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From Axioms to Conventions and Hypotheses: The Foundations of Mechanics and the Roots of Carl Neumann’s “Principles of the Galilean–Newtonian Theory”

In Michael Heidelberger & Gregor Schiemann (eds.), The Significance of the Hypothetical in Natural Science. De Gruyter. pp. 77-98 (2009)

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The Methods Behind Poincaré’s Conventions: Structuralism and Hypothetical-Deductivism.María de Paz - 2023 - Journal for General Philosophy of Science / Zeitschrift für Allgemeine Wissenschaftstheorie 54 (1):169-188.details 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 (...) Download Export citation Bookmark
From Gauss to Riemann Through Jacobi: Interactions Between the Epistemologies of Geometry and Mechanics?Maria de Paz & José Ferreirós - 2020 - Journal for General Philosophy of Science / Zeitschrift für Allgemeine Wissenschaftstheorie 51 (1):147-172.details The aim of this paper is to argue that there existed relevant interactions between mechanics and geometry during the first half of the nineteenth century, following a path that goes from Gauss to Riemann through Jacobi. By presenting a rich historical context we hope to throw light on the philosophical change of epistemological categories applied by these authors to the fundamental principles of both disciplines. We intend to show that presentations of the changing status of the principles of mechanics as (...) Download Export citation Bookmark 1 citation
Continuity, causality and determinism in mathematical physics: from the late 18th until the early 20th century.Marij van Strien - 2014 - Dissertation, University of Ghentdetails It is commonly thought that before the introduction of quantum mechanics, determinism was a straightforward consequence of the laws of mechanics. However, around the nineteenth century, many physicists, for various reasons, did not regard determinism as a provable feature of physics. This is not to say that physicists in this period were not committed to determinism; there were some physicists who argued for fundamental indeterminism, but most were committed to determinism in some sense. However, for them, determinism was often not (...) Download Export citation Bookmark
From Jurisprudence to Mechanics: Jacobi, Reech, and Poincaré on Convention.María de Paz - 2018 - Science in Context 31 (2):223-250.details This paper aims at understanding the concept of convention in mechanics as a notion transferred from the field of jurisprudence. This enables us to clarify it as a new epistemic category having a pertinent role in the transformation of mechanics in the nineteenth century. Such understanding permits a separation from linguistic and arbitrary conventions, thus highlighting its epistemic features and not transforming fundamental principles into mere arbitrary agreements. After addressing the main references in the literature discussing the role of convention (...) Download Export citation Bookmark 3 citations

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