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 | | Philosophical Work for Rigidity. | |
2.2.3.3 Descriptivism, Anti-Descriptivism, and the Importance of RigidityNone of the above considerations (from §2.2.3.2) in favor of the fruitfulness of distinguishing assertoric content and ingredient sense is beyond controversy. One might resist (critics include Everett 2005, pp. 125–38; King 2007, pp. 168–196; Shieh 2001, pp. 379–80; Soames 2005, pp. 321–3n.; defenders include Ninian 2012; Stalnaker 2014, pp. 23–24; Yalcin 2014). But the question of whether the foregoing descriptivist line of thinking is sound, or whether any descriptivist line is sound, is less important here than the question of what rides on the answer for rigidity.If the Dummettian line of thinking from §2.2.3.2 is sound, does rigidity lose its interest? It would appear that the answer is No.[11] The fundamental work for rigidity sketched already in §1.1 and discussed in greater detail below in §3 seems largely independent of these issues.The fundamental work in question concerns the metaphysics of modality, for the most part. But assertoric content does not have much to do with the metaphysics of modality, so the claim that apparently rigid designators as well as nonrigid designators have a descriptive assertoric content seems not to threaten the extent or significance of rigidity: “the propositional content of a sentence in a context is not its modal content” (Stanley 2002, 338).[12]Some of the fundamental work discussed below concerns epistemology: e.g., the issue of whether a sentence like ‘Hesperus = Phosphorus’ is a posteriori as well as necessarily true. Would the above considerations from the foregoing section (§2.2.3.2) undermine Kripke's ideashere, at least, even if the considerations do not undermine Kripke's ideas about modality? That seems unlikely. On the contrary, the claim that names, though rigid, share the semantic content of descriptions seems likely to vindicate Kripke's claims about the epistemic status of statements like the above, if anything. That is because one could say that ‘Hesperus’ and ‘Phosphorus’ differ in assertoric content (in an extended sense, applied to designators rather than statements) but they do not differ in ingredient sense or modal content. Because they do not differ in ingredient sense or modal content, being rigid designators for the same thing, ‘Hesperus = Phosphorus’ is necessarily true. Because they do differ in assertoric content, ‘Hesperus = Phosphorus’ is a posteriori; ‘Hesperus = Hesperus’, by contrast, is a priori since both occurrences of ‘Hesperus’ have one and the same assertoric content. So descriptivism of this sophisticated sort suggests one means to retain Kripke's epistemic claims. Anti-descriptivism in the form of direct reference, by contrast, is incompatible with at least one interpretation of the claim that ‘Hesperus = Phosphorus’ is “a posteriori” (but only one interpretation: see below §3.1), because on the theory of direct reference, ‘Hesperus’ and ‘Phosphorus’ just share the same content, end of story: so ‘Hesperus = Phosphorus’ shares the same content as ‘Hesperus = Hesperus’, which is a priori just in virtue of content (again, on one interpretation of the claim that the statement is “a priori”).Rigidity's work is compatible with descriptivism. Although some philosophers seem to have the impression that the important work that rigidity performs is to refute descriptivism, this seems to be a mistake. A related impression is that the important work that Kripke performs is to refute descriptivism: the rigidity of terms and more just falls out of anti-descriptivism, so anti-descriptivism is what really matters at bottom (see below, §4.2). But there are strong reasons to resist this assessment of rigidity's importance or lack thereof, too.First, it might be replied that even if names are non-descriptive, directly referring terms, it might not follow that they are rigid: a directly referential designator can be nonrigid, at least in principle (see §2.2.1). If this thought is right, then the work that rigidity performs for names does not follow from anti-descriptivism. More is required.Further, even if rigidity does follow from anti-descriptivism, anti-descriptivism does not follow from rigidity: so rigidity's work is not limited to that of direct reference. We have seen that descriptive designators may be rigid: e.g., world-indexed designators. But rigidity performs much of the same work on these as on arguably nondescriptive expressions like names. For example, ‘The evening star in α = the morning star in α’ would seem to be a necessarily true, a posteriori statement whose necessity and aposteriority cannot be explained in terms of the nondescriptive nature of the designators flanking the ‘=’ sign.Suppose we limit our consideration to names. By ignoring non-names, we can ignore descriptivedesignators that are rigid, provided that names are nondescriptive, directly referring designators: suppose again that they are. Still, it might be wise to distinguish sharply the significance of rigidity from that of the theory of direct reference. That is because rigidity's importance does not hang on the outcome of controversies surrounding the theory of direct reference (a controversial theory, as proponents concede: Salmon 2003, p. 475; Soames 2005, p. 3). Where direct reference is called into question, it should not be thought that rigidity is thereby called into question. The fate of rigidity's significance is distinct from the fate of direct reference's significance.[13]Finally, even if direct reference is to be taken for granted and rigidity for names does follow from direct reference, one might not draw the conclusion that rigidity loses interest. Here is an analogy. Few would say that if the theory of special relativity, with all of its claims about the relativity of space and time, follows from the theory of general relativity, then special relativity loses interest because in that case, general relativity is what really matters: special relativity and much more just follow from it. There is evidently something wrong with this attempt to devalue the theory of special relativity. It would be better to say that part of what is interesting about general relativity concerns its implications for the relativity of space and time, as explained by the theory of special relativity: special relativity retains its interest as part of a larger, more fundamental theory. In the same way, rigidity might be said to lose no interest even if it is explained by something more fundamental.It might be tempting, then, to think that if descriptivism survives, then rigidity is useless because its work, which is to refute descriptivism, is left unperformed. It might also be tempting to think that if descriptivism is defeated but by considerations that are more fundamental than rigidity and that give rise to rigidity, then rigidity is superfluous because its work is performed but by other phenomena. The foregoing paragraphs offer reasons for thinking that these tempting lines of thought are erroneous. If these reasons are sound, then unless there are other, quite unheralded ties between rigidity and descriptivism or its opposition, rigidity's interest would seem to be largely independent of the fate of these rival theories about semantic content. | |
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