Combining Texts

All the ideas for 'On the Question of Absolute Undecidability', 'Letters to Thomas Burnett' and 'Causation and the Manifestation of Powers'

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11 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]
9. Objects / B. Unity of Objects / 2. Substance / a. Substance
13197 The notion of substance is one of the keys to true philosophy [Leibniz]
15. Nature of Minds / C. Capacities of Minds / 9. Perceiving Causation
17527 Causation seems to be an innate concept (or acquired very early) [Bird]
26. Natural Theory / C. Causation / 2. Types of cause
17528 The dispositional account explains causation, as stimulation and manifestation of dispositions [Bird]
26. Natural Theory / C. Causation / 9. General Causation / c. Counterfactual causation
17526 The counterfactual approach makes no distinction between cause and pre-condition [Bird]
26. Natural Theory / D. Laws of Nature / 8. Scientific Essentialism / c. Essence and laws
13198 Gravity is within matter because of its structure, and it can be explained. [Leibniz]