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Ideas for 'fragments/reports', 'Review of Chihara 'Struct. Accnt of Maths'' and 'An Inquiry into Meaning and Truth'

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2 ideas

5. Theory of Logic / D. Assumptions for Logic / 2. Excluded Middle
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.
Questions wouldn't lead anywhere without the law of excluded middle [Russell]
     Full Idea: Without the law of excluded middle, we could not ask the questions that give rise to discoveries.
     From: Bertrand Russell (An Inquiry into Meaning and Truth [1940], c.p.88)