Combining Texts

Ideas for 'Parmenides', 'Vagaries of Definition' and 'The Foundations of Mathematics'

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4 ideas

6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory

8203	All the arithmetical entities can be reduced to classes of integers, and hence to sets [Quine]

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

13426

Formalists neglect content, but the logicists have focused on generalizations, and neglected form [Ramsey]

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

13425

Formalism is hopeless, because it focuses on propositions and ignores concepts [Ramsey]