Combining Texts

All the ideas for 'On Providence', 'Demonstratives' and 'works'

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11 ideas

2. Reason / A. Nature of Reason / 1. On Reason
17892 For clear questions posed by reason, reason can also find clear answers [Gödel]
5. Theory of Logic / A. Overview of Logic / 7. Second-Order Logic
9188 Gödel proved that first-order logic is complete, and second-order logic incomplete [Gödel, by Dummett]
5. Theory of Logic / I. Semantics of Logic / 2. Formal Truth
10620 Originally truth was viewed with total suspicion, and only demonstrability was accepted [Gödel]
5. Theory of Logic / K. Features of Logics / 5. Incompleteness
17883 Gödel's Theorems did not refute the claim that all good mathematical questions have answers [Gödel, by Koellner]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / g. Incompleteness of Arithmetic
17885 Gödel eventually hoped for a generalised completeness theorem leaving nothing undecidable [Gödel, by Koellner]
10614 The real reason for Incompleteness in arithmetic is inability to define truth in a language [Gödel]
19. Language / C. Assigning Meanings / 10. Two-Dimensional Semantics
14894 Indexicals have a 'character' (the standing meaning), and a 'content' (truth-conditions for one context) [Kaplan, by Maciŕ/Garcia-Carpentiro]
14700 'Content' gives the standard modal profile, and 'character' gives rules for a context [Kaplan, by Schroeter]
22. Metaethics / C. The Good / 2. Happiness / a. Nature of happiness
13550 To be always happy is to lack knowledge of one half of nature [Seneca]
23. Ethics / C. Virtue Theory / 4. External Goods / a. External goods
13549 Nothing bad can happen to a good man [Seneca]
27. Natural Reality / A. Classical Physics / 1. Mechanics / c. Forces
13548 The ocean changes in volume in proportion to the attraction of the moon [Seneca]