Combining Texts

All the ideas for 'On the Question of Absolute Undecidability', 'Philosophical Theology' and 'Aristotle's Theory of Substance'

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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]
8. Modes of Existence / B. Properties / 3. Types of Properties
12354 A 'categorial' property is had by virtue of being or having an item from a category [Wedin]
9. Objects / B. Unity of Objects / 2. Substance / d. Substance defined
12358 Substance is a principle and a kind of cause [Wedin]
9. Objects / C. Structure of Objects / 2. Hylomorphism / a. Hylomorphism
12346 Form explains why some matter is of a certain kind, and that is explanatory bedrock [Wedin]
28. God / B. Proving God / 3. Proofs of Evidence / b. Teleological Proof
1451 Design is seen in the way ideas match the world, in the mechanisms of evolution, and in values [Tennant,FR, by PG]