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mathematical practice : ウィキペディア英語版
mathematical practice

Mathematical practice is used to distinguish the working practices of professional mathematicians (e.g. selecting theorems to prove, using informal notations to persuade themselves and others that various steps in the final proof can be formalised, and seeking peer review and publication) from the end result of proven and published theorems.
==Quasi-empiricism==

This distinction is considered especially important by adherents of quasi-empiricism in mathematics, which denies the possibility of foundations of mathematics and attempts to refocus attention on the ways in which mathematicians arrive at mathematical statements.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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