Abstract
When discussing ancient mathematical theories, scholars often limit themselves to Greek mathematics and, especially to its axiomatic system, which they use as the standard to evaluate traditional mathematics in other cultures: whichever failed to form an axiomatic system is considered to be without theory. Therefore, even those scholars who highly praise the achievements in ancient Chinese mathematics consider that “the greatest deficiency in old Chinese mathematical thought was the absence of the idea of rigorous proofs” and that there is no formal logic in ancient Chinese mathematics; in particular it did not have deductive logic. They further contend that, “in the flight from practice into the realm of pure intellect, Chinese mathematics did not participate,” [5, p. 151] and conclude that Chinese mathematics has no theory.
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