Is it farther or further?
late 14c., "action of founding," from Old French fondacion (14c.) or directly from Latin fundationem (nominative fundatio) "a founding," noun of action from past participle stem of fundare (see found (v.1)). The Latin word is glossed in Old English by staþol. Meaning "that which is founded" (a college, hospital, etc.) is from 1510s; meaning "funds endowed" is early 15c. Sense of "solid base of a structure" is from late 15c.
foundation foun·da·tion (foun-dā'shən)
The basis on which something stands or is supported; a base.
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).