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'Explaining the A Priori', 'A Priori' and 'Vagaries of Definition'
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6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / a. Axioms for numbers
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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 / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
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All the arithmetical entities can be reduced to classes of integers, and hence to sets [Quine]
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6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / a. Mathematical empiricism
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Mathematics is relations between properties we abstract from experience [Mares]
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