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4 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 / B. Foundations for Mathematics / 4. Axioms for Number / a. Axioms for numbers
17715
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The truth of the axioms doesn't matter for pure mathematics, but it does for applied [Mares]
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6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / a. Mathematical empiricism
17716
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Mathematics is relations between properties we abstract from experience [Mares]
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6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / b. Indispensability of mathematics
9556
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Nearly all of mathematics has to quantify over abstract objects [Quine]
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