# axiomatization

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## axiomatization

(ˌæksɪˌɒmətaɪˈzeɪʃən) or

## axiomatisation

n
the process of reducing down to a system of basic truths, or axioms
References in periodicals archive ?
That paradigm is to derive results in the context of an axiomatic system.
A set of neutrosophic axioms [OMEGA] is called neutrosophic axiomatic system, where the neutrosophic deducing and the neutrosophic inference (neutrosophic implication) are used.
The great Austrian mathematician Kurt Godel shook up the academic world by proving for any computable axiomatic system powerful enough to describe the arithmetic of the natural numbers that, one, if the system is consistent, it cannot be complete ("incompleteness theorem"), and two, the consistency of the axioms cannot be proved within the system.
I think that is a false assumption, which led to a false interpretation that in turn led to an axiomatic system that does not resemble reality very much.
No consistent axiomatic system proves all mathematical truths.
There is no set of all sets--it leads to contradictions both in naive set theory and in the axiomatic system Badiou chooses--hence there is no totality of Being, no ontological absolute.
The transition from classical mechanics to quantum mechanics has meant a significant change in the axiomatic system and main laws of classical mechanics.
27] that "An axiomatic system is in general constructed in order to axiomatize a certain scientific discipline previously given in a pre-systematic, "naive", or 'genetic' form".
We framed the results of this analysis as an axiomatic system, explicitly based on the non-Aristotelian premises of Korzybski (1941), and stated in a mathematical language of known structure--an algebraic dialect of the WIE mathematical theory of sets.
Consequently, an axiomatic system 'is a formation of our arbitrariness still not made up out of thin air, a creation of the researcher still not without relationship with reality' (Schumpeter 1908, p.
He presents an axiomatic system in which there are principles taken by the knower as prior and primary, embodying what is first in nature.
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