Voevodsky, This page lists notable examples of incomplete or incorrect published mathematical proofs. Most of these were accepted as complete or correct...

list of articles with mathematical proofs: Bertrand's postulate and a proof Estimation of covariance matrices Fermat's little theorem and some proofs...

is a list of unusually long mathematical proofs. Such proofs often use computational proof methods and may be considered non-surveyable. As of 2011[update]...

proving Invalid proof List of incomplete proofs List of long proofs List of mathematical proofs Nonconstructive proof Proof by intimidation Termination...

completely verified by proof assistant software. Gödel's original proofs of the incompleteness theorems, like most mathematical proofs, were written in natural...

knowledge List of incomplete proofs Mathematical coincidence – Coincidence in mathematics Paradox – Logically self-contradictory statement Proof by intimidation –...

List of incomplete proofs List of unsolved problems in mathematics List of disproved mathematical ideas List of unsolved problems List of lemmas List...

disproven as there are 267 isomorphic groups in the order of 64. See List of incomplete proofs. "Facts about the integer". mathworld.wolfram.com. "Biconnected...

This article gives a sketch of a proof of Gödel's first incompleteness theorem. This theorem applies to any formal theory that satisfies certain technical...

-- Linguistics and Philosophy -- List of fallacies -- List of incomplete proofs -- List of logic journals -- List of paradoxes -- Logic -- Logic Lane...

particular family of analytic proofs arising in reductive logic are focused proofs which characterise a large family of goal-directed proof-search procedures...

proofs might be inelegant is to look at the following proofs that all modern Summer Olympic Games are held in years which are divisible by 4: Proof:...

The following is an incomplete list of Islamist terrorist attacks. According to Fondapol, a French think tank, between 1979 and May 2021, at least 48,035...

accompanying explanatory text. Such proofs can be considered more elegant than formal or mathematically rigorous proofs due to their self-evident nature...

(1988) argues that Gödel's incompleteness theorem shows that it is not possible to produce finitistic consistency proofs of strong theories. Kreisel (1976)...

technique that has since been used in a wide range of proofs, including the first of Gödel's incompleteness theorems and Turing's answer to the Entscheidungsproblem...

demonstrates a problem or general set of problems cannot be solved. These are also known as proofs of impossibility, negative proofs, or negative results. Impossibility...

mathematical proofs, not every school of mathematical thought accepts this kind of nonconstructive proof as universally valid. More broadly, proof by contradiction...

This is an incomplete list of operations conducted by Delta Force. Delta's very first tasking began the night after they successfully completed their operational...

Significantly, these proofs can be checked automatically, also by computer. Checking formal proofs is usually simple, while the problem of finding proofs (automated...

GammaLn(b) − GammaLn(a + b)) This result follows from the properties listed above. The incomplete beta function cannot be directly computed using such relations...

mathematicians to develop human-readable proofs which are nonetheless formally verified for correctness. Since these proofs are generally human-surveyable (albeit...

defines a notion of "reduction procedure" for proofs in Peano arithmetic. For a given proof, such a procedure produces a tree of proofs, with the given...

developed a computerized formal proof using the Isabelle theorem prover. Other proofs are also known. Original proof of Gödel's completeness theorem Trakhtenbrot's...

functions List of mathematical identities List of mathematical proofs List of misnamed theorems List of scientific laws List of theories Most of the results...

always decidable. Since the proofs generated by automated theorem provers are typically very large, the problem of proof compression is crucial, and various...

1954. In his proof that the Entscheidungsproblem can have no solution, Turing proceeded from two proofs that were to lead to his final proof. His first...

elementary proof is a mathematical proof that only uses basic techniques. More specifically, the term is used in number theory to refer to proofs that make...

correspond to a log-n-step loop. Because of that, proofs using prefix induction are "more feasibly constructive" than proofs using predecessor induction. Predecessor...

from previous formulas by a rule of inference. These formal deductions are meant to mirror natural-language proofs, although they are far more detailed...