Friday, January 26, 2018

Published: The Logical Strength of Compositional Principles

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.
Find it on Project Euclid, or download the pre-publication version here.

The paper is a kind of companion to "Disquotationalism and the Compositional Principles" (PDF) and is basically the philosophical side of the paper "Consistency and the Theory of Truth" (here).

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