Combining Philosophers

All the ideas for Peter Koellner, St Paul and Alexander Miller

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21 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 / F. Referring in Logic / 1. Naming / c. Names as referential
If the only property of a name was its reference, we couldn't explain bearerless names [Miller,A]
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]
13. Knowledge Criteria / D. Scepticism / 2. Types of Scepticism
Constitutive scepticism is about facts, and epistemological scepticism about our ability to know them [Miller,A]
17. Mind and Body / B. Behaviourism / 2. Potential Behaviour
Dispositions say what we will do, not what we ought to do, so can't explain normativity [Miller,A]
19. Language / A. Nature of Meaning / 1. Meaning
Explain meaning by propositional attitudes, or vice versa, or together? [Miller,A]
19. Language / C. Assigning Meanings / 6. Truth-Conditions Semantics
If truth is deflationary, sentence truth-conditions just need good declarative syntax [Miller,A]
19. Language / E. Analyticity / 2. Analytic Truths
'Jones is a married bachelor' does not have the logical form of a contradiction [Miller,A]
19. Language / F. Communication / 6. Interpreting Language / c. Principle of charity
The principle of charity is holistic, saying we must hold most of someone's system of beliefs to be true [Miller,A]
Maybe we should interpret speakers as intelligible, rather than speaking truth [Miller,A]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / h. Expressivism
The Frege-Geach problem is that I can discuss the wrongness of murder without disapproval [Miller,A]
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]