nLab Errett Bishop

Errett Bishop

Errett Bishop (1928–1983) was responsible for reviving interest in constructive mathematics as a branch of mathematics. Before this, he had a career in areas of classical (i.e., non-constructive) analysis, including approximation theory?, several complex variables, function algebras, and other fields.

See Bishop's constructive mathematics for a detailed discussion of the system he developed. Bishop's important works in constructive mathematics include:

  • Foundations of Constructive Analysis (1967), the work which made him famous in the foundations of mathematics circles;

  • “Schizophrenia in contemporary mathematics” (1973), a philosophical attack on nonconstructive mathematics;

    see also: “The crisis in contemporary mathematics”, Historia Mathematica Volume 2, Issue 4, November 1975, Pages 507-517 (

  • Constructive Measure Theory (1972, with Henry Cheng?), featuring a better measure theory than in FCA;

  • Constructive Analysis (1985, with Douglas Bridges), a revised version of FCA, incorporating the measure theory of CMT.

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Last revised on January 5, 2018 at 07:55:33. See the history of this page for a list of all contributions to it.