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le photographic views; concrete thickness escapes them. However exact, varied, or numerous we suppose them, they can certainly recall their object, but not reveal it to any one who had not had any direct intuition of it. Nothing is easier than to trace the plan of a body in four dimensions; all the same, this drawing does not admit "visualisation in space" as is the case with ordinary bodies, for want of a previous intuition which it would awaken: thus it is with concepts in relation to reality. Like photographs and like plans, they are extracted from reality, but we are not able to say that they were contained in it; and many of them besides are not so much as extracts; they are simple systematised notes, in fact, notes made upon notes. In other terms, concepts do not represent pieces, parts, or elements of reality. Literally they are nothing but simple symbolic notations. To wish to make integral factors of them would be as strange an illusion as that of seeing in the co-ordinates of a geometric point the constitutive essence of that point. We do not make things with symbols, any more than we should reconstruct a picture with the qualifications which classify it. Whence, then, comes the natural inclination of thought towards the concept? From the fact that thought delights in artifices which facilitate analysis and language. The first of these artifices is that from which results the possibility of decomposition or recomposition according to arbitrary laws. For that we need a previous substitution of symbols for things. Nothing demonstrates this better than the celebrated arguments which we owe to Zeno of Elea. Mr Bergson returns to the discussion of them over and over again. ("Essay on the Immediate Data", pages 85-86; "Matter and Memory", pages 211-213, "Creative Evolution", pages 333-337.) The nerve of the reasoning there consists in the evident absurdity there would be in conceiving an inexhaustible exhausted, an unachievable achieved; in short, a total actually completed, and yet obtained by the successive addition of an infinite number of terms. But the question is to know whether a movement can be considered as a numerical multiplicity. Virtual divisibility there is, no doubt, but not actual division; divisibility is indefinite, whereas an actual division, if it respects the inner articulations of reality, is bound to halt at a limited number of phases. What we divide and measure is the track of the
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