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Bertrand Russell

(1872—1970) philosopher, journalist, and political campaigner

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David Hilbert

David Hilbert  

(1863–1943)German mathematician, a major contributor to most branches of modern mathematics.Born in Königsberg (East Prussia; now Kaliningrad, Russia), the son of a judge, Hilbert was educated at the ...
foundations of mathematics

foundations of mathematics  

The study of the logical basis for mathematics, and in particular attempts to establish an axiomatic basis upon which mathematics could be built. Euclid's geometrical text the Elements is one of the ...
Godfrey Harold Hardy

Godfrey Harold Hardy  

(1877–1947; b. Cranleigh, England; d. Cambridge, England)English mathematician. Hardy graduated from Cambridge U in 1898. Elected a Fellow of Trinity College, Cambridge in 1900, the first edition of ...
John Venn

John Venn  

(1834–1923)British logician who, in his work Symbolic Logic of 1881, introduced what are now called Venn diagrams.
naïve set theory

naïve set theory  

The area of mathematics which attempts to formalize the nature of a set using a min.imal number of independent axioms. Bertrand * Russell worked in this area, but discovered that paradoxes appear, ...
Russell's paradox

Russell's paradox  

The most famous paradox of set theory. Some sets are members of themselves and others are not: for example, the set of all sets is a member of itself, because it is a set, whereas the set of all ...

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