13 found
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  1.  52
    Evidence, Explanation and Enhanced Indispensability.Daniele Molinini - 2016 - Synthese 193 (2):403-422.
    In this paper I shall adopt a possible reading of the notions of ‘explanatory indispensability’ and ‘genuine mathematical explanation in science’ on which the Enhanced Indispensability Argument proposed by Alan Baker is based. Furthermore, I shall propose two examples of mathematical explanation in science and I shall show that, whether the EIA-partisans accept the reading I suggest, they are easily caught in a dilemma. To escape this dilemma they need to adopt some account of explanation and offer a plausible answer (...)
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  2.  44
    Indispensability and Explanation: An Overview and Introduction.Daniele Molinini, Fabrice Pataut & Andrea Sereni - 2016 - Synthese 193 (2):317-332.
  3.  6
    The Weak Objectivity of Mathematics and Its Reasonable Effectiveness in Science.Daniele Molinini - forthcoming - Axiomathes:1-15.
    Philosophical analysis of mathematical knowledge are commonly conducted within the realist/antirealist dichotomy. Nevertheless, philosophers working within this dichotomy pay little attention to the way in which mathematics evolves and structures itself. Focusing on mathematical practice, I propose a weak notion of objectivity of mathematical knowledge that preserves the intersubjective character of mathematical knowledge but does not bear on a view of mathematics as a body of mind-independent necessary truths. Furthermore, I show how that the successful application of mathematics in science (...)
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  4.  25
    Learning From Euler. From Mathematical Practice to Mathematical Explanation.Daniele Molinini - 2012 - Philosophia Scientiae 16 (1):105-127.
    Dans son « Découverte d'un nouveau principe de mécanique » Euler a donné, pour la première fois, une preuve du théorème qu'on appelle aujourd'hui le Théorème d'Euler. Dans cet article je vais me concentrer sur la preuve originale d'Euler, et je vais montrer comment la pratique mathématique d Euler peut éclairer le débat philosophique sur la notion de preuves explicatives en mathématiques. En particulier, je montrerai comment l'un des modèles d'explication mathématique les plus connus, celui proposé par Mark Steiner dans (...)
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  5.  6
    Learning From Euler. From Mathematical Practice to Mathematical Explanation.Daniele Molinini - 2012 - Philosophia Scientae 16:105-127.
  6.  57
    Deductive Nomological Model and Mathematics: Making Dissatisfaction More Satisfactory.Daniele Molinini - 2014 - Theoria : An International Journal for Theory, History and Fundations of Science 29 (2):223-241.
    The discussion on mathematical explanation has inherited the same sense of dissatisfaction that philosophers of science expressed, in the context of scientific explanation, towards the deductive-nomological model. This model is regarded as unable to cover cases of bona fide mathematical explanations and, furthermore, it is largely ignored in the relevant literature. Surprisingly, the reasons for this ostracism are not sufficiently manifest. In this paper I explore a possible extension of the model to the case of mathematical explanations and I claim (...)
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  7.  49
    Using Mathematics to Explain a Scientific Theory.Michèle Friend & Daniele Molinini - 2016 - Philosophia Mathematica 24 (2):185-213.
    We answer three questions: 1. Can we give a wholly mathematical explanation of a physical phenomenon? 2. Can we give a wholly mathematical explanation for a whole physical theory? 3. What is gained or lost in giving a wholly, or partially, mathematical explanation of a phenomenon or a scientific theory? To answer these questions we look at a project developed by Hajnal Andréka, Judit Madarász, István Németi and Gergely Székely. They, together with collaborators, present special relativity theory in a three-sorted (...)
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  8.  27
    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: journals.permissions@oup.comThis 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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  9.  18
    The Because of Because Without Cause†.Daniele Molinini - 2018 - Philosophia Mathematica 26 (2):275-286.
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  10.  1
    Intended and Unintended Mathematics: The Case of the Lagrange Multipliers.Daniele Molinini - forthcoming - Journal for General Philosophy of Science / Zeitschrift für Allgemeine Wissenschaftstheorie:1-21.
    We can distinguish between two different ways in which mathematics is applied in science: when mathematics is introduced and developed in the context of a particular scientific application; when mathematics is used in the context of a particular scientific application but it has been developed independently from that application. Nevertheless, there might also exist intermediate cases in which mathematics is developed independently from an application but it is nonetheless introduced in the context of that particular application. In this paper I (...)
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  11.  5
    The Epistemological Import of Euclidean Diagrams.Daniele Molinini - 2016 - Kairos 16 (1):124-141.
    In this paper I concentrate on Euclidean diagrams, namely on those diagrams that are licensed by the rules of Euclid’s plane geometry. I shall overview some philosophical stances that have recently been proposed in philosophy of mathematics to account for the role of such diagrams in mathematics, and more particularly in Euclid’s Elements. Furthermore, I shall provide an original analysis of the epistemic role that Euclidean diagrams may have in empirical sciences, more specifically in physics. I shall claim that, although (...)
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  12.  20
    Che Cos'è una Spiegazione Matematica.Daniele Molinini - 2014 - Carocci.
    Può la matematica spiegare il mondo che ci circonda, o addirittura sé stessa? Possono i numeri, e più in generale le teorie matematiche, dirci perché alcuni fenomeni naturali e sociali avvengono o perché alcuni risultati matematici siano da considerarsi veri? Che cosa si intende esattamente per spiegazione matematica? Attraverso numerosi esempi, l’autore offre una risposta a queste domande e illustra le principali posizioni filosofiche elaborate per la nozione di spiegazione matematica, nozione che è alla base di dibattiti riguardanti aree diverse (...)
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  13. Parsimony, Ontological Commitment and the Import of Mathematics.Daniele Molinini - 2018 - In Gabriele Pulcini & Mario Piazza (eds.), Truth, Existence and Explanation. Springer Verlag.
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