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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.

This paper contains a discussion of Quine's thesis of indeterminacy of translation within the more general thesis that using and understanding a language are to be conceived of as a creative and interpretative-constructional activity. Indeterminacy is considered to be ineliminable. Three scenarios are distinguished concerning, first, the reasons for indeterminacy, second, the kinds of indeterminacy and, third, different levels of a general notion of recursive interpretation. Translational hypotheses are seen as interpretational constructs. The indeterminacy thesis turns out to be a consequence of the externalizing of language, meaning, and epistemology. By means of a three-leveled interpretation model one can substantiate the crucial aspects, first, that indeterminacy is not an indeterminacy of facts of the matter and, second, that there is a significant difference between indeterminacy and underdetermination. In addition, the relationship between indeterminacy, interpretation, and charity is elucidated. Indeterminacy is seen not as an obstacle to but as a condition for communication. Charity and empathy in dialogue are conditional upon indeterminacy. All three components reveal the interpretative-constructional character of the inseparable connection of meaning and experience.

This paper proposes interpretations of the vexed notions of intensionality and intentionality and then investigates their resulting interrelations.The notion of intentionality comes from Brentano, in connection with his view that it can help us understand the mental. Setting aside Husserl’s basic definition of intentionality as not quite in line with Brentano’s explanatory purpose, this paper proposes that intentionality be defined in terms of inexistence and indeterminacy.It results that Brentano’s thesis (that all and only mental phenomena are intentional) will not be strictly true. However, intentional descriptions will always be intensional, though not all intensional descriptions will be intentional.

My theme here will be vagueness. But first recall Quine’s arguments for the indeterminacy of translation and the inscrutability of reference. (I will presume these arguments to be familiar.) If Quine is right, then there are radically different acceptable assignments of semantic values to the expressions of any language: different assignments of semantic values that for all that is determined by whatever it is that determines semantic value are all acceptable, and all equally good. Quine even argued that the indeterminacy is so radical that some sentences are true under some acceptable assignments but false under others.1 Still, Quine does not allow intermediate truth-values or truthvalue gaps. (As I will put it, avoiding the disjunctive formulation: does not allow that there are sentences which are neuter.) Quine holds on to classical logic and bivalence and requires each acceptable assignment to be classical and bivalent.2..

The paper seeks to show that Quine’s theses concerning the underdetermination of scientific theories by experience and the indeterminacy of reference cannot be reconciled if some of Quine’s central assumptions are accepted. The argument is this. Quine holds that the thesis about reference is not just a special case of the other thesis. In order to make sense of this comment we must distinguish between factual and epistemic indeterminacy. Something is factual indeterminate if it is not determined by the facts. Epistemic indeterminacy, on the other hand, is due to the lack of evidence. Quine’s claim about the relationship between the two theses is best understood as saying that reference is factually indeterminate, whereas the underdetermination of scientific theories is merely epistemic. But the latter cannot be sustained in light of Quine’s verificationism, holism and naturalism.

This paper re-addresses Quine's indeterminacy of translation/inscrutability of reference thesis, as a problem for cognitive theories of content. In contradistinction with Quine's behavioristic semantics, theories of meaning, or content, in the cognitivist tradition endorse intentional realism, and are prone to be unsympathetic to Quine's thesis. Yet, despite this fundamental difference, I argue that they are just as vulnerable to the indeterminacy. I then argue that the vulnerability is rooted in a theoretical commitment tacitly shared with Quine, namely, the commitment to the view that the perceptual input to the cognitive system is extensional - differentiating objects, but not the aspects (or, properties) they manifest. Thus, input extensionalism, and not behaviorism, is what forces the indeterminacy. I conclude by suggesting that the solution to Quine's indeterminacy problem hinges on the elaboration of an intensional theory of perceptual input, and of content in general.

In Word and Object, Quine argues from the observation that ?there is no justification for collating linguistic meanings, unless in terms of men's dispositions to respond overtly to socially observable stimulations? to the conclusion that ?the enterprise of translation is found to be involved in a certain systematic indeterminacy?. In this paper, I propose to show (1) that Quine's thesis, when properly understood, reveals in the situation of translation no peculiar indeterminacy but merely the ordinary indeterminacy present in any case of empirical investigation; (2) that it is plausible that, because the subject of inquiry is language, we are in a better position with respect to such empirical indeterminacies than we are in other areas of investigation; (3) that, in any case, Quine's arguments are impotent, for they are either contradictory or incoherent; and (4) that Quine is led to his radical conclusions because he confuses a trivial and unexciting indeterminacy, which does obtain, with the striking indeterminacy for which he argues, which does not obtain.

Semantic Indeterminacy and Scientific Realism are perhaps the two most ubiquitous and influential doctrines of the Quinean corpus. My concern is to argue against neither in isolation, but against their joint compatibility. Scientific Realism, I argue, when understood as Quine's realistic attitude toward the posits of physical theory, is essentially intentional in character. Thus, Realism requires Intentionality. In Section 1, I provide some necessary exegesis. In Section 2, I attempt to show how this Realism/Intentionality connection arises, surprisingly, within Quine's own mature work to create a tension in his views which he does not himself resolve. In Section 3, I examine the source of the Realism/Intentionality connection more deeply, and respond to possible Quinean objections to my account. In Section 4, I consider the consequences of the connection for various debates in recent analytic philosophy.

Quine's indeterminacy differs from Wittgenstein's in several aspects. First, Wittgenstein and Kripke's indeterminacy applies to a single individual in isolation and this indeterminacy disappears when the single person is brought into a wider community. Thus, this indeterminacy is only logically possible or hypothetical. Second, in Quine's problem, two translation manuals are distinguishable; while Wittgenstein's hypotheses, such as 'plus' and 'quus' and many others, are indistinguishable for the subject's past and the subject would never aware of the distinctions. Third, in Wittgenstein's view, whether a member follows the rules or not can be determined by 'outward criterion'. Quine's indeterminacy denies the existence of such 'outward criterion' for his two translation manuals.

This is the Introduction to my translation of Quine's Kant Lectures.