Inclusive

[in-kloo-siv] /ɪnˈklu sɪv/

adjective
1.
or encompassing the stated limit or extremes in consideration or account (usually used postpositively):
from 6 to 37 inclusive.
2.
including a great deal, or encompassing everything concerned; comprehensive:
an inclusive art form; an inclusive fee.
3.
enclosing; embracing:
an inclusive fence.
4.
Grammar. (of the first person plural) including the person or persons spoken to, as we in Shall we dance?
Compare (def 12).
Idioms
5.
inclusive of, including; also taking into account:
Europe, inclusive of the British Isles, is negotiating new trade agreements.
/ɪnˈkluːsɪv/
adjective
1.
(postpositive) foll by of. considered together (with): capital inclusive of profit
2.
(postpositive) including the limits specified: Monday to Friday inclusive is five days
3.
comprehensive
4.
not excluding any particular groups of people: an inclusive society
5.
(logic) (of a disjunction) true if at least one of its component propositions is true Compare exclusive (sense 10)
adj.

mid-15c., from Medieval Latin inclusivus, from Latin inclus-, past participle stem of includere (see include). Related: Inclusively; inclusiveness.

theory
In domain theory, a predicate P : D -> Bool is inclusive iff
For any chain C, a subset of D, and for all c in C, P(c) => P(lub C)
In other words, if the predicate holds for all elements of an increasing sequence then it holds for their least upper bound.
(“lub is written in LaTeX as \sqcup).
(1995-02-03)