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Stephen Yablo

Print publication date: 2010

Print ISBN-13: 9780199266487

Published to Oxford Scholarship Online: September 2010

DOI: 10.1093/acprof:oso/9780199266487.001.0001

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Carving Content at the Joints

Carving Content at the Joints

(p.246) 10 Carving Content at the Joints

Stephen Yablo (Contributor Webpage)

Oxford University Press

Frege's content carving approach to mathematical ontology overgenerates; for all manner of objects come into view when we recarve, the vast majority with nothing whatsoever to recommend them. This difficulty is addressed with a distinction between the recarvings that a content will tolerate and the ones that it cries out for. Fictionalists and Fregean Platonists can agree that the world cries out for numerical treatment, while agreeing to disagree about how far this argues for the existence of numbers.

Keywords:   numbers, abstraction principles, neo-Fregean Platonism, naturalness, Frege, content carving, confirmation, sense, reference

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