Combining Texts

All the ideas for 'On the Question of Absolute Undecidability', 'Moral Dilemmas Revisited' and 'Freedom and Action'

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10 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]
20. Action / A. Definition of Action / 1. Action Theory
20062 If a desire leads to a satisfactory result by an odd route, the causal theory looks wrong [Chisholm]
20. Action / B. Preliminaries of Action / 2. Willed Action / c. Agent causation
20054 There has to be a brain event which is not caused by another event, but by the agent [Chisholm]
20. Action / C. Motives for Action / 5. Action Dilemmas / a. Dilemmas
22481 There is no restitution after a dilemma, if it only involved the agent, or just needed an explanation [Foot, by PG]
22482 I can't understand how someone can be necessarily wrong whatever he does [Foot]