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2 ideas

5. Theory of Logic / E. Structures of Logic / 1. Logical Form
Stoics avoided universals by paraphrasing 'Man is...' as 'If something is a man, then it is...' [Stoic school, by Long]
     Full Idea: Stoics reduced universals to thoughts or concepts, ...so in order to make universal statements which would not conflict with their metaphysics, they rephrased sentences of the form 'Man is...' as conditionals: 'If something is a man, then it is...'
     From: report of Stoic school (fragments/reports [c.200 BCE]) by A.A. Long - Hellenistic Philosophy 4.3.3
     A reaction: [reference to Sextus, Adv Math 9.8] Predicate logic handles this with ease. It is something like the strategy of Ramsey sentences, for eliminating metaphysical properties.
5. Theory of Logic / E. Structures of Logic / 2. Logical Connectives / c. not
The contradictory of a contradictory is an affirmation [Stoic school, by Diog. Laertius]
     Full Idea: A double contradictory is the contradictory of a contradictory, for example, 'It s not the case that it is not day'. It posits that it is day.
     From: report of Stoic school (fragments/reports [c.200 BCE]) by Diogenes Laertius - Lives of Eminent Philosophers 07.69
     A reaction: Seems like common sense to the stoics, but verifying the double negative may be a different procedure to verifying the affirmative. 'Are you happy?' 'Well ….I'm not unhappy'. 'Is it day yet?' 'Well, it's not night'.