frequently used as an assumption for further mathematical work. Proofs employ logic expressed in mathematical symbols, along with natural language which...

Induction puzzles Proof by exhaustion Matt DeVos, Mathematical Induction, Simon Fraser University Gerardo con Diaz, Mathematical Induction Archived 2...

its original proof Mathematical induction and a proof Proof that 0.999... equals 1 Proof that 22/7 exceeds π Proof that e is irrational Proof that π is irrational...

This 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]...

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

In mathematics, certain kinds of mistaken proof are often exhibited, and sometimes collected, as illustrations of a concept called mathematical fallacy...

rigour). Mathematical rigour is often cited as a kind of gold standard for mathematical proof. Its history traces back to Greek mathematics, especially...

reasoning and mathematical logic dealing with proving mathematical theorems by computer programs. Automated reasoning over mathematical proof was a major...

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

proof and its associated mathematical rigour first appeared in Greek mathematics, most notably in Euclid's Elements. Since its beginning, mathematics...

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

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...

science and mathematical logic, a proof assistant or interactive theorem prover is a software tool to assist with the development of formal proofs by human–machine...

Alcohol proof, a measure of an alcoholic drink's strength Proof may also refer to: Formal proof, a construct in proof theory Mathematical proof, a convincing...

Proof by exhaustion, also known as proof by cases, proof by case analysis, complete induction or the brute force method, is a method of mathematical proof...

him to correct the proof to the satisfaction of the mathematical community. The corrected proof was published in 1995. Wiles's proof uses many techniques...

Yanagisawa, Yukio (1987). "An elementary proof that e is irrational". The Mathematical Gazette. 71 (457). London: Mathematical Association: 217. doi:10.2307/3616765...

In mathematics, a proof without words (or visual proof) is an illustration of an identity or mathematical statement which can be demonstrated as self-evident...

DeepMind created AlphaProof which proves mathematical statements in Lean at the level of a silver medalist at the International Mathematical Olympiad. This was...

"rigor" may remain useful for teaching to beginners what is a mathematical proof. Mathematics is used in most sciences for modeling phenomena, which then...

published by the Mathematical Association of America.) Alonso Del Arte (February 2019). "A future president once published a mathematical proof". medium.com...

mcs.st-andrews.ac.uk. Retrieved 2019-10-31. "Proof elegance - MAA Mathematical Communication MAA Mathematical Communication". 2011-04-01. Retrieved 2024-04-28...

spaces. Mathematical objects can be very complex; for example, theorems, proofs, and even theories are considered as mathematical objects in proof theory...

shown invigorated, believing that he has seen the beginnings of a new mathematical proof that will prove his triumph over mental illness. In the present, Catherine...

In mathematics, the term combinatorial proof is often used to mean either of two types of mathematical proof: A proof by double counting. A combinatorial...

modern mathematics due to its mathematical elegance and its connections to the theory of Diophantine approximations. Stephen Lucas calls this proof "one...

computer-assisted proof is a mathematical proof that has been at least partially generated by computer. Most computer-aided proofs to date have been implementations...

complete. A consistency proof is a mathematical proof that a particular theory is consistent. The early development of mathematical proof theory was driven...

mathematical content is not beautiful, and some theorems or proofs are beautiful but may be written about inelegantly. The beauty of a mathematical theory...

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