In this paper we investigate a semantics for first-order logic originally proposed by R. van Rooij to account for the idea that vague predicates are tolerant, that is, for the principle that if x is P, then y should be P whenever y is similar enough to x. The semantics, which makes use of indifference relations to model similarity, rests on the interaction of three notions of truth: the classical notion, and two dual notions simultaneously defined in terms of it, (...) which we call tolerant truth and strict truth. We characterize the space of consequence relations definable in terms of those and discuss the kind of solution this gives to the sorites paradox. We discuss some applications of the framework to the pragmatics and psycholinguistics of vague predicates, in particular regarding judgments about borderline cases. (shrink)

This paper presents and defends a way to add a transparent truth predicate to classical logic, such that and A are everywhere intersubstitutable, where all T-biconditionals hold, and where truth can be made compositional. A key feature of our framework, called STTT (for Strict-Tolerant Transparent Truth), is that it supports a non-transitive relation of consequence. At the same time, it can be seen that the only failures of transitivity STTT allows for arise in paradoxical cases.

Substructural approaches to paradoxes have attracted much attention from the philosophical community in the last decade. In this paper we focus on two substructural logics, named ST and TS, along with two structural cousins, LP and K3. It is well known that LP and K3 are duals in the sense that an inference is valid in one logic just in case the contrapositive is valid in the other logic. As a consequence of this duality, theories based on either logic are (...) tightly connected since many of the arguments for and objections against one theory reappear in the other theory in dual form. The target of the paper is making explicit in exactly what way, if any, ST and TS are dual to one another. The connection will allow us to gain a more fine-grained understanding of these logics and of the theories based on them. In particular, we will obtain new insights on two questions concerning ST which are being intensively discussed in the current literature: whether ST preserves classical logic and whether it is LP in sheep’s clothing. Explaining in what way ST and TS are duals requires comparing these logics at a metainferential level. We provide to this end a uniform proof theory to decide on valid metainferences for each of the four logics. This proof procedure allows us to show in a very simple way how different properties of inferences (unsatisfiability, supersatisfiability and antivalidity) that behave in very different ways for each logic can be captured in terms of the validity of a metainference. (shrink)

In a recent paper, Barrio, Tajer and Rosenblatt establish a correspondence between metainferences holding in the strict-tolerant logic of transparent truth ST+ and inferences holding in the logic of paradox LP+. They argue that LP+ is ST+’s external logic and they question whether ST+’s solution to the semantic paradoxes is fundamentally different from LP+’s. Here we establish that by parity of reasoning, ST+ can be related to LP+’s dual logic K3+. We clarify the distinction between internal and external logic and (...) argue that while ST+’s nonclassicality can be granted, its self-dual character does not tie it to LP+ more closely than to K3+. (shrink)

Recent experiments have shown that naive speakers find borderline contradictions involving vague predicates acceptable. In Cobreros et al. we proposed a pragmatic explanation of the acceptability of borderline contradictions, building on a three-valued semantics. In a reply, Alxatib et al. show, however, that the pragmatic account predicts the wrong interpretations for some examples involving disjunction, and propose as a remedy a semantic analysis instead, based on fuzzy logic. In this paper we provide an explicit global pragmatic interpretation rule, based (...) on a somewhat richer semantics, and show that with its help the problem can be overcome in pragmatics after all. Furthermore, we use this pragmatic interpretation rule to define a new consequence-relation and discuss some of its properties. (shrink)

Supervaluationism is a well known theory of vagueness. Subvaluationism is a less well known theory of vagueness. But these theories cannot be taken apart, for they are in a relation of duality that can be made precise. This paper provides an introduction to the subvaluationist theory of vagueness in connection to its dual, supervaluationism. A survey on the supervaluationist theory can be found in the Compass paper of Keefe (2008); our presentation of the theory in this paper will be short (...) to get rapidly into the logical issues. This paper is relatively self-contained. A modest background on propositional modal logic is, though not strictly necessary, advisable. The reader might find useful the Compass papers Kracht (2011) and Negri (2011) (though these papers cover issues of more complexity than what is demanded to follow this paper). (shrink)

Building on early work by Girard ( 1987 ) and using closely related techniques from the proof theory of many-valued logics, we propose a sequent calculus capturing a hierarchy of notions of satisfaction based on the Strong Kleene matrices introduced by Barrio et al. (Journal of Philosophical Logic 49:93–120, 2020 ) and others. The calculus allows one to establish and generalize in a very natural manner several recent results, such as the coincidence of some of these notions with their classical (...) counterparts, and the possibility of expressing some notions of satisfaction for higher-level inferences using notions of satisfaction for inferences of lower level. We also show that at each level all notions of satisfaction considered are pairwise distinct and we address some remarks on the possible significance of this (huge) number of notions of consequence. (shrink)

In a previous paper (see ‘Tolerant, Classical, Strict’, henceforth TCS) we investigated a semantic framework to deal with the idea that vague predicates are tolerant, namely that small changes do not affect the applicability of a vague predicate even if large changes do. Our approach there rests on two main ideas. First, given a classical extension of a predicate, we can define a strict and a tolerant extension depending on an indifference relation associated to that predicate. Second, we can use (...) these notions of satisfaction to define mixed consequence relations that capture non-transitive tolerant reasoning. Although we gave some empirical motivation for the use of strict and tolerant extensions, making use of them commits us to the view that sentences of the form ‘ p∨¬p ’ and ‘ p∧¬p ’ are not automatically valid or unsatisfiable, respectively. Some philosophers might take this commitment as a negative outcome of our previous proposal. We think, however, that the general ideas underlying our previous approach to vagueness can be implemented in a variety of ways. This paper explores the possibility of defining mixed notions of consequence in the more classical super/sub-valuationist setting and examines to what extent any of these notions captures non-transitive tolerant reasoning. (shrink)

We say that a sentence A is a permissive consequence of a set X of premises whenever, if all the premises of X hold up to some standard, then A holds to some weaker standard. In this paper, we focus on a three-valued version of this notion, which we call strict-to-tolerant consequence, and discuss its fruitfulness toward a unified treatment of the paradoxes of vagueness and self-referential truth. For vagueness, st-consequence supports the principle of tolerance; for truth, it supports the (...) requisite of transparency. Permissive consequence is non-transitive, however, but this feature is argued to be an essential component to the understanding of paradoxical reasoning in cases involving vagueness or self-reference. (shrink)

Paraconsistent approaches have received little attention in the literature on vagueness (at least compared to other proposals). The reason seems to be that many philosophers have found the idea that a contradiction might be true (or that a sentence and its negation might both be true) hard to swallow. Even advocates of paraconsistency on vagueness do not look very convinced when they consider this fact; since they seem to have spent more time arguing that paraconsistent theories are at least as (...) good as their paracomplete counterparts, than giving positive reasons to believe on a particular paraconsistent proposal. But it sometimes happens that the weakness of a theory turns out to be its mayor ally, and this is what (I claim) happens in a particular paraconsistent proposal known as subvaluationism. In order to make room for truth-value gluts subvaluationism needs to endorse a notion of logical consequence that is, in some sense, weaker than standard notions of consequence. But this weakness allows the subvaluationist theory to accommodate higher-order vagueness in a way that it is not available to other theories of vagueness (such as, for example, its paracomplete counterpart, supervaluationism). (shrink)

It is often assumed that the supervaluationist theory of vagueness is committed to a global notion of logical consequence, in contrast with the local notion characteristic of modal logics. There are, at least, two problems related to the global notion of consequence. First, it brings some counterexamples to classically valid patterns of inference. Second, it is subject to an objection related to higher-order vagueness . This paper explores a third notion of logical consequence, and discusses its adequacy for the supervaluationist (...) theory. The paper proceeds in two steps. In the first step, the paper provides a deductive notion of consequence for global validity using the tableaux method. In the second step, the paper provides a notion of logical consequence which is an alternative to global validity, and discusses i) whether it is acceptable to the supervaluationist and ii) whether it plays a better role in a theory of vagueness in the face of the problems related to the global notion. (shrink)

Though it is standardly assumed that supervaluationism applied to vagueness is committed to global validity, Achille Varzi (2007) argues that the supervaluationist should take seriously the idea of adopting local validity instead. Varzi’s motivation for the adoption of local validity is largely based on two objections against the global notion: that it brings some counterexamples to classically valid rules of inference and that it is inconsistent with unrestricted higher-order vagueness. In this discussion I review these objections and point out ways (...) to address them not considered in Varzi’s paper. (shrink)

Arguments based on Leibniz's Law seem to show that there is no room for either indefinite or contingent identity. The arguments seem to prove too much, but their conclusion is hard to resist if we want to keep Leibniz's Law. We present a novel approach to this issue, based on an appropriate modification of the notion of logical consequence.

The principle of tolerance characteristic of vague predicates is sometimes presented as a soft rule, namely as a default which we can use in ordinary reasoning, but which requires care in order to avoid paradoxes. We focus on two ways in which the tolerance principle can be modeled in that spirit, using special consequence relations. The first approach relates tolerant reasoning to nontransitive reasoning; the second relates tolerant reasoning to nonmonotonic reasoning. We compare the two approaches and examine three specific (...) consequence relations in relation to those, which we call: strict-to-tolerant entailment, pragmatic-to-tolerant entailment, and pragmatic-to-pragmatic entailment. The first two are nontransitive, whereas the latter two are nonmonotonic. (shrink)

Arguments based on Leibniz's Law seem to show that there is no room for either indefinite or contingent identity. The arguments seem to prove too much, but their conclusion is hard to resist if we want to keep Leibniz's Law. We present a novel approach to this issue, based on an appropriate modification of the notion of logical consequence.

One way in which we might approach the challenge posed by the Sorites Paradox is considering that Sorites-susceptible predicates have several candidate extensions, or several ways in which these expressions can be made precise. For example, a candidate extension for the predicate ‘is a baby’ is the set of humans of less than two years, but also the set of those less than two years and one second, and of those less than two years and two seconds. In this chapter (...) we present and discuss two theories for vague predicates based on this idea: supervaluationism and subvaluationism. The chapter is structured in three parts. The first presents the super- and subvaluationist theories: their similarities and differences in the semantics, the resulting logics with their most characteristic features. The second reviews the super- and subvaluationist solutions to the Sorites Paradox and provides discussion on several controversies surrounding these theories. The third part introduces proof procedures for s’valuationist logics. (shrink)

This paper is concerned with the claim that supervaluationist consequence is not classical for a language including an operator for definiteness. Although there is some sense in which this claim is uncontroversial, there is a sense in which the claim must be qualified. In particular I defend Keefe's position according to which supervaluationism is classical except when the inference from phi to Dphi is involved. The paper provides a precise content to this claim showing that we might provide complete (and (...) sound) systems of deduction for supervaluationist consequence in which proofs are completely classical with the exception of a single last step (involving the above mentioned inference). (shrink)

If God knew I were going to write this paper, was I able to refrain from writing it this morning? One possible response to this question is that God's knowledge does not take place in time and therefore He does not properly fore-know. According to this response, God knows absolutely everything, it's just that He knows everything outside of time. The so-called timeless solution was one of the influential responses to the foreknowledge problem in classical Christian Theology. This solution, however, (...) seemed to lose support in the recent debate. For example, Pike claims that "the doctrine of God's timelessness entered Christian Theology because Platonic thought was stylish at the time" and Hasker catalogues this as one of the minor solutions to the problem. One possible source for this general attitude towards timelessness is the thought that the very idea of timelessness is incoherent. In this paper I argue that that the timeless solution to the foreknowledge problem is congenial with the supervaluationist theory of branching time and that this formal framework provides, in fact, a precise characterization of the timeless solution to the foreknowledge problem. The views presented in this paper are in line with those of Kretzmann and Stump, Leftow and De Florio and Frigerio. (shrink)

This article deals with supervaluationism and the failure of truth-functionality. It draws some distinctions that may contribute to a better understanding of this semantic framework.

This paper discusses Fara's so-called 'Paradox of Higher-Order Vagueness' concerning supervaluationism. In the paper I argue that supervaluationism is not committed to global validity, as it is largely assumed in the literature, but to a weaker notion of logical consequence I call 'regional validity'. Then I show that the supervaluationist might solve Fara's paradox making use of this weaker notion of logical consequence. The paper is discussed by Delia Fara in the same volume.

This paper discusses Fara's so-called 'Paradox of Higher-Order Vagueness' concerning supervaluationism. In the paper I argue that supervaluationism is not committed to global validity, as it is largely assumed in the literature, but to a weaker notion of logical consequence I call 'regional validity'. Then I show that the supervaluationist might solve Fara's paradox making use of this weaker notion of logical consequence. The paper is discussed by Delia Fara in the same volume.

The supervaluationist theory of vagueness is committed to a particular notion of logical consequence known as global validity. According to a recent objection, this notion of consequence is more problematic than is usually thought since i) it bears a commitment to some sort of bizarre inferences, ii) this commitment threatens the internal coherence of the theory and iii) we might find counterexamples to classically valid pat- terns of inference even in the absence of a definitely-operator (or similar device). As a (...) consequence, the supervaluationist theory itself is in trou- ble. This paper discusses the objection. (shrink)

How should political power and influence be allocated in democratic systems? That is, roughly, the core of the boundary problem in democratic theory. As of late, some authors have begun paying increased attention to the methodological aspects of this dispute. This paper attempts to make a twofold contribution to this ‘methodological turn’. On the one hand, it identifies and analyzes five desiderata of a successful principle of democratic inclusion. Any such principle, I argue, must be grounded in a clearly identifiable (...) set of values, must provide a clear standard of inclusion, must specify the relevant modalities of inclusion, must provide sound bridging principles, and must be extensionally adequate. In the first half of the paper, these desiderata are developed and critically scrutinized. On the other hand, I also extract three lessons from the previous discussion. First, that a unique answer to the boundary problem (i.e. one grounded in one single principle) is unlikely. Second, that a satisfactory answer to the boundary problem need not necessarily appeal, as some have argued, to distinctively democratic values. And third, that intuitions about political exclusion (i.e. those requiring or permitting the exclusion of some individuals) should be treated with special caution. (shrink)

El tema del hombre ha sido el centro de la reflexión filosófica de los últimos siglos, siendo motivo de debate desde comienzos de la modernidad. El filósofo italiano Michele Federico Sciacca (1908-1975) tuvo conciencia clara de esto, estableciendo que la filosofía debe ser ontología y, sobre todo, ontología del hombre como existente. Esto para él significa, por lo menos, dos cosas: que el autoconocimiento es el punto de partida en el estudio filosófico y que desde el conocimiento del hombre concreto, (...) de la persona humana, podemos entender todo lo real. (shrink)

“But surely if it's not irrational, it can’t be OCD!” my friend exclaimed, when I told them about the paper Carolina Flores and Brent Kious provided their excellent comments for. In all fairness, my friend is not working in philosophy, or psychiatry, or in psychology. Still, I take their sentiment to be expressive of a widely held view: if you have a certain mental illness, then you must be irrational. Conversely, rationality guarantees mental health; the sane life is the rational (...) life. -/- In my paper, I attempted to complicate this picture. My main line of thought was that if the sane life is the rational life, we do not have a good conception of rationality yet. For, our best theories of rationality fail to capture what is going wrong in some cases of obsessive-compulsive disorder (OCD). Addressing the criticisms raised by my commentators will allow me to clear up some misunderstandings and sketch avenues for further work. (shrink)

The relevance of Martin Heidegger’s thinking to Paul Celan’s poetry is well known. Between Celan and Heidegger proposes that, while the relation between them is undeniable, it is also marked by irreducible discord. Pablo Oyarzun begins with a deconstruction of Celan’s Todtnauberg, written after the poet visited Heidegger in his Schwarzwald cabin. The poem stands as a milestone, not only in the complex relationship between the two men but also in the state of poetry and philosophy in late modernity, (...) in the aftermath of the Holocaust. Discussion then turns to The Meridian, Celan’s acceptance speech for the prestigious Büchner Prize for German language literature. Other issues are insistently addressed—place, art, language, pain, existence, and the Heideggerian notion of dialogue—as Oyarzun revisits several essential poems from Celan’s oeuvre. A rare translation of Oyarzun’s work into English, Between Celan and Heidegger affirms the uniqueness of Celan’s poetry in confrontation both with Heidegger’s discourse on Dichtung (a poetic saying centered in the idea of gathering) and with Western philosophical notions of art, technē, mimesis, poiesis, language, and thinking more broadly. (shrink)

Grounded in a will to adapt to dangers, and espouse both responsibility and resilience, voluntary measures have largely replaced one of the oldest public health strategies, quarantine. The Covid-19 pandemic, however, elicited a broad sweep of tactics from the archive of public health armoury. On a general level, this review essay addresses the common measures rolled out by various authorities against the pandemic - the lock-downs, reopening process, financial support and vaccination. By relating these measures to 1) the “plague-stricken town”, (...) deployed during the seventeenth and eighteenth centuries in Europe by the Polizeistaat; 2) the “self-regulation strategy” that emerged with liberal ideas at the end of the eighteenth century; and 3) the “minimum security” programmed by neoliberal governmentality in the second half of the twentieth century, it is suggested that tensions between freedom and security during, and after, the pandemic can be better understood. To end, the essay noticed that the pandemic has enforced tensions in the administration and calibration of individual wishes and collective wellbeing, creating a fragile “freedom-security relationship” and new problem space for self-regulation. (shrink)

This article is a critical study of the recently published edition of the young Descartes's texts: Descartes, Étude du bon sens; La recherche de la verité et autres écrits de jeunesse (1616-1631). Edición, traducción, presentación y notas de Vincent Carraud y Giles Olivo, con la colaboración de Corinna Vermeulen, París, PUF, colección Épiméthée, 2013, 453 pp.

The bridge between psychiatry and neuroscience is not the only one we have to build; it is also necessary to narrow the gap between neuroscience and philosophy. This does not imply reducing the latter to the former or vice versa, but rather linking each other without eliminating their own characteristics. Taking that into account, Dan Zahavi’s phenomenology of mind can make a great contribution by presenting itself like a different option within philosophy of mind, which up until the last few (...) years was dominated by the analytic tradition. In this chapter I present Zahavi’s proposal in four steps. Firstly, I clarify the term phenomenology. This question is not accidental because nowadays this concept is used by diverse traditions and with different meanings. Secondly, I make the fundamental distinction between first-person-perspective—which corresponds to Phenomenology—and third-person-perspective—compatible with neuroscience. Thirdly, I explain the methodological stages assumed by Zahavi from the Husserlian tradition. These stages enable him to study from the first-person-perspective rigorously: epoché, phenomenological reduction, eidetic variation, and intersubjective verification. Finally, I develop the issue of naturalization of Phenomenology in order to establish a dialogue between science and philosophy. For Zahavi that naturalization does not necessarily imply reductionism, but can be understood as something necessary for a fruitful exchange between those disciplines. (shrink)

El artículo tiene como objetivo presentar y valorar críticamente la propuesta de John Rogers Searle sobre la libertad. Para esto, en un primer momento mostraremos que para él la libertad debe entenderse desde la perspectiva de la primera persona, es decir desde la experiencia subjetiva. Desde allí establece que la libertad se expresa en el llamado fenómeno de la brecha, es decir, en el salto que experimentamos entre la causa y el efecto en el proceso de realización de una acción. (...) Este salto se manifiesta en los actos llevados a cabo por razones independientes del deseo, como puede observarse en el altruismo fuerte. Y para Searle, solo un Yo, cuyas características emergen del cerebro, puede asumir estas razones para actuar acorde a ellas. En un segundo momento, dedicado a la valoración crítica de la propuesta de Searle, consideramos la importancia de la perspectiva de primera persona para entender la libertad. Luego mostramos que una noción analógica de causa permite entender mejor el acto libre, como así también evitar el dualismo y el reduccionismo materialista. Esta visión, propia de la tradición aristotélico-tomista y que podríamos denominar de tercera persona, debe complementarse con una reflexión desde la interioridad, como realiza Michele Federico Sciacca, es decir, desde una perspectiva de primera persona. Ambas líneas filosóficas confluyen en la consideración metafísica del hombre. Concluimos luego con una breve reflexión sobre el tema del vínculo interdisciplinar como forma de entender las temáticas antropológicas. (shrink)

The main purpose of these introductory remarks is to give the reader a sense of Philip Rossi’s philosophical project and its importance. I will then advance an interpretation of what motivates Kant’s commitment to community, and, on its basis, object to Rossi’s views on radical evil –a point which affects how one should conceive the moral vocation of humanity and the role that politics and religion play within it. My reconstruction concludes with a sketch of how the five contributions to (...) this Symposium fit together and deepen our understanding of Rossi’s overall project. (shrink)

Frost's article advocates for universal models of reading and critiques recent models that concentrate in what has been described as “cracking the orthographic code.” Although the challenge to develop models that can account for word recognition beyond Indo-European languages is welcomed, we argue that reading models should also be constrained by general principles of visual processing and object recognition.

To what degree can language be acquired from linguistic input alone? This question has vexed scholars for millennia and is still a major focus of debate in the cognitive science of language. The complexity of human language has hampered progress because studies of language–especially those involving computational modeling–have only been able to deal with small fragments of our linguistic skills. We suggest that the most recent generation of Large Language Models (LLMs) might finally provide the computational tools to determine empirically (...) how much of the human language ability can be acquired from linguistic experience. LLMs are sophisticated deep learning architectures trained on vast amounts of natural language data, enabling them to perform an impressive range of linguistic tasks. We argue that, despite their clear semantic and pragmatic limitations, LLMs have already demonstrated that human-like grammatical language can be acquired without the need for a built-in grammar. Thus, while there is still much to learn about how humans acquire and use language, LLMs provide full-fledged computational models for cognitive scientists to empirically evaluate just how far statistical learning might take us in explaining the full complexity of human language. (shrink)

In this chapter we use methods of corpus linguistics to investigate the ways in which mathematicians describe their work as explanatory in their research papers. We analyse use of the words explain/explanation (and various related words and expressions) in a large corpus of texts containing research papers in mathematics and in physical sciences, comparing this with their use in corpora of general, day-to-day English. We find that although mathematicians do use this family of words, such use is considerably less prevalent (...) in mathematics papers than in physics papers or in general English. Furthermore, we find that the proportion with which mathematicians use expressions related to ‘explaining why’ and ‘explaining how’ is significantly different to the equivalent proportion in physics and in general English. We discuss possible accounts for these differences. (shrink)

Topics in Cognitive Science, Volume 14, Issue 3, Page 634-645, July 2022.

Despite growing interest in workplace democracy, the question whether nonworker stakeholders, like suppliers and local communities, warrant inclusion in the governance of democratic companies, as workers do, has been largely neglected. We inspect this question by leaning on the boundary problem in democratic theory. We first argue that the question of who warrants inclusion in democratic workplaces is best addressed by examining why workplace democracy is warranted in the first place, and offer a twofold normative benchmark—addressing objectionable corporate power and (...) upholding efficiency—to assess the principles of democratic inclusion on offer. Against this benchmark, we next argue that the All-Affected Principle is unfit due to its over- and underinclusive extensional results, and that the All-Subjected Principle, whose variants we examine alongside their extensional results, holds more promise when coupled with independent considerations of justice or a constrained variant of the All-Affected Principle. These combinations need not entirely preclude, but speak against, nonworker stakeholder inclusion. (shrink)