Truth pluralists say that there are many ways to be true. Aaron Cotnoir (“Pluralism and Paradox” in: Pedersen and Wright (eds) Truth and pluralism: current debates, Oxford University Press, Oxford, 2013) has suggested a “uniquely pluralist response to the liar”. The basic idea is to maintain that, if a sentence says of itself that it is not true in a certain way, then that sentence is not apt to be true in that way, but is instead apt to be true (...) in a different way. While this is consistent with the basic tenets of truth pluralism, it is an open question whether or not it is amenable to any actual pluralist theory. The primary goal of this paper is to argue that Cotnoir's proposal is amenable to form-based pluralism, rather than domain-based pluralism. In particular, in Section 1, I argue that there are several serious obstacles in the way of the domain-based pluralist who wishes to endorse Cotnoir's proposal; in Section 2, I show how the form-based pluralist can overcome these difficulties. The secondary goal of the paper is to argue that most, if not all, substantivists about truth should find form-based pluralism independently attractive. As such, the possibility of a form-based pluralist solution to the liar is not merely a technical curiosity, but something in which substantivists about truth have a vested interest. (shrink)

This dissertation explores the prospects of postdeflationary substantive theorizing about truth. Postdeflationary theories define the concept of truth or the property of being a true truthbearer in a way that respects the deflationary desiderata of clarity, purity, and permissiveness with truth-aptness, without a necessary commitment to the core negative thesis of the deflationary approach. Postdeflationary substantive theories further acknowledge the complexity and explanatory utility of truth in understanding and defining other concepts and phenomena. The motivation for pursuing this study arises (...) from the so-called contemporary crisis of truth, where a substantive understanding of truth is subjected to widespread skepticism, critique, and even cynicism both inside and outside of philosophy in formal and mundane discourse. To better understand this crisis, particular attention is directed towards the deflationary critique of substantive theories of truth, which is a prevalent point of discussion in contemporary literature on western analytic philosophy. By exploring the limits and philosophical sustainability of deflationary critique of substantive accounts of truth, valuable insight is gained about the contemporary crisis of truth and the potential for substantive theorizing about truth in general. This dissertation composes of an introduction and four original research publications that address two connected themes: exploration of the philosophical sustainability of deflationary critique of substantive theories of truth, and exploration of the prospects for development of the now popular substantive pluralist theories of truth. These themes constitute both negative and positive aspects in relation to analyzing the prospects of postdeflationary substantive theorizing about truth. The first part of this dissertation focuses on arguing against the widespread deflationary readings of W.V.O. Quine’s truth, who is widely interpreted as a prominent and influential deflationist in both the secondary literature on his philosophy and contemporary truth-theoretic debates more broadly conceived. The first essay demonstrates that Quine’s immanent conception of truth involves commitments that are incompatible with general and theory-specific framings of the deflationary thesis. The second essay demonstrates conflicts between Quine’s views and what has in recent literature been argued as strong and moderate variants of the deflationary thesis. In conclusion, these essays demonstrate that the widespread deflationary readings of Quine’s truth are mistaken, thus removing a prominent thinker from the deflationists ranks while simultaneously casting suspicion towards the philosophical sustainability of the deflationary approach in general. The second part of this dissertation explores the prospects of postdeflationary substantive theorizing about truth by analyzing the limits and prospects for development of the increasingly popular substantive pluralist theories. The third essay explores different ways in which semantic ambiguity poses trouble for current pluralist models. The fourth essay argues that to achieve the theoretical desiderata that pluralists ask from discourse domains, the latter ought to be individuated on ontological rather than topical grounds. In conclusion, these essays demonstrate that while current pluralist models involve shortcomings, they encompass potential for development and provide a viable prospect for sustainable postdeflationary substantive theorizing about truth. (shrink)

W. V. Quine famously defended two theses that have fallen rather dramatically out of fashion. The first is that intensions are “creatures of darkness” that ultimately have no place in respectable philosophical circles, owing primarily to their lack of rigorous identity conditions. However, although he was thoroughly familiar with Carnap’s foundational studies in what would become known as possible world semantics, it likely wouldn’t yet have been apparent to Quine that he was fighting a losing battle against intensions, due in (...) large measure to developments stemming from Carnap’s studies and culminating in the work of Kripke, Hintikka, and Bayart. These developments undermined Quine’s crusade against intensions on two fronts. First, in the context of possible world semantics, intensions could after all be given rigorous identity conditions by defining them (in the simplest case) as functions from worlds to appropriate extensions, a fact exploited to powerful and influential effect in logic and linguistics by the likes of Kaplan, Montague, Lewis, and Cresswell. Second, the rise of possible world semantics fueled a strong resurgence of metaphysics in contemporary analytic philosophy that saw properties and propositions widely, fruitfully, and unabashedly adopted as ontological primitives in their own right. This resurgence — happily, in my view — continues into the present day. -/- For a time, at any rate, Quine experienced somewhat better success with his second thesis: that higher-order logic is, at worst, confused and, at best, a quirky notational alternative to standard first-order logic. However, Quine notwithstanding, a great deal of recent work in formal metaphysics transpires in a higher-order logical framework in which properties and propositions fall into an infinite hierarchy of types of (at least) every finite order. Initially, the most philosophically compelling reason for embracing such a framework since Russell first proposed his simple theory of types was simply that it provides a relatively natural explanation of the paradoxes. However, since the seminal work of Prior there has been a growing trend to consider higher-order logic to be the most philosophically natural framework for metaphysical inquiry, many of the contributors to this volume being among the most important and influential advocates of this view. Indeed, this is now quite arguably the dominant view among formal metaphysicians. -/- In this paper, and against the current tide, I will argue in §1 that there are still good reasons to think that Quine’s second battle is not yet lost and that the correct framework for logic is first-order and type-free — properties and propositions, logically speaking, are just individuals among others in a single domain of quantification — and that it arises naturally out of our most basic logical and semantical intuitions. The data I will draw upon are not new and are well-known to contemporary higher-order metaphysicians. However, I will try to defend my thesis in what I believe is a novel way by suggesting that these basic intuitions ground a reasonable distinction between “pure” logic and non-logical theory, and that Russell-style semantic paradoxes of truth and exemplification arise only when we move beyond the purely logical and, hence, do not of themselves provide any strong objection to a type-free conception of properties and propositions. -/- Most of my arguments in §1 are largely independent of any specific account of the nature of properties and propositions beyond their type-freedom. However, I will in addition argue that there are good reasons to take propositions, at least, to be very fine-grained. My arguments are thus bolstered significantly if it can be shown that there are in fact well-defined examples of logics that are not only type-free but which comport with such a conception of propositions. It is the purpose of §2 to lay out a logic of this sort in some detail, drawing especially upon work by George Bealer and related work of my own. With the logic in place, it will be possible to generalize the line of argument noted above regarding Russell-style paradoxes and, in §3, apply it to two propositional paradoxes — the Prior-Kaplan paradox and the Russell-Myhill paradox — that are often taken to threaten the sort of account developed here. (shrink)

Truth pluralists say that truth-bearers in different “discourses”, “domains”, “domains of discourse”, or “domains of inquiry” are apt to be true in different ways – for instance, that mathematical discourse or ethical discourse is apt to be true in a different way to ordinary descriptive or scientific discourse. Moreover, the notion of a “domain” is often explicitly employed in formulating pluralist theories of truth. Consequently, the notion of a “domain” is attracting increasing attention, both critical and constructive. I argue that (...) this is a red herring. First, I identify the theoretical role for which pluralists appeal to domains, which is to answer what I call the “Individuation Problem”: saying what determines the way in which a particular truth-bearer is apt to be true. Second, I argue that pluralists need not appeal to domains for this purpose. I thus conclude that, despite the usual way of glossing the view, there is no role for the notion of a “domain” to play in the pluralist’s theory of truth. I argue that this defuses the “Problem of Mixed Atomics” and allows the pluralist to sidestep potentially intractable disputes about the nature of domains. (shrink)

According to strong pluralist theories of truth, ‘true’ designates different properties depending on which sentences it’s applied to. An influential objection to strong pluralism claims it can’t make sense of logically complex sentences whose components have different truth-properties. For example, if ‘true’ designates correspondents for ‘Tabby is a cat’, and it designates coherence for ‘Tabby is beautiful’, what does it designate for ‘Tabby is a beautiful cat’ (Tappolet 1997)? Will Gamester (2019) has proposed a novel pluralist theory meant to avoid (...) the problem. The theory construes ‘true’ as designating a different property for each possible logical structure, and he has challenged monists to identify shortcomings of the theory in virtue of its pluralism. This paper answers Gamester’s challenge and identifies three such shortcomings. (1) The theory can’t make sense of the idea that all true conjunctions share the property of having true conjuncts, in virtue of which they are true. (2) The theory imposes unmotivated syntactic constraints on the language in which the theory of truth is formulated. (3) Avoiding the second shortcoming requires arbitrary choices among equally good candidates for “the” logical form of sentences and hence the designation of ‘true’ as applied to them. (shrink)

Differences among scientific, mathematical, and ethical subject matters motivate a pluralism where distinct domains of subject matter are associated with distinct truth properties and logics. However, it is unclear how such pluralism might accommodate potentially attractive epistemic norms, such as that one ought to believe only what is true, and that one ought to believe what is logically true. In this paper, I show how such pluralism can accommodate such norms by supplementing the account developed in Yu (2017a,b) with epistemic, (...) doxastic, and deontic operators. The upshot is that pluralism is compatible with, even if not committed to, monism about epistemic norms. (shrink)

ABSTRACTThis paper discusses the normativity of truth and logic. The paper has three objectives. First, I argue that logic is normative for thought in the sense of underwriting instrumental rationality. Logic is a good instrument for achieving truth, the goal of cognition. In recent work, Filippo Ferrari has argued that the normative nature of truth may vary across domains. My second aim is to extend this idea to logic, against the background of the idea that logic serves to underwrite instrumental (...) rationality. The third objective is to further develop Ferrari’s framework of normative alethic variability. I do so through a discussion of the normative problem of mixed compounds: the challenge of providing a principled account of the normativity of compounds with constituents whose respective normative profiles differ. I argue that the challenge can be met. Besides offering a solution to a major challenge, the response offered sheds new light on the normative variability framework: the truth of a single mixed compound may have different normative profiles across different ‘disagreement-realizers’. This feature of the view is rooted in a key commitment of the normative variability framework – namely, that disagreement and alethic normativity are intimately connected. (shrink)

According to truth pluralism, sentences from different areas of discourse can be true in different ways. This view has been challenged to make sense of logical validity, understood as necessary truth preservation, when inferences involving different areas are considered. To solve this problem, a natural temptation is that of replicating the standard practice in many-valued logic by appealing to the notion of designated values. Such a simple approach, however, is usually considered a non-starter for strong versions of truth pluralism, since (...) designation seems to embody nothing but a notion of generic truth. In this paper, I explore the analogy with many-valued logic by comparing the problem of mixed inferences with Suszko’s thesis, and argue that the strong pluralist has room to resist the commitment to a generic property of truth by undermining the semantic significance of Suszko’s reduction. (shrink)

Alethic pluralism holds that there are many truth properties. The view has been challenged to make sense of the notion of logical validity, understood as necessary truth preservation, when inferences involving different areas of discourse are concerned. I argue that the solution proposed by Edwards to solve the analogous problem of mixed compounds can straightforwardly be adapted to give alethic pluralists also a viable account of validity.

According to moderate truth pluralism, there is a single property that qualifies as truth for any domain whatsoever. However, propositions concerning different domains may possess this single truth property in virtue of different properties. Empirical propositions may be true in virtue of corresponding to reality while legal propositions may be true in virtue of cohering with the body of law. Moderate pluralists claim that truth is a completely general doxastic norm: for any p, the belief that p is correct if (...) and only if p is true—regardless of what domain p pertains to. Moderate pluralists additionally claim that domain-specific properties are local doxastic norms which serve as standards of correctness within their respective domains, and that they do so because they are ways of being true and truth is a general, doxastic norm. This paper offers a grounding-theoretic account of the metaphysics of moderate pluralism and uses it as platform for developing a criticism of the moderate pluralist’s account of doxastic normativity. Two strategies are explored as potential responses to the criticism, but are ultimately dismissed. (shrink)