Combining Texts

All the ideas for 'Reason, Emotions and Good Life', 'Freedom and Reason' 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]
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]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / i. Prescriptivism
22331 Moral statements are imperatives rather than the avowals of emotion - but universalisable [Hare, by Glock]
22484 Universalised prescriptivism could be seen as implying utilitarianism [Hare, by Foot]
23. Ethics / D. Deontological Ethics / 4. Categorical Imperative
6449 The categorical imperative leads to utilitarianism [Hare, by Nagel]