Combining Texts

All the ideas for 'On Copernicanism and Relativity of Motion', 'On the Question of Absolute Undecidability' and 'Life of Pythagoras'

expand these ideas     |    start again     |     specify just one area for these texts

9 ideas

3. Truth / A. Truth Problems / 8. Subjective Truth
13157 Choose the true hypothesis, which is the most intelligible one [Leibniz]
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]
14. Science / D. Explanation / 3. Best Explanation / a. Best explanation
13158 The Copernican theory is right because it is the only one offering a good explanation [Leibniz]
28. God / A. Divine Nature / 6. Divine Morality / b. Euthyphro question
1515 Pythagoreans believe it is absurd to seek for goodness anywhere except with the gods [Iamblichus]