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Ideas for 'fragments/reports', 'The Boundary Stones of Thought' and 'On Duties ('De Officiis')'

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2 ideas

5. Theory of Logic / D. Assumptions for Logic / 1. Bivalence

18840	When faced with vague statements, Bivalence is not a compelling principle [Rumfitt]
	Full Idea: I do not regard Bivalence, when applied to vague statements, as an intuitively compelling principle which we ought to try to preserve.
	From: Ian Rumfitt (The Boundary Stones of Thought [2015], 8.7)
	A reaction: The point of Rumfitt's book is to defend classical logic despite failures of bivalence. He also cites undecidable concepts such as the Continuum Hypothesis.

5. Theory of Logic / D. Assumptions for Logic / 2. Excluded Middle

6023	Every proposition is either true or false [Chrysippus, by Cicero]
	Full Idea: We hold fast to the position, defended by Chrysippus, that every proposition is either true or false.
	From: report of Chrysippus (fragments/reports [c.240 BCE]) by M. Tullius Cicero - On Fate ('De fato') 38
	A reaction: I am intrigued to know exactly how you defend this claim. It may depend what you mean by a proposition. A badly expressed proposition may have indeterminate truth, quite apart from the vague, the undecidable etc.