Combining Philosophers
Ideas for Eurytus, Gilbert Harman and James Robert Brown
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9 ideas
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / a. For mathematical platonism
9606
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The irrationality of root-2 was achieved by intellect, not experience [Brown,JR]
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6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / c. Against mathematical empiricism
9610
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Numbers are not abstracted from particulars, because each number is a particular [Brown,JR]
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9612
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There is an infinity of mathematical objects, so they can't be physical [Brown,JR]
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6. Mathematics / C. Sources of Mathematics / 5. Numbers as Adjectival
9620
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Empiricists base numbers on objects, Platonists base them on properties [Brown,JR]
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6. Mathematics / C. Sources of Mathematics / 7. Formalism
9629
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For nomalists there are no numbers, only numerals [Brown,JR]
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9630
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The most brilliant formalist was Hilbert [Brown,JR]
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9639
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Does some mathematics depend entirely on notation? [Brown,JR]
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6. Mathematics / C. Sources of Mathematics / 10. Constructivism / a. Constructivism
9608
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There are no constructions for many highly desirable results in mathematics [Brown,JR]
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9645
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Constructivists say p has no value, if the value depends on Goldbach's Conjecture [Brown,JR]
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