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A mathematical system is a structure formed from one or more sets of undefined objects, various concepts which may or may not be defined, and a set of axioms relating these objects and concepts.

It iis a set S={E,O,A} where:

E is a non-empty set of elements;

O is a set of relations and operations on the elements of E;

A is a set of axioms concerning the elements of E and O.

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