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首页> 外文期刊>Advances in Historical Studies >The Geometrical Foundation of Federigo Enriques’ Gnoseology and Epistemology
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The Geometrical Foundation of Federigo Enriques’ Gnoseology and Epistemology

机译：费德里戈·恩里克的人格学和认识论的几何基础

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The purpose of this paper is to valuate the role of geometry inside Enriques’ theory of knowledge and epistemology. Our thesis is that such a role is prominent. We offer a particular interpretation of Enriques’ gnoseology, according to which geometry is the cornerstone to fully catch also the way in which he framed his conception of the history of science, of the origin of philosophy and of mathematics’ foundations. Our argumentation is divided into three sections: in the first one, we provide the reader with Enriques’ ideas on the physiological and conceptual bases of geometry. We distinguish between the primary and the secondary intuitions and expound the role Enriques ascribes to history inside the construction of human mind. In the second section, Enriques’ idea that philosophy was born as a rational geometry is expounded. In the third section we see what foundations of mathematics means in Enriques’ speculation. The reader will be in front of a thinker, whose theories are not separated one from the other, rather they are strictly connected. Geometry is the link which ties the various parts of Enriques’ theories and contributions. The Italian mathematician was an important thinker inside the European cultural milieu oriented towards scientific philosophy. In different forms, and with different ideas, mathematicians, philosophers, scientists as Mach, Poincaré, Hilbert, Painlevé—only to mention the most famous ones— were members of such a milieu, which, between the end of the 19th century and the beginning of the first world war, hoped to construct a philosophy based on science, whose value should have not been only scientific, but socio-anthropological, as well.
机译：本文的目的是评估几何学在恩里克斯的知识论和认识论论中的作用。我们的论点是这种作用是突出的。我们对恩里克的gnoseology提供了一种特殊的解释，根据这种解释，几何学是充分抓住基石的基础，也充分体现了他对科学历史，哲学和数学基础的构想。我们的论点分为三个部分：在第一部分中，我们向读者提供了恩里克关于几何的生理学和概念学基础的观点。我们区分主要的和次要的直觉，并阐述恩里克斯在人类思想建构中赋予历史的作用。在第二部分中，阐述了恩里克（Enriques）关于哲学诞生于理性几何学的思想。在第三部分中，我们将了解数学基础对Enriques的推测的意义。读者将在思想家的面前，思想家的理论并不是彼此分离的，而是紧密相连的。几何是将恩里克的理论和贡献的各个部分联系起来的链接。这位意大利数学家是欧洲面向科学哲学的文化环境中的重要思想家。数学家，哲学家，马赫（Mach），庞加莱（Poincaré），希尔伯特（Hilbert），潘内列夫（Painlevé）等科学家以不同的形式和思想（都是最著名的）是这种环境的成员，该环境在19世纪末至初第一次世界大战期间，他希望建立一种基于科学的哲学，其价值不仅应该是科学的，而且还应该是社会人类学的。

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