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The excerpt represents the core issue or deciding factor on which you must meditate, and is drawn from The Republic by Plato: numbers, the images of which are taken not from the shadows, but from the
objects, although the truth of them is seen only with the mind's eye; and
they are used as hypotheses without being analysed. Whereas in the other
division reason uses the hypotheses as stages or steps in the ascent to the
idea of good, to which she fastens them, and then again descends, walking
firmly in the region of ideas, and of ideas only, in her ascent as well as
descent, and finally resting in them. 'I partly understand,' he replied;
'you mean that the ideas of science are superior to the hypothetical,
metaphorical conceptions of geometry and the other arts or sciences,
whichever is to be the name of them; and the latter conceptions you refuse
to make subjects of pure intellect, because they have no first principle,
The Republic |
