A Local-Global Principle for the Real Continuum

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review

Abstract

We discuss the implications of a local-global (or global-limit) principle for proving the basic theorems of real analysis. The aim is to improve the set of available tools in real analysis, where the local-global principle is used as a unifying principle from which the other completeness axioms and several classical theorems are proved in a fairly direct way. As a consequence, the study of the local-global concept can help establish better pedagogical approaches for teaching classical analysis.

Original languageEnglish
Title of host publicationTrends in Logic
PublisherSpringer Science and Business Media B.V.
Pages213-240
Number of pages28
DOIs
Publication statusPublished - 1 Jan 2018
Externally publishedYes

Publication series

NameTrends in Logic
Volume47
ISSN (Print)1572-6126
ISSN (Electronic)2212-7313

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