Combining Texts

All the ideas for 'Realism in Mathematics', 'Causation and Supervenience' and 'On Platonism in Mathematics'

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16 ideas

4. Formal Logic / F. Set Theory ST / 7. Natural Sets
Maddy replaces pure sets with just objects and perceived sets of objects [Maddy, by Shapiro]
4. Formal Logic / F. Set Theory ST / 8. Critique of Set Theory
Very few things in set theory remain valid in intuitionist mathematics [Bernays]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
A natural number is a property of sets [Maddy, by Oliver]
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / a. For mathematical platonism
Restricted Platonism is just an ideal projection of a domain of thought [Bernays]
6. Mathematics / C. Sources of Mathematics / 2. Intuition of Mathematics
Intuition doesn't support much mathematics, and we should question its reliability [Maddy, by Shapiro]
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / a. Mathematical empiricism
We know mind-independent mathematical truths through sets, which rest on experience [Maddy, by Jenkins]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / d. Logicism critique
Mathematical abstraction just goes in a different direction from logic [Bernays]
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]