Combining Texts

All the ideas for 'works', 'unfinished dialogue' and 'On the Question of Absolute Undecidability'

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

9 ideas

1. Philosophy / G. Scientific Philosophy / 1. Aims of Science
6782 Realism is the only philosophy of science that doesn't make the success of science a miracle [Putnam]
3. Truth / D. Coherence Truth / 1. Coherence Truth
4298 All items of possible human knowledge are interconnected, and can be reached by inference [Descartes]
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]
7. Existence / D. Theories of Reality / 4. Anti-realism
22181 Putnam says anti-realism is a bad explanation of accurate predictions [Putnam, by Okasha]