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]...

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

some ambiguity. In most mathematical literature, proofs are written in terms of rigorous informal logic. Purely formal proofs, written fully in symbolic...

his proof has not been accepted as correct in the mainstream mathematical community. List of long mathematical proofs List of disproved mathematical ideas...

Proofs and Refutations: The Logic of Mathematical Discovery is a 1976 book by philosopher Imre Lakatos expounding his view of the progress of mathematics...

topology). Glossary of areas of mathematics List of mathematical constants List of mathematical symbols Category:Mathematical terminology Goldfeld,...

consists of a formal language for writing mathematical definitions and proofs, a proof assistant, which is able to mechanically check proofs written in...

and a mathematical fallacy in a proof, in that a mistake in a proof leads to an invalid proof while in the best-known examples of mathematical fallacies...

Non-probabilistic proofs were available earlier. The boundary Harnack principle is proved using Brownian motion (see also). Non-probabilistic proofs were available...

k-coloring (k ≥ 3) of the positive integers such that no Pythagorean triples are the same color. List of long mathematical proofs Lamb, Evelyn (26 May...

Proof theory is a major branch of mathematical logic and theoretical computer science within which proofs are treated as formal mathematical objects, facilitating...

important theorems. In mathematical logic, the concepts of theorems and proofs have been formalized in order to allow mathematical reasoning about them...

of automated reasoning and mathematical logic dealing with proving mathematical theorems by computer programs. Automated reasoning over mathematical proof...

Haken–Appel proof of the Four Color Theorem) Perminov, V. Ya. (1988). "On the Reliability of Mathematical Proofs". Philosophy of Mathematics. 42 (167 (4))...

attempt to list examples in mathematics. To qualify for inclusion, an article should be about a mathematical object with a fair amount of concreteness...

and of keeping the most elegant mathematical proofs to himself. When he saw a particularly beautiful mathematical proof he would exclaim, "This one's from...

rule used in formal proofs, and is the foundation of most correctness proofs for computer programs. Despite its name, mathematical induction differs fundamentally...

Mathematical logic is the study of formal logic within mathematics. Major subareas include model theory, proof theory, set theory, and recursion theory...

Foundations of mathematics are the logical and mathematical framework that allows the development of mathematics without generating self-contradictory...

AMATYC Mathematics Contest Mathematical Contest in Modeling (MCM) William Lowell Putnam Mathematical Competition Liga Matemática, mathematics competition...

A mathematical symbol is a figure or a combination of figures that is used to represent a mathematical object, an action on mathematical objects, a relation...

are one of the basic objects of study in all areas of modern mathematical analysis. Banach also gave proofs of versions of the open mapping theorem, closed...

logically imposed, such as mathematical proofs which must maintain consistent answers; or socially imposed, such as the process of defining ethics and law...

century, and all of these problems gave rise to research into more complicated mathematical structures. Some of the most important proofs of impossibility...

but, in mathematics, the standard of rigor is much higher than elsewhere. For many centuries, logic, although used for mathematical proofs, belonged...

Lectureships | London Mathematical Society". www.lms.ac.uk. Retrieved 2023-12-13. Mathematics portal Lists of awards Lists of science and technology...

The progression of both the nature of mathematics and individual mathematical problems into the future is a widely debated topic; many past predictions...

proofs which are contingent on the truth of this conjecture. These are called conditional proofs: the conjectures assumed appear in the hypotheses of...

order logic. The two main types of deductive systems are proof systems and formal semantics. Formal proofs are sequences of well-formed formulas (or WFF...

suggested its inclusion in undergraduate mathematics libraries. The "pearls" of the title include theorems, proofs, problems, and examples in graph theory...