Combining Texts

Ideas for 'On the Question of Absolute Undecidability', 'The Morality of Happiness' and 'The Limits of Reason'

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2 ideas

5. Theory of Logic / J. Model Theory in Logic / 1. Logical Models
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.
5. Theory of Logic / K. Features of Logics / 5. Incompleteness
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)