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:

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    —Thomas Henry Huxley (1825–95)

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