Mathematical explanation and the theory of why-questions
British Journal for the Philosophy of Science 49 (4):603-624 (1998)
| Abstract | Van Fraassen and others have urged that judgements of explanations are relative to why-questions; explanations should be considered good in so far as they effectively answer why-questions. In this paper, I evaluate van Fraassen's theory with respect to mathematical explanation. I show that his theory cannot recognize any proofs as explanatory. I also present an example that contradicts the main thesis of the why-question approach—an explanation that appears explanatory despite its inability to answer the why-question that motivated it. This example shows how explanatory judgements can be context-dependent without being why-question-relative. | |||||||||
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Barbara V. E. Klein (1980). What Should We Expect of a Theory of Explanation? PSA: Proceedings of the Biennial Meeting of the Philosophy of Science Association 1980:319 - 328.
Davide Rizza (2011). Magicicada, Mathematical Explanation and Mathematical Realism. Erkenntnis 74 (1):101-114.
Petri Ylikoski & Jaakko Kuorikoski (2010). Dissecting Explanatory Power. Philosophical Studies 148 (2):201–219.
Rebecca Schweder (1999). Causal Explanation and Explanatory Selection. Synthese 120 (1):115-124.
Jan Willem Wieland & Erik Weber (2010). Metaphysical Explanatory Asymmetries. Logique and Analyse 53 (211):345-365.
Dennis Temple (1988). The Contrast Theory of Why-Questions. Philosophy of Science 55 (1):141-151.
Alan Baker (2005). Are There Genuine Mathematical Explanations of Physical Phenomena? Mind 114 (454):223-238.
Orna Harari (2008). Proclus' Account of Explanatory Demonstrations in Mathematics and its Context. Archiv für Geschichte der Philosophie 90 (2):137-164.
Jeroen van Bouwel (2010). Explanatory Pluralism in the Medical Sciences: Theory and Practice. Theoretical Medicine and Bioethics 31 (5):371-390.
Charles B. Cross (1991). Explanation and the Theory of Questions. Erkenntnis 34 (2):237 - 260.
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