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Springer Real Numbers and Theories of Continua - Synthese 242

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Description

Explore the foundational evolution of mathematical thought with Real Numbers, Generalizations of the Reals, and Theories of Continua. Published as part of the Synthese Library (volume 242) by Springer, this work examines the Cantor-Dedekind theory of real numbers and the philosophy of the continuum that became pillars of standard mathematical philosophy since the late 19th century. This text provides a deep look into the various alternative theories of real numbers and corresponding theories of continua that emerged during the same era. It covers essential topics including non-Archimedean geometry, non-standard analysis, and important generalizations of the real number system. Readers will find a detailed examination of arithmetic continua and the historical development of these mathematical structures. This book is a significant resource for those studying the history and philosophy of science, offering a comprehensive view of how different mathematical systems have shaped our understanding of the continuum.

Key Features

Explores the Cantor-Dedekind theory of real numbers and its role in standard mathematical philosophy.

Covers the emergence of alternative theories of real numbers and various theories of continua.

Provides detailed information on non-Archimedean geometry and non-standard analysis.

Examines important generalizations of the real number system and arithmetic continua.

Part of the respected Synthese Library series, volume 242, published by Springer.

Product Specifications

Format
paperback
Domain
Amazon UK
Release Date
07 December 2010
Listed Since
20 September 2010

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