Combining Texts

All the ideas for 'On the Question of Absolute Undecidability', 'A Short History of German Philosophy' and 'Cognition of Value in Aristotle's Ethics'

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9 ideas

1. Philosophy / E. Nature of Metaphysics / 3. Metaphysical Systems
22820 Early Romantics sought a plurality of systems, in a quest for freedom [Hösle]
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]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / h. Expressivism
4375 Evaluations are not disguised emotions; instead, emotion is a type of evaluation [Achtenberg]
25. Social Practice / E. Policies / 5. Education / d. Study of history
22819 In the 18th century history came to be seen as progressive, rather than cyclical [Hösle]