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'Parmenides', 'Sources of Knowledge of Mathematics' and 'Introduction to the Theory of Logic'
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3 ideas
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / f. Mathematical induction
10891
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If a set is defined by induction, then proof by induction can be applied to it [Zalabardo]
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6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / a. For mathematical platonism
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One is, so numbers exist, so endless numbers exist, and each one must partake of being [Plato]
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6. Mathematics / C. Sources of Mathematics / 6. Logicism / d. Logicism critique
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Late in life Frege abandoned logicism, and saw the source of arithmetic as geometrical [Frege, by Chihara]
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