Equivalent explanations and mathematical realism. Reply to “Evidence, Explanation, and Enhanced Indispensability”

Synthese 193 (2):423-434 (2016)
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Abstract

The author of “Evidence, Explanation, Enhanced Indispensability” advances a criticism to the Enhanced Indispensability Argument and the use of Inference to the Best Explanation in order to draw ontological conclusions from mathematical explanations in science. His argument relies on the availability of equivalent though competing explanations, and a pluralist stance on explanation. I discuss whether pluralism emerges as a stable position, and focus here on two main points: whether cases of equivalent explanations have been actually offered, and which ontological consequences should follow from these

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Andrea Sereni
Scuola Universitaria Superiore IUSS Pavia

References found in this work

Truth and objectivity.Crispin Wright - 1992 - Cambridge: Harvard University Press.
Realism, Mathematics & Modality.Hartry H. Field - 1989 - New York, NY, USA: Blackwell.
What numbers could not be.Paul Benacerraf - 1965 - Philosophical Review 74 (1):47-73.
Platonism and anti-Platonism in mathematics.Mark Balaguer - 1998 - New York: Oxford University Press.
Realism, Mathematics, and Modality.Hartry Field - 1988 - Philosophical Topics 16 (1):57-107.

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