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'Parmenides', 'What Numbers Are' and 'On Second-Order Logic'
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3 ideas
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / c. Counting procedure
17812
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Finite cardinalities don't need numbers as objects; numerical quantifiers will do [White,NP]
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6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / e. Peano arithmetic 2nd-order
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Many concepts can only be expressed by second-order logic [Boolos]
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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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