Rui Li
From Euclid's "Elements of Geometry" to Hilbert's "Fundamentals of Geometry", and then to the study of mathematical foundations, people have put forward higher requirements for the rigor of mathematics. The evolution and improvement of axiomatic methods are concrete manifestations of mathematical rigor, which is a requirement for the development of mathematics itself. Excessive pursuit of mathematical rigor has had a significant impact on mathematical education:The relationship between mathematics and practice is artificially separated, the role of the history of mathematics is neglected while the logical factor is emphasized, the result content is emphasized, and the process knowledge is neglected.
Axiomatic Method; Rigor; History Of Mathematics; Logic