The MANY in the Ancient Greek Philosophy
The logic of Pythagoreans – MANY:
The side A of a square and its diagonal C are commensurable, and CC  2AA.
Pythagoras’ theory:
The side A of a square and its diagonal C are incommensurable, and CC  2AA.
Parmenides had made his Moving Arrow Proof to counter the MANY.
(Parmenides’ Moving Arrow Proof was different with Zeno’s Arrow Paradox.)
(Aristotle thought that CC  2AA means A  A, while CC  2AA means A  A.)
Aristotle made the law of identity “A  A” to counter the MANY.