论文标题

适当人类数学的本质

The nature of properly human mathematics

论文作者

Ruelle, David

论文摘要

我们声称人类数学只是所选基本公理的后果的有限部分。适当的人类数学随时间而变化,但似乎具有我们尝试分析的通用特征。特别是人脑特权概念命名和简短配方的功能。这导致在结构上组织数学知识。我们简要考虑非数学科学的问题。

We claim that human mathematics is only a limited part of the consequences of the chosen basic axioms. Properly human mathematics varies with time but appears to have universal features which we try to analyze. In particular the functioning of the human brain privileges concept naming and short formulations. This leads to organizing mathematical knowledge structurally. We consider briefly the problem of non-mathematical sciences.

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