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2 ideas
18694 | Permutation Theorem: any theory with a decent model has lots of models [Button] |
Full Idea: The Permutation Theorem says that any theory with a non-trivial model has many distinct isomorphic models with the same domain. | |
From: Tim Button (The Limits of Reason [2013], 02.1) | |
A reaction: This may be the most significant claim of model theory, since Putnam has erected an argument for anti-realism on it. See the ideas of Tim Button. |
17894 | We have no argument to show a statement is absolutely undecidable [Koellner] |
Full Idea: There is at present no solid argument to the effect that a given statement is absolutely undecidable. | |
From: Peter Koellner (On the Question of Absolute Undecidability [2006], 5.3) |