Combining Texts

All the ideas for 'On the Question of Absolute Undecidability', 'Life of Theseus' and 'reports'

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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]
9. Objects / E. Objects over Time / 9. Ship of Theseus
1212 Replacing timbers on Theseus' ship was the classic illustration of the problem of growth and change [Plutarch]
16. Persons / E. Rejecting the Self / 4. Denial of the Self
5517 Individuals don't exist, but are conventional names for sets of elements [Buddha]
29. Religion / C. Spiritual Disciplines / 3. Buddhism
7600 The Buddha believed the gods would eventually disappear, and Nirvana was much higher [Buddha, by Armstrong,K]
7601 Life is suffering, from which only compassion, gentleness, truth and sobriety can save us [Buddha]