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Models, Truth, and Realism$
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Barry Taylor

Print publication date: 2006

Print ISBN-13: 9780199286690

Published to Oxford Scholarship Online: September 2006

DOI: 10.1093/0199286698.001.0001

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Changing the Rules

Changing the Rules

Chapter:
(p.85) 4 Changing the Rules
Source:
Models, Truth, and Realism
Author(s):

Barry Taylor

Publisher:
Oxford University Press
DOI:10.1093/0199286698.003.0004

This chapter examines other ways the Argument from Completeness might be attacked. It identifies two strategies that the realist might deploy in order to avoid the difficulties engendered by the applicability of the Completeness Theorem to the ideal theory. The first is to insist that the theory be cast in some non-first-order language which resists completeness. The second is to allow ideal theory to continue to be rendered in first-order form, but to argue for a semantics in which interpretations take such a new shape that there is no longer any guarantee that any consistent theory has a model in the new sense.

Keywords:   Completeness Theorem, objective truth, David Lewis, G.H. Merrill, ideal theory

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