Combining Texts
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'Parmenides', 'Logicism Revisited' and 'The Possibility of Metaphysics'
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6 ideas
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / a. For mathematical platonism
16150
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One is, so numbers exist, so endless numbers exist, and each one must partake of being [Plato]
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Sets are instances of numbers (rather than 'collections'); numbers explain sets, not vice versa [Lowe]
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8311
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If 2 is a particular, then adding particulars to themselves does nothing, and 2+2=2 [Lowe]
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6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / b. Against mathematical platonism
8310
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Does the existence of numbers matter, in the way space, time and persons do? [Lowe]
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6. Mathematics / C. Sources of Mathematics / 7. Formalism
10062
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Formalism seems to exclude all creative, growing mathematics [Musgrave]
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10063
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Formalism is a bulwark of logical positivism [Musgrave]
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