Early history of the Generalized Continuum Hypothesis: 1878 - 1938

IF 0.7 3区数学 Q1 LOGIC

Bulletin of Symbolic Logic Pub Date : 2011-12-01 DOI:10.2178/BSL/1318855631

Gregory H. Moore

引用次数: 12

Abstract

This paper explores how the Generalized Continuum Hypothesis (GCH) arose from Cantor's Continuum Hypothesis in the work of Peirce, Jourdain, Hausdorff, Tarski, and how GCH was used up to Godel's relative consistency result.

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广义连续统假说的早期历史:1878 - 1938

本文探讨了在Peirce, Jourdain, Hausdorff, Tarski的工作中，广义连续统假设(GCH)是如何从Cantor的连续统假设中产生的，以及GCH是如何被用于哥德尔的相对一致性结果的。

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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来源期刊

Bulletin of Symbolic Logic 数学-数学

CiteScore

0.60

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： The Bulletin of Symbolic Logic was established in 1995 by the Association for Symbolic Logic to provide a journal of high standards that would be both accessible and of interest to as wide an audience as possible. It is designed to cover all areas within the purview of the ASL: mathematical logic and its applications, philosophical and non-classical logic and its applications, history and philosophy of logic, and philosophy and methodology of mathematics.