Axiomatic

Attempting to achieve this would be the realm of axiomatic set theory or of axiomatic class theory.

Axiomatic probability The mathematics of probability can be developed on an entirely axiomatic basis that is independent of any interpretation: see the articles on probability theory and probability axioms for a detailed treatment.

Axiomatic theories Axiomatic set theory was developed in response to these early attempts to understand sets, with the goal of determining precisely what operations were allowed and when.

Current approaches Axiomatic assumptions Some thinkers seek to articulate axiomatic assumptions on which science may be based, a form of foundationalism.

I believe in G-d (also for rational reasons), and it is axiomatic that if there is a just G-d, there is an afterlife.

It is axiomatic in the transit world to say that building more highways does not alleviate congestion.

As a “think” tank, it is axiomatic, you want what donors and “stakeholders” want, not what people want.

It is almost axiomatic that authoritarians are going to authoritarian if a pandemic presents them with opportunities to do so.

Although the impossibility of predicting future recessions seems almost axiomatic, a growing crowd of economists, pundits and market participants have added their voices to the chorus proclaiming an impending recession in 2019 or 2020.

And the Baptist thesis has now become axiomatic for the school of black scholarship represented by Ta-Nahisi Coates.

It is axiomatic that the postwar political economy, with all its distortions, has now run its course.

On Friday, Epic said it had raised $1.25 billion from a group that included investment firms like KKR, plus aXiomatic, the owner of the e-sports company Team Liquid.

The problem is that Bernard and many much less astute journos weren’t calling out these terrible policies when they were being enacted, because they were in thrall of economic axioms that proved not to be axiomatic, or remotely correct.

Although the presentation is axiomatic rather than naive, Suppes proves and discusses many of Cantor's results, which demonstrates Cantor's continued importance for the edifice of foundational mathematics.

A special case of this, an axiomatic theory, consists of axioms (or axiom schemata) and rules of inference.

Axiomatic approach In another approach to the surreals, given by Alling, citation explicit construction is bypassed altogether.

Axiomatic approach Richard T. Cox showed that Bayesian updating follows from several axioms, including two functional equations and a hypothesis of differentiability.

Axiomatic formulations Geometry is the science of correct reasoning on incorrect figures.

Axiomatic set theory was at that point not yet formulated.

Axiomatic set theory was originally devised to rid set theory of such paradoxes.