Combining Texts

All the ideas for 'Mathematics without Numbers', '26: Oracles in Decline' and 'Principles of Theoretical Logic'

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5 ideas

4. Formal Logic / C. Predicate Calculus PC / 1. Predicate Calculus PC

17750

The first clear proof of the consistency of the first order predicate logic was in 1928 [Hilbert/Ackermann, by Walicki]

6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / c. Nominalist structuralism

8698	Modal structuralism says mathematics studies possible structures, which may or may not be actualised [Hellman, by Friend]

9557	Statements of pure mathematics are elliptical for a sort of modal conditional [Hellman, by Chihara]

10263

Modal structuralism can only judge possibility by 'possible' models [Shapiro on Hellman]

11. Knowledge Aims / C. Knowing Reality / 3. Idealism / a. Idealism

5958	The sun is always bright; it doesn't become bright when it emerges [Plutarch]