Combining Texts

All the ideas for 'On the Question of Absolute Undecidability', 'Substances without Substrata' and 'Whose Justice? Which Rationality?'

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9 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]
13. Knowledge Criteria / E. Relativism / 4. Cultural relativism
10356 Relativism can be seen as about the rationality of different cultural traditions [MacIntyre, by Kusch]
19. Language / F. Communication / 6. Interpreting Language / c. Principle of charity
6316 We translate in a way that makes the largest possible number of statements true [Wilson,NL]
24. Political Theory / D. Ideologies / 6. Liberalism / g. Liberalism critique
23080 Liberals debate how conservative or radical to be, but don't question their basics [MacIntyre]