Combining Texts

All the ideas for 'Realism in Mathematics', 'Events' and 'Philosophical Letters'

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12 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]
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 / 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]
7. Existence / B. Change in Existence / 4. Events / a. Nature of events
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]
Some events involve no change; they must, because causal histories involve unchanges [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]
17. Mind and Body / E. Mind as Physical / 1. Physical Mind
The brain, and all the mental events within it, consists entirely of sensitive and rational matter [Cavendish]
26. Natural Theory / C. Causation / 1. Causation
Causation is a general relation derived from instances of causal dependence [Lewis]