Combining Texts

All the ideas for 'Cosmic Apprentice', 'Structuralism Reconsidered' and 'Consciousness, Philosophy and Mathematics'

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4 ideas

1. Philosophy / G. Scientific Philosophy / 3. Scientism
Scientists know everything about nothing, philosophers nothing about everything [Sagan,D]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / d. Natural numbers
Numbers are identified by their main properties and relations, involving the successor function [MacBride]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / e. Structuralism critique
For mathematical objects to be positions, positions themselves must exist first [MacBride]
6. Mathematics / C. Sources of Mathematics / 10. Constructivism / b. Intuitionism
Intuitionist mathematics deduces by introspective construction, and rejects unknown truths [Brouwer]