Combining Texts

All the ideas for 'On the Question of Absolute Undecidability', 'The Evolution of Co-Operation' and 'On the Source of Necessity'

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11 ideas

4. Formal Logic / D. Modal Logic ML / 3. Modal Logic Systems / g. System S4
15102 S4 says there must be some necessary truths (the actual ones, of which there is at least one) [Cameron]
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]
10. Modality / C. Sources of Modality / 1. Sources of Necessity
15103 Blackburn fails to show that the necessary cannot be grounded in the contingent [Cameron]
23. Ethics / B. Contract Ethics / 8. Contract Strategies
22725 When players don't meet again, defection is the best strategy [Axelrod]
22724 Good strategies avoid conflict, respond to hostility, forgive, and are clear [Axelrod]
27. Natural Reality / D. Time / 1. Nature of Time / f. Eternalism
15104 The 'moving spotlight' theory makes one time privileged, while all times are on a par ontologically [Cameron]