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Logical Consequence for Nominalists

Rossberg, Marcus and Cohnitz, Daniel (2009) Logical Consequence for Nominalists. THEORIA. An International Journal for Theory, History and Foundations of Science, 24 (2). pp. 147-168. ISSN 2171-679X

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Abstract

It has repeatedly been argued that nominalistic programmes in the philosophy of mathematics fail, since they will at some point or other involve the notion of logical consequence which is unavailable to the nominalist. In this paper we will argue that this is not the case. Using an idea of Nelson Goodman and W.V. Quine’s which they developed in Goodman and Quine (1947) and supplementing it with means that should be nominalistically acceptable, we present a way to explicate logical consequence in a nominalistically acceptable way.


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Item Type: Published Article or Volume
Creators:
CreatorsEmailORCID
Rossberg, Marcusmarcus.rossberg@uconn.edu
Cohnitz, Danielcohnitz@ut.ee
Additional Information: ISSN: 0495-4548 (print)
Keywords: Philosophy of mathematics, nominalism, logical consequence, inferentialism, Nelson Goodman, W.V. Quine
Depositing User: Users 15304 not found.
Date Deposited: 24 Feb 2014 22:46
Last Modified: 24 Feb 2014 22:46
Item ID: 10364
Journal or Publication Title: THEORIA. An International Journal for Theory, History and Foundations of Science
Publisher: Euskal Herriko Unibertsitatea / Universidad del País Vasco
Official URL: http://www.ehu.es/ojs/index.php/THEORIA/article/vi...
DOI or Unique Handle: https://doi.org/10.1387/theoria.440
Date: May 2009
Page Range: pp. 147-168
Volume: 24
Number: 2
ISSN: 2171-679X
URI: https://philsci-archive-dev.library.pitt.edu/id/eprint/10364

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