3Life/Leben Georg Ferdinand Ludwig Philipp Cantor March 3, 1845 Valley Oldest of 6 childrenBaptized as Lutherans & devoted Christian3 0ut of 20 letter booksBacon/Shakespearthe Realschule in Darmstadt, the Federal Polytechnic Institute, University of Berlin
4Probleme des Unendlichen: Werk und Leben Georg Cantors (1967) Beitrage (of 1895 & 1897)1862 devoted his life to MathLeopold Kronecker, continuum hypothesis1896 mother, 3 years later brotherArtist
61-to-1 Correspondence between line segment and unit square “for any positive integer n, there exists a 1-to-1 correspondence between the points in an n-dimensional space.”1 -> A2 -> B3 -> C4 -> D
7The Set TheoryBranch of Math was in an article called ("On a Property of the Collection of All Real Algebraic Numbers").[Proved that real numbers and positive integers are not equinumerous.
8Continuum HypothesisCreated in 1877 about the possible sizes of infinite sets“There is no set whose cardinality is strictly between that of the integers and that of the real numbers.”
9Cont.First stated “the cardinality of the set of integers is strictly smaller than that of the set of real numbers”Cantor’s First Uncountability Proof and Cantor’s Diagonal ArgumentHypothesis proves the extent of the cardinality
10DeathNervous BreakdownsHeart FailureDied January 6, 1918
11ReferencesDauben, Joseph Warren “Georg Cantor, His Mathematics and Philosophy of the Infinite” Ch. 1 Pg. 1-5, Ch.6 PgEverdell, William R. “The First Moderns”. 1997