Combining Philosophers

Ideas for Luitzen E.J. Brouwer, Michael Potter and Johann Winckelmann

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5 ideas

6. Mathematics / A. Nature of Mathematics / 1. Mathematics

18119

Mathematics is a mental activity which does not use language [Brouwer, by Bostock]

6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / h. Reals from Cauchy

18247

Brouwer saw reals as potential, not actual, and produced by a rule, or a choice [Brouwer, by Shapiro]

6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / c. Counting procedure

10712

If set theory didn't found mathematics, it is still needed to count infinite sets [Potter]

6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / g. Applying mathematics

12451

Scientific laws largely rest on the results of counting and measuring [Brouwer]

18118

Brouwer regards the application of mathematics to the world as somehow 'wicked' [Brouwer, by Bostock]