The Grammar of Science

Cover The Grammar of Science
The Grammar of Science
Karl Pearson
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The globe will bear to that a ratio infinitely SPACE AND TIME* 189 less than that which the water in a single drop of dew bears to the water in the whole Atlantic Ocean. " 1 To speak of the mode in which we perceive co- existing phenomena as an abyss of appalling depth is perhaps rather meaningless phraseology ; but the statement that infinite space contains more than our finite capacity can imagine is hopelessly misleading. In the first place, the space of our perceptions, the space in which w...e discriminate phenomena, is not infinite : it is exactly commensurate with the contents of that finite capacity we term our per- ceptive faculty. In the second place, if by " all the objects which our finite capacities can imagine " the author means conceptions and not perceptions, he is confusing two different things space, as the order of real coexisting phenomena, what we may term real space, and the space of our thought, the conceptual space of geometry, what we may term ideal space. This latter, as we shall see in the sequel, may be conceived as either finite or infinite, although a limited portion of ideal infinite space describes most easily the real space of our perceptions.

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