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polysyllogism

[pol-ee-sil-uh-jiz-uh m]
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noun Logic.
  1. an argument made up of a chain of syllogisms, the conclusion of each being a premise of the one following, until the last one.

Origin of polysyllogism

First recorded in 1830–40; poly- + syllogism
Related formspol·y·syl·lo·gis·tic, adjective
Dictionary.com Unabridged Based on the Random House Unabridged Dictionary, © Random House, Inc. 2018
British Dictionary definitions for poly-syllogism

polysyllogism

noun
  1. a chain of syllogisms in which the conclusion of one syllogism serves as a premise for the next
Collins English Dictionary - Complete & Unabridged 2012 Digital Edition © William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009, 2012