Combining Texts

All the ideas for 'Mahaprajnaparamitashastra', 'First-Order Logic' and 'Inexpressible Properties and Propositions'

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13 ideas

3. Truth / H. Deflationary Truth / 3. Minimalist Truth
17990 Instances of minimal truth miss out propositions inexpressible in current English [Hofweber]
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 / G. Quantification / 4. Substitutional Quantification
17988 Quantification can't all be substitutional; some reference is obviously to objects [Hofweber]
5. Theory of Logic / I. Semantics of Logic / 1. Semantics of Logic
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]
10283 A formula needs an 'interpretation' of its constants, and a 'valuation' of its variables [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]
8. Modes of Existence / B. Properties / 1. Nature of Properties
17989 Since properties have properties, there can be a typed or a type-free theory of them [Hofweber]
19. Language / F. Communication / 6. Interpreting Language / a. Translation
17991 Holism says language can't be translated; the expressibility hypothesis says everything can [Hofweber]
23. Ethics / C. Virtue Theory / 3. Virtues / a. Virtues
7903 The six perfections are giving, morality, patience, vigour, meditation, and wisdom [Nagarjuna]