Sentence examples for axiomatic system from inspiring English sources

An axiomatic system is consistent if, whenever a wff α is a theorem, ∼α is not a theorem.

This framework covers the axiomatic system proposed by Shenoy and Shafer (1990) [1].

We justify an axiomatic system similar to that used by von Neumann and Morgenstern for choice under risk.

The theory of utility was reduced to an axiomatic system that could be applied to the analysis of consumer behaviour under almost any circumstance.

In France, Jean Le Rond d'Alembert and Joseph-Louis Lagrange succeeded in completely mathematizing mechanics, reducing it to an axiomatic system requiring only mathematical manipulation.

The axiomatic system PM can be shown to be both sound and complete relative to the criterion of validity already given (see above Validity in PC).

Placing his economics in the context of Edwardian iconoclasm and postwar desolation is a powerful corrective to the standard view of economics as an axiomatic system of universal truths.

Employing an axiomatic system in which proof was by direct reduction and indirect reduction or reductio ad impossibile, Aristotle was able to reduce all syllogisms to those of the first figure.

In this way, logicians have finally arrived at a sharp concept of a formal axiomatic system, because it is no longer necessary to leave "mechanical" as a vague nonmathematical concept.

I suspect this is one of the reasons why Peirce did not share Frege's interest in developing an axiomatic system at least for a while until his EG was invented.

The best example of this is Rudolf Carnap's The Logical Structure of the World (1928) Here, Carnap attempted to show that a scientific theory could be understood as a formal axiomatic system that is, a logic.