Combining Texts

All the ideas for 'fragments/reports', 'Continuity and Irrational Numbers' and 'Emile: treatise on education'

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7 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]
21. Aesthetics / C. Artistic Issues / 7. Art and Morality
468 Musical performance can reveal a range of virtues [Damon of Ath.]
23. Ethics / F. Existentialism / 6. Authentic Self
20759 Feelings are prior to intelligence; we should be content to live with our simplest feelings [Rousseau]
24. Political Theory / B. Nature of a State / 4. Citizenship
19854 We all owe labour in return for our keep, and every idle citizen is a thief [Rousseau]