Logic symbol resembling a "V"
The descending wedge symbol ∨ may represent:
The vertically reflected symbol, ∧, is a wedge , and often denotes related or dual operators.
The ∨ symbol was introduced by Russell and Whitehead in Principia Mathematica , where they called it the Logical Sum or Disjunctive Function .[ 1]
In Unicode the symbol is encoded U+2228 ∨ LOGICAL OR (∨, ∨ ). In TeX , it is \vee
or \lor
.
One motivation and the most probable explanation for the choice of the symbol ∨ is the latin word "vel" meaning "or" in the inclusive sense. Several authors use "vel" as name of the "or" function.[ 2] [ 3] [ 4] [ 5] [ 6] [ 7] [ 8] [ 9]
^ Whitehead, Alfred North (2005). Principia mathematica, by Alfred North Whitehead ... and Bertrand Russell .
^ Rueff, Marcel; Jeger, Max (1970). Sets and Boolean Algebra . American Elsevier Publishing Company. ISBN 978-0-444-19751-1 .
^ Trappl, Robert (1975). Progress in Cybernetics and Systems Research . Hemisphere Publishing Corporation. ISBN 978-0-89116-240-7 .
^ Constable, Robert L. (1986). Implementing Mathematics with the Nuprl Proof Development System . Prentice-Hall. ISBN 978-0-13-451832-9 .
^ Malatesta, Michele (1997). The Primary Logic: Instruments for a Dialogue Between the Two Cultures . Gracewing Publishing. ISBN 978-0-85244-499-3 .
^ Harris, John W.; Stöcker, Horst (1998-07-23). Handbook of Mathematics and Computational Science . Springer Science & Business Media. ISBN 978-0-387-94746-4 .
^ Tidman, Paul; Kahane, Howard (2003). Logic and Philosophy: A Modern Introduction . Wadsworth/Thomson Learning. ISBN 978-0-534-56172-7 .
^ Kudryavtsev, Valery B.; Rosenberg, Ivo G. (2006-01-18). Structural Theory of Automata, Semigroups, and Universal Algebra: Proceedings of the NATO Advanced Study Institute on Structural Theory of Automata, Semigroups and Universal Algebra, Montreal, Quebec, Canada, 7-18 July 2003 . Springer Science & Business Media. ISBN 978-1-4020-3817-4 .
^ Denecke, Klaus; Wismath, Shelly L. (2009). Universal Algebra and Coalgebra . World Scientific. ISBN 978-981-283-745-5 .