Sentence examples for axiomatic development from inspiring English sources

The phrase "axiomatic development" is correct and usable in written English.
It can be used in contexts related to mathematics, logic, or philosophy, where principles are established as self-evident truths to build further arguments or theories.
Example: "The axiomatic development of geometry allows for the derivation of complex theorems from simple, accepted postulates."
Alternatives: "foundational development" or "principled development".

Exact(1)

In contrast to naive set theory, the attitude adopted in an axiomatic development of set theory is that it is not necessary to know what the "things" are that are called "sets" or what the relation of membership means.

Similar(59)

It is axiomatic that development of rational strategies to prevent CIN, either by prophylaxis or avoidance of RCM exposure altogether, requires accurate estimates of CIN incidence in populations of interest.

Finally, the development of axiomatic (as opposed to naïve) set theories which exhibit various ingenious and mathematically and philosophically significant ways of dealing with Russell's paradox paved the way for stunning results in the metamathematics of set theory.

Based on the original QFD quality development, the axiomatic design is used to optimize the quality house, to ensure the independence of the parameters, to construct the axiomatic quality house, and to make the quality house more clearly the correlation between the reaction function demand and the design parameters.

But then the development of an axiomatic approach came to an abrupt halt.

Alberto Coffa extends Nagel's analysis by claiming that there was a crisis in the interpretation of primitive geometrical terms in the nineteenth century and that this crisis led to the development of formal axiomatic systems (Coffa 1986).

This proposal incorporated Hilbert's ideas from 1904 regarding direct consistency proofs, his conception of axiomatic systems, and also the technical developments in the axiomatization of mathematics in the work of Russell as well as the further developments carried out by him and his collaborators.

Suh's axiomatic design is used for this development.

Arithmetic and analysis are completely conceptual and logical in their axiomatic sources and in their deductive development.

Set-theoretic mathematics continued its development into the powerful axiomatic and structural approach that was to dominate much of the 20th century.

In this paper we show how the integration of environmental considerations early in the process of axiomatic design can lead to the development of an environmental-friendly product or service.

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