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Bridge And Torch Problem
The bridge and torch problem (also known as ''The Midnight Train'' and ''Dangerous crossing'') is a logic puzzle that deals with four people, a bridge and a torch A torch is a stick with combustible material at one end, which is ignited and used as a light source. Torches have been used throughout history, and are still used in processions, symbolic and religious events, and in juggling entertainment. In .... It is in the category of river crossing puzzles, where a number of objects must move across a river, with some constraints.Tricky Crossings
, Ivars Peterson, ''Science News'', 164, #24 (December 13, 2003); accessed on line February 7, 2008.


Story

Four people come to a river in the night. There is a narrow bridge, and it can only hold two people at a time. They have one torch and, because it's nig ...
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Logic Puzzle
A logic puzzle is a puzzle deriving from the mathematical field of 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 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 and knaves" puzzles, which involve knights, who al ...
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Torch
A torch is a stick with combustible material at one end, which is ignited and used as a light source. Torches have been used throughout history, and are still used in processions, symbolic and religious events, and in juggling entertainment. In some countries "torch" in modern usage is the term for a battery-operated portable light. Etymology From the Old French "''torche''" meaning "twisted thing", hence "torch formed of twisted tow dipped in wax", probably from Vulgar Latin *''torca'', alteration of Late Latin ''torqua'', variant of classical Latin ''torques'' "collar of twisted metal", from ''torquere'' "to twist". Torch construction Torch construction has varied through history depending on the torch's purpose. Torches were usually constructed of a wooden stave with one end wrapped in a material which was soaked in a flammable substance. In the United States, black bear bones may have been used. Modern procession torches are made from coarse hessian rolled into a tube a ...
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River Crossing Puzzle
A river crossing puzzle is a type of puzzle in which the object is to carry items from one river bank to another, usually in the fewest trips. The difficulty of the puzzle may arise from restrictions on which or how many items can be transported at the same time, or which or how many items may be safely left together.. The setting may vary cosmetically, for example, by replacing the river by a bridge. The earliest known river-crossing problems occur in the manuscript '' Propositiones ad Acuendos Juvenes'' ( en, Problems to sharpen the young), traditionally said to be written by Alcuin. The earliest copies of this manuscript date from the 9th century; it contains three river-crossing problems, including the fox, goose and bag of beans puzzle and the jealous husbands problem. Well-known river-crossing puzzles include: * The fox, goose and bag of beans puzzle, in which a farmer must transport a fox, goose and bag of beans from one side of a river to another using a boat which c ...
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Graph Theory
In mathematics, graph theory is the study of '' graphs'', which are mathematical structures used to model pairwise relations between objects. A graph in this context is made up of '' vertices'' (also called ''nodes'' or ''points'') which are connected by ''edges'' (also called ''links'' or ''lines''). A distinction is made between undirected graphs, where edges link two vertices symmetrically, and directed graphs, where edges link two vertices asymmetrically. Graphs are one of the principal objects of study in discrete mathematics. Definitions Definitions in graph theory vary. The following are some of the more basic ways of defining graphs and related mathematical structures. Graph In one restricted but very common sense of the term, a graph is an ordered pair G=(V,E) comprising: * V, a set of vertices (also called nodes or points); * E \subseteq \, a set of edges (also called links or lines), which are unordered pairs of vertices (that is, an edge is associated with t ...
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Search Problem
Searching or search may refer to: Computing technology * Search algorithm, including keyword search ** :Search algorithms * Search and optimization for problem solving in artificial intelligence * Search engine technology, software for finding information ** Enterprise search, software or services for finding information within organizations ** Web search engine, a service for finding information on the World Wide Web Music * Search (band), a Malaysian rock band * "Searchin'", a 1957 song originally performed by The Coasters * "Searching" (China Black song), a 1991 song by China Black * "Searchin'" (CeCe Peniston song), a 1993 song by CeCe Peniston * "Searchin' (I Gotta Find a Man)", a 1983 dance song by Hazell Dean * "Searching" (INXS song), a 1997 song by INXS * "Searching" (Pete Rock & CL Smooth song), a 1995 song from the Pete Rock & CL Smooth album ''The Main Ingredient'' * ''Searching'', a 2013 album by Jay Diggins * "Searching", a 1980 single by Change * "Searching" ...
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From Bacteria To Bach And Back
''From Bacteria to Bach and Back: The Evolution of Minds'' is a 2017 book about the origin of human consciousness by the philosopher Daniel Dennett, in which the author makes a case for a materialist theory of mind, arguing that consciousness is no more mysterious than gravity. Drawing on ideas from René Descartes and Charles Darwin, Dennett writes that: :'... natural systems can create "competence without comprehension"—that is, situations in which sophisticated actions occur without the individual or machine involved understanding the reasons for the actions taken.' and that: :'a comprehending mind could in fact have arisen from a mindless process of natural selection. ...' Critical reception Physician Harriet Hall reviewing the book for ''Skeptical Inquirer'' magazine, said that "Dennett is always worth reading, and this latest book distills his current thinking and all he has learned over the years". He discusses many "conundrums with facts and arguments from evolution an ...
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River Crossing Puzzle
A river crossing puzzle is a type of puzzle in which the object is to carry items from one river bank to another, usually in the fewest trips. The difficulty of the puzzle may arise from restrictions on which or how many items can be transported at the same time, or which or how many items may be safely left together.. The setting may vary cosmetically, for example, by replacing the river by a bridge. The earliest known river-crossing problems occur in the manuscript '' Propositiones ad Acuendos Juvenes'' ( en, Problems to sharpen the young), traditionally said to be written by Alcuin. The earliest copies of this manuscript date from the 9th century; it contains three river-crossing problems, including the fox, goose and bag of beans puzzle and the jealous husbands problem. Well-known river-crossing puzzles include: * The fox, goose and bag of beans puzzle, in which a farmer must transport a fox, goose and bag of beans from one side of a river to another using a boat which c ...
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Combinatorial Optimization
Combinatorial optimization is a subfield of mathematical optimization that consists of finding an optimal object from a finite set of objects, where the set of feasible solutions is discrete or can be reduced to a discrete set. Typical combinatorial optimization problems are the travelling salesman problem ("TSP"), the minimum spanning tree problem ("MST"), and the knapsack problem. In many such problems, such as the ones previously mentioned, exhaustive search is not tractable, and so specialized algorithms that quickly rule out large parts of the search space or approximation algorithms must be resorted to instead. Combinatorial optimization is related to operations research, algorithm theory, and computational complexity theory. It has important applications in several fields, including artificial intelligence, machine learning, auction theory, software engineering, VLSI, applied mathematics and theoretical computer science. Some research literature considers discre ...
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