A branch of mathematics which attempts to formalize the nature of the set using a minimal collection of independent axioms. Unfortunately, as discovered by its earliest proponents, naive set theory quickly runs into a number of paradoxes (such as Russell's antinomy), so a less sweeping and more formal theory known as axiomatic set theory must be used.
Naive Set Theory
See also
Axiomatic Set Theory, Russell's Antinomy, Set TheoryExplore with Wolfram|Alpha
Cite this as:
Weisstein, Eric W. "Naive Set Theory." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/NaiveSetTheory.html