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Mathematics and Philosophy
Philosophy, 1960, "Notes on Philosophy"
Philosophy, 1960, "Notes on Philosophy"
==Contributions to Mathematics==
==Contributions to Mathematics and Philosophy==
Bertrand Russell was particularly known for the famous "Russell Paradox", which wrecked 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 Paradox", which wrecked 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.
The Principles of Mathematics (1902)
Principia Mathematica (1910-13)
The ABC of Relativity (1925)
Education and the Social Order (1932)
A History of Western Philosophy (1945)
The Impact of Science upon Society (1952)
My Philosophical Development (1959)
War Crimes in Vietnam (1967)
Our Knowledge of the External World (1926)
Inquiry into Meaning and Truth (1962) <ref> http://www.nndb.com/people/954/000044822/ </ref>
==Notes and references==
==Notes and references==