On the Substitutional Characterization of First-Order Logical Truth

History and Philosophy of Logic 25 (3):205-224 (2004)
  Copy   BIBTEX

Abstract

I consider the well-known criticism of Quine's characterization of first-order logical truth that it expands the class of logical truths beyond what is sanctioned by the model-theoretic account. Briefly, I argue that at best the criticism is shallow and can be answered with slight alterations in Quine's account. At worse the criticism is defective because, in part, it is based on a misrepresentation of Quine. This serves not only to clarify Quine's position, but also to crystallize what is and what is not at issue in choosing the model-theoretic account of first-order logical truth over one in terms of substitutions. I conclude by highlighting the need for justifying the belief that the definition of first-order logical truth in terms of models is superior to its definition in terms of substitutions

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 91,349

External links

Setup an account with your affiliations in order to access resources via your University's proxy server

Through your library

Similar books and articles

Quine, synonymy and logical truth.Robert Barrett - 1965 - Philosophy of Science 32 (3/4):361-367.
Logical consequence: A defense of Tarski.Greg Ray - 1996 - Journal of Philosophical Logic 25 (6):617 - 677.
A defense of contingent logical truths.Michael Nelson & Edward N. Zalta - 2012 - Philosophical Studies 157 (1):153-162.
Pure Second-Order Logic with Second-Order Identity.Alexander Paseau - 2010 - Notre Dame Journal of Formal Logic 51 (3):351-360.
The T-schema is not a logical truth.R. T. Cook - 2012 - Analysis 72 (2):231-239.

Analytics

Added to PP
2010-08-10

Downloads
45 (#345,268)

6 months
3 (#992,474)

Historical graph of downloads
How can I increase my downloads?

Author's Profile

Matthew W. McKeon
Michigan State University

Citations of this work

Why Is a Valid Inference a Good Inference?Sinan Dogramaci - 2015 - Philosophy and Phenomenological Research 94 (1):61-96.
Formal Notes on the Substitutional Analysis of Logical Consequence.Volker Halbach - 2020 - Notre Dame Journal of Formal Logic 61 (2):317-339.
Substitutional Validity for Modal Logic.Marco Grossi - 2023 - Notre Dame Journal of Formal Logic 64 (3):291-316.

View all 6 citations / Add more citations

References found in this work

Word and Object.Willard Van Orman Quine - 1960 - Cambridge, MA, USA: MIT Press.
Philosophy of logic.Willard Van Orman Quine - 1970 - Cambridge, Mass.: Harvard University Press. Edited by Simon Blackburn & Keith Simmons.
Word and Object.Willard Van Orman Quine - 1960 - Les Etudes Philosophiques 17 (2):278-279.
Theories and things.W. V. O. Quine (ed.) - 1981 - Cambridge, Mass.: Harvard University Press.
The ways of paradox, and other essays.Willard Van Orman Quine (ed.) - 1976 - Cambridge, Mass.: Harvard University Press.

View all 55 references / Add more references