Things That are Right with the Traditional Square of Opposition
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- Parsons, T. Log. univers. (2008) 2: 3. doi:10.1007/s11787-007-0031-x
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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.