Daniel Rothschild

“Be Articulate: A Pragmatic Theory of Presupposition Projection” is a remarkable paper in at least two respects: First, it is the only broadly Gricean treatment of presuppositions that generates precise and accurate predictions about the pattern of presupposition projection. Schlenker proposes that presuppositions arise as a result of a pragmatic prohibition against using one short construction to express two independent meanings. This basic idea is quite an old one.1 But no one has ever elaborated this pragmatic story in a way that yields a systematic theory of presupposition projection. Indeed, for many, the fact that pragmatic approaches to presupposition did not easily account for a wide range of projection behavior (most previous accounts contented themselves by treating projection out of negation) was a reason to be skeptical of such pragmatic approaches. Schlenker’s work puts this worry about Gricean accounts to rest.

On the Lockean thesis one ought to believe a proposition if and only if one assigns it a credence at or above a threshold (Foley in Am Philos Q 29(2):111–124, 1992). The Lockean thesis, thus, provides a way of characterizing sets of all-or-nothing beliefs. Here we give two independent characterizations of the sets of beliefs satisfying the Lockean thesis. One is in terms of betting dispositions associated with full beliefs and one is in terms of an accuracy scoring system for full beliefs. These characterizations are parallel to, but not merely derivative from, the more familiar Dutch Book (de Finetti in Theory of probability, vol 1, Wiley, London, 1974) and accuracy (Joyce in Philos Sci 65(4):575–603, 1998) arguments for probabilism.

David Lewis asked in “A problem about permission” about the effects on context, specifically on the “sphere of permissibility,” of allowing behavior that had previously been forbidden. The framework of truthmaker semantics sheds useful light on this problem. Update procedures are definable in the truthmaker framework that capture more than Lewis was able to just with worlds. Connections are drawn with epistemic modals, belief revision and the semantics of exceptives. We consider how a truthmaker account of permissive update might be integrated into a larger semantic/pragmatic account of deontic language. Bridge principles are articulated associating types of deontic act with distinct update rules. Distinct forms of permission trigger distinct procedures because they aim at spheres more or less strongly verifying ◊φ\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\Diamond \varphi $$\end{document}, the claim that φ\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\varphi $$\end{document} is permissible.