Combining Texts

All the ideas for 'On the Question of Absolute Undecidability', 'Moral Relativism' and 'Mathematical Logic (revised)'

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11 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 / E. Structures of Logic / 4. Variables in Logic
12221 'Corner quotes' (quasi-quotation) designate 'whatever these terms designate' [Quine]
5. Theory of Logic / F. Referring in Logic / 1. Naming / f. Names eliminated
19321 We might do without names, by converting them into predicates [Quine, by Kirkham]
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 / B. Perception / 5. Interpretation
22449 When we say 'is red' we don't mean 'seems red to most people' [Foot]
22. Metaethics / A. Ethics Foundations / 1. Nature of Ethics / e. Ethical cognitivism
22451 All people need affection, cooperation, community and help in trouble [Foot]
22. Metaethics / B. Value / 1. Nature of Value / f. Ultimate value
22452 Do we have a concept of value, other than wanting something, or making an effort to get it? [Foot]