The Methods Behind Poincaré’s Conventions: Structuralism and Hypothetical-Deductivism

Journal for General Philosophy of Science / Zeitschrift für Allgemeine Wissenschaftstheorie 54 (1):169-188 (2023)
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Abstract

Poincaré’s conventionalism has been interpreted in many writings as a philosophical position emerged by reflection on certain scientific problems, such as the applicability of geometry to physical space or the status of certain scientific principles. In this paper I would like to consider conventionalism as a philosophical position that emerged from Poincaré’s scientific practice. But not so much from dealing with scientific problems, as from the use of two specific methodologies proper to modern mathematics and the modern natural sciences: methodological structuralism and the hypothetical-deductive method—thus, as a philosophical position which emerged from a way (or rather, two ways) ofdoingscience. With this approach, I try to deepen the analysis of connections between Poincaré’s scientific practice and his philosophy.

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María de Paz
Universidad de Sevilla

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References found in this work

Philosophy of Mathematics: Structure and Ontology.Stewart Shapiro - 2000 - Philosophical Quarterly 50 (198):120-123.
Reconsidering Logical Positivism.Michael Friedman & Alan W. Richardson - 1999 - Tijdschrift Voor Filosofie 62 (1):152-155.
La Science et l'Hypothèse.Henri Poincaré - 1902 - Revue de Métaphysique et de Morale 11 (1):1-1.

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