Semantic pollution and syntactic purity

Research output: Contribution to journalArticlepeer-review

10 Citations (Scopus)
1 Downloads (Pure)

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.
Original languageEnglish
Pages (from-to)649-661
Number of pages13
JournalThe Review of Symbolic Logic
Volume8
Issue number4
Early online date7 Aug 2015
DOIs
Publication statusPublished - Dec 2015

Keywords

  • Modal logic
  • Inferentialism
  • Model theory
  • Kripke semantics
  • Labelled deductive systems
  • Tree-hypersequents
  • Gentzen
  • Poggiolesi
  • Restall

Fingerprint

Dive into the research topics of 'Semantic pollution and syntactic purity'. Together they form a unique fingerprint.

Cite this