constructive mathematics in nLab
constructive mathematics in nLab
Constructive mathematics is mathematics done without the principle of excluded middle, or other principles, such as the full axiom of choice, that imply it.
Bishop's constructive mathematics in nLab
Bishop's constructive mathematics is often described as “obtained from classical mathematics by removing the law of excluded middle and the axiom of choice”. It ...
neutral constructive mathematics in nLab
Neutral constructive mathematics is a branch of constructive mathematics which simply removes the axiom of choice and excluded middle from the ...
Constructive analysis is the incarnation of analysis in constructive mathematics. It is related to, but distinct from, computable analysis.
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 article constructive mathematics: "This is the ...
constructivism - contents in nLab
Constructive mathematics · topos, homotopy topos · type theory, homotopy type theory · canonical form, univalence · Bishop set, h-set · decidable ...
intuitionistic mathematics in nLab
Not infrequently the word “intuitionistic” is used to refer simply to constructive mathematics in general, or to constructive logic, or to ...
'constructive-mathematics' tag wiki - Proof Assistants Stack Exchange
... mathematics, where such principles are taken to hold. (from nLab). References: nLab - Constructive mathematics nLab - Bishop's constructive mathematics.
Constructive Mathematics — 80-518/818 - Ulrik Buchholtz
In this seminar we shall read primary and secondary sources on the origins and developments of intuitionism and constructive mathematics.
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.
... nLab, I feel like I am talking into empty space. I think the other point is that the hardest part of mathematics is knowing which mathematics ...
Is category theory part of constructive mathematics? - Quora
Category Theory is a mathematical formalism that is an alternative to set theory. The fundamental idea of category theory is the notion of the ...
AFFINE LOGIC FOR CONSTRUCTIVE MATHEMATICS
We show that numerous distinctive concepts of constructive mathematics arise automatically from an “antithesis” translation of affine logic ...
What does a proof in an internal logic actually look like?
The nLab has a lot of nice things to ... So the statement follows if we can give a constructive proof of the following linear algebra fact:.
Constructive Mathematics - Stanford Encyclopedia of Philosophy
Constructive mathematics is distinguished from its traditional counterpart, classical mathematics, by the strict interpretation of the phrase “there exists” as ...
Realizability as the Connection between Computable and ...
The main message of the notes is that computable mathematics is the realizability interpretation of constructive mathematics.
What do constructivists want? : r/math - Reddit
To put it very crudely, if you manage to prove a "naturally occurring" mathematical statement without using a non-constructive lemma, without ...
Constructive proof - Wikipedia
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 ...
This is like the theory of groups, but instead of imagining that we have a group, we imagine that we have nothing at all. However, we still have ...
Russian constructivism in nLab
The Russian school of constructive mathematics, associated principally with Andrey Markov Jr, was (is?) a variety of constructive mathematics focussing on ...