(2) These men are Persians.
The Sorites.
§ 807. The Sorites is the neatest and most compendious form that can be assumed by a train of reasoning.
§ 808. It is sometimes more appropriately called the chain-argument, and map be defined as—
A train of reasoning, in which one premiss of each epi-syllogism is
supported by a pro-syllogism, the other being taken for granted.
This is its inner essence.
§ 809. In its outward form it may be described as—A series of propositions, each of which has one term in common with that which preceded it, while in the conclusion one of the terms in the last proposition becomes either subject or predicate to one of the terms in the first.
§ 810. A sorites may be either—
(1) Progressive,
or (2) Regressive.