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What (who) is axiomatic extension - definition

SET OF AXIOMS FROM WHICH SOME OR ALL AXIOMS CAN BE USED IN CONJUNCTION TO LOGICALLY DERIVE THEOREMS

Axiomatization; Axiomatisation; Axiomatic method; Axiomatic framework; Axiom system; Axiomatic reasoning; Hilbert-style calculi; Axiomatic theory; Axiomatic definition; Axiomatic approach; Axiomatic logic; Axiomatic proof; Axiomatic System

Axiomatic system

In mathematics and logic, an axiomatic system is any set of axioms from which some or all axioms can be used in conjunction to logically derive theorems. A theory is a consistent, relatively-self-contained body of knowledge which usually contains an axiomatic system and all its derived theorems.

https://en.wikipedia.org/wiki/Axiomatic_system

Group extension

GROUP FOR WHICH A GIVEN GROUP IS A NORMAL SUBGROUP

Extension problem; Extension (algebra); Split extension; Extension of a group; Central extension (mathematics)

In mathematics, a group extension is a general means of describing a group in terms of a particular normal subgroup and quotient group. If Q and N are two groups, then G is an extension of Q by N if there is a short exact sequence

https://en.wikipedia.org/wiki/Group_extension

Extension (metaphysics)

THE PROPERTY OF STRETCHING OUT OR TAKING UP SPACE

Physical extension

In metaphysics, extension signifies both 'stretching out' (Latin: extensio) as well as later 'taking up space', and most recently, spreading one's internal mental cognition into the external world.

https://en.wikipedia.org/wiki/Extension_(metaphysics)

Wikipedia

Axiomatic system

In mathematics and logic, an axiomatic system is any set of axioms from which some or all axioms can be used in conjunction to logically derive theorems. A theory is a consistent, relatively-self-contained body of knowledge which usually contains an axiomatic system and all its derived theorems. An axiomatic system that is completely described is a special kind of formal system. A formal theory is an axiomatic system (usually formulated within model theory) that describes a set of sentences that is closed under logical implication. A formal proof is a complete rendition of a mathematical proof within a formal system.

https://en.wikipedia.org/wiki/Axiomatic system