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Founding Mathematics on Semantic ConventionsReal Analysis

Founding Mathematics on Semantic Conventions: Real Analysis [The process of filling in the author’s proposed framework with mathematical content continues in this chapter. Here, the general subject is classically uncountable areas of mathematics, the challenges of which require creative solutions. The specific topics covered are functions and their application, real numbers, completeness, continuity, differentiation, integration, and diagonalization. In addition, through a second example of applied mathematics, Hilary Putnam’s claim that nominalistic mathematics cannot adequately “numericalize” physical distances is refuted.] http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png

Founding Mathematics on Semantic ConventionsReal Analysis

Part of the Synthese Library Book Series (volume 446)

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Publisher
Springer International Publishing
Copyright
© The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2021
ISBN
978-3-030-88533-5
Pages
169 –223
DOI
10.1007/978-3-030-88534-2_9
Publisher site
See Chapter on Publisher Site

Abstract

[The process of filling in the author’s proposed framework with mathematical content continues in this chapter. Here, the general subject is classically uncountable areas of mathematics, the challenges of which require creative solutions. The specific topics covered are functions and their application, real numbers, completeness, continuity, differentiation, integration, and diagonalization. In addition, through a second example of applied mathematics, Hilary Putnam’s claim that nominalistic mathematics cannot adequately “numericalize” physical distances is refuted.]

Published: Nov 5, 2021

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