Combining Texts

All the ideas for 'Ethical Studies', 'Continuity and Irrational Numbers' and 'Letters to Leibniz 1'

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6 ideas

6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / g. Real numbers
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
A cut between rational numbers creates and defines an irrational number [Dedekind]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / f. Arithmetic
Arithmetic is just the consequence of counting, which is the successor operation [Dedekind]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / l. Limits
If x changes by less and less, it must approach a limit [Dedekind]
22. Metaethics / C. The Good / 2. Happiness / d. Routes to happiness
Happiness is not satisfaction of desires, but fulfilment of values [Bradley, by Scruton]
26. Natural Theory / D. Laws of Nature / 8. Scientific Essentialism / c. Essence and laws
I won't object if someone shows that gravity consistently arises from the action of matter [Newton]