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Ideas for 'Parmenides', 'works' and 'Objections to 'Meditations' (Fifth)'

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3 ideas

6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / a. For mathematical platonism
One is, so numbers exist, so endless numbers exist, and each one must partake of being [Plato]
6. Mathematics / C. Sources of Mathematics / 10. Constructivism / b. Intuitionism
For Quine, intuitionist ontology is inadequate for classical mathematics [Quine, by Orenstein]
Intuitionists only admit numbers properly constructed, but classical maths covers all reals in a 'limit' [Quine, by Orenstein]