Combining Texts

All the ideas for 'On the Question of Absolute Undecidability', 'Two treatises' and 'Does Ontology Rest on a Mistake?'

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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]
7. Existence / D. Theories of Reality / 7. Fictionalism
19489 For me, fictions are internally true, without a significant internal or external truth-value [Yablo]
19490 Make-believe can help us to reason about facts and scientific procedures [Yablo]
19491 'The clouds are angry' can only mean '...if one were attributing emotions to clouds' [Yablo]
9. Objects / C. Structure of Objects / 4. Quantity of an Object
16597 Quantity is the capacity to be divided [Digby]
26. Natural Theory / A. Speculations on Nature / 7. Later Matter Theories / b. Corpuscles
16731 Colours arise from the rarity, density and mixture of matter [Digby]