Combining Texts

All the ideas for 'Knowledge and its Limits', 'Some Models for Implicature' and 'First-Order Logic'

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14 ideas

5. Theory of Logic / A. Overview of Logic / 1. Overview of Logic
10282 Logic is the study of sound argument, or of certain artificial languages (or applying the latter to the former) [Hodges,W]
5. Theory of Logic / I. Semantics of Logic / 1. Semantics of Logic
10283 A formula needs an 'interpretation' of its constants, and a 'valuation' of its variables [Hodges,W]
10284 There are three different standard presentations of semantics [Hodges,W]
10285 I |= φ means that the formula φ is true in the interpretation I [Hodges,W]
5. Theory of Logic / J. Model Theory in Logic / 3. Löwenheim-Skolem Theorems
10289 Up Löwenheim-Skolem: if infinite models, then arbitrarily large models [Hodges,W]
10288 Down Löwenheim-Skolem: if a countable language has a consistent theory, that has a countable model [Hodges,W]
5. Theory of Logic / K. Features of Logics / 6. Compactness
10287 If a first-order theory entails a sentence, there is a finite subset of the theory which entails it [Hodges,W]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
10286 A 'set' is a mathematically well-behaved class [Hodges,W]
11. Knowledge Aims / A. Knowledge / 4. Belief / c. Aim of beliefs
4760 Belief aims at knowledge (rather than truth), and mere believing is a kind of botched knowing [Williamson]
11. Knowledge Aims / A. Knowledge / 7. Knowledge First
19512 Don't analyse knowledge; use knowledge to analyse other concepts in epistemology [Williamson, by DeRose]
19. Language / A. Nature of Meaning / 6. Meaning as Use
22330 Grice said patterns of use are often semantically irrelevant, because it is a pragmatic matter [Grice, by Glock]
19. Language / F. Communication / 5. Pragmatics / b. Implicature
18045 Grice's maxim of quality says do not assert what you believe to be false [Grice, by Magidor]
18044 Grice's maxim of manner requires one to be as brief as possible [Grice, by Magidor]
18046 Grice's maxim of quantity says be sufficiently informative [Grice, by Magidor]