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The foundational problem of logic

机译:逻辑的基本问题

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The construction of a systematic philosophical foundation for logic is a notoriously difficult problem. In Part One I suggest that the problem is in large part methodological, having to do with the common philosophical conception of "providing a foundation". I offer an alternative to the common methodology which combines a strong foundational requirement (veridical justification) with the use of non-traditional, holistic tools to achieve this result. In Part Two I delineate an outline of a foundation for logic, employing the new methodology. The outline is based on an investigation of why logic requires a veridical justification, i.e., a justification which involves the world and not just the mind, and what features or aspect of the world logic is grounded in. Logic, the investigation suggests, is grounded in the formal aspect of reality, and the outline proposes an account of this aspect, the way it both constrains and enables logic (gives rise to logical truths and consequences), logic's role in our overall system of knowledge, the relation between logic and mathematics, the normativity of logic, the characteristic traits of logic, and error and revision in logic.
机译:为逻辑学建立系统的哲学基础是一个众所周知的难题。在第一部分中,我认为这个问题在很大程度上是方法论上的问题,与“提供基础”的普遍哲学观念有关。我提供了一种通用方法的替代方法,该方法结合了强大的基础要求(垂直证明)和使用非传统的整体工具来实现此结果。在第二部分中,我将概述采用新方法的逻辑基础。该大纲基于对逻辑为何需要一个垂直辩解的调查,即逻辑涉及一个世界而不是仅涉及头脑的辩护,以及世界逻辑的特征或方面是基于什么的。调查表明,逻辑是有基础的在现实的形式方面,提纲概述了这一方面,说明了它约束和启用逻辑的方式(赋予逻辑真理和后果),逻辑在我们整体知识体系中的作用,逻辑与数学之间的关系,逻辑的规范性,逻辑的特征,逻辑的错误和修正。

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