[1954]. A great deal of misunderstanding is avoided if it be remembered that the terms infinity, infinite, zero, infinitesimal must be interpreted in connexion with their context, and admit a variety of meanings according to the way in which they are defined.—Mathews, G. B.
Theory of Numbers (Cambridge, 1892), Part 1, sect. 104.
[1955]. This further is observable in number, that it is that which the mind makes use of in measuring all things that by us are measurable, which principally are expansion and duration; and our idea of infinity, even when applied to those, seems to be nothing but the infinity of number. For what else are our ideas of Eternity and Immensity, but the repeated additions of certain ideas of imagined parts of duration and expansion, with the infinity of number; in which we can come to no end of addition?—Locke, John.
An Essay concerning Human Understanding, Bk. 2, chap. 16, sect. 8.
[1956]. But of all other ideas, it is number, which I think furnishes us with the clearest and most distinct idea of infinity we are capable of.—Locke, John.
An Essay concerning Human Understanding, Bk. 2, chap. 17, sect. 9.
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