Hilbert's approach signaled the shift to the modern axiomatic method.

The natural law approach argues that international norms should be based on axiomatic truths.

The axiomatic approach Arrow adopted can treat all conceivable rules ( that are based on preferences ) within one unified framework.

He is one of the founders of the axiomatic approach to quantum field theory, and originated the set of Wightman axioms.

Even in the case of the projective plane alone, the axiomatic approach can result in models not describable via linear algebra.

* Wanda Szmielew ( 1984 ) From Affine to Euclidean Geometry: an axiomatic approach, D. Reidel, ISBN 90-277-1243-3.

Further, its logical axiomatic approach and rigorous proofs remain the cornerstone of mathematics.

Euclid's axiomatic approach and constructive methods were widely influential.

In turn, Hilbert strongly influenced Emmy Noether, to whom we owe much of the abstract and axiomatic approach to the subject.

We may guess that Fowler had made his suggestion because the notion of temperature is in effect a presupposition of thermodynamics that earlier physicists had not felt needed explicit statement as a law of thermodynamics, and because the mood of his time, pursuing a " mechanical " axiomatic approach, wanted such an explicit statement.

In collaboration with Samuel Eilenberg, he was a founder of the axiomatic approach to homology theory.

The approach for internal set theory is the same as that for any new axiomatic system-we construct a model for the new axioms using the elements of a simpler, more trusted, axiom scheme.

Semiclassical gravity can also be deduced from an axiomatic approach.

Many theorists interested in the classical topological theory consider this more axiomatic approach less useful for their purposes.

It has its origins in correspondence discussing the mathematics of games of chance between Blaise Pascal and Pierre de Fermat in the seventeenth century, and was formalized and rendered axiomatic as a distinct branch of mathematics by Andrey Kolmogorov in the twentieth century.

In 1933, Kolmogorov published his book, the Foundations of the Theory of Probability, laying the modern axiomatic foundations of probability theory and establishing his reputation as the world's leading expert in this field.

* Andrey Kolmogorov publishes Foundations of the Theory of Probability, laying the modern axiomatic foundations of probability theory.

In the 1930s, probability theory was put on an axiomatic basis by Andrey Kolmogorov, using the machinery of measure theory.

In 1933 Kolmogorov provided the first axiomatic foundation for the theory of probability.

The constant N depends on how the formal system is effectively represented, and thus does not directly reflect the complexity of the axiomatic system.

In the 60s he developed an axiomatic complexity theory which was independent of concrete machine models.

The scope of his research also includes model theory, generalized Galois theory, axiomatic foundations of quantum theory and relativity, complexity theory, and abstract logics.

A compact and readable summary of his criticisms of conventional " axiomatic " microeconomics, based on a lecture series.

Fluid layouts developed around 2000 as a replacement for HTML-table-based layouts, as a rejection of grid-based design both as a design principle, and as a coding technique, but were very slow to be adopted .< ref group =" note " >- based markup and spacer. GIF images </ ref > The axiomatic assumption is that readers will have screen devices, or windows thereon, of different sizes and that there is nothing the page designer can do to change this.

Z is based on the standard mathematical notation used in axiomatic set theory, lambda calculus, and first-order predicate logic.

A model is called concrete if the meanings assigned are objects and relations from the real world, as opposed to an abstract model which is based on other axiomatic systems.

The mathematical system of natural numbers 0, 1, 2, 3, 4, ... is based on an axiomatic system that was first written down by the mathematician Peano in 1889.

That's not a serious issue for a modern axiomatic mathematician, since the implication of axiom is now a starting point for theory rather than a self-evident plank in a platform based on intuition.

In this sense, formalism lends itself well to disciplines based upon axiomatic systems.

* Algebraic semantics is a form of axiomatic semantics based on algebraic laws for describing and reasoning about program semantics in a formal manner ;

* In mathematics, an " axiomatic " theory is one based on axioms

For example, Harris suggests signs that a person is in a Parent ego state can include the use of evaluative words that imply judgment based on an automatic, axiomatic and archaic value system: words like ‘ stupid, naughty, ridiculous, disgusting, should or ought ’ ( though the latter can also be used in the Adult ego state ).

In 1917, Bernstein suggested the first axiomatic foundation of probability theory, based on the underlying algebraic structure.

The laws of thought are fundamental axiomatic rules upon which rational discourse itself is based.

The conclusion from several different axiomatic derivations that have been presented is that the Gaussian scale space constitutes the canonical way to generate a linear scale space, based on the essential requirement that new structures must not be created when going from a fine scale to any coarser scale.

It is almost axiomatic that golfers who dominate the game of golf for any period of time attack their shots with a vehemence bordering on violence.

* Dolph Ulrich Purdue, Work on automated discovery of shortest axiomatic bases for systems.

Placing Euclidean geometry on a solid axiomatic basis was a preoccupation of mathematicians for centuries.

In this, Plato carefully phrases three axiomatic restrictions on action or reaction: 1 ) in the same part, 2 ) in the same relation, 3 ) at the same time.

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.

The two Iowa cases of State v. Ellis and State v. Striggles are both used in classes on criminal law to illustrate the concept of reliance upon authority as it relates to the axiomatic ignorantia juris non excusat (" Ignorance of the law is no excuse ").

They argue further that finished mathematics is often accorded too much status, and folk mathematics not enough, due to an over-emphasis on axiomatic proof and peer review as practices.

He proposed that an alien species doing mathematics might well rely on quasi-empirical methods primarily, being willing often to forgo rigorous and axiomatic proofs, and still be doing mathematics — at perhaps a somewhat greater risk of failure of their calculations.

In mathematics, reductionism can be interpreted as the philosophy that all mathematics can ( or ought to ) be built on a common foundation, which is usually axiomatic set theory.

The title was adapted by Raymond F. Streater and Arthur S. Wightman for their ( serious ) textbook on axiomatic quantum field theory, < cite > PCT, Spin and Statistics, and All That </ cite >.

Constantin Carathéodory formulated thermodynamics on a purely mathematical axiomatic foundation.

It gives no indication on which axiomatic system should be prefered as a foundation of mathematics.

Jan Łukasiewicz suggested in 1926 that one could improve on Hilbert systems as a basis for the axiomatic presentation of logic if one allowed the drawing of conclusions from assumptions in the inference rules of the logic.

In particular, this perspective placed little value on fields of mathematics ( such as combinatorics ) whose objects of study are very often special, or found in situations which can only superficially be related to more axiomatic branches of the subject.

Many axiomatic systems were developed in the nineteenth century, including non-Euclidean geometry, the foundations of real analysis, Cantor's set theory and Frege's work on foundations, and Hilbert's ' new ' use of axiomatic method as a research tool.

For example, group theory was first put on an axiomatic basis towards the end of that century.