On The Sense and Reference of A Logical Constant

Philosophical Quarterly 54 (214):134-165 (2004)
  Copy   BIBTEX

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.

Analytics

Added to PP
2009-01-28

Downloads
283 (#42,648)

6 months
71 (#15,523)

Historical graph of downloads
How can I increase my downloads?

Author's Profile

Harold Hodes
Cornell University

Citations of this work

From numerical concepts to concepts of number.Lance J. Rips, Amber Bloomfield & Jennifer Asmuth - 2008 - Behavioral and Brain Sciences 31 (6):623-642.
Logical Truth.Mario Gomez-Torrente - 2014 - Stanford Encyclopedia of Philosophy.
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.

View all 16 citations / Add more citations

References found in this work

What is logic?Ian Hacking - 1979 - Journal of Philosophy 76 (6):285-319.
The problem of logical constants.Mario Gómez-Torrente - 2002 - Bulletin of Symbolic Logic 8 (1):1-37.
New foundations for logic.Karl Popper - 1947 - Mind 56 (223):193-235.
Knowledge by deduction.Lawrence H. Powers - 1978 - Philosophical Review 87 (3):337-371.

View all 7 references / Add more references