An introduction to mathematics, by A. N. Whitehead.

QUANTITY 247 Our perception of the flow of time and of the succession of events is a chief example of the application of these ideas of quantity. We measure time (as has been said in considering periodicity) by the repetition of similar events-the burning of successive inches of a uniform candle, the rotation of the earth relatively to the fixed stars, the rotation of the hands of a clock are all examples of such repetitions. Events of these types take the place of the foot-rule in relation to lengths. It is not necessary to assume that events of any one of these types are exactly equal in duration at each recurrence. What is necessary is that a rule should be known which will enable us to express the relative durations of, say, two examples of some type. For example, we may if we like suppose that the rate of the earth's rotation is decreasing, so that each day is longer than the preceding by some minute fraction of a second. Such a rule enables us to compare the length of any day with that of any other day. But what is essential is that one series of repetitions, such as successive days, should be taken as the standard series; and, if the various events of that series are not taken as of equal duration, that a rule should be stated which regulates the duration to be assigned to each day in terms of the duration of any other day.

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Title
An introduction to mathematics, by A. N. Whitehead.
Author
Whitehead, Alfred North, 1861-1947.
Canvas
Page 240 - Comprehensive Index
Publication
New York,: H. Holt and company; [etc., etc.,
c1911]
Subject terms
Mathematics

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"An introduction to mathematics, by A. N. Whitehead." In the digital collection University of Michigan Historical Math Collection. https://name.umdl.umich.edu/aaw5995.0001.001. University of Michigan Library Digital Collections. Accessed April 30, 2025.
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