Combining Texts

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

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17 ideas

3. Truth / A. Truth Problems / 3. Value of Truth
22664 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
22665 Maybe James was depicting the value of truth, and not its nature [Nozick]
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]
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / c. Against mathematical empiricism
10735 Abstraction from objects won't reveal an operation's being performed 'so many times' [Geach]
15. Nature of Minds / C. Capacities of Minds / 5. Generalisation by mind
10732 If concepts are just recognitional, then general judgements would be impossible [Geach]
18. Thought / A. Modes of Thought / 5. Rationality / a. Rationality
22662 In the instrumental view of rationality it only concerns means, and not ends [Nozick]
22663 Rationality is normally said to concern either giving reasons, or reliability [Nozick]
22666 Is it rational to believe a truth which leads to permanent misery? [Nozick]
22667 Rationality needs some self-consciousness, to also evaluate how we acquired our reasons [Nozick]
18. Thought / D. Concepts / 3. Ontology of Concepts / b. Concepts as abilities
10731 For abstractionists, concepts are capacities to recognise recurrent features of the world [Geach]
18. Thought / E. Abstraction / 8. Abstractionism Critique
10733 The abstractionist cannot explain 'some' and 'not' [Geach]
10734 Only a judgement can distinguish 'striking' from 'being struck' [Geach]