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Erick Gonzalez Juan Favela Jacob Bautista. Georg Ferdinand Ludwig Philipp Cantor March 3, 1845 Valley Oldest of 6 children Baptized as Lutherans & devoted.

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Presentation on theme: "Erick Gonzalez Juan Favela Jacob Bautista. Georg Ferdinand Ludwig Philipp Cantor March 3, 1845 Valley Oldest of 6 children Baptized as Lutherans & devoted."— Presentation transcript:

1 Erick Gonzalez Juan Favela Jacob Bautista

2

3 Georg Ferdinand Ludwig Philipp Cantor March 3, 1845 Valley Oldest of 6 children Baptized as Lutherans & devoted Christian 3 0ut of 20 letter books Bacon/Shakespear the Realschule in Darmstadt, the Federal Polytechnic Institute, University of Berlin

4 Probleme des Unendlichen: Werk und Leben Georg Cantors (1967) Beitrage (of 1895 & 1897) 1862 devoted his life to Math Leopold Kronecker, continuum hypothesis 1896 mother, 3 years later brother Artist

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6 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 -> A 2 -> B 3 -> C 4 -> D

7 Branch 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.

8 Created 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.

9 First stated the cardinality of the set of integers is strictly smaller than that of the set of real numbers Cantors First Uncountability Proof and Cantors Diagonal Argument Hypothesis proves the extent of the cardinality

10 Nervous Breakdowns Heart Failure Died January 6, 1918

11 Dauben, Joseph Warren Georg Cantor, His Mathematics and Philosophy of the Infinite Ch. 1 Pg. 1-5, Ch.6 Pg Everdell, William R. The First Moderns


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