"axiomatic assumption" is correct and usable in written English.
You can use it to refer to a statement that is generally accepted or assumed to be true without proof or demonstration. For example: "The axiomatic assumption that all people are equal regardless of race or gender is fundamental to a democratic society."
The model of Regenerative Capitalism developed by John Fullerton goes so far as to question whether capitalism's axiomatic assumption of continued compound economic growth is even possible, given planetary limits of various kinds.
He is pulling back the curtain that has for so long obscured the fact that the axiomatic assumption of the superiority of male to female is the fundamental underlying motive force in human history and the model for the subjugation of all other groups and individuals labeled by those who assert dominance over them as inferior.
Despite some evidence to the contrary, this belief has been used as an axiomatic assumption in most genome analysis software packages.
The discovery in the 19th century of consistent alternative geometries, however, precipitated a crisis, for it showed that Euclidean geometry, based on seemingly the most intuitively obvious axiomatic assumptions, did not correspond with reality as mathematicians had believed.
Simple axiomatic assumptions about an ecological system should lead to theoretical predictions that can then be compared with existing data.
The various branches of mathematics are essentially systems of logic that are based on axiomatic starting assumptions.
The properties of the model are derived from the axiomatic biologically motivated assumptions A1 A4 (and are independent of the details of the explicit model Eq. (1), see Mathematical Remarks).
Deploying a range of sophisticated logical arguments developed over the last 25 years, Christian philosophers have revived faith as a subject of rigorous academic debate, steadily chipping away at the assumption -- all but axiomatic in philosophy since the Enlightenment -- that belief in God is logically indefensible.
We offer several related definitions of belief as knowledge-relative-to-assumptions, and provide complete axiomatic systems for the resulting notions of belief.
However, on the assumption that programming languages are axiomatic theories of computation, there is a simple characterization.
When Euclid presented his axiomatic treatment of geometry, one of his assumptions, his fifth postulate, appeared to be less obvious or fundamental than the others.
