Published on *Commens* (http://www.commens.org)

‘Theorem’ (pub. 13.10.15-18:14). Quote in M. Bergman & S. Paavola (Eds.), *The Commens Dictionary: Peirce's Terms in His Own Words. New Edition*. Retrieved from http://www.commens.org/dictionary/entry/quote-some-amazing-mazes-1.

Term:

Theorem

Quote:

I shall term the step of so introducing into a demonstration a new idea not explicitly or directly contained in the premisses of the reasoning or in the condition of the proposition which gets proved by the aid of this introduction, a theoric step. [—] Now to propositions which can only be proved by the aid of theoric steps (or which, at any rate, could *hardly* otherwise be proved), I propose to restrict the application of the hitherto vague word “*theorem*,” calling all others, which are deducible from their premisses by the general principles of logic, by the name of *corollaries*.

Source:

Peirce, C. S. (1908). Some Amazing Mazes. *The Monist*, *18*, 227-241.

References:

CP 4.613

Date of Quote:

1908

URL:

http://www.commens.org/dictionary/entry/quote-some-amazing-mazes-1