Combining Texts

All the ideas for 'Truth', 'On the Foundations of Logic and Arithmetic' and 'On the Source of Necessity'

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9 ideas

3. Truth / F. Semantic Truth / 1. Tarski's Truth / a. Tarski's truth definition
Truth rests on Elimination ('A' is true → A) and Introduction (A → 'A' is true) [Gupta]
3. Truth / F. Semantic Truth / 2. Semantic Truth
A weakened classical language can contain its own truth predicate [Gupta]
4. Formal Logic / D. Modal Logic ML / 3. Modal Logic Systems / g. System S4
S4 says there must be some necessary truths (the actual ones, of which there is at least one) [Cameron]
5. Theory of Logic / L. Paradox / 6. Paradoxes in Language / a. The Liar paradox
The Liar reappears, even if one insists on propositions instead of sentences [Gupta]
Strengthened Liar: either this sentence is neither-true-nor-false, or it is not true [Gupta]
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / c. Against mathematical empiricism
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
Logic already contains some arithmetic, so the two must be developed together [Hilbert]
10. Modality / C. Sources of Modality / 1. Sources of Necessity
Blackburn fails to show that the necessary cannot be grounded in the contingent [Cameron]
27. Natural Reality / D. Time / 1. Nature of Time / f. Eternalism
The 'moving spotlight' theory makes one time privileged, while all times are on a par ontologically [Cameron]