Now if we are to accept the common idea of continuity . . . we must either say that a continuous line contains no points or . . . that the principle of excluded middle does not hold of these points. The principle of excluded middle applies only to an individual . . . but places being mere possibilities without actual existence are not individuals.
American philosopher, logician, mathematician, and scientist (1839-1914)
Charles Sanders Peirce [pronounced like purse] (10 September 1839 – 19 April 1914) was an American philosopher, chemist and polymath, who is now remembered as a pioneer of the field of semiotics and, with the formulation of the pragmatic maxim, the founder of the philosophies of Pragmatism and Pragmaticism. He was the son of the mathematician Benjamin Peirce.
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