Errett Albert Bishop (July 14, 1928 – April 14, 1983)[1] was an American mathematician known for his work on analysis. He is best known for developing constructive analysis in his 1967 Foundations of Constructive Analysis, where he proved most of the important theorems in real analysis using "constructivist" methods.
Errett Albert Bishop (July 14, 1928 – April 14, 1983) was an American mathematician known for his work on analysis. He is best known for developing constructive...
Errett is a given name. Notable people with the name include: ErrettBishop (1928–1983), American mathematician known for his work on analysis Errett...
nonstandard calculus, have been criticized by several authors, notably ErrettBishop, Paul Halmos, and Alain Connes. These criticisms are analyzed below...
Analytica priora, eBooks@Adelaide Bishop, Errett (1985), Schizophrenia in contemporary mathematics. ErrettBishop: reflections on him and his research...
dependent choice, which do not imply the law of the excluded middle. ErrettBishop, who is notable for developing a framework for constructive analysis...
principle of omniscience. Constructivism (philosophy of mathematics) ErrettBishop - author of the book "Foundations of Constructive Analysis". Existence...
through Interval Arithmetic. John Wiley & Sons. ISBN 978-1-470-45144-8. ErrettBishop; Douglas Bridges (1985). Constructive Analysis. Springer. ISBN 0-387-15066-8...
University Santa Clara University Doctoral advisor Joseph L. Doob Doctoral students ErrettBishop Bernard Galler Donald Sarason V. S. Sunder Peter Rosenthal...
topics Shapley–Folkman lemma – Sums of sets of vectors are nearly convex ErrettBishop; Karl de Leeuw. "The representations of linear functionals by measures...
nonstandard analysis, criticisms have been voiced, as well, such as those by ErrettBishop, Alain Connes, and Paul Halmos, as documented at criticism of nonstandard...
(2023) pp. 201-207 ErrettBishop, Foundations of Constructive Analysis, July 1967 Stolzenberg, Gabriel (1970). "Review: ErrettBishop, Foundations of Constructive...
establish the truth of some proposition. Important work was done by ErrettBishop, who managed to prove versions of the most important theorems in real...
Mathematics and the Acta Mathematica. Stolzenberg, influenced by the work of ErrettBishop, was a constructivist in the philosophy of mathematics, as well as in...
is—without the emergence of a 'master theory'. For example, according to ErrettBishop's definitions, the continuity of a function such as sin(x) should be...
influences: Guglielmo Chiodi, Stefano Zambelli, Alan Turing, Luitzen Brouwer, ErrettBishop, Edmund Husserl and Alberto Quadrio Curzio. Nonlinear and Multisectoral...
Mathematical Society. He was a convinced atheist. With ErrettBishop, Phelps proved the Bishop–Phelps theorem, one of the most important results in functional...
York: Springer-Verlag, p. 642, ISBN 978-3-540-44085-7, Zbl 1007.03002 Bishop, Errett (1967), Foundations of Constructive Analysis, New York: Academic Press...