Combining Texts

All the ideas for 'works', 'Continuity and Irrational Numbers' and 'De Cive'

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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]

22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / e. Human nature

22086

The most important aspect of a human being is not reason, but passion [Kierkegaard, by Carlisle]

25. Social Practice / E. Policies / 1. War / c. Combatants

23609

I act justly if I follow my Prince in an apparently unjust war, and refusing to fight would be injustice [Hobbes]