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Set theory is the branch of mathematical logic that studies sets, which can be informally described as collections of ______
Set theory is the branch of mathematical logic that studies sets, which can be informally described as collections of ______
objects
Georg Cantor is commonly considered the founder of set ______
Georg Cantor is commonly considered the founder of set ______
theory
The non-formalized systems investigated during this early stage go under the name of naive set ______
The non-formalized systems investigated during this early stage go under the name of naive set ______
theory
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 ______
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 ______
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The modern study of set theory was initiated by the German mathematicians Richard Dedekind and Georg Cantor in the ______
The modern study of set theory was initiated by the German mathematicians Richard Dedekind and Georg Cantor in the ______
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