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Charles Sanders Peirce

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The first character of a general idea so resulting is that it is living feeling. A continuum of this feeling, infinitesimal in duration, but still embracing innumerable parts, and also, though infinitesimal, entirely unlimited, is immediately present. And in its absence of boundedness a vague possibility of more than is present is directly felt.

 
Charles Sanders Peirce

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Accordingly, time logically supposes a continuous range of intensity of feeling. It follows then, from the definition of continuity, that when any particular kind of feeling is present, an infinitesimal continuum of all feelings differing infinitesimally from that, is present.

 
Charles Sanders Peirce
 

Suppose a surface to be part red and part blue; so that every point on it is either red or blue, and of course, no part can be both red and blue. What then, is the color of the surface in the immediate neighborhood of the point. ...it follows that the boundary is half red and half blue. In like manner, we find it necessary to hold that consciousness essentially occupies time... Thus, the present is half past and half time to come. ...Take another case: the velocity of a particle at any instant of time is its mean velocity during an infinitesimal instant in which that time is consumed. Just so, my immediate feeling is my feeling through an infinitesimal duration containing the present instant.

 
Charles Sanders Peirce
 

But if ether is nothing but an hypothesis explanatory of light, air on the other hand, is a thing that is directly felt; and even if it did not enable us to explain the phenomenon of sound, we should nevertheless always be directly aware of it, and above all, of the lack of it in moments of suffocation or air-hunger. And in the same way God Himself, not the idea of God, may become a reality that is immediately felt; and even though the idea of God does not enable us to explain either the existence or essence of the Universe, we have at times the direct feeling of God, above all in moments of spiritual suffocation. And the feeling, mark it well, for all that is tragic in it and the whole tragic sense of life is founded upon this — this feeling is a feeling of hunger for God, of the lack of God. To believe in God is, in the first instance... to wish that there may be a God, to be unable to live without Him.

 
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Third, these general ideas are not mere words, nor do they consist in this, that certain concrete facts will every time happen under certain descriptions of conditions; but they are just as much, or rather far more, living realities than the feelings themselves out of which they are concreted. And to say that mental phenomenon are governed by law does not mean merely that they are describable by a general formula; but that there is a living idea, a conscious continuum of feeling which pervades them, and to which they are docile.

 
Charles Sanders Peirce
 

How can a past idea be present?... it can only be going, infinitesimally past, less past than any assignable past date. We are thus brought to the conclusion that the present is connected to the past by a series of real infinitesimal steps.

 
Charles Sanders Peirce
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