2024/09/06 by Paola Cattabriga, Cattabriga, Paola
Arts and Humanities · #03Axx #03Bxx #03Exx #FOS: Computer and information sciences #FOS: Mathematics #Logic (math.LO) #Logic in Computer Science (cs.LO) #Philosophical Ethics and Theory #Philosophy, Science, and History #Pragmatism in Philosophy and Education
paper · pdf · doi:10.48550/arxiv.2409.05903
openalex publication_date 2024/09/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.