A diagrammatic calculus of n-term syllogisms

Mathematics – Logic

Scientific paper

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20 pages

Scientific paper

We extend the diagrammatic calculus of syllogisms introduced in our previous
paper to the general case of n-term syllogisms, showing that the valid ones are
exactly those whose conclusion follows by calculation. Moreover, by pointing
out the existing connections with the theory of rewriting systems we will also
single out a suitable category theoretic framework for the calculus.

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