Chapter

Measurable Quantities and Analysis

Charles S. Chihara

in Constructibility and Mathematical Existence

Published in print June 1991 | ISBN: 9780198239758
Published online November 2003 | e-ISBN: 9780191597190 | DOI: http://dx.doi.org/10.1093/0198239750.003.0006

Series: Clarendon Paperbacks

 Measurable Quantities and Analysis

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Briefly sketches a standard form of the development of analysis within the Constructibility Theory. Then develops an axiomatized theory of lengths, in terms of which a system of rational and real numbers is specified. These developments are used to provide the basis for a theory of functions of real and complex variables.

Keywords: mathematical analysis; rational number; real number; theory of functions; theory of lengths

Chapter.  10853 words.  Illustrated.

Subjects: Philosophy of Mathematics and Logic

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