Combining Philosophers
Ideas for David O. Brink, Werner Heisenberg and Hilary Putnam
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7 ideas
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / b. Against mathematical platonism
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How can you contemplate Platonic entities without causal transactions with them? [Putnam]
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6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / a. Mathematical empiricism
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Maybe mathematics is empirical in that we could try to change it [Putnam]
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It is unfashionable, but most mathematical intuitions come from nature [Putnam]
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6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / b. Indispensability of mathematics
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If it can't be expressed mathematically, it can't occur in nature? [Heisenberg]
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Science requires more than consistency of mathematics [Putnam]
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Indispensability strongly supports predicative sets, and somewhat supports impredicative sets [Putnam]
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We must quantify over numbers for science; but that commits us to their existence [Putnam]
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