库尔特gÖdel逻辑,神学和物理二律背反

Tim Lethen
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引用次数: 1

摘要

本文介绍了库尔特Gödel迄今未发表的关于逻辑、认识论、神学和物理二律背反的著作,他通常认为这是“现代逻辑中最有趣的事实”,并将其作为他著名的元数学结果的基础。在考察了对二律背反的逻辑结构概念的不同观点,并提出了两个“内涵的二律背反”之后,引入了一种与Gödel关于上帝存在的本体论证明密切相关的新悖论,并通过进一步的神学二律背反的汇编来完成。最后,在介绍了关于二律背反的未发表的一般哲学评论之后,Gödel对莱布尼茨在量子力学基础笔记中发现的一元论的类型论变体进行了检查。这里展示的大部分材料都是第一次从Gabelsberger速记系统中转录出来的。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
KURT GÖDEL ON LOGICAL, THEOLOGICAL, AND PHYSICAL ANTINOMIES
Abstract This paper presents hitherto unpublished writings of Kurt Gödel concerning logical, epistemological, theological, and physical antinomies, which he generally considered as “the most interesting facts in modern logic,” and which he used as a basis for his famous metamathematical results. After investigating different perspectives on the notion of the logical structure of the antinomies and presenting two “antinomies of the intensional,” a new kind of paradox closely related to Gödel’s ontological proof for the existence of God is introduced and completed by a compilation of further theological antinomies. Finally, after a presentation of unpublished general philosophical remarks concerning the antinomies, Gödel’s type-theoretic variant of Leibniz’ Monadology, discovered in his notes on the foundations of quantum mechanics, is examined. Most of the material presented here has been transcribed from the Gabelsberger shorthand system for the first time.
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