On The Sense and Reference of A Logical Constant
Philosophical Quarterly 54 (214):134-165 (2004)
Abstract
Logicism is, roughly speaking, the doctrine that mathematics is fancy logic. So getting clear about the nature of logic is a necessary step in an assessment of logicism. Logic is the study of logical concepts, how they are expressed in languages, their semantic values, and the relationships between these things and the rest of our concepts, linguistic expressions, and their semantic values. A logical concept is what can be expressed by a logical constant in a language. So the question “What is logic?” drives us to the question “What is a logical constant?” Though what follows contains some argument, limitations of space constrain me in large part to express my Credo on this topic with the broad brush of bold assertion and some promissory gestures.Author's Profile
DOI
10.1111/j.0031-8094.2004.00345.x
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Citations of this work
Inferentialism.Florian Steinberger & Julien Murzi - 2017 - In Blackwell Companion to Philosophy of Language. Wiley Blackwell. pp. 197-224.
From numerical concepts to concepts of number.Lance J. Rips, Amber Bloomfield & Jennifer Asmuth - 2008 - Behavioral and Brain Sciences 31 (6):623-642.
One-step Modal Logics, Intuitionistic and Classical, Part 1.Harold T. Hodes - 2021 - Journal of Philosophical Logic 50 (5):837-872.
On the Equivalence Conjecture for Proof-Theoretic Harmony.Florian Steinberger - 2013 - Notre Dame Journal of Formal Logic 54 (1):79-86.
References found in this work
A Nice Derangement of Epitaphs.Donald Davidson - 1986 - In Ernest Lepore (ed.), Truth and Interpretation: Perspectives on the Philosophy of Donald Davidson. Blackwell. pp. 433--446.
The problem of logical constants.Mario Gómez-Torrente - 2002 - Bulletin of Symbolic Logic 8 (1):1-37.