Combining Philosophers

Ideas for Eubulides, David S. Oderberg and Harold Hodes

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3 ideas

6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / a. Numbers

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Mathematics is higher-order modal logic [Hodes]

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The Aristotelian view is that numbers depend on (and are abstracted from) other things [Oderberg]

6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / f. Arithmetic

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Arithmetic must allow for the possibility of only a finite total of objects [Hodes]