Skip to Main content Skip to Navigation
Book sections

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.
Complete list of metadata

https://hal.telecom-paris.fr/hal-02300760
Contributor : Olivier Rioul <>
Submitted on : Friday, August 20, 2021 - 3:38:25 PM
Last modification on : Tuesday, September 21, 2021 - 2:16:04 PM

File

Studia_Logica_2018revised_vff....
Files produced by the author(s)

Identifiers

Citation

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⟩

Share

Metrics

Record views

119

Files downloads

6