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Ideas for 'On the Question of Absolute Undecidability', 'The Logical Basis of Metaphysics' and 'Event Causation: counterfactual analysis'

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2 ideas

5. Theory of Logic / E. Structures of Logic / 2. Logical Connectives / c. not
Classical negation is circular, if it relies on knowing negation-conditions from truth-conditions [Dummett]
     Full Idea: Explanations of classical negation assume that knowing what it is for the truth-condition of some statement to obtain, independently of recognising it to obtain, we thereby know what it is for it NOT to obtain; but this presupposes classical negation.
     From: Michael Dummett (The Logical Basis of Metaphysics [1991], p.299), quoted by Ian Rumfitt - The Boundary Stones of Thought 1.1
     A reaction: [compressed wording] This is Dummett explaining why he prefers intuitionistic logic, with its doubts about double negation.
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)