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  1. Intelligibility and the CAPE: Combatting Anti-Psychologism About Explanation.Jonathan Waskan - unknown
    Much of the philosophical discussion of explanations has centered around two broad conceptions of what sorts of ‘things’ explanations are – namely, the descriptive and ontic conceptions. Defenders of each argue that scientific psychology has at best little to contribute to the study of explanations. These anti-psychologistic arguments come in two main varieties, the metaphysical and the epistemic. Both varieties trace back to Hempel and recur in the more recent writings of prominent mechanists. The metaphysical arguments attempt to combat psychologism (...)
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  • Mathematical Explanation.Mark Steiner - 1978 - Philosophical Studies 34 (2):135 - 151.
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  • A Contextual Approach to Scientific Understanding.Henk de Regt & Dennis Dieks - 2005 - Synthese 144 (1):137-170.
    Achieving understanding of nature is one of the aims of science. In this paper we offer an analysis of the nature of scientific understanding that accords with actual scientific practice and accommodates the historical diversity of conceptions of understanding. Its core idea is a general criterion for the intelligibility of scientific theories that is essentially contextual: which theories conform to this criterion depends on contextual factors, and can change in the course of time. Our analysis provides a general account of (...)
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  • The Varieties of Mathematical Explanation.Hafner Johannes & Paolo Mancosu - 2005 - In Paolo Mancosu (ed.), Visualization, Explanation and Reasoning Styles in Mathematics. Dordrecht: Springer. pp. 215-250.
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  • Mathematical Explanation: Why It Matters.Paolo Mancosu - 2008 - In The Philosophy of Mathematical Practice. Oxford University Press. pp. 134--149.
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  • Aspects of Scientific Explanation and Other Essays in the Philosophy of Science. Carl G. Hempel.Henry Veatch - 1970 - Philosophy of Science 37 (2):312-314.
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  • The Scientific Image.Michael Friedman - 1982 - Journal of Philosophy 79 (5):274-283.
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  • The Ontic Account of Scientific Explanation.Carl F. Craver - 2014 - In Marie I. Kaiser, Oliver R. Scholz, Daniel Plenge & Andreas Hüttemann (eds.), Explanation in the Special Sciences: The Case of Biology and History. Springer Verlag. pp. 27-52.
    According to one large family of views, scientific explanations explain a phenomenon (such as an event or a regularity) by subsuming it under a general representation, model, prototype, or schema (see Bechtel, W., & Abrahamsen, A. (2005). Explanation: A mechanist alternative. Studies in History and Philosophy of Biological and Biomedical Sciences, 36(2), 421–441; Churchland, P. M. (1989). A neurocomputational perspective: The nature of mind and the structure of science. Cambridge: MIT Press; Darden (2006); Hempel, C. G. (1965). Aspects of scientific (...)
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  • Scientific Explanation and the Sense of Understanding.J. D. Trout - 2002 - Philosophy of Science 69 (2):212-233.
    Scientists and laypeople alike use the sense of understanding that an explanation conveys as a cue to good or correct explanation. Although the occurrence of this sense or feeling of understanding is neither necessary nor sufficient for good explanation, it does drive judgments of the plausibility and, ultimately, the acceptability, of an explanation. This paper presents evidence that the sense of understanding is in part the routine consequence of two well-documented biases in cognitive psychology: overconfidence and hindsight. In light of (...)
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  • Understanding Proofs.Jeremy Avigad - manuscript
    “Now, in calm weather, to swim in the open ocean is as easy to the practised swimmer as to ride in a spring-carriage ashore. But the awful lonesomeness is intolerable. The intense concentration of self in the middle of such a heartless immensity, my God! who can tell it? Mark, how when sailors in a dead calm bathe in the open sea—mark how closely they hug their ship and only coast along her sides.” (Herman Melville, Moby Dick, Chapter 94).
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  • Aspects of Mathematical Explanation: Symmetry, Unity, and Salience.Marc Lange - 2014 - Philosophical Review 123 (4):485-531.
    Unlike explanation in science, explanation in mathematics has received relatively scant attention from philosophers. Whereas there are canonical examples of scientific explanations, there are few examples that have become widely accepted as exhibiting the distinction between mathematical proofs that explain why some mathematical theorem holds and proofs that merely prove that the theorem holds without revealing the reason why it holds. This essay offers some examples of proofs that mathematicians have considered explanatory, and it argues that these examples suggest a (...)
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  • ‘Style’ for Historians and Philosophers.Ian Hacking - 1991 - Studies in History and Philosophy of Science Part A 23 (1):1-20.
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  • The Scientific Image.William Demopoulos & Bas C. van Fraassen - 1982 - Philosophical Review 91 (4):603.
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  • Is Mathematics a Domain for Philosophers of Explanation?Erik Weber & Joachim Frans - 2017 - Journal for General Philosophy of Science / Zeitschrift für Allgemeine Wissenschaftstheorie 48 (1):125-142.
    In this paper we discuss three interrelated questions. First: is explanation in mathematics a topic that philosophers of mathematics can legitimately investigate? Second: are the specific aims that philosophers of mathematical explanation set themselves legitimate? Finally: are the models of explanation developed by philosophers of science useful tools for philosophers of mathematical explanation? We argue that the answer to all these questions is positive. Our views are completely opposite to the views that Mark Zelcer has put forward recently. Throughout this (...)
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  • The Nature of Mathematical Explanation.Carlo Cellucci - 2008 - Studies in History and Philosophy of Science Part A 39 (2):202-210.
    Although in the past three decades interest in mathematical explanation revived, recent literature on the subject seems to neglect the strict connection between explanation and discovery. In this paper I sketch an alternative approach that takes such connection into account. My approach is a revised version of one originally considered by Descartes. The main difference is that my approach is in terms of the analytic method, which is a method of discovery prior to axiomatized mathematics, whereas Descartes’s approach is in (...)
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  • Scientific Explanation.Erik Weber, Jeroen Van Bouwel & Leen De Vreese - 2013 - Springer.
    When scientist investigate why things happen, they aim at giving an explanation. But what does a scientific explanation look like? In the first chapter (Theories of Scientific Explanation) of this book, the milestones in the debate on how to characterize scientific explanations are exposed. The second chapter (How to Study Scientific Explanation?) scrutinizes the working-method of three important philosophers of explanation, Carl Hempel, Philip Kitcher and Wesley Salmon and shows what went wrong. Next, it is the responsibility of current philosophers (...)
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  • Paying the Price for a Theory of Explanation: De Regt’s Discussion of Trout.J. D. Trout - 2005 - Philosophy of Science 72 (1):198-208.
    (2002). Philosophy of Science 72 (January), 198-208.
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  • Scientific Explanation: Three Basic Conceptions.Wesley C. Salmon - 1984 - PSA: Proceedings of the Biennial Meeting of the Philosophy of Science Association 1984:293 - 305.
    By contrasting three general conceptions of scientific explanation, this paper seeks to clarify the explanandum and to exhibit the fundamental philosophical issues involved in the project of explicating scientific explanation. The three conceptions--epistemic, modal, and ontic--have both historical and contemporary importance. In the context of Laplacian determinism, they do not seem importantly distinct, but in the context of irreducibly statistical explanations, the three are seen to diverge sharply. The paper argues for a causal/mechanical version of the ontic conception, and concludes (...)
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  • The Unsolvability of The Quintic: A Case Study in Abstract Mathematical Explanation.Christopher Pincock - 2015 - Philosophers' Imprint 15.
    This paper identifies one way that a mathematical proof can be more explanatory than another proof. This is by invoking a more abstract kind of entity than the topic of the theorem. These abstract mathematical explanations are identified via an investigation of a canonical instance of modern mathematics: the Galois theory proof that there is no general solution in radicals for fifth-degree polynomial equations. I claim that abstract explanations are best seen as describing a special sort of dependence relation between (...)
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  • Explanatory Proofs in Mathematics.Erik Weber & Liza Verhoeven - 2002 - Logique Et Analyse 179:299-307.
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  • The Math Gene How Mathematical Thinking Evolved and Why Numbers Are Like Gossip.Keith J. Devlin - 2000
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  • General Theory of Natural Equivalences.Saunders MacLane & Samuel Eilenberg - 1945 - Transactions of the American Mathematical Society:231-294.
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  • Dedekind, Structural Reasoning, and Mathematical Understanding.Erich H. Reck - 2009 - In Bart Van Kerkhove (ed.), New Perspectives on Mathematical Practices: Essays in Philosophy and History of Mathematics. World Scientific. pp. 150--173.
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