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. Yet how are we to believe in these things? It is
not reasonable even to suppose such a body immovable, but to suppose
it moving is quite impossible.-And similarly with the things of
which optics and mathematical harmonics treat; for these also cannot
exist apart from the sensible things, for the same reasons. For if
there are sensible things and sensations intermediate between Form and
individual, evidently there will also be animals intermediate
between animals-themselves and the perishable animals.-We might also
raise the question, with reference to which kind of existing things we
must look for these sciences of intermediates. If geometry is to
differ from mensuration only in this, that the latter deals with
things that we perceive, and the former with things that are not
perceptible, evidently there will also be a science other than
medicine, intermediate between medical-science-itself and this
individual medical science, and so with each of the other sciences.
Yet how is this possible? There would have to be also healthy things
besides the perceptible healthy things and the healthy-itself.--And at
the same time not even this is true, that mensuration deals with
perceptible and perishable magnitudes; for then it would have perished
when they perished.
But on the other hand astronomy cannot be dealing with perceptible
magnitudes nor with this heaven above us. For neither are
perceptible lines such lines as the geometer speaks of (for no
perceptible thing is straight or round in the way in which he
defines 'straight' and 'round'; for a hoop touches a straight edge not
at a point, but as Protagoras used to say it did, in his refutation of
the geometers), nor are the movements and spiral orbits in the heavens
like those of which astronomy treats, nor have geometrical points
the same nature as the actual stars
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