Hypothetical syllogism

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Hypothetical syllogism is a term used in traditional logic and denotes an inference with one or two hypothetical premises, that is, an inference whose premises are hypothetical judgments (see below). These conclusions have already been discussed by Theophrast, Eudemus and Chrysipp .

The distinction between categorical judgment and hypothetical judgment was introduced by the logicians of the Stoa and by Galen . With them and their successors, the hypothetical judgment is a composite judgment - no matter in what way - for example the judgment “p and q” ( conjunction ) or the judgment “p or q” ( disjunction ). Deviating from this usage, Immanuel Kant understands a hypothetical judgment to be a judgment composed in a certain way, namely a judgment of the form “if p, then q” ( conditional ), where p describes a condition on which q is dependent.

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  1. A. Menne et al. a .: "Relation des Judgment," in: Joachim Ritter, Karlfried Founder: Historical Dictionary of Philosophy Volume 8, Page 611