Semantic pollution and syntactic purity
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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.
Read , S 2015 , ' Semantic pollution and syntactic purity ' The Review of Symbolic Logic , vol. 8 , no. 4 , pp. 649-661 . DOI: 10.1017/S1755020315000210
The Review of Symbolic Logic
Copyright © Association for Symbolic Logic 2015. This work is made available online in accordance with the publisher’s policies. This is the author created, accepted version manuscript following peer review and may differ slightly from the final published version. The final published version of this work is available at http://dx.doi.org/10.1017/S1755020315000210
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