Synthese 193 (3) (2016)

Authors
Robert Schwartzkopff
Universität Hamburg
Abstract
Neo-Fregeans take their argument for arithmetical realism to depend on the availability of certain, so-called broadly syntactic tests for whether a given expression functions as a singular term. The broadly syntactic tests proposed in the neo-Fregean tradition are the so-called inferential test and the Aristotelian test. If these tests are to subserve the neo-Fregean argument, they must be at least adequate, in the sense of correctly classifying paradigm cases of singular terms and non-singular terms. In this paper, I pursue two main goals. On the one hand, I show that the tests’ current state-of-the-art formulations are inadequate and, hence, cannot subserve the neo-Fregean argument. On the other hand, I propose revisions that are adequate and, hence, can subserve this argument.
Keywords Singular Terms  Neo-Fregeanism  Numbers
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DOI 10.1007/s11229-015-0777-2
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Citations of this work BETA

The Concept Horse is a Concept.Ansten Klev - 2018 - Review of Symbolic Logic 11 (3):547-572.
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