## 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 aggre aggregate F Aleph-one analytic functions arithmetic belong Cantor Cauchy commutative law concept of number condition consequently contained continuum corresponding elements defined denote derivatives determined e-number element f elements of F equal equation equivalent everywhere dense F and G finite cardinal number finite number following theorem formulae fundamental series Georg Cantor given Grundlagen Hankel imaging infinite aggregate infinity integers interval irrational numbers limiting element logical lowest element Math mathematics memoir numerical magnitude order of magnitude order of precedence ordinal type point-aggregate 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 aggregates theory of functions theory of transfinite totality transfinite aggregate transfinite cardinal number transfinite numbers trigonometrical series values Weierstrass well-ordered aggregate whole number zero