Combining Texts

All the ideas for 'On the Question of Absolute Undecidability', 'talk' and 'The Nature of Rationality'

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13 ideas

3. Truth / A. Truth Problems / 3. Value of Truth
I do not care if my trivial beliefs are false, and I have no interest in many truths [Nozick]
3. Truth / E. Pragmatic Truth / 1. Pragmatic Truth
Maybe James was depicting the value of truth, and not its nature [Nozick]
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]
18. Thought / A. Modes of Thought / 5. Rationality / a. Rationality
Rationality is normally said to concern either giving reasons, or reliability [Nozick]
In the instrumental view of rationality it only concerns means, and not ends [Nozick]
Is it rational to believe a truth which leads to permanent misery? [Nozick]
Rationality needs some self-consciousness, to also evaluate how we acquired our reasons [Nozick]
24. Political Theory / B. Nature of a State / 5. Culture
Culture is the struggle to agree what is normal [Gibson,A]