Combining Texts

All the ideas for 'Causality: Reductionism versus Realism', 'What Numbers Are' and 'Events'

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11 ideas

5. Theory of Logic / J. Model Theory in Logic / 3. Löwenheim-Skolem Theorems
Löwenheim-Skolem says any theory with a true interpretation has a model in the natural numbers [White,NP]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / c. Counting procedure
Finite cardinalities don't need numbers as objects; numerical quantifiers will do [White,NP]
7. Existence / B. Change in Existence / 4. Events / a. Nature of events
Some events involve no change; they must, because causal histories involve unchanges [Lewis]
The events that suit semantics may not be the events that suit causation [Lewis]
Events have inbuilt essences, as necessary conditions for their occurrence [Lewis]
Events are classes, and so there is a mereology of their parts [Lewis]
7. Existence / B. Change in Existence / 4. Events / c. Reduction of events
An event is a property of a unique space-time region [Lewis]
8. Modes of Existence / B. Properties / 10. Properties as Predicates
Properties are very abundant (unlike universals), and are used for semantics and higher-order variables [Lewis]
26. Natural Theory / C. Causation / 1. Causation
Causation is a general relation derived from instances of causal dependence [Lewis]
26. Natural Theory / C. Causation / 4. Naturalised causation
Reductionists can't explain accidents, uninstantiated laws, probabilities, or the existence of any laws [Tooley]
26. Natural Theory / C. Causation / 8. Particular Causation / e. Probabilistic causation
Quantum physics suggests that the basic laws of nature are probabilistic [Tooley]