Theoria : An International Journal for Theory, History and Fundations of Science 24 (2):147-168 (2009)
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| Abstract |
It is often claimed that nominalistic programmes to reconstruct mathematics fail, since they will at some point involve the notion of logical consequence which is unavailable to the nominalist. In this paper we use an idea of Goodman and Quine to develop a nominalistically acceptable explication of logical consequence.
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| Keywords | Philosophy of mathematics nominalism logical consequence inferentialism Nelson Goodman W.V. Quine |
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| ISBN(s) | 0495-4548 |
| DOI | theoria200924214 |
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References found in this work BETA
Mathematics Without Numbers: Towards a Modal-Structural Interpretation.Geoffrey Hellman - 1989 - Oxford University Press.
A Subject with No Object: Strategies for Nominalistic Interpretation of Mathematics.John P. Burgess & Gideon Rosen - 1997 - Oxford University Press.
To Be is to Be a Value of a Variable (or to Be Some Values of Some Variables).George Boolos - 1984 - Journal of Philosophy 81 (8):430-449.
View all 64 references / Add more references
Citations of this work BETA
Somehow Things Do Not Relate: On the Interpretation of Polyadic Second-Order Logic.Marcus Rossberg - 2015 - Journal of Philosophical Logic 44 (3):341-350.
Numbers and Propositions Versus Nominalists: Yellow Cards for Salmon & Soames. [REVIEW]Rafal Urbaniak - 2012 - Erkenntnis 77 (3):381-397.
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2009-01-28
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