Thursday, June 23, 2005

Languages and Forms

Apparently Godel thought of mathematics as Platonic, as having existence independent of people, possibly because he was influenced as a boy by reading Plato. To me this is a strange idea. Mathematics is a language just like, though rather more precise than, our spoken languages. We can speak of heat, which we feel, and we can use mathematics to model the relationship between temperature and various energy and mass transformations. Take away the 'us' and there is no language and no mathematics, just the enduring realities of the material.

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