Embracing the Crisis in the Foundations of Mathematics

Metadatas

Date

March 11, 2016

Discipline
type
Language
Identifier
Licenses

Ce texte est publié sous licence Creative Commons : Attribution – Pas d’utilisation commerciale – Partage dans les mêmes conditions 2.5 Canada. , http://creativecommons.org/licenses/by-nc-sa/2.5/ca/legalcode.fr


Similar subjects En Fr

Math mathématiques

Cite this document

Michèle Friend, « Embracing the Crisis in the Foundations of Mathematics », Papyrus : le dépôt institutionnel de l'Université de Montréal, ID : 10670/1.ogtz9a


Metrics


Share / Export

Abstract 0

The crisis in the foundations of mathematics is a conceptual crisis. I suggest that we embrace the crisis and adopt a pluralist position towards foundations. There are many foundations in mathematics. However, ‘many foundations’ (for one building) is an oxymoron. Therefore, we shift vocabulary to say that mathematics, as one discipline, is composed of many different theories. This entails that there are no absolute mathematical truths, only truths within a theory. There is no unified, consistent ontology, only ontology within a theory.

From the same authors

On the same subjects

Similar documents

Within the same disciplines