Access this book
Tax calculation will be finalised at checkout
Other ways to access
Table of contents (10 chapters)
-
Front Matter
-
The Cantor-Dedekind Philosophy and Its Early Reception
-
Front Matter
-
-
Alternative Theories of Real Numbers
-
Front Matter
-
-
Extensions and Generalizations of the Reals: The 19th-Century Geometrical Motivation
-
Front Matter
-
-
Extension and Generalizations of the Reals: Some 20-Century Developments
-
Front Matter
-
-
Back Matter
Keywords
About this book
With the exception of E.W. Hobson's essay, which is concerned with the ideas of Cantor and Dedekind and their reception at the turn of the century, the papers in the present collection are either concerned with or are contributions to, the latter groups of studies. All the contributors are outstanding authorities in their respective fields, and the essays, which are directed to historians and philosophers of mathematics as well as to mathematicians who are concerned with the foundations of their subject, are preceded by a lengthy historical introduction.
Editors and Affiliations
Bibliographic Information
Book Title: Real Numbers, Generalizations of the Reals, and Theories of Continua
Editors: Philip Ehrlich
Series Title: Synthese Library
DOI: https://doi.org/10.1007/978-94-015-8248-3
Publisher: Springer Dordrecht
-
eBook Packages: Springer Book Archive
Copyright Information: Springer Science+Business Media Dordrecht 1994
Hardcover ISBN: 978-0-7923-2689-2Published: 30 September 1994
Softcover ISBN: 978-90-481-4362-7Published: 07 December 2010
eBook ISBN: 978-94-015-8248-3Published: 29 June 2013
Series ISSN: 0166-6991
Series E-ISSN: 2542-8292
Edition Number: 1
Number of Pages: XXXII, 288
Topics: Mathematical Logic and Foundations, Philosophy of Science, History of Mathematical Sciences, Order, Lattices, Ordered Algebraic Structures, Logic
Industry Sectors: IT & Software