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The Early Formation of Modal Logic and its Significance: A Historical Note on Quine, Carnap, and a Bit of Church
History and Philosophy of Logic ( IF 0.5 ) Pub Date : 2018-01-09 , DOI: 10.1080/01445340.2017.1409578
Adam Tamas Tuboly 1, 2
Affiliation  

The aim of the paper is to show that W. V. O. Quine's animadversions against modal logic did not get the same attention that is considered to be the case nowadays. The community of logicians focused solely on the technical aspects of C. I. Lewis’ systems and did not take Quine's arguments and remarks seriously—or at least seriously enough to respond. In order to assess Quine's place in the history, however, his relation to Carnap is considered since their notorious break was about the status of extensionality and modal logic (and analyticity was much more of a second issue). Since much of the works about the history of analytic philosophy is centered on the relationship of Quine and Carnap, their break about modality deserves much more attention—it also sheds some light on why should anyone wonder about Quine's early arguments against modal logic. The paper ends with some further considerations regarding the early formation of modal logic and hitherto unconsidered problematic issues.

中文翻译:

模态逻辑的早期形成及其意义:关于蒺藜、卡尔纳普和一点教堂的历史笔记

这篇论文的目的是表明 WVO Quine 对模态逻辑的反驳没有像现在被认为的那样得到同样的关注。逻辑学家社区只关注 CI Lewis 系统的技术方面,并没有认真对待 Quine 的论点和评论——或者至少认真到足以做出回应。然而,为了评估蒯因在历史上的地位,我们考虑了他与卡尔纳普的关系,因为他们臭名昭著的分歧是关于外延性和模态逻辑的状态(而分析性更像是第二个问题)。由于大部分关于分析哲学史的著作都集中在奎因和卡尔纳普的关系上,他们对模态的突破值得更多关注——这也揭示了为什么有人会对奎因感到疑惑。s 早期反对模态逻辑的论点。本文最后对模态逻辑的早期形成和迄今为止未考虑的问题进行了一些进一步的考虑。
更新日期:2018-01-09
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