Combining Texts

All the ideas for 'The Evolution of Modern Metaphysics', 'The Theory of Transfinite Numbers' and 'Our Knowledge of Mathematical Objects'

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7 ideas

1. Philosophy / E. Nature of Metaphysics / 1. Nature of Metaphysics

21959

Metaphysics is the most general attempt to make sense of things [Moore,AW]

4. Formal Logic / F. Set Theory ST / 1. Set Theory

9616	A set is a collection into a whole of distinct objects of our intuition or thought [Cantor]

6. Mathematics / A. Nature of Mathematics / 5. The Infinite / f. Uncountable infinities

15896

Cantor needed Power Set for the reals, but then couldn't count the new collections [Cantor, by Lavine]

6. Mathematics / C. Sources of Mathematics / 6. Logicism / c. Neo-logicism

9224	Proceduralism offers a version of logicism with no axioms, or objects, or ontological commitment [Fine,K]

6. Mathematics / C. Sources of Mathematics / 10. Constructivism / a. Constructivism

9222	The objects and truths of mathematics are imperative procedures for their construction [Fine,K]

9223	My Proceduralism has one simple rule, and four complex rules [Fine,K]

11. Knowledge Aims / C. Knowing Reality / 3. Idealism / b. Transcendental idealism

21958

Appearances are nothing beyond representations, which is transcendental ideality [Moore,AW]