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.