Combining Texts

All the ideas for 'Brainstorms:Essays on Mind and Psychology', 'Natural Minds' and 'First-Order Logic'

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16 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
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]
12. Knowledge Sources / B. Perception / 2. Qualities in Perception / d. Secondary qualities
6375 The taste of chocolate is a 'finer-grained' sensation than the taste of sweetness [Polger]
15. Nature of Minds / B. Features of Minds / 4. Intentionality / b. Intentionality theories
3158 Theories of intentionality presuppose rationality, so can't explain it [Dennett]
16. Persons / B. Nature of the Self / 1. Self and Consciousness
6381 The mind and the self are one, and the mind-self is a biological phenomenon [Polger]
17. Mind and Body / B. Behaviourism / 3. Intentional Stance
3159 Beliefs and desires aren't real; they are prediction techniques [Dennett]
17. Mind and Body / C. Functionalism / 5. Teleological Functionalism
6378 Teleological functions explain why a trait exists; causal-role functions say what it does [Polger]
17. Mind and Body / E. Mind as Physical / 1. Physical Mind
6380 Identity theory says consciousness is an abstraction: a state, event, process or property [Polger]
26. Natural Theory / A. Speculations on Nature / 3. Natural Function
6379 A mummified heart has the teleological function of circulating blood [Polger]
6377 Teleological notions of function say what a thing is supposed to do [Polger]