Combining Texts

All the ideas for 'Causality: Reductionism versus Realism', 'Finkish dispositions' and 'Principles of Arithmetic, by a new method'

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11 ideas

6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / d. Peano arithmetic
13949 All models of Peano axioms are isomorphic, so the models all seem equally good for natural numbers [Cartwright,R on Peano]
18113 PA concerns any entities which satisfy the axioms [Peano, by Bostock]
17634 Peano axioms not only support arithmetic, but are also fairly obvious [Peano, by Russell]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / g. Incompleteness of Arithmetic
15653 We can add Reflexion Principles to Peano Arithmetic, which assert its consistency or soundness [Halbach on Peano]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / a. Early logicism
17635 Arithmetic can have even simpler logical premises than the Peano Axioms [Russell on Peano]
8. Modes of Existence / B. Properties / 6. Categorical Properties
15464 The distinction between dispositional and 'categorical' properties leads to confusion [Lewis]
8. Modes of Existence / C. Powers and Dispositions / 3. Powers as Derived
15463 All dispositions must have causal bases [Lewis]
8. Modes of Existence / C. Powers and Dispositions / 6. Dispositions / c. Dispositions as conditional
15461 A 'finkish' disposition is real, but disappears when the stimulus occurs [Lewis]
10. Modality / B. Possibility / 9. Counterfactuals
15462 Backtracking counterfactuals go from supposed events to their required causal antecedents [Lewis]
26. Natural Theory / C. Causation / 4. Naturalised causation
8416 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
8418 Quantum physics suggests that the basic laws of nature are probabilistic [Tooley]