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  1. Poincaré on the Foundation of Geometry in the Understanding.Jeremy Shipley - 2017 - In Maria Zack & Dirk Schlimm (eds.), Research in History and Philosophy of Mathematics: The CSHPM 2016 Annual Meeting in Calgary, Alberta. New York: Birkhäuser. pp. 19-37.
    This paper is about Poincaré’s view of the foundations of geometry. According to the established view, which has been inherited from the logical positivists, Poincaré, like Hilbert, held that axioms in geometry are schemata that provide implicit definitions of geometric terms, a view he expresses by stating that the axioms of geometry are “definitions in disguise.” I argue that this view does not accord well with Poincaré’s core commitment in the philosophy of geometry: the view that geometry is the study (...)
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  • Social Ontology.Brian Epstein - 2018 - Stanford Encyclopedia of Philosophy.
    Social ontology is the study of the nature and properties of the social world. It is concerned with analyzing the various entities in the world that arise from social interaction. -/- A prominent topic in social ontology is the analysis of social groups. Do social groups exist at all? If so, what sorts of entities are they, and how are they created? Is a social group distinct from the collection of people who are its members, and if so, how is (...)
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  • Traditions in Collision: The Emergence of Logical Empiricism between the Riemannian and Helmholtzian Traditions.Giovanelli Marco - 2017 - Hopos: The Journal of the International Society for the History of Philosophy of Science 7 (2):328-380.
    This paper attempts to explain the emergence of the logical empiricist philosophy of space and time as a collision of mathematical traditions. The historical development of the ``Riemannian'' and ``Helmholtzian'' traditions in 19th century mathematics is investigated. Whereas Helmholtz's insistence on rigid bodies in geometry was developed group theoretically by Lie and philosophically by Poincaré, Riemann's Habilitationsvotrag triggered Christoffel's and Lipschitz's work on quadratic differential forms, paving the way to Ricci's absolute differential calculus. The transition from special to general relativity (...)
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  • Did Tom Kuhn actually meet Tom bayes?Lefteris Farmakis - 2008 - Erkenntnis 68 (1):41 - 53.
    Wesley Salmon and John Earman have presented influential Bayesian reconstructions of Thomas Kuhn’s account of theory-change. In this paper I argue that all attempts to give a Bayesian reading of Kuhn’s philosophy of science are fundamentally misguided due to the fact that Bayesian confirmation theory is in fact inconsistent with Kuhn’s account. The reasons for this inconsistency are traced to the role the concept of incommensurability plays with reference to the ‘observational vocabulary’ within Kuhn’s picture of scientific theories. The upshot (...)
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  • Una reevaluación del convencionalismo geométrico de Poincaré.Pablo Melogno - 2018 - Dianoia 63 (81):37-59.
    Resumen: Janet Folina ha propuesto una interpretación del convencionalismo de Poincaré contraria a la que ofrecen Michael Friedman y Robert DiSalle. Ambos afirman que la propuesta de Poincaré queda refutada por la relati-vidad general pues supone una noción restrictiva de los principios a priori. Folina sostiene que el convencionalismo de Poincaré no es contradictorio con la relatividad general porque permite una noción relativizada de los princi-pios a priori. Intento mostrar que la estrategia de Folina es ineficaz porque Poincaré no puede (...)
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  • Conventionalism, coordination, and mental models: from Poincaré to Simon.Rouslan Koumakhov - 2014 - Journal of Economic Methodology 21 (3):251-272.
    This article focuses on the conventions that sustain social interaction and argues that they are central to Simon's decision-making theory. Simon clearly identifies two kinds of coordination by convention: behavioral mores that shape human actions, and shared mental models that govern human perceptions. This article argues that Poincaré–Carnap's conventionalism provides powerful support for Simon's theory; it contends that this theory offers a more convincing account of decision and coordination than Lewis' concept of convention. Simon's approach to applying conventionalist logic to (...)
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  • Beyond the edge of certainty: Reflections on the rise of physical conventionalism.Helmut Pulte - 2000 - Philosophia Scientiae 4 (1):47-68.
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  • Chasing Poincaré: Reflections on Interdisciplinary Research and Historiography.David J. Stump - 2023 - Philosophia Scientiae 27 (2):177-194.
    I will present two examples of influential (and incorrect) interpretations of Poincaré, pinpointing their errors and documenting some of their diffusion. The first example, which appears to have been initiated by Moritz Schlick, is the widespread misinterpretation of Poincaré’s argument for geometric conventionalism by basing it on the underdetermination of theories in science. The second example, having to do with Poincaré’s claim that Euclidean and non-Euclidean geometries are inter-translatable, stems from Louis Rougier and was spread in the English language literature (...)
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  • Talking at Cross-Purposes. How Einstein and Logical Empiricists never Agreed on what they were Discussing about.Marco Giovanelli - unknown
    By inserting the dialogue between Einstein, Schlick and Reichenbach in a wider network of debates about the epistemology of geometry, the paper shows, that not only Einstein and Logical Empiricists came to disagree about the role, principled or provisional, played by rods and clocks in General Relativity, but they actually, in their life-long interchange, never clearly identified the problem they were discussing. Einstein’s reflections on geometry can be understood only in the context of his “measuring rod objection” against Weyl. Logical (...)
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  • Collision of Traditions. The Emergence of Logical Empiricism Between the Riemannian and Helmholtzian Traditions.Marco Giovanelli - 2013 - .
    This paper attempts to explain the emergence of the logical empiricist philosophy of space and time as a collision of mathematical traditions. The historical development of the ``Riemannian'' and ``Helmholtzian'' traditions in 19th century mathematics is investigated. Whereas Helmholtz's insistence on rigid bodies in geometry was developed group theoretically by Lie and philosophically by Poincaré, Riemann's Habilitationsvotrag triggered Christoffel's and Lipschitz's work on quadratic differential forms, paving the way to Ricci's absolute differential calculus. The transition from special to general relativity (...)
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  • From Helmholtz to Schlick: The evolution of the sign-theory of perception.Thomas Oberdan - 2015 - Studies in History and Philosophy of Science Part A 52:35-43.
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  • Poincaré's conception of the objectivity of mathematics.Janet Folina - 1994 - Philosophia Mathematica 2 (3):202-227.
    There is a basic division in the philosophy of mathematics between realist, ‘platonist’ theories and anti-realist ‘constructivist’ theories. Platonism explains how mathematical truth is strongly objective, but it does this at the cost of invoking mind-independent mathematical objects. In contrast, constructivism avoids mind-independent mathematical objects, but the cost tends to be a weakened conception of mathematical truth. Neither alternative seems ideal. The purpose of this paper is to show that in the philosophical writings of Henri Poincaré there is a coherent (...)
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  • Helmholtz's naturalized conception of geometry and his spatial theory of signs.David Jalal Hyder - 1999 - Philosophy of Science 66 (3):286.
    I analyze the two main theses of Helmholtz's "The Applicability of the Axioms to the Physical World," in which he argued that the axioms of Euclidean geometry are not, as his neo-Kantian opponents had argued, binding on any experience of the external world. This required two argumentative steps: 1) a new account of the structure of our representations which was consistent both with the experience of our (for him) Euclidean world and with experience of a non-Euclidean one, and 2) a (...)
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  • Talking at cross-purposes: how Einstein and the logical empiricists never agreed on what they were disagreeing about.Marco Giovanelli - 2013 - Synthese 190 (17):3819-3863.
    By inserting the dialogue between Einstein, Schlick and Reichenbach into a wider network of debates about the epistemology of geometry, this paper shows that not only did Einstein and Logical Empiricists come to disagree about the role, principled or provisional, played by rods and clocks in General Relativity, but also that in their lifelong interchange, they never clearly identified the problem they were discussing. Einstein’s reflections on geometry can be understood only in the context of his ”measuring rod objection” against (...)
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  • The Forgotten Tradition: How the Logical Empiricists Missed the Philosophical Significance of the Work of Riemann, Christoffel and Ricci.Marco Giovanelli - 2013 - Erkenntnis 78 (6):1219-1257.
    This paper attempts to show how the logical empiricists’ interpretation of the relation between geometry and reality emerges from a “collision” of mathematical traditions. Considering Riemann’s work as the initiator of a 19th century geometrical tradition, whose main protagonists were Helmholtz and Poincaré, the logical empiricists neglected the fact that Riemann’s revolutionary insight flourished instead in a non-geometrical tradition dominated by the works of Christoffel and Ricci-Curbastro roughly in the same years. I will argue that, in the attempt to interpret (...)
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  • Matthias Neuber: Die Grenzen des Revisionismus: Schlick, Cassirer und das Raumproblem (Moritz Schlick Studien Band 2): Springer, Wien 2012, 260 pp, €68.04, ISBN: 978-3709109656. [REVIEW]Marco Giovanelli - 2014 - Journal for General Philosophy of Science / Zeitschrift für Allgemeine Wissenschaftstheorie 45 (2):393-401.
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  • Matthias Neuber: Die Grenzen des Revisionismus: Schlick, Cassirer und das Raumproblem.Marco Giovanelli - 2014 - Journal for General Philosophy of Science / Zeitschrift für Allgemeine Wissenschaftstheorie 45 (2):393-401.
    Matthias Neuber’s book represents an important contribution to the relatively young discipline of the History of Philosophy of Science. Starting roughly in the 1980s, increasing attention has been devoted not only to the relationship between philosophy and the history of science, but to an accurate historical reconstruction of earlier projects within philosophy of science. One of the most outstanding results of these investigations has probably been the radical reshaping of the rather caricatural image of logical empiricism—for better or worse the (...)
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  • Did Tom Kuhn actually Meet Tom Bayes?Lefteris Farmakis - 2008 - Erkenntnis 68 (1):41-53.
    Wesley Salmon and John Earman have presented influential Bayesian reconstructions of Thomas Kuhn's account of theory-change. In this paper I argue that all attempts to give a Bayesian reading of Kuhn's philosophy of science are fundamentally misguided due to the fact that Bayesian confirmation theory is in fact inconsistent with Kuhn's account. The reasons for this inconsistency are traced to the role the concept of incommensurability plays with reference to the 'observational vocabulary' within Kuhn's picture of scientific theories. The upshot (...)
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  • Poincaré’s Classification of Hypotheses and Their Role in Natural Science.María de Paz - 2015 - International Studies in the Philosophy of Science 29 (4):369-382.
    In the introduction to his famous book, La Science et l’hypothèse, Poincaré remarks on the necessary role and legitimacy of hypotheses. He establishes a triple classification of hypotheses, dividing them into verifiable, useful, and apparent. However, in chapter 9, entitled ‘Les hypothèses en physique’, he gives a slightly different triadic classification: natural hypotheses, indifferent hypotheses, and real generalizations. The origin of this second classification is a lecture given at the International Congress of Physics, Paris, 1900. What are the similarities and (...)
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  • Scepticism, relativism, and the structure of epistemic frameworks.Steven Bland - 2013 - Studies in History and Philosophy of Science Part A 44 (4):539-544.
    This paper has four aims: first, to outline the role of the sceptical problem of the criterion in the principal argument for epistemic relativism; second, to establish that methodist and particularist responses to the problem of the criterion do not, by themselves, constitute successful strategies for resisting epistemic relativism; third, to argue that a more fruitful strategy is to attempt to evaluate epistemic frameworks on the basis of the epistemic resources that they have in common; and finally, to make the (...)
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  • Leibniz Equivalence. On Leibniz's Influence on the Logical Empiricist Interpretation of General Relativity.Marco Giovanelli - unknown
    Einstein’s “point-coincidence argument'” as a response to the “hole argument” is usually considered as an expression of “Leibniz equivalence,” a restatement of indiscernibility in the sense of Leibniz. Through a historical-critical analysis of Logical Empiricists' interpretation of General Relativity, the paper attempts to show that this labeling is misleading. Logical Empiricists tried explicitly to understand the point-coincidence argument as an indiscernibility argument of the Leibnizian kind, such as those formulated in the 19th century debate about geometry, by authors such as (...)
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