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SEMANTIC POLLUTION AND SYNTACTIC PURITY

Published online by Cambridge University Press:  07 August 2015

STEPHEN READ
STEPHEN READ*
Affiliation:
UNIVERSITY OF ST ANDREWS
*
*UNIVERSITY OF ST ANDREWS ARCHÉ RESEARCH CENTRE 17-19 COLLEGE ST. ST ANDREWS KY16 9AA SCOTLAND, U.K. E-mail: slr@st-andrews.ac.uk
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Abstract

Logical inferentialism claims that the meaning of the logical constants should be given, not model-theoretically, but by the rules of inference of a suitable calculus. It has been claimed that certain proof-theoretical systems, most particularly, labelled deductive systems for modal logic, are unsuitable, on the grounds that they are semantically polluted and suffer from an untoward intrusion of semantics into syntax. The charge is shown to be mistaken. It is argued on inferentialist grounds that labelled deductive systems are as syntactically pure as any formal system in which the rules define the meanings of the logical constants.

Type
Research Article
Information
The Review of Symbolic Logic , Volume 8 , Issue 4 , December 2015 , pp. 649 - 661
Copyright
Copyright © Association for Symbolic Logic 2015 

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