Essays on the Theory of Numbers

Richard Dedekind; Mathematics; Wooster Woodruff Beman
Dover Publications
 9780486210100
0-486-21010-3

Two most important essays by the famous German mathematician: one provides an arithmetic, rigorous foundation for the irrational numbers, thereby a rigorous meaning of continuity in analysis. The other.

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is an attempt to give logical basis for transfinite numbers and properties of the natural numbers.