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All the ideas for 'Introductions to 'Aesthetics and the Phil of Art'', 'Principles of Arithmetic, by a new method' and 'Causation and Supervenience'

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17 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]
21. Aesthetics / A. Aesthetic Experience / 1. Aesthetics
Modern attention has moved from the intrinsic properties of art to its relational properties [Lamarque/Olson]
21. Aesthetics / B. Nature of Art / 1. Defining Art
Early 20th cent attempts at defining art focused on significant form, intuition, expression, unity [Lamarque/Olson]
21. Aesthetics / B. Nature of Art / 7. Ontology of Art
The dualistic view says works of art are either abstract objects (types), or physical objects [Lamarque/Olson]
26. Natural Theory / C. Causation / 2. Types of cause
Causation is either direct realism, Humean reduction, non-Humean reduction or theoretical realism [Tooley]
Causation distinctions: reductionism/realism; Humean/non-Humean states; observable/non-observable [Tooley]
26. Natural Theory / C. Causation / 5. Direction of causation
We can only reduce the direction of causation to the direction of time if we are realist about the latter [Tooley]
26. Natural Theory / C. Causation / 8. Particular Causation / a. Observation of causation
Causation is directly observable in pressure on one's body, and in willed action [Tooley]
26. Natural Theory / C. Causation / 8. Particular Causation / e. Probabilistic causation
Probabilist laws are compatible with effects always or never happening [Tooley]
The actual cause may not be the most efficacious one [Tooley]
26. Natural Theory / C. Causation / 9. General Causation / a. Constant conjunction
In counterfactual worlds there are laws with no instances, so laws aren't supervenient on actuality [Tooley]
26. Natural Theory / C. Causation / 9. General Causation / b. Nomological causation
Explaining causation in terms of laws can't explain the direction of causation [Tooley]
Causation is a concept of a relation the same in all worlds, so it can't be a physical process [Tooley]