Logical consequence and first-order soundness and completeness: A bottom up approach

Eli Dresner*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

What is the philosophical significance of the soundnessand completeness theorems for first-order logic? In the first section of this paper I raise this question, which is closely tied to current debate over the nature of logical consequence. Following many contemporary authors' dissatisfaction with the view that these theorems ground deductive validity in model-theoretic validity, I turn to measurement theory asa source for an alternative view. For this purpose I presentin the second section several of the key ideas of measurement theory, and in the third and central section of the paper I use these ideas in an account of the relation between model theory, formal deduction, and our logical intuitions.

Original languageEnglish
Pages (from-to)75-93
Number of pages19
JournalNotre Dame Journal of Formal Logic
Volume52
Issue number1
DOIs
StatePublished - 2011

Keywords

  • Completeness
  • First-order logic
  • Measurement theory
  • Soundness

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