Combining Texts

All the ideas for 'On the Question of Absolute Undecidability', 'The Parts of Animals' and '64: Gryllus - on Rationality in Animals'

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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]
15. Nature of Minds / A. Nature of Mind / 8. Brain
23218 The brain has no responsibility for sensations, which occur in the heart [Aristotle]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / j. Ethics by convention
1477 Being manly and brave is the result of convention, not of human nature [Plutarch]
22. Metaethics / C. The Good / 3. Pleasure / e. Role of pleasure
1478 Animals don't value pleasure, as they cease sexual intercourse after impregnation [Plutarch]
25. Social Practice / F. Life Issues / 5. Sexual Morality
1479 Animals have not been led into homosexuality, because they value pleasure very little [Plutarch]