receiving so much abuse by the authors I mention...

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