Combining Texts

All the ideas for 'The Theory of Transfinite Numbers', 'Of Human Freedom' and 'Structuralism Reconsidered'

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7 ideas

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 / 3. Nature of Numbers / d. Natural numbers
8923 Numbers are identified by their main properties and relations, involving the successor function [MacBride]
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 / B. Foundations for Mathematics / 7. Mathematical Structuralism / e. Structuralism critique
8926 For mathematical objects to be positions, positions themselves must exist first [MacBride]
7. Existence / A. Nature of Existence / 3. Being / c. Becoming
22076 Being is only perceptible to itself as becoming [Schelling]
11. Knowledge Aims / C. Knowing Reality / 3. Idealism / d. Absolute idealism
22074 We must show that the whole of nature, because it is effective, is grounded in freedom [Schelling]
16. Persons / F. Free Will / 2. Sources of Free Will
22075 Only idealism has given us the genuine concept of freedom [Schelling]