Combining Philosophers

All the ideas for Herodotus, Anon (Tor) and Peter Koellner

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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]
24. Political Theory / A. Basis of a State / 1. A People / a. Human distinctiveness
7506 God made man in his own image [Anon (Tor)]
26. Natural Theory / B. Natural Kinds / 5. Reference to Natural Kinds
16782 The names of all the types of creature were given forever by Adam [Anon (Tor)]
28. God / A. Divine Nature / 6. Divine Morality / b. Euthyphro question
4013 And God saw the light, that it was good [Anon (Tor)]
29. Religion / D. Religious Issues / 2. Immortality / a. Immortality
1513 The Egyptians were the first to say the soul is immortal and reincarnated [Herodotus]