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 … - Charles Sanders Peirce

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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.

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About Charles Sanders Peirce

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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Also Known As

Alternative Names: Charles Peirce Charles S. Peirce Charles Sanders Santiago Peirce CSP
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Additional quotes by Charles Sanders Peirce

One of the most marked features about the law of mind is that it makes time to have a definite direction of flow from past to future. ...This makes one of the great contrasts between the law of mind and the law of physical force, where there is no more distinction between the two opposite directions in time than between moving northward and moving southward.

Our whole past experience is continually in our consciousness, though most of it sunk to a great depth of dimness. I think of consciousness as a bottomless lake whose waters seem transparent, yet into which we can clearly see but a little way.

Consciousness must essentially cover an interval of time; for if it did not, we could gain no knowledge of time, and not merely no veracious cognition of it, but no conception whatever. We are therefore, forced to say that we are immediately conscious through an infinitesimal interval of time.

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