Naive set theory

Naive set theory1 is distinguished from axiomatic set theory by the fact that the former regards sets as collections of objects, called the elements or members of the set, whereas the latter regards sets only as that which satisfies certain axioms. Sets are of great importance in mathematics; in fact, in modern formal treatments, most mathematical objects (numbers, relations, functions, etc.) are defined in terms of sets.

Related Topics:
1 - Axiomatic set theory - Set - Mathematics - Number - Relation - Function

~ ~ ~ ~ ~ ~ ~ ~ ~ ~