Polysyllogism

Each constituent syllogism is called a prosyllogism except the last, because the conclusion of the last syllogism is not a premise for another syllogism.

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.

 

Look up sorites in Wiktionary, the free dictionary.

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.

Lewis Carroll uses sorites in his book Symbolic Logic (1896). For example:

No experienced person is incompetent;
Jenkins is always blundering;
No competent person is always blundering.
Jenkins is inexperienced.

Carroll's example may be translated thus:

All experienced persons are competent persons.
No competent persons are blunderers.
Jenkins is a blunderer.
Jenkins is not an experienced person.

• Anadiplosis - the rhetorical grounds of polysyllogism.
• Transitive relation
• Type of syllogism (disjunctive, hypothetical, legal, poly-, prosleptic, quasi-, statistical)

• B. P. Bairan. An Introduction to Syllogistic Logic. Goodwill Trading. p. 342. ISBN 971-574-094-4.