Mathematical Truth is the Unity of Discovery and Invention——With Galois Group Theory as an Example
LI Qing-yan · Yinshan Academic Journal · 2010
In the early nineteenth century, by proving there is not a radical solution of the general equation , Galois established group theory with which profound mathematical language tcould describe the basic concept of symmetry made the algebra into a new era. The article besed on the birth of Galois theory thinking the Earlier, after philosophy of mathematics, that: pure mathematics is not entirely free invention, the construction of mathematical objects has their history of mathematics and Abstract structure of the source, and mathematical problem is to deal with the needs of nature and The ultimate measure of the various conventions. New concept in the context of the specific context, mathematical truth is discovered and the unity of invention.