Combining Texts

All the ideas for 'On the Question of Absolute Undecidability', 'Prcis of 'Ruling Passions'' and 'Contextualism Contested'

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9 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]
13. Knowledge Criteria / C. External Justification / 6. Contextual Justification / b. Invariantism
12890 That standards vary with context doesn't imply different truth-conditions for judgements [Conee]
12892 Maybe there is only one context (the 'really and truly' one) for serious discussions of knowledge [Conee]
22. Metaethics / A. Ethics Foundations / 1. Nature of Ethics / d. Ethical theory
11911 Some philosophers always want more from morality; for others, nature is enough [Blackburn]