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Full Idea
There is at present no solid argument to the effect that a given statement is absolutely undecidable.
Gist of Idea
We have no argument to show a statement is absolutely undecidable
Source
Peter Koellner (On the Question of Absolute Undecidability [2006], 5.3)
Book Ref
-: 'Philosophia Mathematica' [-], p.37
| 17884 | Mathematical set theory has many plausible stopping points, such as finitism, and predicativism [Koellner] |
| 17887 | PA is consistent as far as we can accept, and we expand axioms to overcome limitations [Koellner] |
| 17891 | Arithmetical undecidability is always settled at the next stage up [Koellner] |
| 17890 | There are at least eleven types of large cardinal, of increasing logical strength [Koellner] |
| 17893 | 'Reflection principles' say the whole truth about sets can't be captured [Koellner] |
| 17894 | We have no argument to show a statement is absolutely undecidable [Koellner] |