The Syllogistic with Unity
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- Pratt-Hartmann, I. J Philos Logic (2013) 42: 391. doi:10.1007/s10992-012-9229-3
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We extend the language of the classical syllogisms with the sentence-forms “At most 1 p is a q” and “More than 1 p is a q”. We show that the resulting logic does not admit a finite set of syllogism-like rules whose associated derivation relation is sound and complete, even when reductio ad absurdum is allowed.