Combining Texts

All the ideas for 'fragments/reports', 'Model Theory' and 'Philosophy of Language'

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19 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 / F. Referring in Logic / 1. Naming / c. Names as referential
If the only property of a name was its reference, we couldn't explain bearerless names [Miller,A]
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]
13. Knowledge Criteria / D. Scepticism / 2. Types of Scepticism
Constitutive scepticism is about facts, and epistemological scepticism about our ability to know them [Miller,A]
17. Mind and Body / B. Behaviourism / 2. Potential Behaviour
Dispositions say what we will do, not what we ought to do, so can't explain normativity [Miller,A]
19. Language / A. Nature of Meaning / 1. Meaning
Explain meaning by propositional attitudes, or vice versa, or together? [Miller,A]
19. Language / C. Assigning Meanings / 6. Truth-Conditions Semantics
If truth is deflationary, sentence truth-conditions just need good declarative syntax [Miller,A]
19. Language / E. Analyticity / 2. Analytic Truths
'Jones is a married bachelor' does not have the logical form of a contradiction [Miller,A]
19. Language / F. Communication / 6. Interpreting Language / c. Principle of charity
The principle of charity is holistic, saying we must hold most of someone's system of beliefs to be true [Miller,A]
Maybe we should interpret speakers as intelligible, rather than speaking truth [Miller,A]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / h. Expressivism
The Frege-Geach problem is that I can discuss the wrongness of murder without disapproval [Miller,A]
26. Natural Theory / A. Speculations on Nature / 5. Infinite in Nature
Archelaus was the first person to say that the universe is boundless [Archelaus, by Diog. Laertius]
27. Natural Reality / G. Biology / 3. Evolution
Archelaus said life began in a primeval slime [Archelaus, by Schofield]