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'Substance and Individuation in Leibniz', 'Model Theory' and 'Word and Object'
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3 ideas
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / e. Ordinal numbers
17905
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Any progression will do nicely for numbers; they can all then be used to measure multiplicity [Quine]
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6. Mathematics / A. Nature of Mathematics / 5. The Infinite / i. Cardinal infinity
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First-order logic can't discriminate between one infinite cardinal and another [Hodges,W]
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6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / b. Indispensability of mathematics
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Nearly all of mathematics has to quantify over abstract objects [Quine]
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