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.