Mathematical Proof Related concepts
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frequently used as an assumption for further mathematical work. Proofs employ logic expressed in mathematical symbols, along with natural language which...
spaces. Mathematical objects can be very complex; for example, theorems, proofs, and even theories are considered as mathematical objects in proof 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...
- In mathematics, certain kinds of mistaken proof are often exhibited, and sometimes collected, as illustrations of a concept called mathematical fallacy...
- contain new mathematical theorems and their proofs." Mathematical notation is widely used in science and engineering for representing complex concepts and properties...
- deep A result is called "deep" if its proof requires concepts and methods that are advanced beyond the concepts needed to formulate the result. For example...
- turns out to be vague. Foundations of mathematics can be conceived as the study of the basic mathematical concepts (set, function, geometrical figure, number...
- by which we can always find a proof of a given sentence or determine that none exists. The concepts of Fitch-style proof, sequent calculus and natural...
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...- gauge of mathematics students' erudition in mathematical structures and methods, and can overlap with other related concepts such as mathematical intuition...
- Mathematical logic is the study of formal logic within mathematics. Major subareas include model theory, proof theory, set theory, and recursion theory...
Theorem (redirect from Mathematical theorem)important theorems. In mathematical logic, the concepts of theorems and proofs have been formalized in order to allow mathematical reasoning about them...- In mathematics, a proof by infinite descent, also known as Fermat's method of descent, is a particular kind of proof by contradiction used to show that...
- of mathematical identities List of mathematical proofs List of theorems List of convexity topics List of dualities List of exceptional set concepts List...
Discrete mathematics is the study of mathematical structures that can be considered "discrete" (in a way analogous to discrete variables, having a bijection...- 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...
- second proof (after Church's theorem) of the negation of Hilbert's Entscheidungsproblem; that is, the conjecture that some purely mathematical yes–no...
- Fourier-related transforms List of mathematical functions List of knots List of mathematical knots and links List of manifolds List of mathematical shapes...
- specialists. More specifically, folk mathematics, or mathematical folklore, is the body of theorems, definitions, proofs, facts or techniques that circulate...
Pythagorean theorem (redirect from Pythagoras' Theorem Proof)possibly the most for any mathematical theorem. The proofs are diverse, including both geometric proofs and algebraic proofs, with some dating back thousands...
- in Mathematical Instruction by George Abram Miller 1200748Popular Science Monthly Volume 68 February 1906 — Some Recent Tendencies in Mathematical Instruction1906George
- instruction". The use of generalized mathematical theories and proofs is the key difference between Greek mathematics and those of preceding civilizations
- A constructive proof is the most basic kind of proof there is. It is a proof that starts with a hypothesis, and a person uses a series of logical steps