Combining Philosophers
Ideas for Gorgias, Peter Klein and Edwin D. Mares
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3 ideas
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
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Mathematics is relations between properties we abstract from experience [Mares]
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6. Mathematics / C. Sources of Mathematics / 10. Constructivism / b. Intuitionism
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For intuitionists there are not numbers and sets, but processes of counting and collecting [Mares]
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