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A Philosophical Path from Königsberg to Kyoto
Sophia ( IF 0.5 ) Pub Date : 2020-07-23 , DOI: 10.1007/s11841-020-00776-7
Rossella Lupacchini

Mathematics is the science of the infinite, its goal the symbolic comprehension of the infinite with human, that is finite, means.’ Along this line, in The Open World, Hermann Weyl contrasted the desire to make the infinite accessible through finite processes, which underlies any theoretical investigation of reality, with the intuitive feeling for the infinite ‘peculiar to the Orient,’ which remains ‘indifferent to the concrete manifold of reality.’ But a critical analysis may acknowledge a valuable dialectical opposition. Struggling to spell out the infinity of real numbers mathematicians come to see the active role of emptiness. Pondering over the essence of self-awareness, the Japanese philosopher Nishida Kitarō comes to see the ‘place’ where it abides as absolute nothingness. Thus, the two ways of seeing coalesce into a perspective in which infinity and nothingness mirror each other.



中文翻译:

从柯尼斯堡到京都的哲学之路

数学是关于无限的科学,它的目标是人类对无限的象征性理解,即有限的手段。” 沿着这条线,在《开放世界》中,赫尔曼·外尔将通过有限过程使无限变得可接近的愿望(这是对现实的任何理论研究的基础)与对无限“东方特有”的直觉感觉进行了对比,这种感觉仍然“无动于衷”。现实的具体流形。但批判性分析可能承认有价值的辩证对立。努力拼出实数的无穷大数学家们开始看到空性积极作用. 思考自我意识的本质,日本哲学家西田喜太郎开始将自我存在的“地方”视为绝对的虚无。因此,两种看待事物的方式融合成无限与虚无相互映照的视角。

更新日期:2020-07-23
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