Excerpt from Was Sind und Was Sollen die Zahlen?
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What are the real numbers? In this influential 1888 book (reissued here in its 'second, unaltered' 1893 edition), Richard Dedekind (1831-1916), showed how to resolve this problem starting from elementary ideas. His method of constructing the reals from the rationals (the Dedekind cut) remains central to this day.
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Paperback. Condition: New. Print on Demand. This book explores the foundations of arithmetic. The author takes the uncommon approach of beginning with natural numbers and showing how other systems can be built up from there. Through the rigorous examination of number theory, the book provides an innovative look at the nature and evolution of mathematics itself. It introduces foundational concepts like natural numbers and infinity, and it addresses issues of completeness, consistency, and independence that have long been debated by mathematicians. Forgotten Books publishes hundreds of thousands of rare and classic books. This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works. The digital edition of all books may be viewed on our website before purchase. print-on-demand item. Seller Inventory # 9780259292081_0
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9780259292081
Quantity: 15 available