真相创造者语义用于直觉主义的模态逻辑
1Department of Philosophy, University of Texas at Austin, 2210 Speedway, WAG 316, Stop C3500, Austin, TX 78712 USA.
Topoi : an international review of philosophy
|May 12, 2025
概括
本研究为直觉模态逻辑引入了精确的真理制造者语义,为必要命题定义了真理制造者. 它澄清了古典逻辑和直觉逻辑在真理制造方面有什么不同,影响了T和B的公理.
科学领域:
- 逻辑 逻辑 逻辑 逻辑 逻辑
- 数学的哲学数学的哲学
- 模式逻辑 模式逻辑
背景情况:
- 真理制造者语义提供了一种方法,以对象来理解真理,这些对象使命题成为真实.
- 现有的 truthmaker 语义主要集中在直觉逻辑上,使得 modal 扩展的探索较少.
- 在真相制造中",准确性"的概念,真相制造者只包含相关信息,对于细粒度分析至关重要.
研究的目的:
- 为直觉主义逻辑扩展Fine的真理创造者语义,以处理直觉主义模态逻辑中必要的命题.
- 为直觉模态逻辑开发一个确切的真理创造者语义.
- 调查直觉主义和古典逻辑之间的真理制造的差异,特别是关于T和B的公理.
主要方法:
- 扩展了Fine的真理创造者语义框架.
- 在直觉模态逻辑中开发一个准确的真理制造者语义的正式系统.
- 分析真相制造者,在这个新的框架内提出必要的命题.
主要成果:
- 成功地将Fine的真理创造者语义扩展到直觉主义的模态逻辑.
- 为确定必要命题的确切真理制造者提供了一种方法.
- 展示了古典逻辑和直觉逻辑如何表现出不同的真理制造条件,阐明了T和B的公理.
结论:
- 开发的精确真相创造者语义提供了一种新的方法来理解在直觉逻辑中的模态真理.
- 这些发现为模态逻辑的哲学基础和真理的性质提供了新的见解.
- 这部作品将真理创造者语义与模式逻辑相结合,为进一步的哲学逻辑研究提供了基础.
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