Combining Texts

All the ideas for 'fragments/reports', 'Continuity and Irrational Numbers' and 'What Does It All Mean?'

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6 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]

19. Language / A. Nature of Meaning / 6. Meaning as Use

4001	The meaning of a word contains all its possible uses as well as its actual ones [Nagel]

23. Ethics / A. Egoism / 1. Ethical Egoism

3031	The greatest good is not the achievement of desire, but to desire what is proper [Menedemus, by Diog. Laertius]