Meaning of polysyllogism

pol•y•syl•lo•gism

Pronunciation: (pol"ē-sil'u-jiz"um), [key]
— n. 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.
Random House Unabridged Dictionary, Copyright © 1997, by Random House, Inc., on Infoplease.