The phrase "accepted as axiomatic" is correct and usable in written English.
It can be used in contexts where a statement or principle is widely recognized as self-evident or universally accepted without needing proof.
Example: "In mathematics, certain principles are accepted as axiomatic, forming the foundation for further theories."
Alternatives: "regarded as self-evident" or "considered a given".
Aristotle somewhat similarly had argued that the logical principle of noncontradiction, which he took to express a highly general truth about the world, must be accepted as axiomatic on the ground that its correctness is presupposed in any argument directed against it.
The Tracking Excavator project is an effort to quantify a trend we all have more or less accepted as axiomatic: as the web has grown, third-party trackers, from advertisers to analytics, have grown with it.
It is accepted as axiomatic that they exploit their drivers; they brazenly reject the rule of democratic law, while simultaneously kowtowing to authoritarian China; they use vicious and/or deceitful tactics; and they ignore the needs of the disabled.
Although psychologists are perfectly aware of this, they may have accepted the judgment of a room full of intelligence officials who accepted as axiomatic that torture was a good way to get information.
But as the book explains, corporate boards are collectively delusional; they accept as axiomatic beliefs about CEO compensation that are demonstrably false.
If we now conceive of demons and their ilk as repressed conflicts and developmental traumas and accept as axiomatic that the self is not limited to what we are strictly conscious of even when fully awake, we also suppose our behaviors are pregnant with hidden meanings and that our psyches speak in codes only $200-an-hour masterminds can crack.
Political experts, who at times earn their keep by getting things wrong a day or two ahead of everyone else, accept as axiomatic that New Yorkers in summertime can't worry their pretty little heads about events much weightier than Paris Hilton's latest arrest.
Accepting as axiomatic their central idea, viewing history as a moving process, and elaborating their core idea to explain this historical process, ideologies develop self-contained explanations of all of history.
In Poland, metaphysics was not rejected as nonsense, but accepted as a respectable area of investigation to be explored using rigorous methods, including axiomatics (see Smith 1988, 315 6) Like anyone in pre-set theoretical times, Twardowski has a very broad notion of (proper) part, covering much more than just the pieces of an object.
The intuitionistic calculus aims at presenting in axiomatic form those and only those principles of propositional logic that are accepted as sound in intuitionist mathematics.
