Mathematician:Paul Joseph Cohen

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American mathematician working in logic and set theory.

Best known for his work on the Continuum Hypothesis.

Fields Medal

Paul Joseph Cohen was awarded a Fields Medal in $\text {1966}$ at the International Congress of Mathematicians in Moscow, Russia:

Used technique called "forcing" to prove the independence in set theory of the axiom of choice and of the generalized continuum hypothesis. The latter problem was the first of Hilbert's problems of the $1900$ Congress.




  • Born: 2 April 1934 in Long Branch, New Jersey, USA
  • Died: 23 March 2007 in Palo Alto, California, USA

Theorems and Definitions


  • 1959: Factorization in Group Algebras
  • 1960: On a conjecture of Littlewood and Idempotent Measures (Amer. J. Math. Vol. 82: pp. 191 – 212)
  • 4 July 1963: Independence results in set theory
  • 1963: The Independence of the Continuum Hypothesis
  • 1964: The Independence of the Continuum Hypothesis II