## A history of set theory |

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abstract algebraic numbers analysis axiom of choice Axiomatic Set Theory Burali-Forti paradox Cantor's paper CEEB century CHAPTER Commission Committee congruent continuum hypothesis countable Dedekind defined denote dense elementary elements equivalent Ernst Zermelo essay of 16 exists finite number finite set formalist foundations of mathematics Fraenkel geometry Georg Cantor given grade subgroup Grundlagen high school History of Set Ibid ideas important impredicative definitions infinite set introduction intuitionist irrational numbers Kronecker Kronecker's letter limit point logic mathe mathematicians mathematics curriculum Mathematische Annalen matics measures assigned natural numbers NCTM one-to-one correspondence order types ordered set ordinal perfect sets point sets proof proved published real numbers Russell Russell paradox second number class sequence set concepts set of natural set of real sixth essay SMSG subset theorem theory of point theory of sets theory of transfinite tion topics transfinite numbers Ueber UICSM UMMaP University Volume W. H. Young Weierstrass well-ordered set Zermelo