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In the game of Vish (short for vicious circle), players compete to find circularity in dictionary definitions. [1] Irish mathematician and physicist, John Lighton Synge, invented the multi-player, refereed game to emphasize the circular reasoning implicit in the defining process of any standard dictionary.
Other terms, such as "circle", have their meanings tacitly changed to work in complex projective space; for example, a circle in complex algebraic geometry is a conic passing through the circular points at infinity and has underlying topological space a 2-sphere rather than a 1-sphere.
Rigor is a cornerstone quality of mathematics, and can play an important role in preventing mathematics from degenerating into fallacies. well-behaved An object is well-behaved (in contrast with being Pathological ) if it satisfies certain prevailing regularity properties, or if it conforms to mathematical intuition (even though intuition can ...
A mathematical symbol is a figure or a combination of figures that is used to represent a mathematical object, an action on mathematical objects, a relation between mathematical objects, or for structuring the other symbols that occur in a formula. As formulas are entirely constituted with symbols of various types, many symbols are needed for ...
Glossary of game theory; ... Glossary of mathematical symbols; Glossary of symplectic geometry; ... additional terms may apply.
Some of these symbols are used in Z notation. Specifically U+2981 ⦁ Z NOTATION SPOT; U+2982 ⦂ Z NOTATION TYPE COLON; U+2987 ⦇ Z NOTATION LEFT IMAGE BRACKET; U+2988 ⦈ Z NOTATION RIGHT IMAGE BRACKET; U+2989 ⦉ Z NOTATION LEFT BINDING BRACKET; U+298A ⦊ Z NOTATION RIGHT BINDING BRACKET; The last two symbols are used in combinatorial game ...
L game; L-shaped recession; Lemniscate, the shape that resembles the infinity symbol; M-shape, the shape that resembles the capital letter M (interchangeable with the W-shape) N-shape, the shape that resembles the capital letter N (interchangeable with the Z-shape) O-shape, the shape that resembles the capital letter O. O-ring
Another argument for the impossibility of circular realizations, by Helge Tverberg, uses inversive geometry to transform any three circles so that one of them becomes a line, making it easier to argue that the other two circles do not link with it to form the Borromean rings. [27] However, the Borromean rings can be realized using ellipses. [2]