The Logical Strength of Compositional Principles

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

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Richard Kimberly Heck
Brown University

Citations of this work

Consistency and the theory of truth.Richard Heck - 2015 - Review of Symbolic Logic 8 (3):424-466.
Methodological deflationism and metaphysical grounding: from because via truth to ground.Johannes Stern - forthcoming - Inquiry: An Interdisciplinary Journal of Philosophy.

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References found in this work

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

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