Combining Texts

Ideas for 'On the Question of Absolute Undecidability', 'Abstract Objects: a Case Study' and 'Summa Theologicae'

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2 ideas

5. Theory of Logic / B. Logical Consequence / 1. Logical Consequence

23173	If a syllogism admits one absurdity, others must follow [Aquinas]
	Full Idea: In syllogistic arguments, granted one absurdity, others must follow too.
	From: Thomas Aquinas (Summa Theologicae [1265], I-II Q19 6)
	A reaction: This asserts the necessity of logical consequence, which he derives from Aristotle.

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)