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Commens
Digital Companion to C. S. Peirce
‘Continuum’ (pub. 30.03.15-17:49). 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-synechism-0.
Term: 
Continuum
Quote: 

A true continuum is something whose possibilities of determination no multitude of individuals can exhaust. Thus, no collection of points placed upon a truly continuous line can fill the line so as to leave no room for others, although that collection had a point for every value towards which numbers, endlessly continued into the decimal places, could approximate; nor if it contained a point for every possible permutation of all such values.

Source: 
Peirce, C. S. (1902). Synechism. In J. M. Baldwin (Ed.), Dictionary of Philosophy and Psychology, Vol. II (pp. 657). London: Macmillan and Co.
References: 
DPP 2:657; CP 6.170
Date of Quote: 
1902
URL: 

http://www.commens.org/dictionary/entry/quote-synechism-0