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Definition of Set: In modern mathematics, set theory (especially following the Zermelo-Fraenkel axioms) is taken as the foundation for mathematics. With this foundation, "everything" is considered to be a set. Every number, function, triangle,etc., can be viewed as a set.
The word set is "primitive"; it is not defined in terms of other words.
This definition logically relies on the following definitions and statements:
To visualize the logical connections between this definition and other items of mathematical knowledge, you can visit any of the following clusters, and click the "Visualize" tab: Clust/Basic set theory, Clust/Logic and foundations