Combining Texts

All the ideas for 'A Thousand Plateaus', 'Comment on Armstrong and Forrest' and 'Model Theory'

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11 ideas

2. Reason / D. Definition / 7. Contextual Definition
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
Since first-order languages are complete, |= and |- have the same meaning [Hodges,W]
5. Theory of Logic / B. Logical Consequence / 4. Semantic Consequence |=
|= in model-theory means 'logical consequence' - it holds in all models [Hodges,W]
5. Theory of Logic / I. Semantics of Logic / 4. Satisfaction
|= should be read as 'is a model for' or 'satisfies' [Hodges,W]
5. Theory of Logic / J. Model Theory in Logic / 1. Logical Models
Model theory studies formal or natural language-interpretation using set-theory [Hodges,W]
A 'structure' is an interpretation specifying objects and classes of quantification [Hodges,W]
Models in model theory are structures, not sets of descriptions [Hodges,W]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / i. Cardinal infinity
First-order logic can't discriminate between one infinite cardinal and another [Hodges,W]
8. Modes of Existence / D. Universals / 1. Universals
The main rivals to universals are resemblance or natural-class nominalism, or sparse trope theory [Lewis]
9. Objects / C. Structure of Objects / 1. Structure of an Object
We could not uphold a truthmaker for 'Fa' without structures [Lewis]
24. Political Theory / D. Ideologies / 1. Ideology
Political theory should not focus on the state or economy, but on the small scale of power [Deleuze/Guattari, by May]