Combining Texts

All the ideas for 'works', 'The Making of a Philosopher' and 'Continuity and Irrational Numbers'

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7 ideas

5. Theory of Logic / G. Quantification / 2. Domain of Quantification
17743 De Morgan introduced a 'universe of discourse', to replace Boole's universe of 'all things' [De Morgan, by Walicki]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / g. Real numbers
17611 We want the essence of continuity, by showing its origin in arithmetic [Dedekind]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / i. Reals from cuts
10572 A cut between rational numbers creates and defines an irrational number [Dedekind]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / f. Arithmetic
17612 Arithmetic is just the consequence of counting, which is the successor operation [Dedekind]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / l. Limits
18087 If x changes by less and less, it must approach a limit [Dedekind]
15. Nature of Minds / B. Features of Minds / 2. Unconscious Mind
4691 If all mental life were conscious, we would be unable to see things, or to process speech [McGinn]
19. Language / A. Nature of Meaning / 3. Meaning as Speaker's Intention
4690 If meaning is speaker's intentions, it can be reduced to propositional attitudes, and philosophy of mind [McGinn]