Prosleptic syllogism

Prosleptic syllogism

A prosleptic syllogism is a class of syllogisms that use a prosleptic proposition as one of the premises. The term originated with Theophrastus of Eresus, although Aristotle did briefly mention such syllogisms by a different name in his "Prior Analytics".

Figures

Prosleptic syllogisms are classified in three figures, or potential arrangements of the terms according to the figure of the prosleptic proposition used.First figure: “A is universally predicated of everything that is universally predicated of G”Second figure: “Everything predicated universally of A is predicated universally of G”Third figure: “A is universally predicated of everything of which G is universally predicated”

Consequently, a third figure prosleptic syllogism would read “A is universally affirmed of everything of which G is universally affirmed; G is universally affirmed of A; therefore, A is universally affirmed of B.”

References

* Logic, History of. In Encyclopædia Britannica. (2006). [http://cache.britannica.com/eb/article?tocId=65923]


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