Combining Texts

All the ideas for 'On the Foundations of Logic and Arithmetic', 'Universal Arithmetick' and 'Philosophy as a way of life'

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6 ideas

1. Philosophy / D. Nature of Philosophy / 6. Hopes for Philosophy
9198 It is no longer possible to be a sage, but we can practice the exercise of wisdom [Hadot]
2. Reason / A. Nature of Reason / 2. Logos
9197 The logos represents a demand for universal rationality [Hadot]
6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / b. Greek arithmetic
17783 A number is not a multitude, but a unified ratio between quantities [Newton]
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / c. Against mathematical empiricism
17697 The existence of an arbitrarily large number refutes the idea that numbers come from experience [Hilbert]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / d. Logicism critique
17698 Logic already contains some arithmetic, so the two must be developed together [Hilbert]
22. Metaethics / C. The Good / 3. Pleasure / b. Types of pleasure
9196 The pleasure of existing is the only genuine pleasure [Hadot]