Set Theory Quiz

Set theory is the branch of mathematical logic that studies sets, which can be informally described as collections of ______

Georg Cantor is commonly considered the founder of set ______

The non-formalized systems investigated during this early stage go under the name of naive set ______

After the discovery of paradoxes within naive set theory (such as Russell's paradox, Cantor's paradox and the Burali-Forti paradox), various axiomatic systems were proposed in the early twentieth century, of which Zermelo–Fraenkel set theory (with or without the axiom of choice) is still the best-known and most studied. Set theory is commonly employed as a foundational system for the whole of ______

The modern study of set theory was initiated by the German mathematicians Richard Dedekind and Georg Cantor in the ______