Based on our human sensations and perceptions of "the physical geometry of what we experience as being our ambient world", and, after a long history as an experimental science in various cultures around the globe, finally geometry was established as the central field of mathematics in the world of the Old Greeks. And still today, as such formulated by Chern in his introduction to [53]: "While algebra and analysis provide the foundations of mathematics, geometry is at the core". From Serres' "Les origines de la geometric" , in this respect we freely quote the following: "Ainsi l'elimination de ce qui cache la forme, ainsi l'exclusion de tout sujet, rendent possible une science pour l'Universel pour nous et, en rigueur et en verite, dans l'Universel en soi. Les mathematiques vinrent d'identifier l'un a l'autre." Thus being conceived in the human mind via psychologically created von Helmholtz-hypotheses about "our surrounding world and its contents", which were and are made at service to the evolution of our species and its individuals, abstract geometry was born and has grown ever since by brain-design.
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机译:基于我们的人类感觉和对“我们的身体几何形象的看法,我们的身体几何为我们的环境世界”,并且在历史悠久的历史中作为全球各种文化的实验科学,最后几何是作为数学的中央领域建立在旧希腊人的世界里。今天仍然是在他对[53]的介绍中被剔除制定的:“虽然代数和分析提供了数学的基础,但几何在核心”。来自Serres'Les Origins de la几何“,我们在这方面自由引用以下内容:”Ainsi l'消除de ce qui cache la forme,ainsi l'排除de tout sujet,可能的Une Science倒入L'Univerel倒入et,en rigueur et en真实,dans l'Univerel en Soi。Les Mathematiques Vinrent D'Identifier L'Un A Autre。“因此,通过心理创造的von亥姆霍兹 - 假设“我们周围世界及其内容”构思,这是“我们的周围世界及其内容”,它是在我们的物种及其个人的演变中进行的,抽象的几何诞生,从那时起通过脑设计。
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