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'Function and Concept', 'Identity' and 'Review of Bob Hale's 'Abstract Objects''
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3 ideas
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / c. Counting procedure
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It is controversial whether only 'numerical identity' allows two things to be counted as one [Noonan]
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6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / a. For mathematical platonism
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Platonism claims that some true assertions have singular terms denoting abstractions, so abstractions exist [Williamson]
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6. Mathematics / C. Sources of Mathematics / 6. Logicism / a. Early logicism
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Arithmetic is a development of logic, so arithmetical symbolism must expand into logical symbolism [Frege]
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