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

1Citations
Citations of this article
8Readers
Mendeley users who have this article in their library.

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. © 2010 by University of Notre Dame.

Cite

CITATION STYLE

APA

Dresner, E. (2011). Logical consequence and first-order soundness and completeness: A bottom up approach. Notre Dame Journal of Formal Logic, 52(1), 75–93. https://doi.org/10.1215/00294527-2010-038

Register to see more suggestions

Mendeley helps you to discover research relevant for your work.

Already have an account?

Save time finding and organizing research with Mendeley

Sign up for free