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  1. added 2020-03-04
    Poincaré on the Foundations of Arithmetic and Geometry. Part 2: Intuition and Unity in Mathematics.Katherine Dunlop - 2017 - Hopos: The Journal of the International Society for the History of Philosophy of Science 7 (1):88-107.
    Part 1 of this article exposed a tension between Poincaré’s views of arithmetic and geometry and argued that it could not be resolved by taking geometry to depend on arithmetic. Part 2 aims to resolve the tension by supposing not merely that intuition’s role is to justify induction on the natural numbers but rather that it also functions to acquaint us with the unity of orders and structures and show practices to fit or harmonize with experience. I argue that in (...)
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  2. added 2020-03-04
    Introduction.Sahotra Sarkar - 2016 - Hopos: The Journal of the International Society for the History of Philosophy of Science 6 (2):239-241.
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  3. added 2020-03-04
    Poincaré on the Foundations of Arithmetic and Geometry. Part 1: Against “Dependence-Hierarchy” Interpretations.Katherine Dunlop - 2016 - Hopos: The Journal of the International Society for the History of Philosophy of Science 6 (2):274-308.
    The main goal of part 1 is to challenge the widely held view that Poincaré orders the sciences in a hierarchy of dependence, such that all others presuppose arithmetic. Commentators have suggested that the intuition that grounds the use of induction in arithmetic also underlies the conception of a continuum, that the consistency of geometrical axioms must be proved through arithmetical induction, and that arithmetical induction licenses the supposition that certain operations form a group. I criticize each of these readings. (...)
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  4. added 2020-03-04
    A Life in Science, Philosophy, and the Public Domain: Three Biographies of PoincaréJeremy J. Gray. Henri Poincaré: A Scientific Biography. Princeton, NJ: Princeton University Press, 2013. Pp. Xii+592. $35.00/£24.95 .Ferdinand Verhulst. Henri Poincaré: Impatient Genius. New York: Springer, 2012. Pp. Xi+260. $49.95 ; $39.95 .Jean-Marc Ginoux and Christian Gerini. 2012. Henri Poincaré: Une Biographie au Quotidien. Paris: Ellipses, 2012. Pp. Iv+298. €24.00 . [Henri Poincaré: A Biography Through the Daily Papers. Singapore: World Scientific, 2013. Pp. 260. $29.00 ; $22.00 .]. [REVIEW]David J. Stump - 2016 - Hopos: The Journal of the International Society for the History of Philosophy of Science 6 (2):309-318.
  5. added 2020-03-04
    Forum: Poincaré Reconsidered, One Hundred Years Afterwards (Introduction).Sarkar Sahotra - 2016 - Hopos: The Journal of the International Society for the History of Philosophy of Science 6 (2):239-241.
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  6. added 2020-03-04
    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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  7. added 2020-02-17
    Poincaré’s Aesthetics of Science.Milena Ivanova - 2017 - Synthese 194 (7):2581-2594.
    This paper offers a systematic analysis of Poincaré’s understanding of beauty in science. In particular, the paper examines the epistemic significance Poincaré attributes to aesthetic judgement by reconstructing and analysing his arguments on simplicity and unity in science. I offer a consistent reconstruction of Poincaré’s account and show that for Poincaré simplicity and unity are regulative principles, linked to the aim of science—that of achieving understanding of how phenomena relate. I show how Poincaré’s account of beauty in science can be (...)
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