Combining Philosophers
Ideas for Luitzen E.J. Brouwer, Henry Laycock and Hilary Kornblith
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6 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 / 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 / c. Counting procedure
17694
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Some non-count nouns can be used for counting, as in 'several wines' or 'fewer cheeses' [Laycock]
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17695
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Some apparent non-count words can take plural forms, such as 'snows' or 'waters' [Laycock]
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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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