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Commens
Digital Companion to C. S. Peirce
‘Multitude’ (pub. 11.08.17-15:00). 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-multitude-mathematics.
Term: 
Multitude
Quote: 

Multitude (in mathematics) [Lat. multitudo]: Ger. Mächtigkeit, Cardinalzahl; Fr. puissance; Ital. moltitudine. That relative character of a collection which makes it greater than some collections and less than others. A collection, say that of the A’s, is greater than another, say that of the B’s, if, and only if, it is impossible that there should be any relation r, such that every A stands in the relation r to a B to which no other A is in the relation r.

Source: 
Peirce, C. S. (1902). Multitude (in mathematics). In J. M. Baldwin (Ed.), Dictionary of Philosophy and Psychology, Vol. II (pp. 117-118). London: Macmillan and Co.
References: 
DPP 2:117; CP 3.626
Date of Quote: 
1902
URL: 

http://www.commens.org/dictionary/entry/quote-multitude-mathematics