The Commens Dictionary

Quote from ‘Carnegie Institution Correspondence’


Imagine, for example, an endless succession of objects. [—] Yet this proof will rest on some proposition which is simply self evident. But as long as one only has the idea of simple endless series, one may think forever, and not discover the theorem, until something suggests that other idea to the mind. What I call the theorematic reasoning in mathematics consists in so introducing a foreign idea, using it, and finally deducing a conclusion from which it is eliminated.

NEM 4:42
‘Theorematic Reasoning’ (pub. 06.01.13-12:18). Quote in M. Bergman & S. Paavola (Eds.), The Commens Dictionary: Peirce's Terms in His Own Words. New Edition. Retrieved from
Jan 06, 2013, 12:18 by Sami Paavola
Last revised: 
Jan 07, 2014, 01:01 by Commens Admin