Combining Texts

Ideas for 'Parmenides', 'On Eternal and Immutable Morality' and 'On What There Is'

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5 ideas

6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / a. For mathematical platonism

16150

One is, so numbers exist, so endless numbers exist, and each one must partake of being [Plato]

6. Mathematics / C. Sources of Mathematics / 6. Logicism / d. Logicism critique

1613	Logicists cheerfully accept reference to bound variables and all sorts of abstract entities [Quine]

6. Mathematics / C. Sources of Mathematics / 7. Formalism

1616	Formalism says maths is built of meaningless notations; these build into rules which have meaning [Quine]

6. Mathematics / C. Sources of Mathematics / 10. Constructivism / b. Intuitionism

1615	Intuitionism says classes are invented, and abstract entities are constructed from specified ingredients [Quine]

6. Mathematics / C. Sources of Mathematics / 10. Constructivism / c. Conceptualism

1614	Conceptualism holds that there are universals but they are mind-made [Quine]