Combining Texts

All the ideas for 'The Source of Necessity', 'Preface to Universal Characteristic' and 'On the Nature of Mathematical Reasoning'

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7 ideas

1. Philosophy / D. Nature of Philosophy / 2. Invocation to Philosophy

2118	All other human gifts can harm us, but not correct reasoning [Leibniz]

6. Mathematics / A. Nature of Mathematics / 5. The Infinite / d. Actual infinite

15923

Poincaré rejected the actual infinite, claiming definitions gave apparent infinity to finite objects [Poincaré, by Lavine]

10. Modality / C. Sources of Modality / 1. Sources of Necessity

12432

Explanation of necessity must rest on something necessary or something contingent [Hale]

12434

Why is this necessary, and what is necessity in general; why is this necessary truth true, and why necessary? [Hale]

12435

The explanation of a necessity can be by a truth (which may only happen to be a necessary truth) [Hale]

10. Modality / C. Sources of Modality / 3. Necessity by Convention

12433

If necessity rests on linguistic conventions, those are contingent, so there is no necessity [Hale]

10. Modality / C. Sources of Modality / 4. Necessity from Concepts

12436

Concept-identities explain how we know necessities, not why they are necessary [Hale]