Samir’s Selection 02/18/2014 (p.m.)

  • Mathematical knowledge is unlike any other knowledge. Its truths are objective, necessary and timeless. What kinds of things are mathematical entities and theorems, that they are knowable in this way? Do they exist somewhere, a set of immaterial objects in the enchanted gardens of the Platonic world, waiting to be discovered? Or are they mere creations of the human mind?…Kurt Gödel argued that mathematical concepts and ideas “form an objective reality of their own, which we cannot create or change, but only perceive and describe.” But if this is true, how do humans manage to access this hidden reality?

    tags: mathematics metamathematics philosophy reality truth Plato Gödel simulation NickBostrom

Posted from Diigo. The rest of my favorite links are here.

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