Combining Texts

All the ideas for 'fragments/reports', 'Model Theory' and 'Causal Relations'

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17 ideas

1. Philosophy / F. Analytic Philosophy / 5. Linguistic Analysis
The best way to do ontology is to make sense of our normal talk [Davidson]
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]
7. Existence / B. Change in Existence / 4. Events / b. Events as primitive
If we don't assume that events exist, we cannot make sense of our common talk [Davidson]
14. Science / D. Explanation / 1. Explanation / a. Explanation
Explanations typically relate statements, not events [Davidson]
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]
26. Natural Theory / C. Causation / 1. Causation
Distinguish causation, which is in the world, from explanations, which depend on descriptions [Davidson, by Schaffer,J]
26. Natural Theory / C. Causation / 8. Particular Causation / b. Causal relata
Either facts, or highly unspecific events, serve better as causes than concrete events [Field,H on Davidson]
26. Natural Theory / C. Causation / 8. Particular Causation / c. Conditions of causation
Full descriptions can demonstrate sufficiency of cause, but not necessity [Davidson]
26. Natural Theory / C. Causation / 9. General Causation / b. Nomological causation
A singular causal statement is true if it is held to fall under a law [Davidson, by Psillos]
27. Natural Reality / G. Biology / 3. Evolution
Archelaus said life began in a primeval slime [Archelaus, by Schofield]