Wiktionary
n. (context logic English) A number of propositions that, together, constitute a sequence of syllogisms
Wikipedia
A polysyllogism (also called multi-premise syllogism, sorites, climax, or gradatio) is a string of any number of propositions forming together a sequence of syllogisms such that the conclusion of each syllogism, together with the next proposition, is a premise for the next, and so on. Each constituent syllogism is called a prosyllogism except the very last, because the conclusion of the last syllogism is not a premise for another syllogism.
Usage examples of "polysyllogism".
Two modes of abbreviating a Polysyllogism, are usually discussed, the Epicheirema and the Sorites.
The Sorites is a Polysyllogism in which the Conclusions, and even some of the Premises, are suppressed until the arguments end.
Epicheirema, then, is an abbreviated chain of reasoning, or Polysyllogism, comprising an Episyllogism with one or two enthymematic Prosyllogisms.