The Elements of Intellectual Science a Manual for Schools And Colleges Abridged
The Elements of Intellectual Science a Manual for Schools And Colleges Abridged
Porter, Noah, 1811-1892
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It is creative, because there is no counterpart in nature from which its objects and products are literally transcribed or copied. But this is not all. The reason and the feelings are conspicuous, and both rational and emotional relations are recognized and controlling. The creative function is rendered possible by the union of the thinking power with thq imaging power ; the joint action of both resulting in those ideal products which address the intellectual and emotional nature. The ideals of... the mathematical imagination are only possible when the imagination has been disciplined: by thought. One chalk or pencil line is narrower than another, one of the lami iia3 of mica is thinner than another. As we divide these lines and cleave off these laminae, we seem to approximate to the ideal line and the ideal surface, simply because the senses and the 182. REPRESENTATION. THE IMAGINATION. 305 imagination are less distracted and occupied with sense or imaged properties. The imagination selects, therefore, the line or sur- face whose thickness is least obvious to the senses, to suggest or represent the sole relation to space with which the intellect is for the moment concerned ; or, which is even more satisfactory, it takes for a point an object whose dimensions are the smallest dis- cernible to the senses or picturable to the imagination, and con- siders it simply as moved or movable directly to another point like itself, and thus constructs in the imagination the mathemati- cal line.
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