对罗素反二元论的思考

Paola Cattabriga
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引用次数: 0

摘要

我们使用三种不同的演绎体系来阐述罗素的反证法,然后对这三种体系进行比较,以深化导致矛盾的逻辑演绎。然后,我们提出了一些推论路径,以替代公认的推论路径,这些路径允许在不推导出矛盾的情况下正式断言反定式,从而保持了系统的一致性。有鉴于此,本文的目的在于提出对断言罗素的反二律背反的后果进行回顾,并进而对任何解决悖论的尝试都注定要失败的普遍看法进行回顾。
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Reflections on Russell's antinomy
We present Russell's antinomy using three distinct deductive systems, which are then compared to deepen the logical deductions that lead to the contradiction. Some inferential paths are then presented, alternative to the commonly accepted one, that allow for the formal assertion of the antinomy without deriving the contradiction, thus preserving the coherence of the system. In light of this, the purpose of this article is to propose a review of the consequences of asserting Russell's antinomy and, by extension, the widespread belief that any attempt to resolve a paradox is doomed to failure.
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