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Cantor's work is an example of the [[best of the public]], as he never lectured at a university and was even vilified by several leading mathematicians of his time, such as [[Henri Poincare]].  Yet Cantor's revolutionary work proved to be the most influential of all, and David Hilbert praised Cantor as the greatest mathematician since before [[Leonard Euler]].  Hilbert declared, "No one shall expel us from the paradise that Cantor has created for us."

Cantor's work is an example of the [[best of the public]], as he never lectured at a university and was even vilified by several leading mathematicians of his time, such as [[Henri Poincare]].  Yet Cantor's revolutionary work proved to be the most influential of all, and David Hilbert praised Cantor as the greatest mathematician since before [[Leonard Euler]].  Hilbert declared, "No one shall expel us from the paradise that Cantor has created for us."

Cantor was the first to "put [[infinity]] on a firm logical foundation."<ref name="Cantor bio">http://scidiv.bellevuecollege.edu/Math/infinity.html</ref>  His invention of set theory helped him achieve this extraordinary goal.<ref>http://www.engr.iupui.edu/~orr/webpages/cpt120/mathbios/gcant.htm</ref>  He "described a way to do arithmetic with infinite quantities useful to mathematics."<ref name="Cantor bio"/>

'''''Cantor was the first to "put [[infinity]] on a firm logical foundation."'''''<ref name="Cantor bio">http://scidiv.bellevuecollege.edu/Math/infinity.html</ref>  His invention of set theory helped him achieve this extraordinary goal.<ref>http://www.engr.iupui.edu/~orr/webpages/cpt120/mathbios/gcant.htm</ref>  He "described a way to do arithmetic with infinite quantities useful to mathematics."<ref name="Cantor bio"/>

Cantor invented the concept of cardinality and ordered pairs, and proved that some infinities are larger than others.<ref>http://www.economicexpert.com/a/Cardinal:number.html</ref>

Cantor invented the concept of cardinality and ordered pairs, and proved that some infinities are larger than others.<ref>http://www.economicexpert.com/a/Cardinal:number.html</ref>