constructive analysis in nLab
It is related to, but distinct from, computable analysis; the latter is developed in classical logic explicitly using computability theory, ...
Some of the n n lab entries related to mathematical analysis include metric space, normed vector space, metric topology, sequence, net, ...
Bishop's constructive mathematics in nLab
In 1967, Errett Bishop revived interest and practice of constructive mathematics with his book Foundations of Constructive Analysis.
Foundations of Constructive Analysis in nLab
This pages compiles material related to the book Errett Bishop, Foundations of Constructive Analysis McGraw-Hill (1967)
CONSTRUCTIVE ANALYSIS WITH WITNESSES Contents 1. Real ...
way that from a proof of an existence formula one can extract a program. For instance, from a proof of the intermediate value theorem we want to.
constructive mathematics in nLab
Broadly speaking, constructive mathematics is mathematics done without the principle of excluded middle, or other principles, such as the full axiom of choice, ...
constructive set theory in nLab
Constructive set theory is set theory in the spirit of constructive mathematics. Algebraic set theory is a categorical presentation of such set theories.
ct.category theory - What is neutral constructive mathematics
[Edit: The best I could find (at this time in writing my question) was this line in the nLab ... analysis have shown up overt (sub)spaces as ...
neutral constructive mathematics in nLab
Contents. 1. Idea; 2. Examples; 3. Consequences. Set theory; Real analysis; Algebra. 4. See ...
Is nLab a good source? : r/math - Reddit
For a student I think it's not a good place to learn from, just as I'd recommend reading a standard analysis text over the Wikipedia entry for ...
nLab Digest | The n-Category Café - Welcome
Thus the semiclassical methods (and all the machinery above for its establishment like microlocal analysis, cohomological tools like Maslov ...
What actually is the idea behind the condensed mathematics?
The nlab page is a bit more concrete. That wikipedia page is awful ... analysis in a seemingly essential way. Condensed mathematics ...
... nlab/show/internal+logic). It's far from perfect, but hopefully it ... By “syntactically justified construction” I mean a constructive bool ...
ZF+DC as the boundary of constructive mathematics
... analysis, but a quick skim didn't turn it up.) ... See for instance the comparisons here ncatlab.org/nlab/show/constructive+mathematics. – ...
The Triumph of Types: Creating a Logic of Computational Reality
of Constructive Analysis [12]. 1.5 Broadening the scope of computation. Brouwer's computational interpretation of mathematical concepts led ...
Understanding Constructive Galois Connections
The paper is about how to do verified static analysis while taking advantage of the calculational approach of Abstract Interpretation. The ...
Computable analysis - Wikipedia
It is concerned with the parts of real analysis and functional analysis that can be carried out in a computable manner. The field is closely related to ...
Formalizations of analysis - Aidan Backus
Jan. 2017. url: https://mathoverflow.net/q/260473. [12] nLab authors. Bishop's constructive mathematics. Nov. 2018.
nLab -- General Discussion | The n-Category Café - Welcome
For example, if someone is intending on using the nLab for collaborative research ... constructive; in both cases, the objections are to ...
AFFINE LOGIC FOR CONSTRUCTIVE MATHEMATICS
Available at https://ncatlab.org/nlab/show/Cheng+space.Google Scholar. [9]. Bishop, E., Foundations of Constructive Analysis, McGraw-Hill ...