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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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