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and time can be conceived independently of each other; but their experiments to show it do not bear repetition. All true contraries are universals. A universal concept is one of "maximum extension," as logicians say, that is, it is without limit. The logical limitation of such a universal is not its negation, but its contrary, which is itself also a universal. The synthesis of the two can be in theory only, yet yields a real product. To illustrate this by a geometrical example, a straight line produced indefinitely is, logically considered, a universal. Its antithesis or true contrary is not a crooked line, as might be supposed, but the straight line which runs at right angles to it. Their synthesis is not the line which bisects their angle but that formed by these contraries continually uniting, that is, the arc of a circle, the genesis of which is theoretically the union of two such lines. Again, time can only be measured by space, space by time; they are true universals and contraries; their synthesis is _motion_, a conception which requires them both and is completed by them. Or again, the philosophical extremes of downright materialism and idealism are each wholly true, yet but half the truth. The insoluble enigmas that either meets in standing alone are kindred to those which puzzled the old philosophers in the sophisms relating to motion, as, for instance, that as a body cannot move where it is and still less where it is not, therefore it cannot move at all. Motion must recognise both time and space to be comprehensible. As a true contrary constantly implies the existence of its opposite, we cannot take a step in right reasoning without a full recognition of both. This relation of contraries to the higher conception which logically must include them is one of the well-worn problems of the higher metaphysics. The proper explanation would seem to be, as suggested above, that the synthesis of contraries is capable of formal expression only, but not of interpretation. In pursuing the search for their union we pass into a realm of thought not unlike that of the mathematician when he deals with hypothetical quantities, those which can only be expressed in symbols--, [square root] 1 for example,--but uses them to good purpose in reaching real results. The law does not fail, but its operations can no longer be expressed under material images. They are symbolic and for speculative thought alone, though pregnant with
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