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When we recently wrote about the toughest math problems that have been solved, we mentioned one of the greatest achievements in 20th-century math: the solution to Fermat’s Last Theorem. Sir ...
Richard Webb, Three gods, three questions: The Hardest Logic Puzzle Ever. (New Scientist, Volume 216, Issues 2896–2897, 22–29 December 2012, Pages 50–52.) Can You Solve the Hardest Logic Puzzle Ever? Jason Rosenhouse, Knights, Knaves, Normals, and Neutrals; Tom Ellis, Even harder than the hardest logic puzzle ever.
The question is whether or not, for all problems for which an algorithm can verify a given solution quickly (that is, in polynomial time), an algorithm can also find that solution quickly. Since the former describes the class of problems termed NP, while the latter describes P, the question is equivalent to asking whether all problems in NP are ...
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. [1]
Most of the puzzles are easy enough, but occasionally we'll get stuck on one for upwards of an hour, where the only way to get past it is to spend coins to reveal letters. Don't be like us.
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.
A further complication is that the inhabitants may answer yes–no questions in their own language, and the visitor knows that "bal" and "da" mean "yes" and "no" but does not know which is which. These types of puzzles were a major inspiration for what has become known as "the hardest logic puzzle ever".
This is a more rationale and simple solution of the hardest logic puzzle (invented by Raymond Smullyan and solved by G. Boloos, 1996). It is just has a different road-map (milestones) and a different set of questions that the original solution has.