I defend the normativity of meaning against recent objections by arguing for a new interpretation of the ‘ought’ relevant to meaning. Both critics and defenders of the normativity thesis have understood statements about how an expression ought to be used as either prescriptive or semantic. I propose an alternative view of the ‘ought’ as conveying the primitively normative attitudes speakers must adopt towards their uses if they are to use the expression with understanding.

I respond to the insightful comments of Liu Liangjian, Stephen Angle, and Trenton Wilson.

I observe that the “concept-generator” theory of Percus and Sauerland (2003), Anand (2006), and Charlow and Sharvit (2014) does not predict an intuitive true interpretation of the sentence “Plato did not believe that Hesperus was Phosphorus”. In response, I present a simple theory of attitude reports which employs a fine-grained semantics for names, according to which names which intuitively name the same thing may have distinct compositional semantic values. This simple theory solves the problem with the concept-generator theory, but, as (...) I go on to show, it has problems of its own. I present three examples which the concept-generator theory can accommodate, but the simple fine-grained theory cannot. These examples motivate the full theory of the paper, which combines the basic ideas behind the concept-generator theory with a fine-grained semantics for names. The examples themselves are of interest independently of my theory: two of them constrain the original concept-generator theory more tightly than previously discussed examples had. (shrink)

This article presents a new interpretation of the great Ming dynasty philosopher Wang Yangming’s celebrated doctrine of the “unity of knowledge and action”. Wang held that action was not unified with all knowledge, but only with an elevated form of knowledge, which he sometimes called “genuine knowledge”. I argue for a new interpretation of this notion, according to which genuine knowledge requires freedom from a form of doxastic conflict. I propose that, in Wang’s view, a person is free from this (...) form of doxastic conflict if and only if they are acting virtuously. (shrink)

AbstractThis essay argues for a new interpretation of the notion of “unity” in Yangming’s 王陽明 famous doctrine of the “unity of knowledge and action” (zhi xing he yi 知行合一). I distinguish two parts of Wang’s doctrine: one concerning training (gong fu 工夫), and one concerning the “original natural condition” of knowledge and action (ben ti 本體). I focus on the latter aspect of the doctrine, and argue that Wang holds, roughly, that a person exhibits knowledge in its original natural condition (...) if and only if the person exhibits action in its original natural condition. Moreover, I argue that Wang denies that knowledge in its original natural condition is identical to action in its original natural condition. (shrink)

This paper studies one aspect of the great Ming dynasty philosopher Wang Yangming’s (王陽明 1472-1529) celebrated doctrine of the unity of knowledge and action (zhi xing he yi 知行合一). Wang states that his doctrine does not apply to all knowledge, but only to an elevated form of knowledge, which he sometimes calls “genuine knowledge” (zhen zhi 真知). But what is “genuine knowledge”? I develop and compare four different interpretations of this notion: the perceptual, practical, normative and introspective models. The main (...) aim of the paper is to develop these models in more detail than has been done before. But at the end of the paper I argue that the introspective model is to be preferred over the alternatives. (shrink)

In this book she describes the perplexing crises which modern society faces as a result of the loss of meaning of the traditional key words of politics: justice ...

In a famous passage from the Philosophical Investigations, Wittgenstein describes a pupil who has been learning to write out various sequences of numbers in response to orders such as “+1” and “+2”. He has shown himself competent for numbers up to 1000, but when we have him continue the “+2” sequence beyond 1000, he writes the numerals 1004, 1008, 1012. As Wittgenstein describes the case: We say to him, “Look what you’re doing!” — He doesn’t understand us. We say “You (...) should have added two; look how you began the series!” — He answers: “Yes! Isn’t it right? I thought that’s how I should [sollen] do it. — Or suppose he were to say, pointing to the series, “But I went on in the same way!”1The passage continues:— It would now be no use to us to say “But don’t you see…?” — and repeat for him the old explanations and examples. — In such a case, we might perhaps say: this person naturally understands our order, once given our explanations, as we would understand the order “Add 2 up to 1000, 4 up to 2000, 6 up to 3000, and so on.”. (shrink)

An opinionated introduction to philosophical issues connected to common knowledge.

I present a new puzzle about choice under uncertainty for agents whose preferences are sensitive to multiple dimensions of outcomes in such a way as to be incomplete. In response, I develop a new theory of choice under uncertainty for incomplete preferences. I connect the puzzle to central questions in epistemology about the nature of rational requirements, and ask whether it shows that preferences are rationally required to be complete.

According to relationism, for Alice to believe that some rabbits can speak is for Alice to stand in a relation to a further entity, some rabbits can speak. But what could this further entity possibly be? Higher-order metaphysics seems to offer a simple, natural answer. On this view (roughly put), expressions in different syntactic categories (for instance: names, predicates, sentences) in general denote entities in correspondingly different ontological categories. Alice's belief can thus be understood to relate her to a sui (...) generis entity denoted by "some rabbits can speak", belonging to a different ontological category than Alice herself. This straightforward account of the attitudes has historically been deemed so attractive that it was seen as providing an important motivation for higher-order metaphysics itself (Prior [1971]). But I argue that it is not as straightforward as it might seem, and in fact that propositional attitudes present a foundational challenge for higher-order metaphysics. (shrink)

The coordinated attack scenario and the electronic mail game are two paradoxes of common knowledge. In simple mathematical models of these scenarios, the agents represented by the models can coordinate only if they have common knowledge that they will. As a result, the models predict that the agents will not coordinate in situations where it would be rational to coordinate. I argue that we should resolve this conflict between the models and facts about what it would be rational to do (...) by rejecting common knowledge assumptions implicit in the models. I focus on the assumption that the agents have common knowledge that they are rational, and provide models to show that denying this assumption suffices for a resolution of the paradoxes. I describe how my resolution of the paradoxes fits into a general story about the relationship between rationality in situations involving a single agent and rationality in situations involving many agents. (shrink)

Robert Aumann presents his Agreement Theorem as the key conditional: “if two people have the same priors and their posteriors for an event A are common knowledge, then these posteriors are equal” (Aumann, 1976, p. 1236). This paper focuses on four assumptions which are used in Aumann’s proof but are not explicit in the key conditional: (1) that agents commonly know, of some prior μ, that it is the common prior; (2) that agents commonly know that each of them updates (...) on the prior by conditionalization; (3) that agents commonly know that if an agent knows a proposition, she knows that she knows that proposition (the “K K” principle); (4) that agents commonly know that they each update only on true propositions. It is shown that natural weakenings of any one of these strong assumptions can lead to countermodels to Aumann’s key conditional. Examples are given in which agents who have a common prior and commonly know what probability they each assign to a proposition nevertheless assign that proposition unequal probabilities. To alter Aumann’s famous slogan: people can “agree to disagree”, even if they share a common prior. The epistemological significance of these examples is presented in terms of their role in a defense of the Uniqueness Thesis: If an agent whose total evidence is E is fully rational in taking doxastic attitude D to P, then necessarily, any subject with total evidence E who takes a different attitude to P is less than fully rational. (shrink)

In a recent essay, Deery and Nahmias :1255–1276, 2017) utilize interventionism about causation to develop an account of causal sourcehood in order to defend compatibilism about free will and moral responsibility from manipulation arguments. In this paper, we criticize Deery and Nahmias’s analysis of sourcehood by drawing a distinction between two forms of causal invariance that can come into conflict on their account. We conclude that any attempt to resolve this conflict will either result in counterintuitive attributions of moral responsibility (...) or will undermine their response to manipulation arguments. (shrink)

Among philosophers, Fregeanism and sententialism are widely considered two of the leading theories of the semantics of attitude reports. Among linguists, these approaches have received little recent sustained discussion. This paper aims to bridge this divide. I present a new formal implementation of Fregeanism and sententialism, with the goal of showing that these theories can be developed in sufficient detail and concreteness to be serious competitors to the theories which are more popular among semanticists. I develop a modern treatment of (...) quantifying in for Fregeanism and sententialism, in the style of Heim and Kratzer, and then show how these theories can—somewhat surprisingly—account for “third readings” on the model of the “Standard Solution” from possible-worlds semantics. The resulting Fregean/sententialist proposal has a distinctive attraction: it treats data related to counterfactual attitudes —which have proven challenging to accommodate in the setting of possible worlds semantics—straightforwardly as third readings. (shrink)

I present a problem for an influential argument of Chen Lai's, and argue that Wang Yangming may have believed that all "motivating concerns" are actions. (The archived version is a Chinese preprint; the published Chinese version is available by the external link in the entry. An English version is available on my website.).

Considering questions at the intersection of time and fiction deepens our understanding of fiction, introduces new questions for philosophy of time, and brings analytic philosophy in discussion with narratology. Philosophers debate whether fictional time can be tensed, whether fictional time can branch, repeat, pause, rewind, or skip and whether fictional time travel is possible. Much of the way we answer these questions will depend on our overall commitment to the nature of fiction. It’s also unclear what, if anything, we can (...) learn about the metaphysics of time from fiction. This chapter will introduce readers to discussions that are shaping the debates in this domain. (shrink)

Standard models in epistemic game theory make strong assumptions about agents’ knowledge of their own beliefs. Agents are typically assumed to be introspectively omniscient: if an agent believes an event with probability p, she is certain that she believes it with probability p. This paper investigates the extent to which this assumption can be relaxed while preserving some standard epistemic results. Geanakoplos (1989) claims to provide an Agreement Theorem using the “truth” axiom, together with the property of balancedness, a significant (...) relaxation of introspective omniscience. I provide an example which shows that Geanakoplos’s statement is incorrect. I then introduce a new property, local balancedness, which allows us both to correct Geanakoplos’s result, and to extend it to cases where the truth axiom may fail. I exploit this general Agreement Theorem to provide novel epistemic conditions for correlated and Nash equilibrium, both of which relax the assumption of introspective omniscience. In all three cases, the results are also extended to infinite state spaces. (This is Chapter 5 of my 2014 Oxford DPhil (PhD) thesis.). (shrink)

Davidson claims that nothing can count as a reason for a belief except another belief. This claim is challenged by McDowell, who holds that perceptual experiences can count as reasons for beliefs. I argue that McDowell fails to take account of a distinction between two different senses in which something can count as a reason for belief. While a non-doxastic experience can count as a reason for belief in one of the two senses, this is not the sense which is (...) presupposed in Davidson's claim. While I focus on McDowell's view, the argument generalizes to other views which take experiences as reasons for belief. (shrink)

Kripke’s thesis that meaning is normative is typically interpreted, following Boghossian, as the thesis that meaningful expressions allow of true or warranted use. I argue for an alternative interpretation centered on Wittgenstein’s conception of the normativity involved in “knowing how to go on” in one’s use of an expression. Meaning is normative for Kripke because it justifies claims, not to be saying something true, but to be going on as one ought from prevous uses of the expression. I argue that (...) this represents a distortion of Wittgenstein’s conception of the normativity of meaning, and that Wittgenstein’s conception is preferable. (shrink)

A chapter in an edited volume discussing philosophy and Ted Chiang's short stories. In this chapter, I show how philosophical debates about imaginative resistance and what can/can't be fictionally true influence our interpretation of "Division by Zero.".

In a 2020 article in Analysis, Lippert-Rasmussen argues that the moral equality account of the hypocrite’s lack of standing to blame fails. To object to this account, Lippert-Rasmussen considers the contrary of hypocrisy: hypercrisy. In this article, I show that if hypercrisy is a problem for the moral equality account, it is also a problem for Lippert-Rasmussen’s own account of why hypocrites lack standing to blame. I then reflect on the hypocrite’s and hypercrite’s standing to self-blame, which reveals that the (...) challenge hypercrisy poses for accounts of standing is different from the challenge Lippert-Rasmussen articulates. (shrink)

Consider the sentence “Lois knows that Superman flies, but she doesn’t know that Clark flies”. In this paper we defend a Millian contextualist semantics for propositional attitude ascriptions, according to which ordinary uses of this sentence are true but involve a mid-sentence shift in context. Absent any constraints on the relevant parameters of context sensitivity, such a semantics would be untenable: it would undermine the good standing of systematic theorizing about the propositional attitudes, trivializing many of the central questions of (...) epistemology, the philosophy of mind, and the philosophy of action. In response to this problem, we prove a series of tenability results. We show that, given certain constraints on the parameters of context sensitivity, there is a broad class of principles of propositional attitude psychology whose good standing follows from corresponding claims about people’s mental representations. But these constraints also have some surprising consequences: they are jointly incompatible with coarse-grained theories of propositions, and they are in tension with a natural picture of how speakers and hearers coordinate on the interpretation of attitude ascriptions. In light of these consequences we explore different ways in which the contextualist picture might be developed, and argue that our preferred way compares favorably with Fregeanism and neo-Russellianism. (shrink)

Are LLMs cultural technologies like photocopiers or printing presses, which transmit information but cannot create new content? A challenge for this idea, which we call bibliotechnism, is that LLMs generate novel text. We begin with a defense of bibliotechnism, showing how even novel text may inherit its meaning from original human-generated text. We then argue that bibliotechnism faces an independent challenge from examples in which LLMs generate novel reference, using new names to refer to new entities. Such examples could be (...) explained if LLMs were not cultural technologies but had beliefs, desires, and intentions. According to interpretationism in the philosophy of mind, a system has such attitudes if and only if its behavior is well explained by the hypothesis that it does. Interpretationists may hold that LLMs have attitudes, and thus have a simple solution to the novel reference problem. We emphasize, however, that interpretationism is compatible with very simple creatures having attitudes and differs sharply from views that presuppose these attitudes require onsciousness, sentience, or intelligence (topics about which we make no claims). (shrink)

I respond to P. J. Ivanhoe's criticisms of my translation of a key passage in Wang Yangming.

Imagination comes with varying degrees of sensory accompaniment. Sometimes imagining is phenomenologically lean (cognitive imagining); at other times, imagining involves or requires sensory presentation such as mental imagery (sensory imagining). Philosophers debate whether contradictions can obtain in fiction and whether cognitive imagining is robust enough to explain our engagement with fiction. In this paper, I defend the Principle of Poetic License by arguing for the Permissive View of fictional truth: we can have fictions in which a contradiction is true, everything (...) is true, or nothing is true. I show that imagination-based worries about impossible, unlimited, and empty fictions can be shown to be about sensory imagination and that sensory imagination isn’t necessary for fictional truth. (shrink)

A translation of two untranslated epistolary exchanges of Wang Yangming, which provide a record of how he understood the doctrine of the unity of knowledge and action after 1521.

In this paper we consider the possibility of a Quantum Molinism : such a view applies an analogue of the Molinistic account of free will‘s compatibility with God’s foreknowledge to God’s knowledge of (supposedly) indeterministic events at a quantum level. W e ask how (and why) a providential God could care for and know about a world with this kind of indeterminacy. We consider various formulations of such a Quantum Molinism, and after rejecting a number of options arrive at one (...) seemingly coherent formulation. (shrink)

There is ongoing debate on whether Juche (주체/主體), the North Korean state ideology, is indigenous, Marxist-Leninist, or Confucian—or if it’s a real philosophy at all. In this article, I introduce Juche and show how characteristics that philosophers identify to be unique or pronounced in premodern Korean philosophy can be found in Juche as well. Intellectual adaptation, pragmaticism, and an emphasis on continual improvement are prominent in both premodern Korean thought and Juche. Juche should be understood as a politically inflected outgrowth (...) that is embedded within the larger context of Korean philosophy. (shrink)

This paper introduces the axiom of Negative Dominance, stating that if a lottery f is strictly preferred to a lottery g, then some outcome in the support of f is strictly preferred to some outcome in the support of g. It is shown that if preferences are incomplete on a sufficiently rich domain, then this plausible axiom, which holds for complete preferences, is incompatible with an array of otherwise plausible axioms for choice under uncertainty. In particular, in this setting, Negative (...) Dominance conflicts with the standard Independence axiom. A novel theory, which includes Negative Dominance, and rejects Independence, is developed and shown to be consistent. (shrink)

Davis called for “extreme caution” in the use of non-invasive brain stimulation to treat neurological disorders in children, due to gaps in scientific knowledge. We are sympathetic to his position. However, we must also address the ethical implications of applying this technology to minors. Compensatory trade-offs associated with NIBS present a challenge to its use in children, insofar as these trade-offs have the effect of limiting the child’s future options. The distinction between treatment and enhancement has some normative force here. (...) As the intervention moves away from being a treatment toward being an enhancement—and thus toward a more uncertain weighing of the benefits, risks, and costs—considerations of the child’s best interests diminish, and the need to protect the child’s autonomy looms larger. NIBS for enhancement involving trade-offs should therefore be delayed, if possible, until the child reaches a state of maturity and can make an informed, personal decision. NIBS for treatment, by contrast, is permissible insofar as it can be shown to be at least as safe and effective as currently approved treatments, which are themselves justified on a best interests standard. (shrink)

I defend my ‘one-act’ interpretation of Kant’s account of judgments of beauty against recent criticisms by Paul Guyer. Guyer’s text-based arguments for his own ‘two-acts’ view rely on the assumption that a claim to the universal validity of one’s pleasure presupposes the prior existence of the pleasure. I argue that pleasure in the beautiful claims its own universal validity, thus obviating the need to distinguish two independent acts of judging. The resulting view, I argue, is closer to the text and (...) more phenomenologically plausible than Guyer’s two-acts alternative. (shrink)

Remarks on method in the history of Chinese philosophy for analytic philosophy. (Published in a Chinese Translation.).

I argue that Stroud's nonreductionism about meaning is insufficiently motivated. First, given that he rejects the assumption that grasp of an expression's meaning guides or instructs us in its use, he has no reason to accept Kripke's arguments against dispositionalism or related reductive views. Second, his argument that reductive views are impossible because they attempt to explain language “from outside” rests on an equivocation between two senses in which an explanation of language can be from outside language. I offer a (...) partially reductive account of meaning which appeals both to speakers’ dispositions to produce and respond to utterances in naturalistically specifiable ways, and to the normative attitudes they adopt, in so doing, to their own behavior. This account is supported, I argue, by Stroud's early treatment of Wittgenstein's rule-following considerations and in particular of the agreement in primitive judgments or reactions which Wittgenstein takes to be required for linguistic communication. (shrink)

I respond to the insightful comments of L iu Liangjian, Stephen Angle, and Trenton Wilson.

The difficult phrase ὅ ποτε ὄν ἐστι (hereafter ‘OPO’), which occurs in key passages in Aristotle’s discussions of blood and of time, has long vexed interpreters of Aristotle. This paper proposes a new interpretation of OPO, which resolves some textual and interpretative problems about Aristotle’s theories of blood and of time. My interpretation will also shed light on more general issues in Aristotle’s metaphysics. In the passages I will discuss, Aristotle takes both blood and time to be examples of his (...) peculiar ‘coupled entities’. He then uses OPO to provide explanations which differ from what we might call his ‘standard’ metaphysical explanations. On the ‘standard’ approach, Aristotle explains derivative entities—non-substances—by describing their relationship to substances. By contrast to this standard form of explanation, when Aristotle uses OPO he explains blood and time by describing their relationship to non-substances. This paper thus identifies a new species of metaphysical dependence in Aristotle. In addition, it provides detailed examination of evidence concerning whether Aristotle himself used coupled entities in his own physical and metaphysical theories. (shrink)

In this article, I aim to do two things: first, introduce Juche, the official philosophy of the Democratic People’s Republic of Korea (“North Korea”), and second, defend Juche against Alzo David-West’s allegation that it is a nonsensical philosophy. I organize David-West’s complaints into two major strands—that Juche’s axiom is too vague to be of philosophical use and that Juche makes too stark a distinction between human vs. everything else—and offer responses to both strands. My goal isn’t to defend the regime, (...) but to present its ideology in the most charitable way so its merits and demerits can be seen more clearly in future engagements. (shrink)

As most of its readers are aware, the Critique of Pure Reason is primarily concerned not with empirical, but with a priori knowledge. For the most part, the Kant of the first Critique tends to assume that experience, and the knowledge that is based on it, is unproblematic. The problem with which he is concerned is that of how we can be capable of substantive knowledge independently of experience. At the same time, however, the notion of experience plays a crucial (...) role in the central arguments of the Critique. For, again as most readers of the Critique know, Kant aims to show how we can have synthetic a priori knowledge by showing that the categories, or pure concepts of the understanding, are conditions of the possibility of experience. This means that, whether or not Kant is concerned with the notion of experience for its own sake, his account of a priori knowledge carries with it at least some commitments regarding the character of experience. If the account of a priori knowledge is to be successful, then experience has to be the kind of thing for which the categories can, in principle, serve as conditions of possibility. More specifically, experience must involve not only the senses, but also thought or understanding, for otherwise the claim that it presupposes a certain specific set of concepts is simply unintelligible. And indeed at least some parts of the Critique, in particular the so-called subjective deduction in the first edition, and the briefer passages which correspond to it in the second edition, seem to be intended to show how this requirement is met. That is, they are concerned not so much with showing that experience is governed by the categories, as with elaborating a view of experience as involving conceptual activity überhaupt. (shrink)

An action is agentially perfect if and only if, if a person tries to perform it, they succeed, and, if a person performs it, they try to. We argue that trying itself is agentially perfect: if a person tries to try to do something, they try to do it; and, if a person tries to do something, they try to try to do it. We show how this claim sheds new light on questions about basic action, the logical structure of (...) intentional action, and the notion of "options" in decision theory. On the way to these central ideas, we argue that a person can try to do something even if they believe it is impossible that they will succeed, that a person can try to do something even if they do not want to succeed, and that a person can try to do something even if they do not intend to succeed. (shrink)

Philosophy-and-literature as a subfield theorizes about the relationship between the two. Though few would explicitly say that philosophy is the point and literature the means, it’s common to see discussions of literature serving as an expression of philosophical insight and uncommon to see discussions of philosophical ideas put in service of literature. So, the aim of this paper is to explore, and suggest one concrete instance of, a literary work where philosophical concepts are instrumental for literary ends. The metaphysical claims (...) in T.S. Eliot’s “Burnt Norton” are not there to make a philosophical point, but to create a new sense of a lyric “now” that produces a time internal to the poem. This is a poetic achievement, and philosophical utterances help to produce the lyric now by foregrounding temporal readerly phenomenology. The example enriches our understanding of the possible relationships between philosophy and literature. (shrink)

A theory of common ground is proposed and defended. This is Chapter 2 of my 2014 DPhil (PhD) thesis.

As Christian List (2021) has recently argued, the increasing arrival of powerful AI systems that operate autonomously in high-stakes contexts creates a need for “future-proofing” our regulatory frameworks, i.e., for reassessing them in the face of these developments. One core part of our regulatory frameworks that dominates our everyday moral interactions is blame. Therefore, “future-proofing” our extant regulatory frameworks in the face of the increasing arrival of powerful AI systems requires, among others things, that we ask whether it makes sense (...) to extend our blaming practices to these systems. In the paper, we argue for the admittedly surprising thesis that this question should be answered in the affirmative: contrary to what one might initially think, it can make a lot of sense to blame AI systems, since, as we furthermore argue, many of the important functions that are fulfilled by blaming humans can also be served by blaming AI systems. The paper concludes that this result gives us a good pro tanto reason to extend our blame practices to AI systems. (shrink)

In the history of Chinese philosophy, Mozi calls music a “waste of resources,” considering it an aristocratic extravagance that does not benefit the everyday people. In its defense, Confucians highlight music’s moral and metaphysical qualities, arguing that music aids in moral cultivation and that music’s form mimics the structure of reality. The aim of this paper is to show that Korean philosophers provide yet another reason to think music is important. Music, and art in general, was used to express a (...) national identity at a time Korean philosophers were beginning to develop their own aesthetic consciousness in the seventeenth and eighteenth centuries. A cultural movement called Joseonpoong (조선풍), “Joseon wind”, marked a shift away from Sinocentrism and towards Korea’s own unique value and practices. The new attempt to justify art’s value apart from its relationship to morality or metaphysics set Joseon thinkers apart from their Chinese predecessors. Using art for identity expression allowed the Koreans to reconceive art’s value while Sinocentric cosmological and cultural views were being challenged with the introduction of western knowledge. Art also became a tool for reversing hermeneutic injustice as new artistic practices and standards allowed the Koreans to meaningfully engage with previously neglected aspects of their lived lives. (shrink)

It is widely agreed that more is true in a work of fiction than explicitly said. In addition to directly stipulated fictional content (explicit truth), inference and background assumptions give us implicit truths. However, this taxonomy of fictional truths overlooks an important class of fictional truth: those generated by literary formal features. Fictional works generate fictional content by both semantic and formal means, and content arising from formal features such as italics or font size are neither explicit nor implicit: not (...) explicit since formal features don’t say anything; and not implicit since content generated from formal features doesn’t rely on other truths or background assumptions. In addition to showing that our current classification is incomplete, the new class of fictional truths provides four further upshots for definitions of fictional truth, story and work identity conditions, and the relationship between literary interpretation and fictional truth. (shrink)

According to the structured theory of propositions, if two sentences express the same proposition, then they have the same syntactic structure, with corresponding syntactic constituents expressing the same entities. A number of philosophers have recently focused attention on a powerful argument against this theory, based on a result by Bertrand Russell, which shows that the theory of structured propositions is inconsistent in higher order-logic. This paper explores a response to this argument, which involves restricting the scope of the claim that (...) propositions are structured, so that it does not hold for all propositions whatsoever, but only for those which are expressible using closed sentences of a given formal language. We call this restricted principle Closed Structure, and show that it is consistent in classical higher-order logic. As a schematic principle, the strength of Closed Structure is dependent on the chosen language. For its consistency to be philosophically significant, it also needs to be consistent in every extension of the language which the theorist of structured propositions is apt to accept. But, we go on to show, Closed Structure is in fact inconsistent in a very natural extension of the standard language of higher-order logic, which adds resources for plural talk of propositions. We conclude that this particular strategy of restricting the scope of the claim that propositions are structured is not a compelling response to the argument based on Russell’s result, though we note that for some applications, for instance to propositional attitudes, a restricted thesis in the vicinity may hold some promise. (shrink)