“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.”
The Law of Mind (1892)
Context: 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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Charles Sanders Peirce 121
American philosopher, logician, mathematician, and scientist 1839–1914Related quotes

A Plea for Time (1950), a paper presented at the University of New Brunswick, published in The Bias of Communication (1951) p. 64.
The Bias of Communication (1951)

“We ourselves become the bridges out over the interval that is the world and time.”
Source: The Flame is Green (1971), Ch. 9 : Oh, The Steep Roofs of Paris
Context: We ourselves become the bridges out over the interval that is the world and time. It is a daring thing to fling ourselves out over that void that is black and scarlet below and green and gold above. A bridge does not abandon its first shore when it grows out in spans towards the further one.

Source: The Nature of the Physical World (1928), Ch. 13 : Reality

Source: Essays in the Philosophy of Language, 1967, p. 20-21

Opera Omnia, ser. 1, vol. 2, p. 459 Spcimen de usu observationum in mathesi pura, as quoted by George Pólya, Induction and Analogy in Mathematics Vol. 1, Mathematics and Plausible Reasoning (1954)
Context: It will seem a little paradoxical to ascribe a great importance to observations even in that part of the mathematical sciences which is usually called Pure Mathematics, since the current opinion is that observations are restricted to physical objects that make impression on the senses. As we must refer the numbers to the pure intellect alone, we can hardly understand how observations and quasi-experiments can be of use in investigating the nature of numbers. Yet, in fact, as I shall show here with very good reasons, the properties of the numbers known today have been mostly discovered by observation, and discovered long before their truth has been confirmed by rigid demonstrations. There are many properties of the numbers with which we are well acquainted, but which we are not yet able to prove; only observations have led us to their knowledge. Hence we see that in the theory of numbers, which is still very imperfect, we can place our highest hopes in observations; they will lead us continually to new properties which we shall endeavor to prove afterwards. The kind of knowledge which is supported only by observations and is not yet proved must be carefully distinguished from the truth; it is gained by induction, as we usually say. Yet we have seen cases in which mere induction led to error. Therefore, we should take great care not to accept as true such properties of the numbers which we have discovered by observation and which are supported by induction alone. Indeed, we should use such discovery as an opportunity to investigate more exactly the properties discovered and to prove or disprove them; in both cases we may learn something useful.
Anatol Rapoport, "Modern Systems Theory – An Outlook for Coping with Change", paper given in the 1970 John Umstead Distinguished Lectures at North Carolina Department of Mental Health, Research Division, on 5 February 1970, and appeared in Revue Francaise de Sociologie, October 1969, p. 16
1970s and later
Diederik Aerts (2001) " Time, space and reality : an analysis from physics. http://www.vub.ac.be/CLEA/aerts/publications/2001TimeSpaceReality.pdf"

Source: The Science of Rights 1796, P. 173-175