Combining Texts

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

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10 ideas

4. Formal Logic / F. Set Theory ST / 1. Set Theory
Mathematical set theory has many plausible stopping points, such as finitism, and predicativism [Koellner]
'Reflection principles' say the whole truth about sets can't be captured [Koellner]
5. Theory of Logic / K. Features of Logics / 5. Incompleteness
We have no argument to show a statement is absolutely undecidable [Koellner]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / i. Cardinal infinity
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
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
Arithmetical undecidability is always settled at the next stage up [Koellner]
23. Ethics / B. Contract Ethics / 8. Contract Strategies
When players don't meet again, defection is the best strategy [Axelrod]
Good strategies avoid conflict, respond to hostility, forgive, and are clear [Axelrod]
24. Political Theory / C. Ruling a State / 4. Changing the State / c. Revolution
In Marxism the state will be superseded [Singer]
24. Political Theory / D. Ideologies / 9. Communism
Materialist history says we are subject to incomprehensible forces [Singer]