What are order theories?

Some articles on order theories, order, theories:

First-order Logic - Semantics - First-order Theories, Models, and Elementary Classes
... Further information List of first-order theories A first-order theory consists of a set of axioms in a particular first-order signature ... Some authors require theories to also include all logical consequences of the axioms ... A first-order structure that satisfies all sentences in a given theory is said to be a model of the theory ...
First-order Logic
... First-order logic is a formal system used in mathematics, philosophy, linguistics, and computer science ... It is also known as first-order predicate calculus, the lower predicate calculus, quantification theory, and predicate logic (a less precise term) ... First-order logic is distinguished from propositional logic by its use of quantified variables ...

Famous quotes containing the words theories and/or order:

    Whatever practical people may say, this world is, after all, absolutely governed by ideas, and very often by the wildest and most hypothetical ideas. It is a matter of the very greatest importance that our theories of things that seem a long way apart from our daily lives, should be as far as possible true, and as far as possible removed from error.
    Thomas Henry Huxley (1825–95)

    How all becomes clear and simple when one opens an eye on the within, having of course previously exposed it to the without, in order to benefit by the contrast.
    Samuel Beckett (1906–1989)