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Mathemetical Explanation

Oxford Bibliographies in Philosophy (2012)

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  1. Exploring the Philosophy of Mathematics: Beyond Logicism and Platonism.Richard Startup - 2024 - Open Journal of Philosophy 14 (2):219-243.
    A perspective in the philosophy of mathematics is developed from a consideration of the strengths and limitations of both logicism and platonism, with an early focus on Frege’s work. Importantly, although many set-theoretic structures may be developed each of which offers limited isomorphism with the system of natural numbers, no one of them may be identified with it. Furthermore, the timeless, ever present nature of mathematical concepts and results itself offers direct access, in the face of a platonist account which (...)
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  • Marc Lange. The because of Because Without Cause: Non-Causal Explanations in Science and Mathematics.Daniele Molinini - forthcoming - Philosophia Mathematica:nky004.
    © The Authors [2018]. Published by Oxford University Press. All rights reserved. For permissions, please e-mail: [email protected] article is published and distributed under the terms of the Oxford University Press, Standard Journals Publication Model...In his Moby Dick, Herman Melville writes that “to produce a mighty book you must choose a mighty theme”. Marc Lange’s Because Without Cause is definitely an impressive book that deals with a mighty theme, that of non-causal explanations in the empirical sciences and in mathematics. Blending a (...)
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  • The because of Because Without Cause†.Daniele Molinini - 2018 - Philosophia Mathematica 26 (2):275-286.
  • Functional explaining: a new approach to the philosophy of explanation.Daniel A. Wilkenfeld - 2014 - Synthese 191 (14):3367-3391.
    In this paper, I argue that explanations just ARE those sorts of things that, under the right circumstances and in the right sort of way, bring about understanding. This raises the question of why such a seemingly simple account of explanation, if correct, would not have been identified and agreed upon decades ago. The answer is that only recently has it been made possible to analyze explanation in terms of understanding without the risk of collapsing both to merely phenomenological states. (...)
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  • Paradoxes and structural rules from a dialogical perspective.Catarina Dutilh Novaes & Rohan French - 2018 - Philosophical Issues 28 (1):129-158.
    In recent years, substructural approaches to paradoxes have become quite popular. But whatever restrictions on structural rules we may want to enforce, it is highly desirable that such restrictions be accompanied by independent philosophical motivation, not directly related to paradoxes. Indeed, while these recent developments have shed new light on a number of issues pertaining to paradoxes, it seems that we now have even more open questions than before, in particular two very pressing ones: what (independent) motivations do we have (...)
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  • Indispensability and explanation: an overview and introduction.Daniele Molinini, Fabrice Pataut & Andrea Sereni - 2016 - Synthese 193 (2):317-332.