De la logique à l’arithmétique. Pourquoi des logiques et des mathématiques constructivistes?

Dialogue 57 (1):1-28 (2018)
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Abstract

In this article, I wish to discuss in an informal way the motivations and the motifs of the constructivist approach to logic and mathematics and by a natural extension to the general field of science, particularly theoretical physics. Foundational questions in those domains are not ruled by philosophical principles, but a critical philosophy of foundations could be the leitmotiv to the extent that it can be used as a criterion to decide between the theoretical options of scientific practices that are often oblivious to their own doctrinal presuppositions. My objective is to provide the justificatory reasons for a constructivist option or posture in the field of scientific knowledge.

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Yvon Gauthier
Université de Montréal

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References found in this work

Passion and Value in Hume's Treatise.D. G. C. Macnabb - 1968 - Philosophical Books 9 (1):2-4.
A Decision Method for Elementary Algebra and Geometry.Alfred Tarski - 1952 - Journal of Symbolic Logic 17 (3):207-207.
Logique et fondements des mathématiques.Yvon Gauthier - 1999 - Revue Philosophique de la France Et de l'Etranger 189 (1):91-92.
De la logique interne.Yvon Gauthier - 1994 - Revue de Métaphysique et de Morale 99 (1):127-129.

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