Combining Texts

All the ideas for 'works', 'On the Foundations of Logic and Arithmetic' and 'Paradoxes: Form and Predication'

expand these ideas     |    start again     |     specify just one area for these texts

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4 ideas

5. Theory of Logic / D. Assumptions for Logic / 3. Contradiction

10121

Contradiction is not a sign of falsity, nor lack of contradiction a sign of truth [Pascal]

5. Theory of Logic / G. Quantification / 6. Plural Quantification

14235

Saying 'they can become a set' is a tautology, because reference to 'they' implies a collection [Cargile]

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]