Combining Texts

All the ideas for 'fragments/reports', 'Manuscript remains' and 'Continuity and Irrational Numbers'

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8 ideas

1. Philosophy / D. Nature of Philosophy / 1. Philosophy
21916 Philosophers can't be religious, and don't need to be; philosophy is perilous but free [Schopenhauer]
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]
20. Action / B. Preliminaries of Action / 2. Willed Action / a. Will to Act
21924 As the subject of willing I am wretched, but absorption in knowledge is bliss [Schopenhauer]
21. Aesthetics / C. Artistic Issues / 7. Art and Morality
468 Musical performance can reveal a range of virtues [Damon of Ath.]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / b. Rational ethics
21915 To deduce morality from reason is blasphemy, because it is holy, and far above reason [Schopenhauer]