Combining Philosophers

All the ideas for Hesiod, Peter Koellner and St Paul

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13 ideas

1. Philosophy / D. Nature of Philosophy / 7. Despair over Philosophy
Beware lest any man spoil you through philosophy [Paul]
Don't be tossed to and fro with every wind of doctrine, by cunning deceptive men [Paul]
4. Formal Logic / F. Set Theory ST / 1. Set Theory
Mathematical set theory has many plausible stopping points, such as finitism, and predicativism [Koellner]
'Reflection principles' say the whole truth about sets can't be captured [Koellner]
5. Theory of Logic / K. Features of Logics / 5. Incompleteness
We have no argument to show a statement is absolutely undecidable [Koellner]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / i. Cardinal infinity
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
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
Arithmetical undecidability is always settled at the next stage up [Koellner]
12. Knowledge Sources / A. A Priori Knowledge / 3. Innate Knowledge / a. Innate knowledge
When Gentiles follow the law, they must have the law written in their hearts [Paul]
23. Ethics / C. Virtue Theory / 3. Virtues / a. Virtues
Unlike us, the early Greeks thought envy was a good thing, and hope a bad thing [Hesiod, by Nietzsche]
24. Political Theory / D. Ideologies / 10. Theocracy
Power is ordained by God, so anyone who resists power resists God, and will be damned [Paul]
25. Social Practice / B. Equalities / 1. Grounds of equality
Jew and Greeks, bond and free, male and female, are all one in Christ [Paul]
28. God / B. Proving God / 3. Proofs of Evidence / b. Teleological Proof
God's eternal power and deity are clearly seen in what has been created [Paul]