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Logic Puzzle
A logic puzzle is a puzzle deriving from the mathematics, mathematical field of deductive reasoning, deduction. History The logic puzzle was first produced by Charles Lutwidge Dodgson, who is better known under his pen name Lewis Carroll, the author of ''Alice's Adventures in Wonderland''. In his book ''The Game of Logic'' he introduced a game to solve problems such as confirming the conclusion "Some greyhounds are not fat" from the statements "No fat creatures run well" and "Some greyhounds run well". Puzzles like this, where we are given a list of premises and asked what can be deduced from them, are known as syllogisms. Dodgson goes on to construct much more complex puzzles consisting of up to 8 premises. In the second half of the 20th century mathematician Raymond Smullyan, Raymond M. Smullyan continued and expanded the branch of logic puzzles with books such as ''The Lady or the Tiger?'', ''To Mock a Mockingbird'' and ''Alice in Puzzle-Land''. He popularized the "knights an ...
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Puzzle
A puzzle is a game, Problem solving, problem, or toy that tests a person's ingenuity or knowledge. In a puzzle, the solver is expected to put pieces together (Disentanglement puzzle, or take them apart) in a logical way, in order to arrive at the correct or fun solution of the puzzle. There are different genres of puzzles, such as crossword puzzles, word-search puzzles, number puzzles, relational puzzles, and logic puzzles. The academic study of puzzles is called enigmatology. Puzzles are often created to be a form of entertainment but they can also arise from serious Mathematical problem, mathematical or logical problems. In such cases, their solution may be a significant contribution to mathematical research. Etymology The ''Oxford English Dictionary'' dates the word ''puzzle'' (as a verb) to the end of the 16th century. Its earliest use documented in the ''OED'' was in a book titled ''The Voyage of Robert Dudley (explorer), Robert Dudley...to the West Indies, 1594–95, narra ...
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Logic Maze
Logic mazes, sometimes called mazes with rules or multi-state mazes, are logic puzzles with all the aspects of a tour puzzle that fall outside of the scope of a typical maze. These mazes have special rules, sometimes including multiple states of the maze or navigator. A ruleset can be basic (such as "you cannot make left turns") or complex. Popular logic mazes include tilt mazes and other novel designs which usually increase the complexity of the maze, sometimes to the point that the maze has to be designed by a program to eliminate multiple paths. History Robert Abbott invented the logic maze. The first logic maze ever published, ''Traffic Maze in Floyd's Knob'', appeared in the October 1962 issue of ''Scientific American'' in the ''Mathematical Games'' column. Abbott 1997, pp. vii-ix Examples ''Theseus and the Minotaur Theseus and the Minotaur is a type of logic maze designed by Robert Abbott. In this maze, the player acts as Theseus, the king of Athens who is attemp ...
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Induction Puzzles
Induction puzzles are logic puzzles, which are examples of multi-agent reasoning, where the solution evolves along with the principle of induction. A puzzle's scenario always involves multiple players with the same reasoning capability, who go through the same reasoning steps. According to the principle of induction, a solution to the simplest case makes the solution of the next complicated case obvious. Once the simplest case of the induction puzzle is solved, the whole puzzle is solved subsequently. Typical tell-tale features of these puzzles include any puzzle in which each participant has a given piece of information (usually as common knowledge) about all other participants but not themselves. Also, usually, some kind of hint is given to suggest that the participants can trust each other's intelligence — they are capable of theory of mind (that "every participant knows modus ponens" is common knowledge). Also, the inaction of a participant is a non-verbal communication of ...
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Recreational Mathematics
Recreational mathematics is mathematics carried out for recreation (entertainment) rather than as a strictly research and application-based professional activity or as a part of a student's formal education. Although it is not necessarily limited to being an endeavor for amateurs, many topics in this field require no knowledge of advanced mathematics. Recreational mathematics involves mathematical puzzles and games, often appealing to children and untrained adults, inspiring their further study of the subject. The Mathematical Association of America (MAA) includes recreational mathematics as one of its seventeen Special Interest Groups, commenting: Mathematical competitions (such as those sponsored by mathematical associations) are also categorized under recreational mathematics. Topics Some of the more well-known topics in recreational mathematics are Rubik's Cubes, magic squares, fractals, logic puzzles and mathematical chess problems, but this area of mathematics incl ...
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Mechanical Puzzle
A mechanical puzzle is a puzzle presented as a set of mechanically interlinked pieces in which the solution is to manipulate the whole object or parts of it. While puzzles of this type have been in use by humanity as early as the 3rd century BC, one of the most well-known mechanical puzzles of modern day is the Rubik's Cube, invented by the Hungarian architect Ernő Rubik in 1974. The puzzles are typically designed for a single player, where the goal is for the player to see through the principle of the object, rather than accidentally coming up with the right solution through trial and error. With this in mind, they are often used as an intelligence test or in problem solving training. History The oldest known mechanical puzzle comes from Greece and appeared in the 3rd century BC. The game consists of a square divided into 14 parts, and the aim was to create different shapes from these pieces. This is not easy to do. (see Ostomachion loculus Archimedius) In Iran "puzzle-lo ...
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Logic Programming
Logic programming is a programming paradigm which is largely based on formal logic. Any program written in a logic programming language is a set of sentences in logical form, expressing facts and rules about some problem domain. Major logic programming language families include Prolog, answer set programming (ASP) and Datalog. In all of these languages, rules are written in the form of ''clauses'': :H :- B1, …, Bn. and are read declaratively as logical implications: :H if B1 and … and Bn. H is called the ''head'' of the rule and B1, ..., Bn is called the ''body''. Facts are rules that have no body, and are written in the simplified form: :H. In the simplest case in which H, B1, ..., Bn are all atomic formulae, these clauses are called definite clauses or Horn clauses. However, there are many extensions of this simple case, the most important one being the case in which conditions in the body of a clause can also be negations of atomic formulas. Logic programming languag ...
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List Of Puzzle Video Games
This is a partial list of notable puzzle video games, sorted by general category. Tile matching Tile-matching video games are a type of puzzle video game where the player manipulates tiles in order to make them disappear according to a matching criterion. There are a great number of variations on this theme. Falling block puzzles Puzzle pieces advance into the play area from one or more edges, typically falling into the play area from above. Player must match or arrange individual pieces to achieve the particular objectives defined by each game. *''Alien Hive'' *''Baku Baku Animal'' *''Blueprint 3D'' *''Clockwiser'' *''Columns (video game), Columns'' *''Dialhex'' *''Diminution (video game), Diminution'' *''Dr. Mario'' *''Drop Mania'' *''Faces (video game), Faces'' *''Klax (computer game), Klax'' *''Lumines'' *''Meteos'' *''Navigator (video game), Navigator'' *''Pnickies'' *''Puyo Puyo'' *''Puzzle Fighter, Super Puzzle Fighter II Turbo'' *''Quadrapop'' *''Rampage Puzzle Attack' ...
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:Category:Logic Puzzles
{{Commons category Puzzles A puzzle is a game, problem, or toy that tests a person's ingenuity or knowledge. In a puzzle, the solver is expected to put pieces together ( or take them apart) in a logical way, in order to arrive at the correct or fun solution of the puzzle ... Mathematical puzzles ...
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Zebra Puzzle
The zebra puzzle is a well-known logic puzzle. Many versions of the puzzle exist, including a version published in '' Life International'' magazine on December 17, 1962. The March 25, 1963, issue of ''Life'' contained the solution and the names of several hundred successful solvers from around the world. The puzzle is often called Einstein's Puzzle or Einstein's Riddle because it is said to have been invented by Albert Einstein as a boy; it is also sometimes attributed to Lewis Carroll. However, there is no known evidence for Einstein's or Carroll's authorship and the ''Life International'' version of the puzzle mentions brands of cigarette, such as Kools, that did not exist during Carroll's lifetime or Einstein's boyhood. The Zebra puzzle has been used as a benchmark in the evaluation of computer algorithms for solving constraint satisfaction problems. Description The following version of the puzzle appeared in ''Life International'' in 1962: Solution Assuming that one pe ...
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Magazine
A magazine is a periodical publication, generally published on a regular schedule (often weekly or monthly), containing a variety of content. They are generally financed by advertising, purchase price, prepaid subscriptions, or by a combination of the three. Definition In the technical sense a ''journal'' has continuous pagination throughout a volume. Thus '' Business Week'', which starts each issue anew with page one, is a magazine, but the '' Journal of Business Communication'', which continues the same sequence of pagination throughout the coterminous year, is a journal. Some professional or trade publications are also peer-reviewed, for example the '' Journal of Accountancy''. Non-peer-reviewed academic or professional publications are generally ''professional magazines''. That a publication calls itself a ''journal'' does not make it a journal in the technical sense; ''The Wall Street Journal'' is actually a newspaper. Etymology The word "magazine" derives from Arabic , ...
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Logic Grid
Logic is the study of correct reasoning. It includes both formal and informal logic. Formal logic is the science of deductively valid inferences or of logical truths. It is a formal science investigating how conclusions follow from premises in a topic-neutral way. When used as a countable noun, the term "a logic" refers to a logical formal system that articulates a proof system. Formal logic contrasts with informal logic, which is associated with informal fallacies, critical thinking, and argumentation theory. While there is no general agreement on how formal and informal logic are to be distinguished, one prominent approach associates their difference with whether the studied arguments are expressed in formal or informal languages. Logic plays a central role in multiple fields, such as philosophy, mathematics, computer science, and linguistics. Logic studies arguments, which consist of a set of premises together with a conclusion. Premises and conclusions are usually und ...
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Nonogram
Nonograms, also known as Hanjie, Paint by Numbers, Picross, Griddlers, and Pic-a-Pix, and by various other names, are picture logic puzzles in which cells in a grid must be colored or left blank according to numbers at the side of the grid to reveal a hidden pixel art-like picture. In this puzzle type, the numbers are a form of discrete tomography that measures how many unbroken lines of filled-in squares there are in any given row or column. For example, a clue of "4 8 3" would mean there are sets of four, eight, and three filled squares, in that order, with at least one blank square between successive sets. These puzzles are often black and white—describing a binary image—but they can also be colored. If colored, the number clues are also colored to indicate the color of the squares. Two differently colored numbers may or may not have a space in between them. For example, a black four followed by a red two could mean four black boxes, some empty spaces, and two red boxes, ...
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