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2 ideas
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. |
8078 | Modus ponens is one of five inference rules identified by the Stoics [Chrysippus, by Devlin] |
Full Idea: Modus ponens is just one of the five different inference rules identified by the Stoics. | |
From: report of Chrysippus (fragments/reports [c.240 BCE]) by Keith Devlin - Goodbye Descartes Ch.2 | |
A reaction: Modus ponens strikes me as being more like a definition of implication than a 'rule'. Implication is what gets you from one truth to another. All the implications of a truth must also be true. |