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Ideas for 'On the Question of Absolute Undecidability', 'Paradoxes of the Infinite' and 'Second Philosophy'

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2 ideas

5. Theory of Logic / A. Overview of Logic / 7. Second-Order Logic
10594 Henkin semantics is more plausible for plural logic than for second-order logic [Maddy]
     Full Idea: Henkin-style semantics seem to me more plausible for plural logic than for second-order logic.
     From: Penelope Maddy (Second Philosophy [2007], III.8 n1)
     A reaction: Henkin-style semantics are presented by Shapiro as the standard semantics for second-order logic.
5. Theory of Logic / K. Features of Logics / 5. Incompleteness
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)