Combining Texts

All the ideas for 'works', 'Model Theory' and 'The Metaphysics of Causation'

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36 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 / D. Assumptions for Logic / 3. Contradiction
Contradiction is not a sign of falsity, nor lack of contradiction a sign of truth [Pascal]
5. Theory of Logic / E. Structures of Logic / 1. Logical Form
Logical form can't dictate metaphysics, as it may propose an undesirable property [Schaffer,J]
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
A 'structure' is an interpretation specifying objects and classes of quantification [Hodges,W]
Model theory studies formal or natural language-interpretation using set-theory [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 / D. Theories of Reality / 8. Facts / b. Types of fact
There is only one fact - the True [Schaffer,J]
26. Natural Theory / C. Causation / 1. Causation
In causation there are three problems of relata, and three metaphysical problems [Schaffer,J]
Causation may not be transitive; the last event may follow from the first, but not be caused by it [Schaffer,J]
There are at least ten theories about causal connections [Schaffer,J]
26. Natural Theory / C. Causation / 4. Naturalised causation
Causation transcends nature, because absences can cause things [Schaffer,J]
Causation may not be a process, if a crucial part of the process is 'disconnected' [Schaffer,J]
A causal process needs to be connected to the effect in the right way [Schaffer,J]
Causation can't be a process, because a process needs causation as a primitive [Schaffer,J]
26. Natural Theory / C. Causation / 5. Direction of causation
At least four rivals have challenged the view that causal direction is time direction [Schaffer,J]
Causal order must be temporal, or else causes could be blocked, and time couldn't be explained [Schaffer,J]
Causal order is not temporal, because of time travel, and simultanous, joint or backward causes [Schaffer,J]
26. Natural Theory / C. Causation / 6. Causation as primitive
Causation is primitive; it is too intractable and central to be reduced; all explanations require it [Schaffer,J]
If causation is just observables, or part of common sense, or vacuous, it can't be primitive [Schaffer,J]
26. Natural Theory / C. Causation / 7. Eliminating causation
Causation is utterly essential for numerous philosophical explanations [Schaffer,J]
The notion of causation allows understanding of science, without appearing in equations [Schaffer,J]
26. Natural Theory / C. Causation / 8. Particular Causation / a. Observation of causation
If two different causes are possible in one set of circumstances, causation is primitive [Schaffer,J]
If causation is primitive, it can be experienced in ourselves, or inferred as best explanation [Schaffer,J]
26. Natural Theory / C. Causation / 8. Particular Causation / b. Causal relata
Events are fairly course-grained (just saying 'hello'), unlike facts (like saying 'hello' loudly) [Schaffer,J]
Causal relata are events - or facts, features, tropes, states, situations or aspects [Schaffer,J]
One may defend three or four causal relata, as in 'c causes e rather than e*' [Schaffer,J]
If causal relata must be in nature and fine-grained, neither facts nor events will do [Schaffer,J]
The relata of causation (such as events) need properties as explanation, which need causation! [Schaffer,J]
26. Natural Theory / C. Causation / 8. Particular Causation / d. Selecting the cause
Our selection of 'the' cause is very predictable, so must have a basis [Schaffer,J]
Selecting 'the' cause must have a basis; there is no causation without such a selection [Schaffer,J]
26. Natural Theory / C. Causation / 8. Particular Causation / e. Probabilistic causation
The actual cause may make an event less likely than a possible more effective cause [Schaffer,J]
All four probability versions of causation may need causation to be primitive [Schaffer,J]