David E. Taylor

The idea of there being “no fact of the matter” (NFM) features centrally in Quine’s indeterminacy theses. Yet there has been little discussion of how exactly Quine understands this idea. In this paper I identify, develop and then critically evaluate Quine’s conception of NFM. In Sects. 3–4 I consider a handful of intuitive semantic and ontological conceptions of NFM and argue that none is workable from within Quine’s philosophy. I conclude that the failure of each of these proposals is due to the immanent status of truth and existence for Quine. In Sect. 5 I then present Quine’s official conception of NFM. Briefly, Quine’s idea is that there is NFM between two theories of translation iff those theories are physically equivalent. I develop this idea in detail. Finally, I raise two independent problems for this conception of NFM. In Sect. 6 I argue that Quine’s definition is too strong: given what he means by NFM, his arguments for indeterminacy—even granting all their premises and internal reasoning—simply cannot support his claim that there is NFM regarding translation; instead they establish a strictly weaker conclusion. In Sect. 7 I argue that Quine’s conception of NFM is in significant tension with his thesis of physicalism, and that he must give up one or the other

Neo-Fregeanism is a family of positions in the philosophy of mathematics that combines a certain type of platonism about mathematical abstracta with a certain type of logicism about the foundations and epistemology of mathematics. This paper addresses the following question: what sort of theory of reference can/should NF be committed to? The theory of reference I propose for NF comes in two parts. First, an alethic account of referential success: the fact that a term ‘a’ succeeds in referring to something depends on facts about truth. Second, a deflationary account of referential specification: given that ‘a’ refers to something, the fact that ‘a’ refers to b specifically follows from the disquotational schema for reference together with the fact that b = a. In the first section of the paper I argue that NF should be committed to the first part of this theory. This a point on which there is already agreement. The bulk of the paper is therefore devoted to arguing that NF should be committed to the second part, given that it is committed to the first part. I close the paper by indicating some significant implications and a possible problem for this theory of reference.

We implement a recent characterization of metaphysical indeterminacy in the context of orthodox quantum theory, developing the syntax and semantics of two propositional logics equipped with determinacy and indeterminacy operators. These logics, which extend a novel semantics for standard quantum logic that accounts for Hilbert spaces with superselection sectors, preserve different desirable features of quantum logic and logics of indeterminacy. In addition to comparing the relative advantages of the two, we also explain how each logic answers Williamson’s challenge to any substantive account of determinacy: For any proposition p, what could the difference between “p” and “it’s determinate that p” ever amount to?

Can quantum theory provide examples of metaphysical indeterminacy, indeterminacy that obtains in the world itself, independently of how one represents the world in language or thought? We provide a positive answer assuming just one constraint of orthodox quantum theory: the eigenstate-eigenvalue link. Our account adds a modal condition to preclude spurious indeterminacy in the presence of superselection sectors. No other extant account of metaphysical indeterminacy in quantum theory meets these demands.

One of the most popular and enduring approaches to indeterminacy phenomena (e.g., vagueness) over the past several decades has been some form or another of supervaluationism. I argue that supervaluationism is inadequate as a model of indeterminacy: There is an entire class of examples of indeterminacy, characterized by a common “branching” structure, that cannot be modeled in the way supervaluationism proposes. I demonstrate my conclusion explicitly with respect to two specific examples—indeterminate personal identity and indeterminate reference—showing how supervaluationism can model neither. Importantly, my arguments apply to both traditional “semantic” and more recent “metaphysical” versions of supervaluationism.

The current literature on indeterminacy centers around two projects. One concerns the logic of indeterminacy; the other concerns its nature or source. The aim of this paper is to introduce, motivate and go some way toward addressing a new, third project: that of providing what I call a minimal characterization of indeterminacy. An MC, to a first approximation, is a relatively pre-theoretical characterization of indeterminacy that is neutral between the various substantive theories of the nature and logic of indeterminacy. An MC thus captures a generic sense of indeterminacy that, at least in principle, is recognized by all parties to the debate over the phenomenon’s underlying nature and logic. I begin by introducing the concept of an MC and outlining some of the main theoretical virtues of providing an MC. I then establish some desiderata on a suitable MC, and use these desiderata to rule out various initially attractive proposals. In the final part of the paper I sketch the beginnings of my own MC and defend it against objections.

This essay argues that deflationism is incompatible with the phenomenon of referential indeterminacy. This puts the deflationist in the difficult position of having to deny the possibility of what otherwise seems like a manifest and theoretically important phenomenon. Section 1 provides background on deflationism. Section 2 considers an intuitive argument by Stephen Leeds to the effect that deflationism precludes RI; the essay argues that this argument does not succeed. The rest of the essay presents its own, distinct argument for the incompatibility of deflationism and RI. Section 3 argues that direct RI—RI that is not simply a derivative of some other, nonreferential instance of indeterminacy—is strictly incompatible with deflationism. Section 4 considers a couple of different ways the deflationist might try to achieve indirect RI—via indeterminate identity and indeterminate synonymy—and argues that each is unsatisfactory.

Discussions of “indeterminacy” customarily distinguish two putative types: semantic indeterminacy (SI)—indeterminacy that’s somehow the product of the semantics of our words/concepts—and metaphysical indeterminacy (MI)—indeterminacy that exists as a mind/language-independent feature of reality itself. A popular and influential thought among philosophers is that all indeterminacy must be SI. In this paper we challenge this thought. Our challenge is guided by the question: What, exactly, does it take for a case of indeterminacy to count as SI? We argue that the only satisfactory answer to this question must take SI to be grounded in a more basic type of MI. We conclude that SI cannot be made sense of without implicating MI. If there’s any indeterminacy, there must be indeterminacy in the world itself.