The Crisis of Logic and the (In)stability of Science

Paolo Colizzi
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Abstract

The purpose of this paper is 1) to focus on the last section of the In Parmenidem, analyzing Proclus’ reflection on the relationship between the First God and what he calls the “axioms of contradiction”, accompanied by an attempt to harmonize in a subordinate sense the Aristotelian perspective with the Platonic one; 2) to analyze the reception of this idea in Nicholas of Cusa, the first Latin author to be systematically influenced by the In Parmenidem. It will be possible to show how Cusanus develops a perspective that, on the one hand, finds its explicit antecedent in Proclus and, on the other, how he radicalizes Proclus’ perspective, developing theoretical tensions that we can find unsystematically in Proclus’ own thought. Proclus is aware that the Principle of all reality—and of science itself—must be conceived as in itself unknowable. At the same time, he seeks to save the ability of human knowledge to describe reality. Starting from an idea of the relationship between God and the laws of contradiction close to that of Proclus, Cusanus develops an epistemology that, on the one hand, recognizes the principle of contradiction as the ultimate principle of reason and, on the other hand, comes to the conclusion of a separation between thought and reality outside thought.
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逻辑危机与科学的(不)稳定性
本文的目的是:1)集中讨论《在帕门尼德》的最后一节,分析普罗克洛斯对第一神和他所谓的 "矛盾公理 "之间关系的思考,同时试图在从属意义上协调亚里士多德的观点和柏拉图的观点;2)分析库萨的尼古拉斯对这一思想的接受,他是第一位系统地受到《在帕门尼德》影响的拉丁作家。这将有可能说明库萨纽斯是如何发展一种观点的,这种观点一方面在普罗克洛斯那里找到了明确的前身,另一方面,他又是如何激进化普罗克洛斯的观点的,发展了我们可以在普罗克洛斯自己的思想中找到的非系统性的理论张力。普罗克洛斯意识到,所有现实的原理--科学本身--必须被视为本身是不可知的。同时,他又试图挽救人类知识描述现实的能力。库萨努斯从与普罗克洛斯相近的关于上帝与矛盾律之间关系的观点出发,发展了一种认识论,一方面承认矛盾原则是理性的终极原则,另一方面得出了思想与思想之外的现实相分离的结论。
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