I don't know, I think that dismissing Diophantus or the Greeks as not being modern enough is a bit strange. After all, we still use the exact algorithm as Eucli

I don't know, I think that dismissing Diophantus or the Greeks as not being modern enough is a bit strange. After all, we still use the exact algorithm as Euclid for finding gcds. We simply don't state it in geometric terms like he did. I suppose if by modern mathematics one means algebra, then it's fair to place it somewhere in the 12th century.