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Springer Real Numbers and Theories of Continua - Synthese 242

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Description

Explore the foundations of mathematical philosophy with Springer's Real Numbers, Generalizations of the Reals, and Theories of Continua. This volume, part of the Synthese Library (242), examines the Cantor-Dedekind theory of real numbers that emerged in the late 19th century. It serves as a deep dive into the pillars of standard mathematical philosophy while addressing the emergence of alternative theories of real numbers and continua. The text covers essential topics including non-Archimedean geometry, non-standard analysis, and various generalizations of the real number system, such as arithmetic continua. This work is an essential resource for those studying the history and philosophy of science and mathematics.

Key Features

This book is published by Springer as part of the Synthese Library, volume 242.

The text examines the Cantor-Dedekind theory of real numbers and the philosophy of the continuum.

Content includes a study of non-Archimedean geometry and non-standard analysis.

The volume covers various generalizations of the real number system and arithmetic continua.

This work is categorized within the history and philosophy of science and mathematics.

Product Specifications

Format
hardcover
Domain
Amazon UK
Release Date
30 September 1994
Listed Since
12 January 2007

Barcode

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