Property (mathematics)

In mathematics, a property is any characteristic that applies to a given set.[1] Rigorously, a property p defined for all elements of a set X is usually defined as a function p: X → {true, false}, that is true whenever the property holds; or equivalently, as the subset of X for which p holds; i.e. the set {x | p(x) = true}; p is its indicator function. However, it may be objected that the rigorous definition defines merely the extension of a property, and says nothing about what causes the property to hold for exactly those values.

For other uses, see Property (disambiguation).

Examples of properties include the commutative property of real and complex numbers and the distributive property.

See also

References
  1. https://www.mathsisfun.com/sets/sets-introduction.html Retrieved October 15 2018
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