Combining Texts

All the ideas for 'On the Natural Faculties', 'talk' and 'Continuity and Irrational Numbers'

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8 ideas

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]
8. Modes of Existence / D. Universals / 6. Platonic Forms / b. Partaking
6900 A prior understanding of beauty is needed to assert that the Form of the Beautiful is beautiful [Westaway]
9. Objects / C. Structure of Objects / 8. Parts of Objects / c. Wholes from parts
6956 At what point does an object become 'whole'? [Westaway]
15. Nature of Minds / C. Capacities of Minds / 1. Faculties
21799 We just use the word 'faculty' when we don't know the psychological cause [Galen]
17. Mind and Body / C. Functionalism / 7. Chinese Room
7335 The Chinese Room should be able to ask itself questions in Mandarin [Westaway]