The term "Asiatic mind" is so general as to be almost meaningless.
Asia's western border is the line formed by the Ural Mountains, then the eastern shores of the Black Sea, Bosphorus, Dardanelles, Mediterranean Sea and Red Sea. Its northern border is the Arctic Ocean, western border the North Pacific Ocean and the southern border the Indian Ocean. Its south-eastern extremities get really interesting, forming a border with the Melanesian islands of New Guinea, and coming to within only a few hundred miles of the northern coastline of Australia.
Encompassed within that area is a very diverse group of peoples, very hard to generalise about. For example, the Asian continent includes the Middle East, where the Jewish people originated from (if not where most of them now live). Few would deny that the Jews have produced more than their share of innovative persons!