What is infinity? It's reading the last line of a book and imagining the rest. No, wait, it's the instruction manual for the machine that operates the sun and the stars. In unexpected observations, captivating images, and even some equations, celebrated Argentinian author-illustrator Pablo Bernasconi, finalist for the 2018 Hans Christian Andersen Award, offers up verses about what infinity could mean to all of us. Winner of the Grand Prize from the Asociación de Literatura Infantil y Juvenil de (...) la Argentina (ALIJA) in 2018, Infinity is a book children and adults alike will find endlessly fascinating. (shrink)

'I too was superfluous' -- 'Outside, in the world, among others' -- 'Hell is other people' -- 'He is playing at being a waiter in a café' -- 'In war there are no innocent victims' -- 'I am obliged to want others to have freedom' -- 'The authentic Jew makes himself a Jew' -- 'The eyes of the least favoured' -- 'A future more or less blocked off' -- 'Man is violent'.

The duality or separation of self and me is central to the thinking of Emmanuel Levinas, but it is difficult to understand, not least because of the powerful hold that John Locke’s account of personal identity still has on our thinking of the self. By drawing on Augustine and especially Jean-Luc Marion’s reading of Augustine in In the Self’s Place, it is possible to gain insight into Augustine’s not yet Lockean account of the self so as to arrive at Levinas’s (...) no longer Lockean account. (shrink)

The ?West? is inclined to blame Asian countries, especially China, for its disrespect of human rights without looking at it's own record of human rights violations! This makes a fair dialogue very difficult till improbable. Social work on the international level can't avoid this dialogue if it wants to live up to its internationally consensual documents which all refer to human rights. The thesis of this article is, that it will only succeed, if it clarifies some philosophical and ethical premisses (...) of so-called ?western? and ?oriental/asian? thinking. Thus, the article tries to show that concepts of ?holism?, ?atomism/individualism? and ?systemic thinking? might be helpful for a ?rejonder? and discussion platform for the analysis of different modes of thinking about ethical issues. A systemic approach tries to avoid the problematic and combine the positive aspects of individualistic and holistic approaches. An example for this combination is the ?Asian Human Rights Charter: A People's Charter? of 1998 which doesn't divide the freedom and participatory versus social rights, a divide which is typical ? and problematic ? for the western version. (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)

RésuméAu cœur de la théorie de Sophia Moreau sur la discrimination répréhensible réside le devoir moral de traiter les autres comme des êtres égaux. Cet essai soulève quelques questions sur les contours de ce devoir et suggère des moyens de renforcer la théorie. En particulier, il suggère d'intégrer une vision cosmopolite de la portée de ce devoir, d’éclairer les caractéristiques à la base du statut moral égal des personnes afin d'en identifier les fondements, ainsi que d'identifier certaines considérations relatives à (...) des intérêts d'importance afin d'en préciser le contenu. La relation entre la théorie de Moreau et le discours sur les droits humains est également brièvement examinée, et une discussion plus approfondie de ce dernier est recommandée. (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)

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)

“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 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)

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)

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.

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)

Michel Janssen and Harvey Brown have driven a prominent recent debate concerning the direction of an alleged arrow of explanation between Minkowski spacetime and Lorentz invariance of dynamical laws in special relativity. In this article, I critically assess this controversy with the aim of clarifying the explanatory foundations of the theory. First, I show that two assumptions shared by the parties—that the dispute is independent of issues concerning spacetime ontology, and that there is an urgent need for a constructive interpretation (...) of special relativity—are problematic and negatively affect the debate. Second, I argue that the whole discussion relies on a misleading conception of the link between Minkowski spacetime structure and Lorentz invari-ance, a misconception that in turn sheds more shadows than light on our understand-ing of the explanatory nature and power of Einstein’s theory. I state that the arrow connecting Lorentz invariance and Minkowski spacetime is not explanatory and uni-directional, but analytic and bidirectional, and that this analytic arrow grounds the chronogeometric explanations of physical phenomena that special relativity offers. (shrink)

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 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)

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)

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)

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

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.

Se propone un examen crítico de la última obra de J.-L. Marion titulada, dedicada a la unión de alma y cuerpo, y cuya tesis principal es: los problemas que esta unión suscita confunden dos términos, cuerpo y mi cuerpo. Esta confusión lleva a que se apliquen al primero categorías propias del segundo. Se examinan las "paradojas ónticas" que mi cuerpo (la carne) inaugura (a); se despeja la tesis de dos interpretaciones de las meditaciones primera y sexta (b); se discute la (...) "excepción a la metafísica" instaurada por el conocimiento de mi cuerpo (c); se arriesga, siguiendo una indicación del autor, la apertura a una dimensión ética que exige examinar ya no la unión de cuerpo y alma, sino la unión por el amor a un semejante y a la comunidad de semejantes (d). -/- The article carries out a critical examination of J.-L. Marion's latest work, "Sur la pensée passive de Descartes", whose main thesis is that the problems posed by the union of body and soul confuse two terms: body and my body. This confusion leads to the application to the former of categories inherent to the latter. The paper examines the "ontic paradoxes" that my body (the flesh) gives rise to (a); it clarifies the thesis of two interpretations of the First and Sixth Meditations (b); it discusses the "exception to metaphysics" established by the knowledge of my body (c); and, following an indication by the author, it proposes an opening to the ethical dimension, which demands an examination of the union, through love, with a fellow human being and with the community of human beings, rather than of the union of body and soul (d). -/- Neste artigo, propõe-se um exame crítico da última obra de J.-L. Marion, intitulada "Sur la pensée passive de Descartes", dedicada à união de alma e corpo, e cuja tese principal é: os problemas que essa união suscita confundem dois termos, corpo e meu corpo. Essa confusão leva a que se apliquem ao primeiro categorias próprias do segundo. Examinam-se os "paradoxos ônticos" que meu corpo (a carne) inaugura; a tese de duas interpretações das medita ccedil;ões primeira e sexta é esclarecida; arrisca-se, seguindo uma indicação do autor, a abertura a uma dimensão ética que exige examinar já não a união de corpo e alma, mas sim a união pelo amor a um semelhante e à comunidade de semelhantes. (shrink)

What is at stake in identifying some actions or speech acts as racist as opposed to regarding them as “merely” xenophobic? If we understand racism as a system, how does this impact the way we address the distinction between the terms racism and xenophobia? My attempt to address these questions is guided by two observations drawn from the genealogy of the term racism. First, in the English language, the word was initially a synonym for Nazi anti-Semitism. The strategies to combat (...) racism developed by UNESCO under the influence of Ashley Montagu and other followers of Franz Boas were set by the idea that what had to be opposed was primarily a biologically based racial ideology. However, the attempt to apply this model to the United States was problematized by Oliver Cromwell Cox already in the early 1940s, just as the application of this model to colonialism was opposed by Sartre and Fanon. Secondly, whereas race prejudice had at one time been thought of as natural, as xenophobia still tends to be today, what is called racism in English was from the outset thought of as acquired and blameworthy. As a result of this and other differences, the strategies needed to address racism and xenophobia are fundamentally different. (shrink)

When we speak about different interpretations of quantum mechanics it is suggested that there is one single quantum theory that can be interpreted in different ways. However, after an explicit characterization of what it is to interpret quantum mechanics, the right diagnosis is that we have a case of predictively equivalent rival theories. I extract some lessons regarding the resulting underdetermination of theory choice. Issues about theoretical identity, theoretical and methodological pluralism, and the prospects for a realist stance towards quantum (...) theory can be properly addressed once we recognize that interpretations of quantum mechanics are rival theories. (shrink)

A partir da pergunta que dá título a este artigo, pretendemos posicionar o pensamento de Michel Foucault em relação ao materialismo através de uma análise que contemple as três fases de seu pensamento, a saber, a arqueologia, a genealogia e a ética. Mediante esta análise, concluímos não só pela filiação do pensamento de Michel Foucault no campo mais amplo e plural dos materialismos, mas também pela radicalidade que o filósofo assume em relação ao materialismo em todas as fases de seu (...) pensamento. Do ponto de vista da arqueologia, argumentamos que a tomada do discurso não em seu caráter representativo, significativo ou teleológico, mas na concretude e singularidade de seu aparecimento, reforça de forma significativa o materialismo; em relação à genealogia, mostramos como a microfísica do poder, ao voltar-se contra os efeitos de hegemonia que produzem a abstração dos Grandes Conceitos e das Grandes Coisas, revelam a materialidade de um jogo de forças sujeitado pelas formas oficiais do saber e do poder; por fim, do ponto de vista da ética, esclarecemos que o âmbito da análise da relação de si consigo não consiste no domínio da interioridade, refúgio último do imaterialismo, mas justamente no âmbito da produção de subjetividade determinada por uma relação com a exterioridade, a alteridade e o fora. Dessa forma, consideramos a noção de Materialismo Radical pertinente para compreendermos, de forma mais rigorosa, tanto certas características próprias ao pensamento de Michel Foucault, quanto sua indubitável filiação ao materialismo. (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)

According to a popular narrative, in 1932 von Neumann introduced a theorem that intended to be a proof of the impossibility of hidden variables in quantum mechanics. However, the narrative goes, Bell later spotted a flaw that allegedly shows its irrelevance. Bell’s widely accepted criticism has been challenged by Bub and Dieks: they claim that the proof shows that viable hidden variables theories cannot be theories in Hilbert space. Bub’s and Dieks’ reassessment has been in turn challenged by Mermin and (...) Schack. Hereby I critically assess their reply, with the aim of bringing further clarification concerning the meaning, scope and relevance of von Neumann’s theorem. I show that despite Mermin and Schack’s response, Bub’s and Dieks’ reassessment is quite correct, and that this reading gets strongly reinforced when we carefully consider the connection between von Neumann’s proof and Gleason’s theorem. (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.

It is a widespread belief that the Kochen-Specker theorem imposes a contextuality constraint on the ontology of beables in quantum hidden variables theories. On the other hand, after Bell’s influential critique, the importance of von Neumann’s wrongly called ‘impossibility proof’ has been severely questioned. However, Max Jammer, Jeffrey Bub and Dennis Dieks have proposed insightful reassessments of von Neumann’s theorem: what it really shows is that hidden variables theories cannot represent their beables by means of Hermitian operators in Hilbert space. (...) Hereby I show that i) the very same constraint can be derived from Gleason’s theorem, and that ii) if we consider the import of von Neumann’s and Gleason’s theorems, the relevance of the Kochen-Specker theorem for hidden variables theories gets substantially weakened: it does not force them to be contextual in any interesting sense of the term. (shrink)

Heidegger already recognized in the 1920s the difficulties facing a phenomenology of religion, but the problems are greatly multiplied once one recognizes that many of the so-called religions were constituted as such only in the late eighteenth and early nineteenth centuries and that the "invention" of these religions was according to an idea of religion shaped by Christianity. By investigating the incompatible attempts of Kant and Hegel to negotiate that idea, I identify the genealogy of the double bind whereby today (...) it appears that one is faced with a choice between two violences: the violence of imposing the word religion on practices that do not readily follow the model of the Christian religion and the violence of refusing the word to non-Christian religions. (shrink)

A genealogy of the English word racism shows that its dominant sense was shaped by Franz Boas, Ruth Benedict, and Ashley Montagu around 1940 in order to establish a broad consensus against a narrow form of antisemitism found among some anthropologists in Nazi Germany. Their strategy, which was to challenge the biological concept of race on which racism, on their account, was said to be parasitic was subsequently adopted by UNESCO in 1950 and is still advocated by many today. But (...) this approach was not formulated to address anti-black racism. The limitations of this strategy were quickly exposed by black thinkers such as Oliver Cromwell Cox and Frantz Fanon. They understood that the problem was a form of systemic racism that could not be separated from the economic inequalities produced by slavery and colonialism. It could not be reduced to a system of thought open to scientific refutation: the problem had been misdiagnosed from the outset. (shrink)

Nietzsche understands that the world unfolds as a will to power. If we want to properly understand this cosmological perspective, we must start by attributing immanent activity not only to organisms, but also to beings called “inorganic”. With this in mind, in this article we examine, in an “ascending” way, the features of the vital becoming in both strata, that is, from the minerals, with their attractions and repulsions, until reaching the man himself and his conscious operations. All the problems (...) involved in this monistic perspective are approached from argumentations that are based on Nietzsche’s readings. Strauss, Dubois Reymond, Herzen, Spencer, Lange, Delfœuf, are some of the cited sources that allow this writing to give an account of how Nietzsche makes life prevail, beyond being, as the primordial phenomenon in all orders. (shrink)

In 1991 Larry Laudan and Jarret Leplin proposed a solution for the problem of empirical equivalence and the empirical underdetermination that is often thought to result from it. In this paper we argue that, even though Laudan and Leplin’s reasoning is essentially correct, their solution should be accurately assessed in order to appreciate its nature and scope. Indeed, Laudan and Leplin’s analysis does not succeed in completely removing the problem or, as they put it, in refuting the thesis of underdetermination (...) as a consequence of empirical equivalence. Instead, what they show is merely that science possesses tools that may eventually lead out of an underdetermination impasse. We apply their argument to a real case of two empirically equivalent theories: Lorentz’s ether theory and Einstein’s special relativity. This example illustrates the validity of Laudan and Leplin’s reasoning, but also shows the importance of the reassessment we argue for. (shrink)

In this paper I argue that the case of Einstein׳s special relativity vs. Hendrik Lorentz׳s ether theory can be decided in terms of empirical evidence, in spite of the predictive equivalence between the theories. In the historical and philosophical literature this case has been typically addressed focusing on non-empirical features. I claim that non-empirical features are not enough to provide a fully objective and uniquely determined choice in instances of empirical equivalence. However, I argue that if we consider arguments proposed (...) by Richard Boyd, and by Larry Laudan and Jarret Leplin, a choice based on non-entailed empirical evidence favoring Einstein׳s theory can be made. (shrink)