Polysyllogism Knowpia

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 last, because the conclusion of the last syllogism is not a premise for another syllogism.

Example edit

An example for a polysyllogism is:

It is raining.

If we go out while it is raining we will get wet.

If we get wet, we will get cold.

Therefore, if we go out we will get cold.

Examination of the structure of the argument reveals the following sequence of constituent (pro)syllogisms:

It is raining.

If we go out while it is raining we will get wet.

Therefore, if we go out we will get wet.

If we go out we will get wet.

If we get wet, we will get cold.

Therefore, if we go out we will get cold.

Sorites edit

A sorites (plural: sorites) is a specific kind of polysyllogism in which the predicate of each proposition is the subject of the next premise. Example:

All lions are big cats.

All big cats are predators.

All predators are carnivores.

Therefore, all lions are carnivores.

The word sorites /sɒˈraɪtiːz/ comes from Ancient Greek: σωρίτης, heaped up, from σωρός heap or pile. Thus a sorites is a heap of propositions chained together. A sorites polysyllogism should not be confused with the sorites paradox, a.k.a. the fallacy of the heap.