Combining Texts

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

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14 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]
16. Persons / F. Free Will / 4. For Free Will
If actions are not caused by other events, and are not causeless, they must be caused by the person [Chisholm]
16. Persons / F. Free Will / 5. Against Free Will
If free will miraculously interrupts causation, animals might do that; why would we want to do it? [Frankfurt on Chisholm]
For Hobbes (but not for Kant) a person's actions can be deduced from their desires and beliefs [Chisholm]
20. Action / C. Motives for Action / 4. Responsibility for Actions
Desires may rule us, but are we responsible for our desires? [Chisholm]
Responsibility seems to conflict with events being either caused or not caused [Chisholm]
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]
26. Natural Theory / C. Causation / 8. Particular Causation / b. Causal relata
Causation among objects relates either events or states [Chisholm]