Combining Texts

All the ideas for 'On the Question of Absolute Undecidability', 'works' and 'Universals'

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10 ideas

1. Philosophy / G. Scientific Philosophy / 3. Scientism
7081 Philosophy is not separate from or above empirical science [Neurath]
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]
8. Modes of Existence / D. Universals / 1. Universals
8495 The distinction between particulars and universals is a mistake made because of language [Ramsey]
8493 We could make universals collections of particulars, or particulars collections of their qualities [Ramsey]
8. Modes of Existence / E. Nominalism / 1. Nominalism / a. Nominalism
8494 Obviously 'Socrates is wise' and 'Socrates has wisdom' express the same fact [Ramsey]