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Bertrand Russell

Russell (1872-1970) is one of the best-known philosophers of the 20th century, making great contributions to philosophy of mathematics, logic, and simply defining the form of modern analytic philosophy in general. His greatest work was the Principia Mathematica, which strove to derive all of mathematics from formal logical rules. Godel's incompleteness theory ultimately shattered Russell's hope of developing a rigorous number theory, but even so, Russell's influence remained great. He popularized Frege's work and was a mentor to Wittgenstein.