The phrase "axiomatic method" is correct and usable in written English.
It can be used in contexts related to philosophy, mathematics, or logic, where a method based on axioms is being discussed.
Example: "The axiomatic method provides a solid foundation for building complex theories in mathematics."
Alternatives: "axiomatic approach" or "axiomatic framework".
See also axiomatic method; formal system; inference.
Perhaps the most important contribution to the foundations of mathematics made by the ancient Greeks was the axiomatic method and the notion of proof.
Two questions about the axiomatic method were left unanswered by the ancients: are all mathematical truths axioms or theorems (this is referred to as completeness), and can it be determined mechanically whether a given statement is a theorem (this is called decidability)?
Although in general outline the present account of Greek mathematics is secure, in such important matters as the origin of the axiomatic method, the pre-Euclidean theory of ratios, and the discovery of the conic sections, historians have given competing accounts based on fragmentary texts, quotations of early writings culled from nonmathematical sources, and a considerable amount of conjecture.
Within this approach, Arrow's axiomatic method is perhaps even more influential than his impossibility theorem (on the axiomatic method, see Thomson 2000).
An axiomatic method was applied to icon design.
Nevertheless, there are similarities between the constructive and the axiomatic methods.
Recently, this theory has been integrated with formal concept analysis in two different ways: constructive and axiomatic methods.
The research progresses related to the reliability Axiomatic Design method are intensively analyzed.
The axiomatic design method guides the designer finding suitable design parameters to meet the needs of function requirements.
The results show that the dynamics design process and hydrostatic spindle can be optimized using the axiomatic design method.
