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
Cantor's first set theory article (redirect from Cantor first uncountability proof)
Both constructive and non-constructive proofs have been presented as "Cantor's proof." The popularity of presenting a non-constructive proof has led...
101 KB (7,536 words) - 20:48, 11 February 2024
Constructivism (philosophy of mathematics) (redirect from Constructive mathematics)
assumption. Such a proof by contradiction might be called non-constructive, and a constructivist might reject it. The constructive viewpoint involves...
19 KB (2,577 words) - 02:49, 4 August 2024
Intuitionistic logic (redirect from Constructive logic)
used for classical logic by more closely mirroring the notion of constructive proof. In particular, systems of intuitionistic logic do not assume the...
51 KB (7,745 words) - 17:38, 4 August 2024
techniques from recursion theory as well as proof theory. Functional interpretations are interpretations of non-constructive theories in functional ones. Functional...
19 KB (2,641 words) - 00:58, 6 May 2024
the form of a proof by contradiction in which the nonexistence of the object is proved to be impossible. In contrast, a constructive proof establishes that...
38 KB (4,783 words) - 16:48, 14 August 2024
Cantor's diagonal argument (redirect from Diagonal proof)
binary digits (i.e. each digit is zero or one). He begins with a constructive proof of the following lemma: If s1, s2, ... , sn, ... is any enumeration...
27 KB (2,812 words) - 12:56, 25 July 2024
Law of excluded middle (category Articles containing proofs)
is rational. The above proof is an example of a non-constructive proof disallowed by intuitionists: The proof is non-constructive because it doesn't give...
38 KB (5,693 words) - 21:00, 11 July 2024
mechanically checks proofs of these assertions, helps to find formal proofs, and extracts a certified program from the constructive proof of its formal specification...
17 KB (1,202 words) - 07:39, 2 August 2024
Lovász local lemma (section Non-constructive proof)
60th birthday). Vol. II. North-Holland. pp. 609–627. Moser, Robin A. (2008). "A constructive proof of the Lovasz Local Lemma". arXiv:0810.4812 [cs.DS]....
12 KB (2,011 words) - 08:00, 17 June 2024