Mathematical explanation and the theory of why-questions

British Journal for the Philosophy of Science 49 (4):603-624 (1998)
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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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References found in this work

Laws and symmetry.Bas C. Van Fraassen - 1989 - New York: Oxford University Press.
The Scientific Image.William Demopoulos & Bas C. van Fraassen - 1982 - Philosophical Review 91 (4):603.
The nature of mathematical knowledge.Philip Kitcher - 1983 - Oxford: Oxford University Press.
The nature of explanation.Peter Achinstein - 1983 - New York: Oxford University Press.

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