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

‘Mathematical Reasoning’ (pub. 28.09.14-17:42). 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-lowell-lectures-1903-lecture-3-1.

Term:

Mathematical Reasoning

Quote:

…a necessary reasoning is one which *would* follow under all circumstances, whether you are talking about the real world or the world of the Arabian Nights’ or what. And that precisely defines mathematical reasoning. It is true that a *distinctly* mathematical reasoning is one that is so intricate that we need some kind of diagram to follow it out. But something of the nature of a diagram, be it only an imaginary skeleton proposition, or even a mere noun with the ideas of its application and signification[,] is needed in all necessary reasoning.

Source:

Peirce, C. S. (1903). *Lowell Lectures. 1903. Lecture 3*. MS [R] 459.

References:

MS [R] 459:10-11

Date of Quote:

1903

URL:

http://www.commens.org/dictionary/entry/quote-lowell-lectures-1903-lecture-3-1