Search results
Results from the WOW.Com Content Network
For the second portion of the list, see List of words having different meanings in American and British English: M–Z. Asterisked (*) meanings, though found chiefly in the specified region, also have some currency in the other region; other definitions may be recognised by the other as Briticisms or Americanisms respectively. Additional usage ...
Many, if not most, undecidable problems in mathematics can be posed as word problems: determining when two distinct strings of symbols (encoding some mathematical concept or object) represent the same object or not. For undecidability in axiomatic mathematics, see List of statements undecidable in ZFC.
For the first portion of the list, see List of words having different meanings in American and British English (A–L). Asterisked (*) meanings, though found chiefly in the specified region, also have some currency in the other dialect; other definitions may be recognised by the other as Briticisms or Americanisms respectively.
This is a list of puzzles that cannot be solved. An impossible puzzle is a puzzle that cannot be resolved, either due to lack of sufficient information, or any number of logical impossibilities. Kookrooster maken 23; 15 Puzzle – Slide fifteen numbered tiles into numerical order. It is impossible to solve in half of the starting positions.
Auto-antonym: A word that is encoded with opposing meanings. Absurdity; Excusable negligence: If a behavior is excusable, it is not negligence. Gödel's incompleteness theorems: and Tarski's undefinability theorem; Ignore all rules: To obey this rule, it is necessary to ignore it. Impossible object: A type of optical illusion.
List of unsolved problems may refer to several notable conjectures or open problems in various academic fields: Natural sciences, engineering and medicine
Matiyasevich showed this problem to be unsolvable by mapping a Diophantine equation to a recursively enumerable set and invoking Gödel's Incompleteness Theorem. [5] In 1936, Alan Turing proved that the halting problem—the question of whether or not a Turing machine halts on a given program—is undecidable, in the second sense of the term.
Many mathematical problems have been stated but not yet solved. These problems come from many areas of mathematics, such as theoretical physics, computer science, algebra, analysis, combinatorics, algebraic, differential, discrete and Euclidean geometries, graph theory, group theory, model theory, number theory, set theory, Ramsey theory, dynamical systems, and partial differential equations.