The Logical Strength of Compositional Principles

Notre Dame Journal of Formal Logic 59 (1):1-33 (2018)
  Copy   BIBTEX

Abstract

This paper investigates a set of issues connected with the so-called conservativeness argument against deflationism. Although I do not defend that argument, I think the discussion of it has raised some interesting questions about whether what I call “compositional principles,” such as “a conjunction is true iff its conjuncts are true,” have substantial content or are in some sense logically trivial. The paper presents a series of results that purport to show that the compositional principles for a first-order language, taken together, have substantial logical strength, amounting to a kind of abstract consistency statement.

Similar books and articles

On the possibility of a privileged class of logical terms.Greg Ray - 1996 - Philosophical Studies 81 (2-3):303 - 313.
Are Logical Languages Compositional?Marcus Kracht - 2013 - Studia Logica 101 (6):1319-1340.
Consistency and the theory of truth.Richard Heck - 2015 - Review of Symbolic Logic 8 (3):424-466.
Two types of deflationism.Aladdin M. Yaqub - 2008 - Synthese 165 (1):77-106.
What compositionality still can do.Philip Robbins - 2001 - Philosophical Quarterly 51 (204):328-336.
Deflating logical consequence.Lionel Shapiro - 2011 - Philosophical Quarterly 61 (243):320-342.
Remarks on Compositionality and Weak Axiomatic Theories of Truth.Günther Eder - 2014 - Journal of Philosophical Logic 43 (2-3):541-547.
From compositional to systematic semantics.Wlodek Zadrozny - 1994 - Linguistics and Philosophy 17 (4):329 - 342.

Analytics

Added to PP
2017-07-05

Downloads
222 (#91,727)

6 months
65 (#74,781)

Historical graph of downloads
How can I increase my downloads?

Author's Profile

Richard Kimberly Heck
Brown University

References found in this work

Truth.Paul Horwich - 1990 - Oxford, GB: Clarendon Press. Edited by Frank Jackson & Michael Smith.
Truth.Paul Horwich - 1999 - In Meaning. Oxford University Press. pp. 261-272.
Fixing Frege.John P. Burgess - 2005 - Princeton University Press.
Deflationist Views of Meaning and Content.Hartry Field - 2005-01-01 - In José Medina & David Wood (eds.), Truth. Blackwell.

View all 35 references / Add more references