Online research in philosophy

Whether or not we achieve absolute generality in philosophical inquiry, most philosophers would agree that ordinary inquiry is rarely, if ever, absolutely general. Even if the quantifiers involved in an ordinary assertion are not explicitly restricted, we generally take the assertion’s domain of discourse to be implicitly restricted by context.1 Suppose someone asserts (2) while waiting for a plane to take off.

The aim of this paper is to argue that update semantics is a natural framework for contextually restricted quantification, and to illustrate its use in the analysis of anaphoric definite descriptions and certain other anaphoric terms.

The overall strategy of Lycan’s paper is to distinguish three kinds of conditional assertion theories, and then to show, in order, how they are variously afflicted by a set of problems. The three kinds of theory were the Quine-Rhinelander theory (or the Simple Illocutionary theory), The Semanticized Quine-Rhinelander, and the No Truth Value theory (or NTV). This strategy offers considerable clarity, but it comes at a cost, for what I take to be the best version of a conditional assertion theory contains core parts of all three theories. In what follows, I will suggest that many of the objections offered by Lycan can be dealt when all the pieces are taken into consideration at the same time. But I will also suggest that a refined version of what Lycan called the Immediate Implausibility objection does show us that the conditional assertion theory is false.

The paper reviews a number of approaches for handling restricted quantification in relevant logic, and proposes a novel one. This proceeds by introducing a novel kind of enthymematic conditional.