罗素悖论解法的比较研究

2023 4th International Conference on Computing, Mathematics and Engineering Technologies (iCoMET) Pub Date : 2023-03-17 DOI:10.1109/iCoMET57998.2023.10099262

Fizza Rubab, Shamsa Hafeez, Muhammad Hasham Qazi, Mujtaba Hassan Syed, Badar Irfan Azeemi, Aeyaz Jamil Kayani

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引用次数: 0

摘要

这个比较研究考察了罗素悖论的各种解决方案，罗素悖论是集合论中一个众所周知的问题，由伯特兰·罗素于1901年首次发现。悖论产生于一个集合是否可以是其自身的成员的问题。本研究比较和对比了不同数学家和逻辑学家提出的不同解决方案，包括类型理论、Zermelo-Fraenkel集合理论、von Neumann-Bernays-Gödel集合理论、副一致集合理论和模糊集合理论。该研究还检查了这些提出的解决方案的利弊，并提出了为什么Zermelo- Frankael集合理论似乎是罗素悖论的最简单和最适合的解决方案。

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A Comparative Survey of Solutions to Russel's Paradox

This comparative study examines various solutions to Russel's Paradox, a well-known problem in set theory first identified by Bertrand Russell in 1901. The paradox arises from the question of whether a set can be a member of itself. This study compares and contrasts the different solutions proposed by various mathematicians and logicians, including Theory of Types, Zermelo-Fraenkel set theory, von Neumann-Bernays-Gödel set theory, and Paraconsistent set theory and Fuzzy set theory. The study also examines the pros and cons of each of these proposed solutions and suggests the reason why Zermelo- Frankael Set theory seems to be the simplest and most-suited solution to Russel's paradox as compared to others.

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2023 4th International Conference on Computing, Mathematics and Engineering Technologies (iCoMET)

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