According to Gupta and Belnap, the “extensional behavior” of ‘true’ matches that of a circularly defined predicate. Besides promising to explain semantic paradoxicality, their general theory of circular predicates significantly liberalizes the framework of truth-conditional semantics. The authors’ discussions of the rationale behind that liberalization invoke two distinct senses in which a circular predicate’s semantic behavior is explained by a “revision rule” carrying hypothetical information about its extension. Neither attempted explanation succeeds. Their theory may however be modified to employ a (...) relativized notion of extension. The resulting contextualist semantics for ‘true’ construes circularity as a pragmatic phenomenon. (shrink)

To get to grips with what Shapiro does and can say about higher-order vagueness, it is first necessary to thoroughly review and evaluate his conception of (first-order) vagueness, a conception which is both rich and suggestive but, as it turns out, not so easy to stabilise. In Sections I–IV, his basic position on vagueness (see Shapiro [2003]) is outlined and assessed. As we go along, I offer some suggestions for improvement. In Sections V–VI, I review two key paradoxes of higher-order (...) vagueness, while in Section VII, I explore a possible line of response to such paradoxes given by Keefe [2000]. In Section VIII, I assess whether which Shapiro might adapt Keefe’s response to combat both paradoxes. (shrink)

In Category Mistakes, Ofra Magidor provides two arguments against the view that category mistakes express propositions that are not truth-evaluable at some world. I argue that her first, Williamsonian argument against this view begs the question, and that her second argument rests on a misleading conception of how semantic defect results in infelicity judgments. I conclude by conceding that she is still correct to stress that the view she opposes face noteworthy foundational and empirical challenges.

There is a standard objection against purported explanations of how a language L can express the notion of being a true sentence of L. According to this objection, such explanations avoid one paradox (the Liar) only to succumb to another of the same kind. Even if L can contain its own truth predicate, we can identify another notion it cannot express, on pain of contradiction via Liar-like reasoning. This paper seeks to undermine such ‘revenge’ by arguing that it presupposes a (...) dubious assumption about the linguistic expression of concepts. Successful revenge would require that there be a notion other than truth that plays the same role with respect to concept-expression that truth is naturally thought to play before we are confronted with the Liar paradox. (shrink)

There is an interesting logical/semantic issue with some mathematical languages and theories. In the language of (pure) complex analysis, the two square roots of i’ manage to pick out a unique object? This is perhaps the most prominent example of the phenomenon, but there are some others. The issue is related to matters concerning the use of definite descriptions and singular pronouns, such as donkey anaphora and the problem of indistinguishable participants. Taking a cue from some work in linguistics and (...) the philosophy of language, I suggest that i functions like a parameter in natural deduction systems. This may require some rethinking of the role of singular terms, at least in mathematical languages. (shrink)

Although arguments for and against competing theories of vagueness often appeal to claims about the use of vague predicates by ordinary speakers, such claims are rarely tested. An exception is Bonini et al. (1999), who report empirical results on the use of vague predicates by Italian speakers, and take the results to count in favor of epistemicism. Yet several methodological difficulties mar their experiments; we outline these problems and devise revised experiments that do not show the same results. We then (...) describe three additional empirical studies that investigate further claims in the literature on vagueness: the hypothesis that speakers confuse ‘P’ with ‘definitely P’, the relative persuasiveness of different formulations of the inductive premise of the Sorites, and the interaction of vague predicates with three different forms of negation. (shrink)

This paper considers the connections between semantic shiftiness (plasticity), epistemic safety and an epistemic theory of vagueness as presented and defended by Williamson (1996a, b, 1997a, b). Williamson explains ignorance of the precise intension of vague words as rooted in insensitivity to semantic shifts: one’s inability to detect small shifts in intension for a vague word results in a lack of knowledge of the word’s intension. Williamson’s explanation, however, falls short of accounting for ignorance of intension.

A provocative view has it that word meanings are underdetermined and dynamic, frustrating traditional approaches to theorizing about meaning. Peter Ludlow’s Living Words provides some of the philosophical reasons and motivations for accepting one such view, develops some of its details, and explores some of its ramifications. We critically examine some of the arguments in Living Words, paying particular attention to some of Ludlow’s views about the meanings of predicates, preservation of bivalence and the T-schema, and methods of modulating meaning.

There are well-known quasi-formal arguments that identity is a "strict" relation in at least the following three senses: (1) There is a single identity relation and a single distinctness relation; (2) There are no contingent cases of identity or distinctness; and (3) There are no vague or indeterminate cases of identity or distinctness. However, the situation is less clear cut than it at first may appear. There is a natural formal theory of identity that is very close to the standard (...) classical theory but which does not validate the formal analogues of (1)-(3). The core idea is simple: We weaken the Principle of the Indiscernibility of Identicals from a conditional to an entailment and we adopt a weakly classical logic. This paper investigates this weakly classical theory of identity (and related theories) and discusses its philosophical ramifications. It argues that we can accept a reasonable theory of identity without committing ourselves to the uniqueness, necessity, or determinacy of identity. (shrink)

Properties come in clusters. It seems impossible, for instance, that a mass could float free, unattached to any other property. David Armstrong takes this as a reductio of the bundle theory and an argument for substrata, while Peter Simons and Arda Denkel reply by supplementing the bundle theory with accounts of property interdependencies. I argue against both views. Virtually all plausible ontologies turn out to be committed to the existence of free masses.

Block’s, 5–43 1981) anti-behaviourist attack of the Turing Test not only illustrates that the test is a non-sufficient criterion for attributing thought; I suggest that it also exemplifies the limiting case of the more general concern that a machine which has access to enormous amounts of data can pass the Turing Test by simple symbol-manipulation techniques. If the answers to a human interrogator are entailed by the machines’ data, the Turing Test offers no clear criterion to distinguish between a thinking (...) machine and a machine that merely manipulates representations of words and sentences as it is found in contemporary Natural Language Processing models. This paper argues that properties about vagueness are accessible to any human-like thinker but do not normally display themselves in ordinary language use. Therefore, a machine that merely performs simple symbol manipulation from large amounts of previously acquired data – where this body of data does not contain facts about vagueness – will not be able to report on these properties. Conversely, a machine that has the capacity to think would be able to report on these properties. I argue that we can exploit this fact to establish a sufficient criterion of thought. The criterion is a specification of some of the questions that, as I explain, should be asked by the interrogator in a Turing Test situation. (shrink)

The paper clarifies what is at stake in the theory/antitheory debate in ethics and articulates the distinctive core of the method of reflective equilibrium which distinguishes it from a generic coherence constraint. I call this distinctive core 'maieutic reflection'. The paper then argues that if she accepts constructivist views in metaethics, a proponent of the method of reflective equilibrium will be committed to the existence of a moral theory.

The tracking theory treats knowledge as counterfactual covariation of belief and truth through a sphere of possibilities. I argue that the tracking theory cannot respect perceptual knowledge, because perceptual belief covaries with truth through a discontinuous scatter of possibilities.

Recently, Yalcin (Epistemic modals. Mind, 116 , 983–1026, 2007) put forward a novel account of epistemic modals. It is based on the observation that sentences of the form ‘ & Might ’ do not embed under ‘suppose’ and ‘if’. Yalcin concludes that such sentences must be contradictory and develops a notion of informational consequence which validates this idea. I will show that informational consequence is inadequate as an account of the logic of epistemic modals: it cannot deal with reasoning from (...) uncertain premises. Finally, I offer an alternative way of explaining the relevant linguistic data. (shrink)

I formulate and defend two sceptical theses on specific parts of our modal knowledge (unqualified and absolute modalities). My main point is that unqualified modal sentences are defective in that they fail to belong unambiguously to specific modal kinds and thus cannot be evaluated; hence, we must be sceptical of beliefs involving them.

Why did Frege offer only proper names as examples of presupposition triggers? Some scholars claim that Frege simply did not care about the full range of presuppositional phenomena. This paper argues, in contrast, that he had good reasons for employing an extremely narrow notion of ‘Voraussetzung’. On Frege’s view, many devices that are now construed as presupposition triggers either express several thoughts at once or merely ‘illuminate’ a thought in a particular way. Fregean presuppositions, in contrast, are essentially tied to (...) names. (shrink)

Title in English: "Being a certain way without being definitely that way: a problem for supervaluationism". I argue that the supervaluationist theory of vagueness, in its most common version, is committed to a thesis – viz., the incompatibility between being-F and not-being-definitely-F – which is doubtful, unjustified and in conflict with the definition of super-truth as truth in all admissible precisifications of a vague language.

Vagueness demands many boundaries. Each is permissible, in that a thinker may without error use it to distinguish objects, though none is mandatory. This is revealed by a thought experiment—scrambled sorites—in which objects from a sorites series are presented in a random order, and subjects are required to make their judgments without access to any previous objects or their judgments concerning them.

Art historians have long viewed southern Italy, especially the Salento region in Apulia, as a Byzantine artistic province even centuries after Byzantine rule ended there in c. 1070. The Orthodox monastery of Santa Maria di Cerrate, near Lecce, is widely considered to possess some of the region’s “most Byzantine” paintings (twelfth to fourteenth centuries). Yet a close examination of these frescoes reveals significant iconographic and stylistic differences from alleged Byzantine norms. A historiographic synopsis and review of problematic definitions of “Byzantine” (...) art are followed in this article by a critique of reductionist labels. Embracing the concept of vagueness offers an alternative way to think about Cerrate and similar borderline cases—not in terms of fixed categories (“Byzantine” or “Western”), but as points on an art-historical continuum that is enriched by acknowledging complexity. (shrink)

Some philosophers respond to Leibniz’s “shift” argument against absolute space by appealing to antihaecceitism about possible worlds, using David Lewis’s counterpart theory. But separated from Lewis’s distinctive system, it is difficult to understand what this doctrine amounts to or how it bears on the Leibnizian argument. In fact, the best way of making sense of the relevant kind of antihaecceitism concedes the main point of the Leibnizian argument, pressing us to consider alternative spatiotemporal metaphysics.

This paper develops a new version of instrumentalism, in light of progress in the realism debate in recent decades, and thereby defends the view that instrumentalism remains a viable philosophical position on science. The key idea is that talk of unobservable objects should be taken literally only when those objects are assigned properties (or described in terms of analogies involving things) with which we are experientially (or otherwise) acquainted. This is derivative from the instrumentalist tradition in so far as the (...) distinction between unobservable and observable is taken to have significance with respect to meaning. (shrink)

Questo contributo teorico propone una prospettiva innovativa nel dibattito sul concetto di “bullshit”. L’ipotesi principale è che la vaghezza sia un elemento fondamentale delle bullshit, che si focalizza sull’attività. In questo modo si supera il dibattito in letteratura che mette al centro o l’intenzionalità dell’enunciatore o la struttura e il contenuto degli enunciati. Si sostiene inoltre che la vaghezza non debba essere considerata come un limite, ma come un’opportunità per comprendere situazioni comunicative complesse. Questo differente approccio, basato sulla tradizione pragmatista, (...) supera alcuni limiti evidenziati in letteratura, aprendo la strada a una comprensione più approfondita del fenomeno delle bullshit. Offre inoltre una risposta esaustiva ad alcuni quesiti di Frankfurt e riconosce il lato “produttivo” delle bullshit, adattandosi meglio a molteplici circostanze quotidiane. Un approccio pragmatista al fenomeno-bullshit basato sulla vaghezza offre una maggiore comprensione di fenomeni complessi di comunicazione senza cadere nel “paradigma della sincerità” evidenziato da Frankfurt. (shrink)

In a series of recent papers, Crispin Wright has developed and defended an epistemic account of borderline cases which he calls ‘Liberalism’. If Verdict Exclusion is the claim that no polar verdict on borderline cases is knowledgeable, then Liberalism implies the view that Verdict Exclusion is itself nothing we are in a position to know. It is a matter of ongoing discussion what more Liberalism implies. In any case, Wright argues that Liberalism affords the means to account for the intuition (...) that polar verdicts on borderline cases are equally permissible. Here I argue that Liberalism fails to deliver and that an account of borderline cases based on Verdict Exclusion fares much better when it comes to showing that our ordinary practice of reaching verdicts on borderline cases is fully legitimate: all it needs is a reassessment of the nature of the claims such verdicts express. (shrink)

Various arguments have recently been put forward to support the existence of vague or fuzzy objects. Nevertheless, the only possibly compelling argument would support, not the existence of vague objects, but indeterminately existing objects. I argue for the non‐existence of any vague entities—either particulars or properties ‐ in the mind‐independent world. Even so, many philosophers have claimed that to reduce vagueness to semantics is of no avail, since linguistic vagueness betrays semantic incoherence and this is no less a problem than (...) is ontological incoherence. After spelling out why there are fewer essentially vague concepts than usually thought. I claim that only the linguistic competence of the whole speaking community for each word can draw the sharp boundaries for its concept, even if these are unknowable in practice and still leave a precise range of indetermination. This could explain both the existence of boundaries and our non‐removable ignorance of them, fulfilling the intuitions of the epistemic theory of vagueness with the supervaluationist's indeterminacy. (shrink)

The problem of vagueness and the sorites paradox arise because we try to treat natural language as if it were a unitary formal system. In fact, natural language contains a large variety of representational ontologies that serve different purposes and which cannot be united formally, but which can intuitively be taken as ways of seeing a common basic ontology. Using this framework, we can save classical logic from vagueness and avoid the sorites.

I argue that the self is simple metaphysically, whilst being complex psychologically and that the persona that links these moments might be dubbed ”creativity’ or ”imagination’. This theory is trinitarian because it ascribes to the self these three ”features’ or ”moments’ and they bear at least some analogy with the Persons of the Trinity, as understood within the neo- platonic, Augustinian tradition.

Given his hostility to intensional locutions, it is not surprising that Quine was suspicious of the subjunctive conditional. Although he admitted its usefulness as a heuristic device, in order to introduce dispositional terms, he held that it had no place in a finished scientific theory. In this paper I argue in support of something like Quine’s position. Many contemporary philosophers are unreflectively realist about subjunctives, regarding them as having objective truth values. I contest this. “Moderate realist” theorists, such as Lewis (...) and Stalnaker, admit that subjunctives are context-relative and often indeterminate; I argue, using some examples from the contemporary literature on conditionals, that these features are deeper and more widespread than they think. “Ultra-realist” theories, which deny any indeterminacy, are not credible. Hence subjunctives are unsuitable for certain purposes, in particular the description of mind-independent reality. (shrink)

My goal is to defend the indeterminist approach to vagueness, according to which a borderline vague utterance is neither true nor false. Indeterminism appears to contradict bivalence and the disquotational schema for truth. I agree that indeterminism compels us to modify each of these principles. Kit Fine has defended indeterminism by claiming that ordinary ambiguous sentences are neither true nor false when one disambiguation is true and the other is false. But even if Fine is right about sentences, his point (...) does not seem to generalize to utterances. What the indeterminist needs -- and what ordinary ambiguity does not provide -- is an ambiguous utterance where what is being said is indeterminate between two different propositions. I will show that such cases exist. These cases imply that the modifications that indeterminism makes to bivalence and the disquotational schema are required independently of indeterminism, in fact independently of vagueness. (shrink)

Indeterminacy is metaphysical (or worldly) if it has its source in the way the world is (rather than how it is represented or known). There are two questions we could ask about indeterminacy. First: does it exist? Second: is indeterminacy derivative? I focus on the second question. Specifically, I argue that (at least some) metaphysical indeterminacy can be derivative, where this roughly means that facts about indeterminacy are metaphysically grounded in facts about what is determinate.

According to Timothy Williamson 's epistemic view, vague predicates have precise extensions, we just don't know where their boundaries lie. It is a central challenge to his view to explain why we would be so ignorant, if precise borderlines were really there. He offers a novel argument to show that our insuperable ignorance ``is just what independently justified epistemic principles would lead one to expect''. This paper carefully formulates and critically examines Williamson 's argument. It is shown that the argument (...) does not explain our ignorance, and is not really apt for doing so. Williamson 's unjustified commitment to a controversial and crucial assumption is noted. It is also argued in three different ways that his argument is, in any case, self-defeating – the same principles that drive the argument can be applied to undermine one of its premises. Along the way, Williamson 's unstated commitment to a number of other controversial doctrines comes to light. (shrink)

Impostors are pseudo-problems masquerading as genuine problems. Impostors should be exposed. The problem of change appears genuine. But some, such as Hofweber ( 2009 ) and Rychter ( 2009 ), have recently denounced it as an impostor. They allege that it is mysterious how to answer the meta - problem of saying what problem it is: for even if any problem is genuinely about change per se, they argue, it is either empirical or trivially dissolved by conceptual analysis. There is (...) indeed an impostor in our midst. But it is the meta-problem of change. I defend the appearance that the problem of change is a genuine metaphysical problem about change. This vindicates philosophers’ lasting interest in it. It also illuminates what makes a problem metaphysical, how metaphysics relates to other inquiries, and how best to respond to attempts to undermine metaphysical problems. (shrink)

According to the mixed lexicographic/additive account of ‘better than’ and similar aggregative value comparatives like ‘healthier than’, values are multidimensional and different aspects of a value are aggregated into an overall assessment in a lexicographic way, based on an ordering of value aspects. It is argued that this theory can account for an acceptable definition of Chang’s notion of parity and that it also offers a solution to Temkin’s and Rachels’s Spectrum Cases without giving up the transitivity of overall betterness. (...) Formal details and proofs are provided in an “Appendix”. (shrink)

It is generally agreed that vague predicates like ‘red’, ‘rich’, ‘tall’, and ‘bald’, have borderline cases of application. For instance, a cloth patch whose color lies midway between a definite red and a definite orange is a borderline case for ‘red’, and an American man five feet eleven inches in height is (arguably) a borderline case for ‘tall’. The proper analysis of borderline cases is a matter of dispute, but most theorists of vagueness agree at least in the thought that (...) borderline cases for vague predicate ‘ ’ are items whose satisfaction of ‘ ’ is in some sense unclear or problematic: it is unclear whether or not the patch is red, unclear whether or not the man is tall.1 For example, Lynda Burns cites a widespread view as holding that borderline cases “are not definitely within the positive or negative extension of the predicate. … Border- line cases are seen as falling within a gap between the cases of definite application of the predicate and cases of definite application of its negation” (1995, 30). Michael Tye writes that the “concept of a border- line case is the concept of a case that is neither definitely in nor defi- nitely out” (1994b, 18). (shrink)

According to the fitting-attitude analysis of value , to be valuable is to be a fitting object of a pro-attitude. In earlier publications, setting off from this format of analysis, I proposed a modelling of value relations which makes room for incommensurability in value. In this paper, I first recapitulate the value modelling and then move on to suggest adopting a structurally similar analysis of probability. Indeed, many probability theorists from Poisson onwards did adopt an analysis of this kind. This (...) move allows to formally model probability and probability relations in essentially the same way as value and value relations. One of the advantages of the model is that we get a new account of Keynesian incommensurable probabilities, which goes beyond Keynes in distinguishing between different types of incommensurability. It also becomes possible to draw a clear distinction between incommensurability and vagueness in probability comparisons. (shrink)

Frege supposedly believes that vague predicates have no referent (Bedeutung). But given other things he evidently believes, such a position would seem to commit him to a suspect nihilism according to which assertoric sentences containing vague predicates are neither true nor false. I argue that we have good reason to resist ascribing to Frege the view that vague predicates have no Bedeutung and thus good reason to resist seeing him as committed to the suspect nihilism. In the process, I call (...) attention to several under-appreciated texts in which Frege suggests that a vague predicate, though lacking a Bedeutung of its own, can come to acquire a Bedeutung in certain contexts. The upshot of this suggestion is that vague predicates can serve the purposes of ordinary communication quite well, even if they are useless for logical purposes. (shrink)

We provide a full characterization of computational error states for information systems. The class of errors considered is general enough to include human rational processes, logical reasoning, scientific progress and data processing in some functional programming languages. The aim is to reach a full taxonomy of error states by analysing the recovery and processing of data. We conclude by presenting machine-readable checking and resolve algorithms.

The problem of reconciling the philosophical denial of ontological vagueness with common-sense beliefs positing vague objects, properties and relations is addressed. This project arises for any view denying ontological vagueness but is especially pressing for transvaluationism, which claims that ontological vagueness is impossible. The idea that truth, for vague discourse and vague thought-content, is an indirect form of language-thought correspondence is invoked and applied. It is pointed out that supervaluationism provides one way, but not necessarily the only way, of implementing (...) the idea of indirect correspondence. (shrink)

In a recent paper, Barrio, Pailos and Szmuc (BPS) show that there are logics that have exactly the validities of classical logic up to arbitrarily high levels of inference. They suggest that a logic therefore must be identified by its valid inferences at every inferential level. However, Scambler shows that there are logics with all the validities of classical logic at every inferential level, but with no antivalidities at any inferential level. Scambler concludes that in order to identify a logic, (...) we at least need to look at the validities and the antivalidities of every inferential level. In this paper, I argue that this is still not enough to identify a logic. I apply BPS’s techniques in a super/sub-valuationist setting to construct a logic that has exactly the validities and antivalidities of classical logic at every inferential level. I argue that the resulting logic is nevertheless distinct from classical logic. (shrink)

There is, on a given moral view, an agent-centered restriction against performing acts of a certain type if that view prohibits agents from performing an instance of that act-type even to prevent two or more others from each performing a morally comparable instance of that act-type. The fact that commonsense morality includes many such agent-centered restrictions has been seen by several philosophers as a decisive objection against consequentialism. Despite this, I argue that agent-centered restrictions are more plausibly accommodated within a (...) consequentialist framework than within the more standard side-constraint framework. For I argue that when we combine agent-relative consequentialism with a Kantian theory of value, we arrive at a version of consequentialism, which I call 'Kantsequentialism', that has several advantages over the standard side-constraint approach to accommodating constraints. What’s more, I argue that Kantsequentialism doesn’t have any of the disadvantages that critics of consequentializing have presumed that such a theory must have. (shrink)

Cappelen proposes a radically externalist framework for conceptual engineering. This approach embraces the following two theses. Firstly, the mechanisms that underlie conceptual engineering are inscrutable: they are too complex, unstable and non-systematic for us to grasp. Secondly, the process of conceptual engineering is largely beyond our control. One might think that these two theses are peculiar to the Austerity Framework, or to metasemantic externalism more generally. However, Cappelen argues that there is no reason to think that internalism avoids either commitment. (...) Cappelen argues that to do so she must provide arguments for 3 claims: there are inner states that are scrutable and within our control; concepts supervene on these inner states; and the determination relation from supervenience base to content is itself scrutable and within our control. In this paper, I argue that internalist conceptual role theories of content can meet Cappelen’s challenge. (shrink)

I argue for patternism, a new answer to the question of when some objects compose a whole. None of the standard principles of composition comfortably capture our natural judgments, such as that my cat exists and my table exists, but there is nothing wholly composed of them. Patternism holds, very roughly, that some things compose a whole whenever together they form a “real pattern”. Plausibly we are inclined to acknowledge the existence of my cat and my table but not of (...) their fusion, because the first two have a kind of internal organizational coherence that their putative fusion lacks. Kolmogorov complexity theory supplies the needed rigorous sense of “internal organizational coherence”. (shrink)

Normally, when we notice a change taking place, our conscious experience has a corresponding quality of phenomenal change. Here it is argued that one's experience can have this quality at or during a time when there is no change in which phenomenal properties one instantiates. This undermines a number of otherwise forceful arguments against leading metaphysical theories of change, but also requires these theories to construe change as a secondary quality, akin to color.

ABSTRACTI propose a different account of fictional objects from the ones already present in the literature. According to my account, fictional objects are culturally created abstract objects dependent for their existence on the pretence attitude adopted by a group of people towards a single fictional content. My work is divided into three parts: in the first one, I present how fictional objects come into existence according to my proposal; in the second part, I illustrate how the existence of fictional objects (...) so conceived may be ontically indeterminate; in the last part, I consider what happens when vague existence and indeterminate identity are claimed within fictional texts. (shrink)

The idea of higher-order vagueness is usually associated with conceptions of vagueness that focus on the existence of borderline cases. What sense can be made of it within a conception of vagueness that focuses on tolerance instead? A proposal is offered here. It involves understanding ‘definitely’ not as a sentence operator but as a predicate modifier, and more precisely as an intensifier, that is, an operator that shifts the predicate extension along a scale. This idea is combined with the author’s (...) earlier approach to the semantics of vague expressions, which builds on the idea of a central gap associated with a predicate. The central gap approach is generalized to handle arbitrarily many iterations of ‘definitely’. (shrink)