Pythagoras, from what I understand, is considered the origin of
Geometry and Logic.
[I should have been specific and said Geometry first and not
Mathematics.]
He started the axioms and proofs system, used by both.
So while Mathematics may have diverged and become impure...
considering Logic and Geometry are born of the same Father,
would not a flaw in Geometry also carry directly into being a
flaw of Logic?
This would not be a fallacy of composition as they were born
simultaneously superimposed as one and initially inseparable.