Combining Texts

Ideas for 'On the Question of Absolute Undecidability', 'Letters to a German Princess' and 'The Boundary Stones of Thought'

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2 ideas

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)

5. Theory of Logic / K. Features of Logics / 10. Monotonicity

18807	Monotonicity means there is a guarantee, rather than mere inductive support [Rumfitt]
	Full Idea: Monotonicity seems to mark the difference between cases in which a guarantee obtains and those where the premises merely provide inductive support for a conclusion.
	From: Ian Rumfitt (The Boundary Stones of Thought [2015], 2.3)
	A reaction: Hence it is plausible to claim that 'non-monotonic logic' is a contradiction in terms.