Combining Texts

All the ideas for 'Reason, Emotions and Good Life', 'Continuity and Irrational Numbers' and 'Letters to Fichte'

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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]
20. Action / C. Motives for Action / 3. Acting on Reason / a. Practical reason
4316 Either all action is rational, or reason dominates, or reason is only concerned with means [Cottingham]
23. Ethics / C. Virtue Theory / 3. Virtues / g. Contemplation
7071 Life and rationality are pointless if we can only contemplate the freedom of our own ego [Jacobi]
23. Ethics / F. Existentialism / 2. Nihilism
7072 Jacobi was the first philosopher to talk of nihilism [Jacobi, by Critchley]