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arXiv · 1110.2317

The Syllogistic with Unity

Ian Pratt-Hartmann
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Abstract

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.

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Ian Pratt-Hartmann. 2011-10-11. The Syllogistic with Unity. https://doi.org/10.1007/s10992-012-9229-3

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