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A local-global principle for the real continuum

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.
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Contributor : Olivier Rioul Connect in order to contact the contributor
Submitted on : Friday, August 20, 2021 - 3:38:25 PM
Last modification on : Tuesday, March 8, 2022 - 9:26:06 AM
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Olivier Rioul, José Carlos Magossi. A local-global principle for the real continuum. Walter Carnielli; Jacek Malinowski. Contradictions, from Consistency to Inconsistency, 47, Springer, pp.213-240, 2018, Trends in Logic, 978-3-030-07534-7. ⟨10.1007/978-3-319-98797-2_11⟩. ⟨hal-02300760⟩



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