Combining Texts

All the ideas for 'From Stimulus to Science', 'Anti-essentialism' and 'Model Theory'

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15 ideas

2. Reason / B. Laws of Thought / 3. Non-Contradiction
6564 To affirm 'p and not-p' is to have mislearned 'and' or 'not' [Quine]
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 / C. Ontology of Logic / 1. Ontology of Logic
12766 Logical space is abstracted from the actual world [Stalnaker]
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]
9. Objects / C. Structure of Objects / 7. Substratum
12764 For the bare particular view, properties must be features, not just groups of objects [Stalnaker]
9. Objects / D. Essence of Objects / 7. Essence and Necessity / a. Essence as necessary properties
12761 An essential property is one had in all the possible worlds where a thing exists [Stalnaker]
9. Objects / D. Essence of Objects / 7. Essence and Necessity / b. Essence not necessities
12763 Necessarily self-identical, or being what it is, or its world-indexed properties, aren't essential [Stalnaker]
9. Objects / D. Essence of Objects / 15. Against Essentialism
12762 Bare particular anti-essentialism makes no sense within modal logic semantics [Stalnaker]
10. Modality / E. Possible worlds / 3. Transworld Objects / a. Transworld identity
12765 Why imagine that Babe Ruth might be a billiard ball; nothing useful could be said about the ball [Stalnaker]