Things That are Right with the Traditional Square of Opposition
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The truth conditions that Aristotle attributes to the propositions making up the traditional square of opposition have as a consequence that a particular affirmative proposition such as ‘Some A is not B’ is true if there are no Bs. Although a different convention than the modern one, this assumption remained part of centuries of work in logic that was coherent and logically fruitful.
Mathematics Subject Classification (2000).Primary 03A05 Secondary 01A35
Keywords.Square of opposition Aristotelian
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