Combining Texts

All the ideas for 'The Character of Physical Law', 'Space, Time and Deity (2 vols)' and 'Model Theory'

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13 ideas

1. Philosophy / D. Nature of Philosophy / 7. Despair over Philosophy
15970 People generalise because it is easier to understand, and that is mistaken for deep philosophy [Feynman]
2. Reason / D. Definition / 7. Contextual Definition
10476 The idea that groups of concepts could be 'implicitly defined' was abandoned [Hodges,W]
5. Theory of Logic / A. Overview of Logic / 5. First-Order Logic
10478 Since first-order languages are complete, |= and |- have the same meaning [Hodges,W]
5. Theory of Logic / B. Logical Consequence / 4. Semantic Consequence |=
10477 |= in model-theory means 'logical consequence' - it holds in all models [Hodges,W]
5. Theory of Logic / I. Semantics of Logic / 4. Satisfaction
10474 |= should be read as 'is a model for' or 'satisfies' [Hodges,W]
5. Theory of Logic / J. Model Theory in Logic / 1. Logical Models
10473 Model theory studies formal or natural language-interpretation using set-theory [Hodges,W]
10475 A 'structure' is an interpretation specifying objects and classes of quantification [Hodges,W]
10481 Models in model theory are structures, not sets of descriptions [Hodges,W]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / i. Cardinal infinity
10480 First-order logic can't discriminate between one infinite cardinal and another [Hodges,W]
17. Mind and Body / A. Mind-Body Dualism / 6. Epiphenomenalism
14494 Epiphenomenalism is like a pointless nobleman, kept for show, but soon to be abolished [Alexander,S]
26. Natural Theory / D. Laws of Nature / 4. Regularities / a. Regularity theory
9410 Physical Laws are rhythms and patterns in nature, revealed by analysis [Feynman]
27. Natural Reality / B. Modern Physics / 2. Electrodynamics / d. Quantum mechanics
18530 Nobody understands quantum mechanics [Feynman]
27. Natural Reality / C. Space / 3. Points in Space
17707 We should regard space as made up of many tiny pieces [Feynman, by Mares]