In the description of a mathematical set, the term exclusive denotes that the endpoints of a range are not included within the set. For example, "the integers -2 to 2 exclusive" refers to the set {-1,0,1}; the endpoints, -2 and 2, are excluded. The term is generally applied to discrete elements.
The term exclusive in linguistics refers to first-person non-singular pronouns that don't include the addressee, i.e. we excluding you. Languages with this distinction include: Standard Mandarin, Taiwanese, Austronesian languages like Fijian and Hawaiian, Tok Pisin, and Tamil.
In Boolean logic the exclusive or operator refers to exclusive disjunction, which has a true value if either but not both arguments are true. Distinct from inclusive or (or simply or), which is true if either or both arguments are true.
See also: inclusive.