marks and images of the truth of intelligible objects appear, but in
geometry chiefly; which, according to Philo, is the chief and principal
of all, and doth bring back and turn the understanding, as it were,
purged and gently loosened from sense. And therefore Plato himself
dislikes Eudoxus, Archytas, and Menaechmus for endeavoring to bring down
the doubling the cube to mechanical operations; for by this means all
that was good in geometry would be lost and corrupted, it falling
back again to sensible things, and not rising upward and considering
immaterial and immortal images, in which God being versed is always God.
After Tyndares, Florus, a companion of his, and who always jocosely
pretended to be his admirer, said thus: Sir, we are obliged to you for
making your discourse not proper to yourself, but common to us all; for
you have made it possible to disprove it by demonstrating that geometry
is not necessary to the gods, but to us. Now the deity doth not stand in
need of science, as an instrument to withdraw his intellect from things
created and to turn it to the real things; for these are all in him,
with him, and about him. But pray consider whether Plato, though you
do not apprehend it, doth not intimate something that is proper and
peculiar to you, mixing Lycurgus with Socrates, as much as Dicaearchus
thought he did Pythagoras. For Lycurgus, I suppose you know, banished
out of Sparta all arithmetical proportion, as being democratical and
favoring the crowd; but introduced the geometrical, as agreeable to an
oligarchy and kingly government that rules by law; for the former gives
an equal share to every one according to number, but the other gives
according to the proportion of the deserts. It doth not huddle all
things together, but in it there is a fair discretion of good and
bad, every one having what is fit for him, not by lot or weight, but
according as he is virtuous or vicious. The same proportion, my dear
Tyndares, God introduceth, which is called [Greek omitted] and [Greek
omitted], and which teacheth us to account that which is just equal, and
not that which is equal just. For that equality which many affect, being
often the greatest injustice, God, as much as possible, takes away; and
useth that proportion which respects every man's deserts, geometrically
defining it according to law and reason.
Public-domain text, read in full here on John Shaqi.
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