Combining Texts

All the ideas for 'On the Question of Absolute Undecidability', 'Life of Pythagoras' and 'Meaning'

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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]
19. Language / A. Nature of Meaning / 3. Meaning as Speaker's Intention
7751 Meaning needs an intention to induce a belief, and a recognition that this is the speaker's intention [Grice]
7752 Only the utterer's primary intention is relevant to the meaning [Grice]
7753 We judge linguistic intentions rather as we judge non-linguistic intentions, so they are alike [Grice]
28. God / A. Divine Nature / 6. Divine Morality / b. Euthyphro question
1515 Pythagoreans believe it is absurd to seek for goodness anywhere except with the gods [Iamblichus]