142. We must look, then, for other evidence. From what has been said, it
will be clear that we cannot safely take Plato as our guide to the
original meaning of the Pythagorean theory, though it is certainly from
him alone that we can learn to regard it sympathetically. Aristotle, on
the other hand, was quite out of sympathy with Pythagorean ways of
thinking, but took a great deal of pains to understand them. This was
just because they played so great a part in the philosophy of Plato and
his successors, and he had to make the relation of the two doctrines as
clear as he could to himself and his disciples. What we have to do,
then, is to interpret what Aristotle tells us in the spirit of Plato,
and then to consider how the doctrine we arrive at in this way is
related to the systems which had preceded it. It is a delicate
operation, no doubt, but it has been made much safer by recent
discoveries in the early history of mathematics and medicine.
Zeller has cleared the ground by eliminating the purely Platonic
elements which have crept into later accounts of the system. These are
of two kinds. First of all, we have genuine Academic formulae, such as
the identification of the Limit and the Unlimited with the One and the
Indeterminate Dyad;[768] and secondly, there is the Neoplatonic doctrine
which represents it as an opposition between God and Matter.[769] It is
not necessary to repeat Zeller’s arguments here, as no one will any
longer attribute these doctrines to the Pythagoreans of the fifth
century.
Footnote 768:
Aristotle says distinctly (_Met._ Α, 6. 987 b 25) that “to set up a
dyad instead of the unlimited regarded as one, and to make the
unlimited consist of the great and small, is distinctive of Plato.”
Zeller seems to make an unnecessary concession with regard to this
passage (p. 368, n. 2; Eng. trans. p. 396, n. 1).
Footnote 769:
Zeller, p. 369 sqq. (Eng. trans. p. 397 sqq.).
Public-domain text, read in full here on John Shaqi.
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