Combining Texts

All the ideas for 'talk', 'On the Question of Absolute Undecidability' and 'Ideas, Qualities and Corpuscles'

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13 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 / C. Structure of Objects / 2. Hylomorphism / a. Hylomorphism
15959 If the substantial form of brass implies its stability, how can it melt and remain brass? [Alexander,P]
9. Objects / C. Structure of Objects / 2. Hylomorphism / b. Form as principle
15956 The peripatetics treated forms and real qualities as independent of matter, and non-material [Alexander,P]
13. Knowledge Criteria / E. Relativism / 2. Knowledge as Convention
1556 By nature people are close to one another, but culture drives them apart [Hippias]
14. Science / D. Explanation / 2. Types of Explanation / k. Explanations by essence
15975 Can the qualities of a body be split into two groups, where the smaller explains the larger? [Alexander,P]
26. Natural Theory / A. Speculations on Nature / 2. Natural Purpose / a. Final purpose
15963 Science has been partly motivated by the belief that the universe is run by God's laws [Alexander,P]
26. Natural Theory / D. Laws of Nature / 8. Scientific Essentialism / a. Scientific essentialism
15951 Alchemists tried to separate out essences, which influenced later chemistry [Alexander,P]
27. Natural Reality / C. Space / 4. Substantival Space
15981 Absolute space either provides locations, or exists but lacks 'marks' for locations [Alexander,P]