Axiomaticism

Japanese: 公理主義 - こうりしゅぎ
Axiomaticism
The theory of mathematics is based on the idea that all theories must be established by rigorous reasoning, starting from a set of fundamental axioms. It was proposed and put into practice by the German mathematician Hilbert at the end of the 19th century. Modern mathematics is driven by this position.

Source: The Selected Edition of the Japanese Language Dictionary About the Selected Edition of the Japanese Language Dictionary Information

Japanese:
〘名〙 すべての理論は、基礎となる公理群を出発点とし、厳密な推論によって打ち立てられなければならないという主張。一九世紀末、ドイツの数学者ヒルベルトによって提唱され、実践された。現代の数学はこの立場に立って推進されている。

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