There is at present a certain dispute about counterfactuals taking place. What is at issue is whether counterfactuals with necessarily false antecedents are all true. Some hold that such counterfactuals are vacuously true, appearances notwithstanding. Let us call such people vacuists. Others hold that some counterfactuals with necessarily false antecedents are true; some are false: it just depends on their contents. Let us call such people non-vacuists. As a notable representative of the vacuists, I will take Tim Williamson. On the (...) other side, I will take the position defended by Berto, French, Priest, and Ripley. I will argue (unsurprisingly) that the better choice is Non-Vacuism. That, however, is a subsidiary aim of this paper. The main point is to illustrate the method of theory-choice. (shrink)

I offer a critical treatment of the contrastivist response to the problem of radical scepticism. In particular, I argue that if contrastivism is understood along externalist lines then it is unnecessary, while if it is understood along internalist lines then it is intellectually dissatisfying. Moreover, I claim that a closer examination of the conditions under which it is appropriate to claim knowledge reveals that we can accommodate many of the intuitions appealed to by contrastivists without having to opt for this (...) particular brand of epistemological revisionism. (shrink)

A certain construal of the Gettier problem is offered, according to which this problem concerns the task of identifying the anti-luck condition on knowledge. A methodology for approaching this construal of the Gettier problem—anti-luck epistemology—is set out, and the utility of such a methodology is demonstrated. It is argued that a range of superficially distinct cases which are meant to pose problems for anti-luck epistemology are in fact related in significant ways. It is claimed that with these cases properly understood, (...) anti-luck epistemology is able to offer a suitable diagnosis of them which doesn’t threaten the necessity of the anti-luck condition for knowledge. (shrink)

David Chalmers burst onto the philosophical scene in the mid-1990s with his work on consciousness, which awakened slumbering zombie arguments against physicalism and transformed the explanatory gap into the hard problem of consciousness. The distinction between hard and easy problems of consciousness became a central dogma of the movement. Chalmers’ influence in philosophy and consciousness studies is unquestionable. But enthusiasts of Chalmers’ work on consciousness may be excused for not fully appreciating his own justification for drawing the hard/easy distinction, or (...) even exactly which distinction he is drawing. Consequently, it is not clear that the ‘Chalmers’ hard problem’ that has been widely influential is Chalmers’ ‘hard problem’ of consciousness. Chalmers’ ‘hard problem’ rests on, among other things: a methodological view about how philosophy—metaphysics, especially—ought to be conducted; a view about the requirements for explanation and reduction in philosophy and in the sciences; and a theory of the semantics of concepts.1 Although Chalmers writes that the present book is not intended as a foundation for his. (shrink)

En este artículo, discuto la metodología filosófica frente a los límites del sentido y de la racionalidad. Empiezo con la concepción según la cual el filósofo debería resignarse a exhibir el sinsentido de otros filósofos, pero finalmente tendría que callarse, ya que su propio discurso necesariamente sobrepasa los límites de la racionalidad. En seguida, propongo una metodología interpretativa para la filosofía en un intento de caracterizar mejor estos límites y evitar el silencio que inviabilizaría todo el discurso filosófico. Finalmente, busco (...) reconciliar la metodología filosófica interpretativa con la irracionalidad interna del filósofo apelando a una división de su mente entre el sentido común y una segunda agencia que está destinada a sobrepasarlo. Dicha esquizofrenia de la filosofía sería la única manera de entender su tarea recurrente de trazar de manera segura los límites de nuestra comprensión cotidiana del mundo. (shrink)

I clarify some ambiguities in blame-talk and argue that blame's potential for irrationality and propensity to sting vitiates accounts of blame that identify it with consciously accessible, personal-level judgements or beliefs. Drawing on the cognitive psychology of emotion and appraisal theory, I develop an account of blame that accommodates these features. I suggest that blame consists in a range of hostile, negative first-order emotions, towards which the blamer has a specific, accompanying second-order attitude, namely, a feeling of entitlement—a feeling that (...) these hostile, negative first-order emotions are what the blamed object deserves. (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)

Se han presentado diversos argumentos contra el externismo sobre el contenido. Abordo aquí uno de esos argumentos, que -como algunos otros- procede de Boghossian. Se relaciona con nuestra racionalidad inferencial. Según su razonamiento, la aprioridad de nuestras habilidades lógicas es inconsistente con ciertas asunciones externistas. Esa conclusión no está justificada. El problema que señala Boghossian constituye un reto importante para cualquier teoría del contenido, no sólo para el externismo. Además, cuando examinamos qué pueden proponer los internistas para resolver el problema, (...) constatamos que los externistas tienen un repertorio de posibles respuestas más prometedor que el de los internistas. En ese sentido, si cabe extraer alguna conclusión relevante para el debate externismo/internismo, es justamente contraria al propósito original de Boghossian, pues el escenario que plantea puede proporcionar indicios adicionales en favor del externismo. (shrink)

It is argued that a subject who has an experience as of succession can have this experience at a time, or over a period of time, during which there occurs in him no succession of conscious mental states at all. Various metaphysical implications of this conclusion are explored. One premise of the main argument is that every experience is an experience as of succession. This implies that we cannot understand phenomenal temporality as a relation among experiences, but only as a (...) primitive feature of experience, or else as something analyzable into wholly non-phenomenal terms. (shrink)

Orthodoxy has it that knowledge is absolute—that is, it cannot come in degrees. On the other hand, there seems to be strong evidence for the gradability of know-how. Ascriptions of know-how are gradable, as when we say that one knows in part how to do something, or that one knows how to do something better than somebody else. When coupled with absolutism, the gradability of ascriptions of know-how can be used to mount a powerful argument against intellectualism about know-how—the view (...) that know-how is a species of propositional knowledge. This essay defends intellectualism from the argument of gradability. It is argued that the gradability of ascriptions of know-how should be discounted as a rather superficial linguistic phenomenon, one that can be explained in a way compatible with the absoluteness of the state reported. (shrink)

Traditional procedures for rational updating fail when it comes to self-locating opinions, such as your credences about where you are and what time it is. This paper develops an updating procedure for rational agents with self-locating beliefs. In short, I argue that rational updating can be factored into two steps. The first step uses information you recall from your previous self to form a hypothetical credence distribution, and the second step changes this hypothetical distribution to reflect information you have genuinely (...) learned as time has passed. While the second step resembles traditional procedures of updating by conditionalization, the first is best understood by analogy to traditional models of how agents transmit self-locating opinions through ordinary interpersonal communication. (shrink)

The Significance Argument (SA) for the irreducibility of consciousness is based on a series of new puzzle-cases that I call multiple candidate cases. In these cases, there is a multiplicity of physical-functional properties or relations that are candidates to be identified with the sensible qualities and our consciousness of them, where those candidates are not significantly different. I will argue that these cases show that reductive materialists cannot accommodate the various ways in which consciousness is significant and must allow massive (...) vagueness in conscious experience. I also will argue that a nonreductive theory of the conscious-of relation can easily provide a very satisfying, unified explanation of the ways in which this relation is significant. (shrink)

O'Brien provides a critical assessment of Ernest Mandel's 1975 monograph Late Capitalism. In so doing, he offers a historical narrative that puts into question Mandel's framing of 'waves' of capitalist development as a process of capital accumulation that was dependent upon uneven development in the Third World. O'Brien starts by problematising Mandel's argument that an initial concentration of money, capital and bullion in the hands of Europeans explains combined and uneven development. He goes on to demonstrate that Mandel's notion of (...) imperialism as a necessary conduit for the flow of surplus capital from industrialising Europe does not stand up to the historical evidence. In fact, O'Brien maintains an alternative thesis, namely that these marginalised regions were insuffciently penetrated by European capital. (shrink)

Vague predicates, those that exhibit borderline cases, pose a persistent problem for philosophers and logicians. Although they are ubiquitous in natural language, when used in a logical context, vague predicates lead to contradiction. This paper will address a question that is intimately related to this problem. Given their inherent imprecision, why do vague predicates arise in the first place? I discuss a variation of the signaling game where the state space is treated as contiguous, i.e., endowed with a metric that (...) captures a similarity relation over states. This added structure is manifested in payoffs that reward approximate coordination between sender and receiver as well as perfect coordination. I evolve these games using a variation of Herrnstein reinforcement learning that better reflects the generalizing learning strategies real-world actors use in situations where states of the world are similar. In these simulations, signaling can develop very quickly, and the signals are vague in much the way ordinary language predicates are vague—they each exclusively apply to certain items, but for some transition period both signals apply to varying degrees. Moreover, I show that under certain parameter values, in particular when state spaces are large and time is limited, learning generalization of this sort yields strategies with higher payoffs than standard Herrnstein reinforcement learning. These models may then help explain why the phenomenon of vagueness arises in natural language: the learning strategies that allow actors to quickly and effectively develop signaling conventions in contiguous state spaces make it unavoidable. (shrink)

A lot of good philosophy is done in the armchair, but is nevertheless a posteriori. This paper clarifies and then defends that claim. Among the a posteriori activities done in the armchair are assembling and evaluating commonplaces; formulating theoretical alternatives; and integrating well-known past a posteriori discoveries. The activity that receives the most discussion, however, is the application of theoretical virtues to choose philosophical theories: the paper argues that much of this is properly seen as a posteriori.

The surviving sources on the Stoic theory of division reveal that the Stoics, particularly Chrysippus, believed that bodies, places and times were such that all of their parts themselves had proper parts. That is, bodies, places and times were composed of gunk. This realisation helps solve some long-standing puzzles about the Stoic theory of mixture and the Stoic attitude to the present.

When one considers one's own persistence over time from the first-person perspective, it seems as if facts about one's persistence are "further facts," over and above facts about physical and psychological continuity. But the idea that facts about one's persistence are further facts is objectionable on independent theoretical grounds: it conflicts with physicalism and requires us to posit hidden facts about our persistence. This essay shows how to resolve this conflict using the idea that imagining from the first-person point of (...) view is a guide to centered possibility, a type of possibility analyzed in terms of centered worlds. (shrink)

Many philosophers and psychologists hold that intuitions are, or reduce to, beliefs. The argument from intuition without beliefs threatens to undercut any such doxastic account: since there are clear cases of intuition without belief, intuitions cannot be beliefs. Advocates of the intellectual seeming account conclude that intuitions belong to the basic mental kind of intellectual seeming. I argue that rightly understood, apparent cases of intuition without belief are cases of someone having the inclination to believe that p whilst believing that (...) not-p. These can be accommodated by a disjunctive doxastic account holding that to have an intuition is to either have a belief, or to have an inclination to believe. I conclude that intuitions reduce to beliefs, and that there is no need to acknowledge intellectual seemings as basic states in our mental taxonomy. (shrink)

A dilemma put forward by Schein (1993) and Rayo (2002) suggests that, in order to characterize the semantics of plurals, we should not use predicate logic, but non-singular logic, a formal language whose terms may refer to several things at once. We show that a similar dilemma applies to mass nouns. If we use predicate logic and sets, we arrive at a Russellian paradox when characterizing the semantics of mass nouns. Likewise, a semantics of mass nouns based upon predicate logic (...) and mereological sums is too weak, since it cannot characterize the “intermediary” construals that sentences containing mass nouns may receive. We then develop an account where mass nouns are treated as non-singular terms, which may refer to several things at once. This semantics is faithful to the intuition that, if there are eight pieces of silverware on a table, the speaker refers to eight things at once when he says: “The silverware that is on the table comes from Italy”. We show that this account provides a satisfactory semantics for a wide range of sentences, including cases often seen as difficult, like “The gold on the table weighs seven ounces” (Bunt 1985) and “All phosphorus is either red or black” (Roeper 1983). (shrink)

Karen Bennett has recently argued that the views articulated by Linsky and Zalta (Philos Perspect 8:431–458, 1994) and (Philos Stud 84:283–294, 1996) and Plantinga (The nature of necessity, 1974) are not consistent with the thesis of actualism, according to which everything is actual. We present and critique her arguments. We first investigate the conceptual framework she develops to interpret the target theories. As part of this effort, we question her definition of ‘proxy actualism’. We then discuss her main arguments that (...) the theories carry a commitment to actual entities that do not exist. We end by considering and addressing a worry that might have been the driving force behind Bennett’s claim that Linsky and Zalta’s view is not fully actualistic. (shrink)

The problem of the relationship between actors and the social structures in which they are embedded is central to sociological theory. This paper suggests that the "new institutionalist" focus on fields, domains, or games provides an alternative view of how to think about this problem by focusing on the construction of local orders. This paper criticizes the conception of actors in both rational choice and sociological versions of these theories. A more sociological view of action, what is called "social skill," (...) is developed. The idea of social skill originates in symbolic interactionism and is defined as the ability to induce cooperation in others. This idea is elaborated to suggest how actors are important to the construction and reproduction of local orders. I show how its elements already inform existing work. Finally, I show how the idea can sensitize scholars to the role of actors in empirical work. (shrink)

The Rachels–Temkin spectrum arguments against the transitivity of better than involve good or bad experiences, lives, or outcomes that vary along multiple dimensions—e.g., duration and intensity of pleasure or pain. This paper presents variations on these arguments involving combinations of good and bad experiences, which have even more radical implications than the violation of transitivity. These variations force opponents of transitivity to conclude that something good is worse than something that isn’t good, on pain of rejecting the good altogether. That (...) is impossible, so we must reject the spectrum arguments. (shrink)

Discussions of the role of intuition in philosophical methodology typically proceed within the knowledge-centred framework of mainstream analytic epistemology. Either implicitly or explicitly, the primary questions in metaphilosophy frequently seem to revolve around whether or not intuition is a source of justification, evidence, or knowledge. I argue that this Standard Framework is inappropriate for methodological purposes: the epistemic standards that govern inquiry in philosophy are more stringent than the standards that govern everyday cognition. The experimentalist should instead view her criticisms (...) as analogous to calls for the use of double-blinding in science. (shrink)

In Knowledge and Its Limits Timothy Williamson argues against the luminosity of phenomenal states in general by way of arguing against the luminosity of feeling cold, that is, against the view that if one feels cold, one is at least in a position to know that one does. In this paper I consider four strategies that emerge from his discussion, and argue that none succeeds.

It is often claimed that principles of individuation imply essential properties of the things individuated. For example, sets are individuated by their members, hence sets have their members essentially. But how does this inference work? First I discuss the form of such inferences, and conclude that the essentialist inference is not a purely formal matter: although there is a form which all principles of individuation have in common, it is not true that any statement of that form is a principle (...) of individuation, and hence there is no valid inference based purely on that form. However, I argue that there is a viable version of the essentialist inference nonetheless. The resources for a proper reconstruction of this type of inference can be gathered from reflections upon the role principles of individuation play in the project of the ontologist: such principles turn out to carry a modal weight similar to that of definitions or conceptual truths. It follows that, no matter how austere the ontology, some portion of essentialist modality is inevitable. (shrink)

Epistemicism is the view that seemingly vague predicates are not in fact vague. Consequently, there must be a sharp boundary between a man who is bald and one who is not bald. Although such a view is often met with incredulity, my aim is to provide a defense of epistemicism in this essay. My defense, however, is backhanded: I argue that the formal commitments of epistemicism are the result of good practical reasoning, not metaphysical necessity. To get to that conclusion, (...) I spend most of the essay arguing that using a formal system like classical logic to manage seemingly vague situations requires practical principles to mediate between the formalism and what it aims to represent. (shrink)

Intellectualists about knowledge how argue that knowing how to do something is knowing the content of a proposition (i.e, a fact). An important component of this view is the idea that propositional knowledge is translated into behavior when it is presented to the mind in a peculiarly practical way. Until recently, however, intellectualists have not said much about what it means for propositional knowledge to be entertained under thought's practical guise. Carlotta Pavese fills this gap in the intellectualist view by (...) modeling practical modes of thought after Fregean senses. In this paper, I take up her model and the presuppositions it is built upon, arguing that her view of practical thought is not positioned to account for much of what human agents are able to do. (shrink)

This paper intends to further the understanding of the formal properties of (higher-order) vagueness by connecting theories of (higher-order) vagueness with more recent work in topology. First, we provide a “translation” of Bobzien's account of columnar higher-order vagueness into the logic of topological spaces. Since columnar vagueness is an essential ingredient of her solution to the Sorites paradox, a central problem of any theory of vagueness comes into contact with the modern mathematical theory of topology. Second, Rumfitt’s recent topological reconstruction (...) of Sainsbury’s theory of prototypically defined concepts is shown to lead to the same class of spaces that characterize Bobzien’s account of columnar vagueness, namely, weakly scattered spaces. Rumfitt calls these spaces polar spaces. They turn out to be closely related to Gärdenfors’ conceptual spaces, which have come to play an ever more important role in cognitive science and related disciplines. Finally, Williamson’s “logic of clarity” is explicated in terms of a generalized topology (“locology”) that can be considered an alternative to standard topology. Arguably, locology has some conceptual advantages over topology with respect to the conceptualization of a boundary and a borderline. Moreover, in Williamson’s logic of clarity, vague concepts with respect to a notion of a locologically inspired notion of a “slim boundary” are (stably) columnar. Thus, Williamson’s logic of clarity also exhibits a certain affinity for columnar vagueness. In sum, a topological perspective is useful for a conceptual elucidation and unification of central aspects of a variety of contemporary accounts of vagueness. (shrink)

Suppose you're unable to discriminate the colors of two objects. According to the triangulation view, their colors might nonetheless look different to you, and that's something you can discover as a result of further comparisons. The primary motivation for this view is its apparent ability to solve a puzzle involving a series of pairwise indiscriminable objects. I argue that, due to visual noise, the triangulation view doesn't really solve the puzzle.

It is undeniable that the assumption of sincerity is important to assertion, and that assertion is central to the transmission of beliefs through human testimony. Discussions of testimony, however, often assume that the epistemic importance of sincerity to testimony is that of a guarantee of access to the actual beliefs of the speaker. Other things being equal, we would do as well or better if we had some kind of unmediated access to the beliefs of the other person, without the (...) risks involved in the overt act of speaking, and the assumption of sincerity in speech is the closest we can come to this access. Contrary to this picture, I argue that sincerity has a quite different epistemic role to play in testimony than that of an indicator of the speaker’s beliefs. The epistemology of testimony requires reference to the speaker as agent, and not just the speaker’s beliefs, as well as a sense of ‘expression of belief’ that links it to the specifically addressive relation to another person. (shrink)

This paper deals with the possibility of faultless disagreement in law. It does this by looking to other spheres in which faultless disagreement appears to be possible, mainly in matters of taste and ethics. Three possible accounts are explored: the realist account, the relativist account, and the expressivist account. The paper tries to show that in the case of legal disagreements, there is a place for an approach that can take into account our intuitions in the sense that legal disagreements (...) are genuine and at times faultless. (shrink)

In natural language we rarely use relation-words with more than three argument places. This paper studies one systematic device, rooted in natural language, by which relations of greater adicity can be expressed. It is based on a higher-order relation between 1-place, 2-place, and 4-place relations (and so on) of which the relation between the positive and comparative degrees of a predicate is a special case. Two formal languages are presented in this connection, one of which represents the language of communication (...) and the other the contextual information against which the first language is interpreted. A semantical theory is described, which treats the two languages in an interdependent way. Logical consequence is non-compact. Connections with issues about vagueness are made. (shrink)

According to anti-atomism, we represent color properties (e.g., red) in virtue of representing color relations (e.g., redder than). I motivate anti-atomism with a puzzle involving a series of pairwise indistinguishable chips. I then develop two versions of anti-atomism.

It is a long time since I have admired a book as much as I admire this one. It is a long time since I have disagreed with a book as profoundly as I disagree with this one. I hope this combination of reactions on my part has more than whatever limited biographical interest it has. I hope it helps to signal the combination of excellence and provocation that mark Timothy Williamson's book, which is at once beautifully clear, forcefully argued, (...) continually insightful, and, in my view, deeply wrong.One thing that I admire about the book is Williamson's preparedness to reflect philosophically on the nature of philosophy, something that is surprisingly rare in a discipline that is marked by such a high degree of self-consciousness and in which there are so few scruples about reflecting on the nature of other disciplines. One thing that gives me pause is Williamson's lack of serious engagement with the history of philosophy. 1 I am convinced that the philosophy of philosophy will always be seriously handicapped if it is as dissociated from the history of philosophy as this. But I shall not dwell on that concern here, because Williamson is clear enough about where his interests lie and I would be in danger, if I did, of succumbing to that familiar absurdity of berating an author for not having written a numerically different book.What I will say is that Williamson's failure to engage seriously with the history of philosophy seems to me indicative of a scientism about philosophy which, despite how much he does to motivate his conception of the discipline, is manifest in how much …. (shrink)

One central debate in recent literature on epistemic normativity concerns the epistemic norm for action. This paper argues that this debate is afflicted by a category mistake: strictly speaking, there is no such thing as an epistemic norm for action. To this effect, I introduce a distinction between epistemic norms and norms with epistemic content; I argue that while it is plausible that norms of the latter type will govern action in general, epistemic norms will only govern actions characteristically associated (...) with delivering epistemic goods. (shrink)

Félix Milette Les débats concernant la question de la vérité s’articulent principalement autour du clivage entre inflationnistes et déflationnistes, les premiers cherchant à comprendre la nature sous-jacente de la propriété d’être vrai, les seconds niant que cette propriété possède une nature philosophiquement intéressante. Au cours des dernières décennies, un certain nombre de déflationnistes « modérés » ont formulé cette dernière thèse en affirmant que la vérité n’est pas une propriété substantielle. Comment devrions-nous comprendre le sens de cette affirmation? Dans cet (...) article, l’auteur se donne pour tâche d’évaluer les différentes analyses de l’insubstantialité qui ont été proposées pour saisir en quoi consiste la position distinctive du déflationnisme modéré. Nous conclurons en affirmant qu’aucune d’entre elles, dans leur forme actuelle, n’est en mesure de servir les fins du déflationnisme. (shrink)

Cette contribution a deux objectifs principaux. Le premier est de montrer que les intuitions sont caractérisées par ce que j’appellerai « une capacité rationnelle », c’est-à-dire, qu’elles sont susceptibles d’être évaluées quant à leur rationalité ou leur irrationalité. Le second objectif de cet article est d’étayer l’hypothèse selon laquelle les intuitions seraient des états affectifs proches des émotions — et non pas des états doxastiques ou des expériences perceptuelles —, en montrant qu’une telle conception affective des intuitions est seule capable (...) de rendre compte de la spécificité phénoménologique, la modularité, et la capacité rationnelle des intuitions. This article has two purposes. First, it wants to show that intuitions possess, what I shall call, “a rational capacity” : they are mental states susceptible to be assessed as rational or irrational. Second, this contribution aims at providing some evidence supporting the view that intuitions are affective states similar to emotions rather than doxastic or perceptual states. Such an affective account of the intuitions is the only one able to capture the specific phenomenology, the modularity and the rational capacity of the intuitions. (shrink)

Suppose that time t is just a few moments from now. And suppose that the proposition that Jones sits at t was true a thousand years ago. Does the thousand-years-ago truth of that proposition imply that Jones's upcoming sitting at t will not be free? This article argues that it does not. It also argues that Jones even now has a choice about the thousand-years-ago truth of that Jones sits at t . Those arguments do not require the complex machinery (...) of Ockhamism, with its distinction between hard facts and soft facts; indeed, those arguments do not require any complex machinery at all. Instead, those arguments are built on an uncontroversial understanding of the idea that truth depends on the world. In the final section of the article, those arguments are extended to show that foreknowledge of an action does not threaten that action's freedom. (shrink)

In this paper I develop a semantic theory of vagueness that is immune to worries regarding the use of precise mathematical tools. I call this view semantic quietism. This view has the advantage of being clearly compatible with the phenomenon of vagueness. The cost is that it cannot capture every robust semantic fact.

It is notoriously difficult to model the range of application of vague predicates relative to a suitable sorites series. In this paper I offer some critical remarks against an interesting view that has received little attention in the literature. According to it, the sharp cut-offs we find in our semantic models are just artifacts of the theory, and, as such, they are harmless. At the end I discuss a contextualist view that, at a cost, may be able to get around (...) the problems related to sharp cut-offs incurred in by other theories of vagueness. Es sumamente difícil modelar el rango de aplicación de predicados vagos relativo a una serie sorites apropiada. En este artículo ofrezco algunos comentarios críticos en contra de una postura interesante que ha recibido poca atención en la literatura. De acuerdo con ella, los cortes precisos que encontramos en modelos semánticos son simplemente artefactos de la teoría, y, como tales, son inofensivos. Al final del artículo discuto una postura contextualista que, no sin sacrificios, podría ser capaz de evadir los problemas relacionados con cortes precisos que otras teorías de la vaguedad poseen. (shrink)

It is a commonplace of set theory to say that there is no set of all well-orderings nor a set of all sets. We are implored to accept this due to the threat of paradox and the ensuing descent into unintelligibility. In the absence of promising alternatives, we tend to take up a conservative stance and tow the line: there is no universe. In this paper, I am going to challenge this claim by taking seriously the idea that we can (...) talk about the collection of all the sets and many more collections beyond that. A method of articulating this idea is offered through an indefinitely extending hierarchy of set theories. It is argued that this approach provides a natural extension to ordinary set theory and leaves ordinary mathematical practice untouched. (shrink)