foundation \Foun*da"tion\, n. [F. fondation, L. fundatio. See
Found to establish.]
1. The act of founding, fixing, establishing, or beginning to
2. That upon which anything is founded; that on which
anything stands, and by which it is supported; the lowest
and supporting layer of a superstructure; groundwork;
Behold, I lay in Zion, for a foundation, a stone . .
. a precious corner stone, a sure foundation. --Is.
The foundation of a free common wealth. --Motley.
3. (Arch.) The lowest and supporting part or member of a
wall, including the base course (see Base course
(a), under Base, n.) and footing courses; in a frame
house, the whole substructure of masonry.
4. A donation or legacy appropriated to support a charitable
institution, and constituting a permanent fund; endowment.
He was entered on the foundation of Westminster.
5. That which is founded, or established by endowment; an
endowed institution or charity.
Against the canon laws of our foundation. --Milton.
Foundation course. See Base course, under Base, n.
Foundation muslin, an open-worked gummed fabric used for
stiffening dresses, bonnets, etc.
Foundation school, in England, an endowed school.
To be on a foundation, to be entitled to a support from the
proceeds of an endowment, as a scholar or a fellow of a
Source: WordNet (r) 1.6 [wn]
n 1: the basis on which something is grounded; "there is little
foundation for his objections"
2: an institution supported by an endowment
3: lowest supporting part of a structure; "it was built on a
base of solid rock"; "he stood at the foot of the tower"
[syn: base, fundament, foot, groundwork, substructure,
4: the fundamental assumptions underlying an explanation; "the
whole argument rested on a basis of conjecture" [syn: basis,
base, fundament, groundwork, cornerstone]
5: a woman's undergarment worn to give shape to the contours of
the body [syn: foundation garment]
6: starting something for the first time [syn: initiation, founding,
institution, origination, creation, instauration]
Source: The Free On-line Dictionary of Computing (13Jul98) [foldoc]
The axiom of foundation states that the membership relation is
well founded, i.e. that any non-empty collection Y of sets has
a member y which is disjoint from Y. This rules out sets
which contain themselves (directly or indirectly).