Combining Philosophers
Ideas for Luitzen E.J. Brouwer, Leon Horsten and Roy Ellen
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5 ideas
6. Mathematics / A. Nature of Mathematics / 1. Mathematics
18119
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Mathematics is a mental activity which does not use language [Brouwer, by Bostock]
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6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / g. Real numbers
15364
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English expressions are denumerably infinite, but reals are nondenumerable, so many are unnameable [Horsten]
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6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / h. Reals from Cauchy
18247
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Brouwer saw reals as potential, not actual, and produced by a rule, or a choice [Brouwer, by Shapiro]
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6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / g. Applying mathematics
12451
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Scientific laws largely rest on the results of counting and measuring [Brouwer]
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18118
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Brouwer regards the application of mathematics to the world as somehow 'wicked' [Brouwer, by Bostock]
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