Prosleptic syllogism

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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.

[edit] 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.”