“数学是无限的逻辑”:Zermelo的无限逻辑计划

Q3 Arts and Humanities

Studies in Logic, Grammar and Rhetoric Pub Date : 2021-12-01 DOI:10.2478/slgr-2021-0042

J. Pogonowski

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引用次数: 0

摘要

本文讨论了恩斯特·策梅洛关于发展无限逻辑系统的可能性的思想，在他看来，无限逻辑系统应该适合于数学推理。Zermelo的思想的介绍伴随着一些关于无限逻辑发展的评论。我还强调一个事实，即Zermelo在1930年提出的集合论的第二次公理化涉及到一种非常特殊的极值公理的使用

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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“Mathematics is the Logic of the Infinite”: Zermelo’s Project of Infinitary Logic

Abstract In this paper I discuss Ernst Zermelo’s ideas concerning the possibility of developing a system of infinitary logic that, in his opinion, should be suitable for mathematical inferences. The presentation of Zermelo’s ideas is accompanied with some remarks concerning the development of infinitary logic. I also stress the fact that the second axiomatization of set theory provided by Zermelo in 1930 involved the use of extremal axioms of a very specific sort.1

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来源期刊

Studies in Logic, Grammar and Rhetoric Arts and Humanities-Philosophy

CiteScore

0.40

自引率

0.00%

发文量

审稿时长

6 weeks