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Bertrand Russell was particularly known for the famous "[[Russell's Paradox]]", which wreaked havoc on intuitivistic set theory. The basic restatement of the paradox is the following: suppose there is a predicate "x is a set that does not contain itself", does the set that is the extension of that predicate contain itself. To solve this, Russell came up with the incomprehensibly complex [[theory of types]], which was later abandoned in favour of the [[Zermelo-Fraenkel]] axioms.

Bertrand Russell was particularly known for the famous "[[Russell's Paradox]]", which wreaked havoc on intuitivistic set theory. The basic restatement of the paradox is the following: suppose there is a predicate "x is a set that does not contain itself", does the set that is the extension of that predicate contain itself. To solve this, Russell came up with the incomprehensibly complex [[theory of types]], which was later abandoned in favour of the [[Zermelo-Fraenkel]] axioms.

Russell's numerous writings had a significant influence on mathematical logic and philosophy.  His works contributed to the many branches of science even though he discredited some of his earlier writings.  

[[Liberal]]s fond of Russell's political views inflated the influence of Russell's numerous writings on mathematical logic and philosophy.  Russell does not rank among the top mathematicians, and he lacks any significant proofs or mathematical advances. His works contributed to the many branches of science even though he discredited some of his earlier writings.  

   

   

:The Principles of Mathematics (1902)

:The Principles of Mathematics (1902)