Stephen Schiffer

SI is a paradox because it presents four appearances that cannot all be veridical: first, it appears to be valid—after all, it’s both classically and intuitionistically valid; second, its sorites premiss, (2), seems merely to state the obvious fact that in the sorites march from 2¢ to 5,000,000,000¢ there is no precise point that marks the cutoff between not being rich and being rich; third, premiss (1), which asserts that a person with only 2¢ isn’t rich, is surely true; and fourth, the conclusion (3), which asserts that a person with 5,000,000,000¢—i.e. $50 million—isn’t rich, is surely false.

S produces the sounds “It’s snowing” in the presence of A, and A instantaneously comes to know that it’s snowing. S has communicated to, or told, A that it’s snowing, and, as a result of S’s speech act, A came to know that it was snowing. Philosophical interest in communication turns on four inter-related questions. The first is about the logical structure of communication, or, more specifically, about whether communication is a relation that holds among three things just in case the first communicated the second to the third. The second is about the explication, or analysis, of communication. The third is about the role of communication in the explication of linguistic meaning. And the fourth is about how knowledge is acquired by communication. The questions are interrelated in that answers to any one question may constrain answers to one or more of the others.

Pleonastic entities are entities whose existence is secured by something-from-nothing transformations, these being conceptually valid inferences that take one from a statement in which no reference is made to a thing of a certain kind to a statement—often a pleonastic equivalent of the first statement—in which there is a reference to a thing of that kind. The possibility of pleonastic entities is further explained in terms of the notion of one theory being a conservative extension of another. Propositions are pleonastic entities, and the way in which they are individuated shows how pleonastic propositions are both fine-grained and unstructured.

When I was invited to participate in this symposium, I welcomed what I thought would be the opportunity to apply my views about the semantics and logic of vague language to the real-life problems of vagueness legal theorists worry about. I confess to having formed my ambition without a very clear sense of what jurisprudential problems might be illuminated by general theories of vagueness. To be sure, I was able to guess that a symposium on Vagueness and Law must have something to do with the dilemmas courts face when it is indeterminate how a legal dispute should be resolved. What I had not thought through was how philosophers like myself might help to illuminate those dilemmas by bringing to bear on them their own logico-semantical theories of vagueness. This was unfortunate because, having done a bit of homework, I have reached the conclusion that philosophical theories of vagueness, even if true, have nothing to offer jurisprudential concerns about vagueness. Once she is reminded of certain platitudes about vagueness, the legal theorist needs no further help from philosophers of language and logic. Let’s see why this is so

The proper statement and assessment of Russell's theory depends on one's semantic presuppositions. A semantic framework is provided, and Russell's theory formulated in terms of it. Referential uses of descriptions raise familiar problems for the theory, to which there are, at the most general level of abstraction, two possible Russellian responses. Both are considered, and both found wanting. The paper ends with a brief consideration of what the correct positive theory of definite descriptions might be, if it is not the Russellian theory.

There are two things we must know in order to know what vagueness is. We must know what kinds of things can be vague. Evidently, predicate and sentence types can be vague, but what about tokens of those types? What about statements and other speech acts? What about abstract entities such as properties and propositions? And what about names and the boundaries of physical objects? Then, of course, for each kind of thing that can be vague, we must know in what vagueness for that kind consists. Needless to say, that there are these two questions doesn’t mean that we should try to answer the first before trying to answer the second.