Combining Philosophers

All the ideas for Prodicus, Micklethwait,J/Wooldridge,A and Peter Koellner

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15 ideas

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 / A. Overview of Logic / 5. First-Order Logic
Classical liberalism seeks freedom of opinion, of private life, of expression, and of property [Micklethwait/Wooldridge]
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]
19. Language / F. Communication / 3. Denial
Contradiction is impossible, since only one side of the argument refers to the true facts [Prodicus, by Didymus the Blind]
24. Political Theory / D. Ideologies / 8. Socialism
The welfare state aims at freedom from want, and equality of opportunity [Micklethwait/Wooldridge]
24. Political Theory / D. Ideologies / 9. Communism
For communists history is driven by the proletariat [Micklethwait/Wooldridge]
24. Political Theory / D. Ideologies / 11. Capitalism
Fans of economic freedom claim that capitalism is self-correcting [Micklethwait/Wooldridge]
25. Social Practice / C. Rights / 4. Property rights
Roman law entrenched property rights [Micklethwait/Wooldridge]
28. God / B. Proving God / 3. Proofs of Evidence / c. Teleological Proof critique
People used to think anything helpful to life was a god, as the Egyptians think the Nile a god [Prodicus]
28. God / C. Attitudes to God / 5. Atheism
The gods are just personified human benefits [Prodicus]
He denied the existence of the gods, saying they are just exaltations of things useful for life [Prodicus]