Combining Texts

All the ideas for 'Wittgenstein's 'Philosophical Investigations'', '06: Epistle to the Romans' and 'On the Question of Absolute Undecidability'

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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]
12. Knowledge Sources / A. A Priori Knowledge / 3. Innate Knowledge / a. Innate knowledge
5052 When Gentiles follow the law, they must have the law written in their hearts [Paul]
15. Nature of Minds / A. Nature of Mind / 4. Other Minds / d. Other minds by analogy
14644 If my conception of pain derives from me, it is a contradiction to speak of another's pain [Malcolm]
24. Political Theory / D. Ideologies / 10. Theocracy
7572 Power is ordained by God, so anyone who resists power resists God, and will be damned [Paul]