Combining Texts

All the ideas for 'The Psychophysical Nexus', 'Causation and the Manifestation of Powers' and 'Principles of Arithmetic, by a new method'

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9 ideas

6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / d. Peano arithmetic
All models of Peano axioms are isomorphic, so the models all seem equally good for natural numbers [Cartwright,R on Peano]
PA concerns any entities which satisfy the axioms [Peano, by Bostock]
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
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
Arithmetic can have even simpler logical premises than the Peano Axioms [Russell on Peano]
7. Existence / C. Structure of Existence / 5. Supervenience / c. Significance of supervenience
Pure supervenience explains nothing, and is a sign of something fundamental we don't know [Nagel]
15. Nature of Minds / C. Capacities of Minds / 9. Perceiving Causation
Causation seems to be an innate concept (or acquired very early) [Bird]
26. Natural Theory / C. Causation / 2. Types of cause
The dispositional account explains causation, as stimulation and manifestation of dispositions [Bird]
26. Natural Theory / C. Causation / 9. General Causation / c. Counterfactual causation
The counterfactual approach makes no distinction between cause and pre-condition [Bird]