## Contributions to the Founding of the Theory of Transfinite Numbers |

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User Review - Landric - LibraryThingAs a teenager studying mathematics, I was fascinated by Cantor's notion of an infinity of infinities. Then I bought this book and read the arguments behind his theories, and realized that, although he ... Read full review

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absolutely infinite aggregate F Aleph-one algebraic analytic functions arithmetic Augustus De Morgan belong Cantor cardinal number n0 Cauchy conception condition consequently contained continuum corresponding elements Crelle's Journal defined denote derivatives determined e-number element f element m0 elements of F equal equation equivalent everywhere dense finite cardinal number finite number following theorem formula fundamental series geometry Georg Cantor given greater Grundlagen Hankel imaging infinite aggregate infinity integers interval irrational numbers least limiting element logical lowest element Math mathematics memoir numerical magnitude order of magnitude order of precedence ordinal type philosophy point-aggregate points principle proof Proof.—If proved rank rational numbers real numbers relations of precedence Riemann second kind second number-class segment of F similar segment simply infinite series simply ordered aggregate theory of functions theory of transfinite transfinite cardinal number transfinite numbers translation trigonometrical series values Weierstrass well-ordered aggregate whole number zero