Combining Texts

All the ideas for 'Unconscious Cerebral Initiative', 'First-Order Logic' and 'Theories of Truth: a Critical Introduction'

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

17 ideas

3. Truth / A. Truth Problems / 5. Truth Bearers
18369 There are at least fourteen candidates for truth-bearers [Kirkham]
3. Truth / F. Semantic Truth / 1. Tarski's Truth / b. Satisfaction and truth
19318 A 'sequence' of objects is an order set of them [Kirkham]
19319 If one sequence satisfies a sentence, they all do [Kirkham]
3. Truth / F. Semantic Truth / 2. Semantic Truth
19320 If we define truth by listing the satisfactions, the supply of predicates must be finite [Kirkham]
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 / A. Overview of Logic / 5. First-Order Logic
19315 In quantified language the components of complex sentences may not be sentences [Kirkham]
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 / I. Semantics of Logic / 4. Satisfaction
19317 An open sentence is satisfied if the object possess that property [Kirkham]
5. Theory of Logic / J. Model Theory in Logic / 3. Löwenheim-Skolem Theorems
10288 Down Löwenheim-Skolem: if a countable language has a consistent theory, that has a countable model [Hodges,W]
10289 Up Löwenheim-Skolem: if infinite models, then arbitrarily large models [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]
7. Existence / D. Theories of Reality / 8. Facts / b. Types of fact
19322 Why can there not be disjunctive, conditional and negative facts? [Kirkham]
20. Action / B. Preliminaries of Action / 2. Willed Action / a. Will to Act
7861 Libet says the processes initiated in the cortex can still be consciously changed [Libet, by Papineau]
6660 Libet found conscious choice 0.2 secs before movement, well after unconscious 'readiness potential' [Libet, by Lowe]