The problem with a lot of the ancient sources is the lack of proofs. What I am arguing is that lack of proofs in ancient mathematical texts doesn't mean that it is all bunkum, and the authors did not know what they were talking about.

I am not talking cultural relativism or "social science is a science" relativism.

Again, another example: Euler is the father of modern analysis, through his "Analysis of the Infinite" [1]. None of his proofs are rigorous according to modern standards. Do you think Feynman would've called Euler a fool?

[1] http://www.maa.org/press/periodicals/convergence/mathematica...