# logical axiom in a sentence

1) Thus non-logical axioms, unlike logical axioms, are not "tautologies".

2) We fix some axiomatization of the predicate calculus: logical axioms and rules of inference.

axiom collocations
3) Typical Hilbert-style systems have a small number of rules of inference, along with several infinite schemes of logical axioms.

4) The logical axioms consist of several axiom schemes of logically valid formulas; these encompass a significant amount of propositional logic.

## logical axiom example sentences

5) Aristotle referred to such commonly held beliefs not as "koinai doxai", which is a term he used for self-evident logical axioms, but with other terms such as "endoxa".

6) Researchers match missions to the capabilities of available resources, defining ontology as "a set of logical axioms designed to account for the intended meaning of a vocabulary.

7) This is the operator associating any set "X" of formulas with the set "J(X)" of formulas which are either logical axioms or are obtained by an inference rule from formulas in "X" or are in "X".

8) A deductive system for a logic is a set of inference rules and logical axioms that determine which sequences of formulas constitute valid proofs.

9) According to Carnap's "Logicist Foundations of Mathematics", Russell wanted a theory that could plausibly be said to derive all of mathematics from purely logical axioms.

10) One seemingly peculiar, but within the overall framework strictly logical, axiom of Luhmann's theory is the human being's position outside any social system, initially developed by Parsons.

11) However, natural deduction systems have no logical axioms; they compensate by adding additional rules of inference that can be used to manipulate the logical connectives in formulas in the proof.

12) A deductive system consists of a set __FORMULA__ of logical axioms, a set __FORMULA__ of non-logical axioms, and a set __FORMULA__ of "rules of inference".

13) These axiom schemata are also used in the predicate calculus, but additional logical axioms are needed to include a quantifier in the calculus.

14) In mathematics, the term axiom is used in two related but distinguishable senses : " logical axioms" and "non-logical axioms" .

### example sentences with axiom

15) ' There are at least six logical axioms or principles that show what people mean whenever they make statements about 'necessity' or 'possibility' (described below).

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