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Braunschweig: Vieweg, 1888. WITH: O. Fischer, Matyas Lerch, E. Phragmen, C. Neumann, C. Meray. 1. DEDEKIND, Richard Was sind und was sollen die Zahlen. Braunschweig: Vieweg and Son, 1888.8vo. xviii, 58 pp., including half-title.First edition, rare, of Dedekind's important work on set theory. His epochal 1872 publication, Stetigkeit und irrationale zahlen, gave the first rigorous definition of the system of real numbers, laying the foundation for much of modern day real analysis and point-set topology. This, his follow-up work, elaborates on his attempts "to derive a purely logical foundation for arithmetic, and devised a number of axioms that formally and exactly represented the logical concept of whole numbers" (DSB). Dedekind (1831-1916), a German mathematician, friend and colleague of Georg Cantor, claimed all of mathematics to be a branch of logic. In this work (The nature and meaning of numbers), he "presents a theory of the integers using set-theoretic concepts and outlines a possible…
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