• In mathematics, constructive analysis is mathematical analysis done according to some principles of constructive mathematics. The name of the subject contrasts...
    31 KB (4,955 words) - 14:23, 21 April 2024
  • In mathematics, constructive nonstandard analysis is a version of Abraham Robinson's nonstandard analysis, developed by Moerdijk (1995), Palmgren (1998)...
    2 KB (160 words) - 09:17, 17 March 2024
  • Hilbert and Bernays, the constructive recursive mathematics of Shanin and Markov, and Bishop's program of constructive analysis. Constructivism also includes...
    19 KB (2,572 words) - 23:34, 2 June 2024
  • functional analysis that can be carried out in a computable manner. The field is closely related to constructive analysis and numerical analysis. A notable...
    12 KB (1,598 words) - 19:22, 29 May 2024
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    of constructive, rather than classical, logic and set theory. Intuitionistic analysis, which is developed from constructive logic like constructive analysis...
    45 KB (4,370 words) - 19:09, 13 May 2024
  • 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...
    12 KB (1,388 words) - 06:59, 6 May 2024
  • In mathematics, a constructive proof is a method of proof that demonstrates the existence of a mathematical object by creating or providing a method for...
    14 KB (2,073 words) - 11:54, 4 April 2024
  • constructive mathematical theories tend to prove classically equivalent reformulations of classical theorems. For example, in constructive analysis,...
    211 KB (34,880 words) - 17:22, 1 June 2024
  • not in intuitionistic constructive mathematics. However, many particular instances of it are nevertheless provable in a constructive context as well. The...
    9 KB (1,334 words) - 13:17, 7 May 2024
  • of its definitions and methods are inspired by previous work in constructive analysis and proof theory. The use of second-order arithmetic also allows...
    37 KB (4,665 words) - 19:08, 5 June 2024