1943 bk ESSAYS Theory of Numbers DEDEKIND continuity irrational, nature meaning

Description: This is Essays of the Theory of Numbers - I. Continuity and Irrational Numbers; II. The Nature and Meaning of Numbers. by Richard Dedekind. Translated from the German by Wooster W. Beman. Published in 1942 (4th printing) by Open Court Publishing Co. 115 pages. 'This volume contains the two most important essays on the logical foundations of the number system by the famous German mathematician J. W. R. Dedekind. The first presents Dedekind's theory of the irrational number-the Dedekind cut idea-perhaps the most famous of several such theories created in the 19th century to give a precise meaning to irrational numbers, which had been used on an intuitive basis since Greek times. This paper provided a purely arithmetic and perfectly rigorous foundation for the irrational numbers and thereby a rigorous meaning of continuity in analysis. The second essay is an attempt to give a logical basis for transfinite numbers and properties of the natural numbers. It examines the notion of natural numbers, the distinction between finite and transfinite (infinite) whole numbers, and the logical validity of the type of proof called mathematical or complete induction. The contents of these essays belong to the foundations of mathematics and will be welcomed by those who are prepared to look into the somewhat subtle meanings of the elements of our number system. As a major work of an important mathematician, the book deserves a place in the personal library of every practicing mathematician and every teacher and historian of mathematics..." Please see photos for more on contents and condition. Hardcovers have some fading / discoloration at spine and back. Previous owner's stickers on flyleaf. Pages are clean, starting to tone. Thanks for looking !r202

Price: 35.16 USD

Location: Athens, Georgia

End Time: 2024-12-28T20:51:23.000Z

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