Combining Texts

All the ideas for 'On the Question of Absolute Undecidability', 'The Xunzi' and 'Real Essence'

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9 ideas

2. Reason / D. Definition / 4. Real Definition
16030 'Nominal' definitions identify things, but fail to give their essence [Jones,J-E]
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]
23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / d. Teaching virtue
23405 Rituals escape natural chaos, and benefit everyone, by reshaping our motivations [Xunzi (Xun Kuang), by Norden]
23406 Rituals don't arise from human nature; they are the deliberate creations of a sage [Xunzi (Xun Kuang)]