Combining Texts

All the ideas for 'On the Question of Absolute Undecidability', 'Counterfactual Dependence and Time's Arrow' and 'Causation'

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10 ideas

4. Formal Logic / F. Set Theory ST / 1. Set Theory
17884 Mathematical set theory has many plausible stopping points, such as finitism, and predicativism [Koellner]
17893 'Reflection principles' say the whole truth about sets can't be captured [Koellner]
5. Theory of Logic / K. Features of Logics / 5. Incompleteness
17894 We have no argument to show a statement is absolutely undecidable [Koellner]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / i. Cardinal infinity
17890 There are at least eleven types of large cardinal, of increasing logical strength [Koellner]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / d. Peano arithmetic
17887 PA is consistent as far as we can accept, and we expand axioms to overcome limitations [Koellner]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / g. Incompleteness of Arithmetic
17891 Arithmetical undecidability is always settled at the next stage up [Koellner]
7. Existence / D. Theories of Reality / 8. Facts / a. Facts
8386 Events are picked out by descriptions, and facts by whole sentences [Crane]
26. Natural Theory / C. Causation / 4. Naturalised causation
8387 A cause has its effects in virtue of its properties [Crane]
26. Natural Theory / C. Causation / 5. Direction of causation
8433 There are few traces of an event before it happens, but many afterwards [Lewis, by Horwich]
26. Natural Theory / C. Causation / 9. General Causation / a. Constant conjunction
8384 The regularity theory explains a causal event by other items than the two that are involved [Crane]