Quine has famously put forward the indispensability argument to force belief in the existence of mathematical objects (such as classes) due to their indis- pensability to our best theories of the world (Quine 1960). Quine has also advocated the indeterminacy of reference argument, according to which ref- erence is dramatically indeterminate: given a language, there’s no unique reference relation for that language (see Quine 1969a). In this paper, I ar- gue that these two arguments are in conflict with each other. (...) Whereas the indispensability argument supports realism about mathematics, the indeter- minacy of reference argument, when applied to mathematics, provides a powerful strategy in support of mathematical anti-realism. I conclude the paper by indicating why the indeterminacy of reference phenomenon should be preferred over the considerations regarding indispensability. In the end, even the Quinean shouldn’t be a realist (platonist) about mathematics. (shrink)

This paper explores the possibility of resisting meaning scepticism – the thesis that there are many alternative incompatible assignments of reference to each of our terms - by appealing to the idea that the nature of reference is to maximize knowledge. If the reference relation is a knowledge maximizing-relation, then some candidate referents are privileged among the others - i.e., those referents we are in a position to know about – and a positive reason against meaning scepticism is thus individuated. (...) A knowledge-maximizing principle on the nature of reference was proposed by Williamson in a recent paper (Williamson 2005). According to Williamson, such a principle would count as a defeasible reason for thinking that most of our beliefs tend to be true. My paper reverses Williamson’s dialectic, and argues that reference is knowledge-maximizing from the premise that most of our beliefs tend to be true. (shrink)

Two of W. V. Quine''s most familiar doctrines are his endorsement of the distinction between underdetermination and indeterminacy, and his rejection of the distinction between analytic and synthetic truths. The author argues that these two doctrines are incompatible. In terms wholly acceptable to Quine, and based on the underdetermination/indeterminacy distinction, the author draws an exhaustive and exclusive distinction between two kinds of true sentences, and then argues that this corresponds to the traditional analytic/synthetic distinction. In an appendix the author expands (...) on one aspect of the underdetermination/indeterminacy distinction, as construed here, and discusses, in passing, some of Quine''s more general views on truth. (shrink)

Significant issues remain for understanding and evaluating the Quinean critique of the analytic/synthetic distinction. These issues are highlighted in a puzzling mismatch between the common philosophical attitude toward the critique and its broader intellectual legacy. A discussion of this mismatch sets the larger context for criticism of a recent tradition of interpretation of the critique. I argue that this tradition confuses the roles and relative importance of indeterminacy, a priority, and analyticity in the Quinean critique.

How are permutation arguments for the inscrutability of reference to be formulated in the context of a Davidsonian truth-theoretic semantics? Davidson (1979) takes these arguments to establish that there are no grounds for favouring a reference scheme that assigns London to “Londres”, rather than one that assigns Sydney to that name. We shall see, however, that it is far from clear whether permutation arguments work when set out in the context of the kind of truth-theoretic semantics which Davidson favours. The (...) principle required to make the argument work allows us to resurrect Foster problems against the Davidsonian position. The Foster problems and the permutation inscrutability problems stand or fall together: they are one puzzle, not two. (shrink)

Inscrutability arguments threaten to reduce interpretationist metasemantic theories to absurdity. Can we find some way to block the arguments? A highly influential proposal in this regard is David Lewis’ ‘eligibility’ response: some theories are better than others, not because they fit the data better, but because they are framed in terms of more natural properties. The purposes of this paper are (1) to outline the nature of the eligibility proposal, making the case that it is not ad hoc, but instead (...) flows naturally from three independently motivated elements; and (2) to show that severe limitations afflict the proposal. In conclusion, I pick out the element of the eligibility response that is responsible for the limitations: future work in this area should therefore concentrate on amending this aspect of the overall theory. (shrink)

Quine (1960, Word and object. Cambridge, Mass.:MIT Press, ch. 2) claims that there are a variety of equally good schemes for translating or interpreting ordinary talk. ‘Rabbit’ might be taken to divide its reference over rabbits, over temporal slices of rabbits, or undetached parts of rabbits, without significantly affecting which sentences get classified as true and which as false. This is the basis of his famous ‘argument from below’ to the conclusion that there can be no fact of the matter (...) as to how reference is to be divided. Putative counterexamples to Quine’s claim have been put forward in the past (see especially Evans 1975; 1975, Journal of Philosophy, LXXII(13), 343–362. Reprinted in McDowell (Ed.), Gareth Evans: Collected papers. Oxford: Clarendon Press.), and various patches have been suggested (e.g. Wright (1997, The indeterminacy of translation. In C. Wright & B. Hale (Eds.), A companion to the philosophy of language (pp. 397–426). Oxford: Blackwell)). One lacuna in this literature is that one does not find any detailed presentation of what exactly these interpretations are supposed to be. Drawing on contemporary literature on persistence, the present paper sets out detailed semantic treatments for fragments of English, whereby predicates such as ‘rabbit’ divide their reference over four-dimensional continuants (Quine’s rabbits), instantaneous temporal slices of those continuants (Quine’s rabbit-slices) and the simple elements which compose those slices (undetached rabbit parts) respectively. Once we have the systematic interpretations on the table, we can get to work evaluating them. (shrink)