Le réalisme scientifique occupe une place centrale dans le système philosophique de Mario Bunge. Au cœur de cette thèse, on trouve l’affirmation selon laquelle nous pouvons connaître le monde partiellement. Il s’ensuit que les théories scientifiques ne sont pas totalement vraies ou totalement fausses, mais plutôt partiellement vraies et partiellement fausses. Ces énoncés sur la connaissance scientifique, à première vue plausible pour quiconque est familier avec la pratique scientifique, demandent néanmoins à être clarifiés, précisés et, ultimement, à être inclus dans (...) un cadre théorique plus large et rigoureux. Depuis ses toutes premières publications sur ces questions et jusqu’à récemment, Mario Bunge n’a cessé d’interpeller les philosophes afin qu’ils développent une théorie, au sens propre du terme, de la vérité partielle afin de clarifier les enjeux épistémologiques liés au réalisme scientifique. Bunge a lui-même proposé plusieurs parties de cette théorie au fil des années, mais aucune de ces propositions ne l’a satisfait pleinement et la construction de cette théorie demeure un problème entier. Dans ce texte, nous passerons rapidement en revue certaines des approches proposées par Bunge dans ses publications et nous esquisserons certaines pistes qui devraient servir à tout le moins de desiderata pour la construction d’une théorie de la vérité partielle. (shrink)

The standard view of "believes" and other propositional attitude verbs is that such verbs express relations between agents and propositions. A sentence of the form “S believes that p” is true just in case S stands in the belief-relation to the proposition that p; this proposition is the referent of the complement clause "that p." On this view, we would expect the clausal complements of propositional attitude verbs to be freely intersubstitutable with their corresponding proposition descriptions—e.g., "the proposition that p"—as (...) they are in the case of "believes." In many cases, however, intersubstitution of that-clauses and proposition descriptions fails to preserve truth value or even grammaticality. These substitution failures lead some philosophers to reject the standard view of propositional attitude reports. Others conclude that propositional attitude verbs are systematically ambiguous. I reject both these views. On my view, the that-clause complements of propositional attitude verbs denote propositions, but proposition descriptions do not. (shrink)

The terms ‘compatibilism’ and ‘incompatibilism’ were introduced in the mid-20th century to name conflicting views about the logical relationship between the thesis of determinism and the thesis that someone has free will. These technical terms were originally introduced within a specific research paradigm, the classical analytic paradigm. This paradigm is now in its final stages of degeneration and few free-will theorists still work within it (i.e. using its methods, granting its substantive background assumptions, etc.). This chapter discusses how the ambiguity (...) of the terms ‘incompatibilism’ and ‘compatibilism’ took root as the classical analytic paradigm declined and why this matters to the contemporary debate. Among other things, I explain why the ambiguity of these anachronistic terms, though relatively innocuous when they were first introduced, is now encouraging theorists to tolerate and perpetuate serious philosophical errors (e.g. to conflate relations as different in kind and importance as correlation and causation, to promote uncontentiously invalid arguments, and to equivocate in ways that keep the free-will debate mired in pseudo-stalemates). I also suggest a new framework for anyone looking for relief from the confusion and deadlock created by quixotic attempts to redefine classical narratives and jargon so that they adequately describe the dialectical contours of the contemporary free-will debate. In addition, this new framework allows philosophers to start cross-pollinating work on free will and other problems, e.g. the paradox of moral luck. -/- A selection from the publication is available to download here. For full version, please gmail me, username: kristin.mickelson.42 -/- . (shrink)

This paper explores the idea of robust discursive equality on which respect-based conceptions of justificatory reciprocity often draw. I distinguish between formal and substantive discursive equality and argue that if justificatory reciprocity requires that people be accorded formally equal discursive standing, robust discursive equality should not be construed as requiring standing that is equal substantively, or in terms of its discursive purchase. Still, robust discursive equality is purchase sensitive: it does not obtain when discursive standing is impermissibly unequal in purchase. (...) I then showcase different candidate conceptions of purchase justice, and draw conclusions about the substantive commitments of justificatory reciprocity. (shrink)

This paper argues for a conception of the natural rights of non-human animals grounded in Kant’s explanation of the foundation of human rights. The rights in question are rights that are in the first instance held against humanity collectively speaking—against our species conceived as an organized body capable of collective action. The argument proceeds by first developing a similar case for the right of every human individual who is in need of aid to get it, and then showing why the (...) situation of animals is similar. I first review some of the reasons why people are resistant to the idea that animals might have rights. I then explain Kant’s conception of natural rights. I challenge the idea that duties of aid and duties of kindness to animals fit the traditional category of “imperfect duties” and argue that they are instead cases of “imperfect right.” I explain how you can hold a right against a group, and why it is legitimate to conceive of humanity as such a group. I then argue that Kant’s account of the foundation of property rights is grounded in a conception of the common possession of the Earth that grounds a right to aid and the rights of animals to be treated in ways that are consistent with their good. Finally, I return to the objections to the idea that animals have rights and offer some responses to them. (shrink)

We critique two popular philosophical definitions of intellectual humility: the “low concern for status” and the “limitations-owning.” accounts. Based upon our analysis, we offer an alternative working definition of intellectual humility: the virtue of accurately tracking what one could non-culpably take to be the positive epistemic status of one’s own beliefs. We regard this view of intellectual humility both as a virtuous mean between intellectual arrogance and diffidence and as having advantages over other recent conceptions of intellectual humility. After defending (...) this view, we sketch remaining questions and issues that may bear upon the psychological treatment of intellectual humility such as whether evidence will help determine how this construct relates to general social humility on the one hand, and intellectual traits such as open-mindedness, curiosity, and honesty on the other. (shrink)

In this paper, following the claims made by various mathematicians, I try to construct a theory of levels of abstraction. I first try to clarify the basic components of the abstract method as it developed in the first quarter of the 20th century. I then submit an explication of the notion of levels of abstraction. In the final section, I briefly explore some of main philosophical consequences of the theory.

In this paper, we argue that there are reasons to believe that an implicit bias for normalcy influences what are considered medically necessary treatments in psychiatry. First, we outline two prima facie reasons to suspect that this is the case. A bias for ‘the normal’ is already documented in disability studies; it is reasonable to suspect that it affects psychiatry too, since psychiatric patients, like disabled people, are often perceived as ‘weird’ by others. Secondly, psychiatry's explicitly endorsed values of well-being (...) and function are hard to measure directly, which is why we see simpler box-ticking conceptions of recovery used in large research studies. This need not be problematic, but might lead to researchers and clinicians focusing too much on treatments that promote easy-to-measure proxies for recovery, instead of what actually matters to psychiatric patients themselves. Next, we provide examples of treatments and treatment decisions within two areas – self-injury and psychosis – which are hard to explain unless we assume that an implicit and harmful normalcy bias is at work. We conclude with some suggestions for clinicians and future research. (shrink)

In recent years, educational institutions have started using the tools of commercial data analytics in higher education. By gathering information about students as they navigate campus information systems, learning analytics “uses analytic techniques to help target instructional, curricular, and support resources” to examine student learning behaviors and change students’ learning environments. As a result, the information educators and educational institutions have at their disposal is no longer demarcated by course content and assessments, and old boundaries between information used for assessment (...) and information about how students live and work are blurring. Our goal in this paper is to provide a systematic discussion of the ways in which privacy and learning analytics conflict and to provide a framework for understanding those conflicts. -/- We argue that there are five crucial issues about student privacy that we must address in order to ensure that whatever the laudable goals and gains of learning analytics, they are commensurate with respecting students’ privacy and associated rights, including (but not limited to) autonomy interests. First, we argue that we must distinguish among different entities with respect to whom students have, or lack, privacy. Second, we argue that we need clear criteria for what information may justifiably be collected in the name of learning analytics. Third, we need to address whether purported consequences of learning analytics (e.g., better learning outcomes) are justified and what the distributions of those consequences are. Fourth, we argue that regardless of how robust the benefits of learning analytics turn out to be, students have important autonomy interests in how information about them is collected. Finally, we argue that it is an open question whether the goods that justify higher education are advanced by learning analytics, or whether collection of information actually runs counter to those goods. (shrink)

This paper focuses on the research field of machine ethics and how it relates to a technological singularity—a hypothesized, futuristic event where artificial machines will have greater-than-human-level intelligence. One problem related to the singularity centers on the issue of whether human values and norms would survive such an event. To somehow ensure this, a number of artificial intelligence researchers have opted to focus on the development of artificial moral agents, which refers to machines capable of moral reasoning, judgment, and decision-making. (...) To date, different frameworks on how to arrive at these agents have been put forward. However, there seems to be no hard consensus as to which framework would likely yield a positive result. With the body of work that they have contributed in the study of moral agency, philosophers may contribute to the growing literature on artificial moral agency. While doing so, they could also think about how the said concept could affect other important philosophical concepts. (shrink)

The emerging field of the philosophy of dance, as suggested by Aili Bresnahan, increasingly recognizes the problem that (especially pre‐modern) dance has historically focused on bodily perfection, which privileges abled bodies as those that can best make and perform dance as art. One might expect that the philosophy of dance, given the critical and analytical powers of philosophy, might be helpful in illuminating and suggesting ameliorations for this tendency in dance. But this is particularly a difficult task since the analytic (...) philosophy of dance is too young to have achieved a comprehensive treatment of dance per se, let alone to update such a treatment in line with the demands of social justice. As a step in that direction, the present article (a) summarizes dance theorists on disabled dance (as opposed to the dance of the temporarily able‐bodied, or TAB) and then applies (b) the philosophy of art and dance to disability, (c) the philosophy of disability to dance, (d) interdisciplinary disability theory to dance, and (e) my own Figuration philosophy of dance to disability, as inspired in part by John Dewey. (shrink)

In this paper, I explore Bunge’s fictionism in philosophy of mathematics. After an overview of Bunge’s views, in particular his mathematical structuralism, I argue that the comparison between mathematical objects and fictions ultimately fails. I then sketch a different ontology for mathematics, based on Thomasson’s metaphysical work. I conclude that mathematics deserves its own ontology, and that, in the end, much work remains to be done to clarify the various forms of dependence that are involved in mathematical knowledge, in particular (...) its dependence on mental/brain states and material objects. (shrink)

Historically, the concept of androgyny has been as problematic as it has been appealing to Western progressives. The appeal clearly includes, inter alia, the opportunity to abandon or ameliorate certain identities. As for the problematic dimension, the central problem seems to be the reduction of otherness to the norms of straight white middle/upper-class Western cismen, particularly because of the consequent worsening of actual others’ marginalization and exclusion from social institutions. Despite these problems, I wish to suggest that androgyny—as evidenced by (...) the enthusiasm felt for it by many Westerners—bespeaks something larger and more important than the concept itself, and that modified conception of it might be helpful in pursuit of social justice. (shrink)

The aim of this paper is to clarify the role of category theory in the foundations of mathematics. There is a good deal of confusion surrounding this issue. A standard philosophical strategy in the face of a situation of this kind is to draw various distinctions and in this way show that the confusion rests on divergent conceptions of what the foundations of mathematics ought to be. This is the strategy adopted in the present paper. It is divided into 5 (...) sections. We first show that already in the set theoretical framework, there are different dimensions to the expression foundations of. We then explore these dimensions more thoroughly. After a very short discussion of the links between these dimensions, we move to some of the arguments presented for and against category theory in the foundational landscape. We end up on a more speculative note by examining the relationships between category theory and set theory. (shrink)

In this paper, I introduce the idea that some important parts of contemporary pure mathematics are moving away from what I call the extensional point of view. More specifically, these fields are based on criteria of identity that are not extensional. After presenting a few cases, I concentrate on homotopy theory where the situation is particularly clear. Moreover, homotopy types are arguably fundamental entities of geometry, thus of a large portion of mathematics, and potentially to all mathematics, at least according (...) to some speculative research programs. (shrink)

The three major classical accounts of the morality of abortion are all subject to at least one major problem. Can we do better? This article aims to discuss three accounts that purport to be superior to the classical accounts. First, it discusses the future of value argument for the immorality of abortion. It defends the claim that the future of value argument is superior to all three of the classical accounts. It then goes on to discuss Warren's attempt to fix (...) up her personhood account and David Boonin's attempt to fix up Tooley's desire account. Warren claims that her updated version of a personhood account is superior to any potentiality account, such as the future of value account. The article evaluates her claim. Boonin argues that his improved desire view both deals adequately with the apparent counterexamples to Tooley's original account and also is superior to the future of value account. The article evaluates his views as well. (shrink)

Fefermans argument is indeed convincing in a certain context, it can be dissolved entirely by modifying the context appropriately.

This article focuses on a particular issue under machine ethics—that is, the nature of Artificial Moral Agents. Machine ethics is a branch of artificial intelligence that looks into the moral status of artificial agents. Artificial moral agents, on the other hand, are artificial autonomous agents that possess moral value, as well as certain rights and responsibilities. This paper demonstrates that attempts to fully develop a theory that could possibly account for the nature of Artificial Moral Agents may consider certain philosophical (...) ideas, like the standard characterizations of agency, rational agency, moral agency, and artificial agency. At the very least, the said philosophical concepts may be treated as signposts for further research on how to truly account for the nature of Artificial Moral Agents. (shrink)

In spite of its everyday connotations, the term independence as republicans understand it is not a celebration of individualism or self-reliance but embodies an acknowledgement of the importance of personal and social relationships in people’s lives. It reflects our connectedness rather than separateness and is in this regard a relational ideal. Properly understood, independence is a useful concept in addressing a fundamental problem in social philosophy that has preoccupied theorists of relational autonomy, namely how to reconcile the idea of individual (...) human agency with the inevitable and necessary influence of other people, both directly and indirectly. I derive my account from the work of Mary Wollstonecraft and Catharine Macaulay, whose contributions have remained largely overlooked by current republican theorists. I have three purposes in this chapter. First, I set out the relational character of independence. Secondly, I outline a republican approach to the problem of structural social threats to agency. Finally, I hope to establish the basis for a fruitful dialogue between republicans and relational autonomy theorists on the requirements and dynamics of individual agency and freedom in oppressive social situations. I identify three distinctive features of the internal logic of freedom as independence that give it a relational character: it always locates the person within a community; there is a mediating role played by the notion of arbitrariness in connecting individual and collective perspectives; a causal relationship exists linking each person’s freedom as independence such that that the dependence of one class of persons jeopardizes the independence of the whole community. (shrink)

In this paper, we try to establish that some mathematical theories, like K-theory, homology, cohomology, homotopy theories, spectral sequences, modern Galois theory (in its various applications), representation theory and character theory, etc., should be thought of as (abstract) machines in the same way that there are (concrete) machines in the natural sciences. If this is correct, then many epistemological and ontological issues in the philosophy of mathematics are seen in a different light. We concentrate on one problem which immediately follows (...) the recognition of the particular status of these theories: the demarcation problem between ‘natural kinds’ and ‘artefacts’. (shrink)

In recent years there has been a surge of interest among Plato scholars in the tripartition of the soul in the Republic. Particular attention has been devoted to the nature of the soul-parts, and whether or not each part is agent-like. A key element in this debate has been the question whether or not the non-rational parts have access to significant cognitive and conceptual resources. That this is the case, and that appetite cannot be entirely unreasoning, is the widely accepted (...) view, shared by Annas, Bobonich, Cooper, and Irwin among others. A number of scholars – most notably Lorenz and Stalley – have recently criticized this reading of Plato’s tripartition, and argued that the text does not in fact support such a reading. I believe that the weight of evidence remains in favour of the mainstream view, despite the interesting objections raised by the critics. I argue that these critics fail to appreciate the variety of ways in which the non-rational parts employ cognitive and conceptual resources. I also explain that their alternative interpretations of the relevant passages are unconvincing. (shrink)

At the heart of Plato’s theory of erōs is the ‘ascent’ of love for an individual body, through several stages, to love of Beauty itself (Symposium 210a-212b). I argue that our understanding of the psychology of this transformation would benefit especially from bringing in Plato’s views on pain from the Republic. For erōs is presented in the Symposium as including sexual desire (207b) as well as love of wisdom (210d), but the Republic takes the former to be a painful desire, (...) whereas the latter is apparently treated as painless. The ‘ascent’ of love, then, seems to involve the transformation of a painful desire into a painless one. I conclude that this transformation is best understood as a rechanneling of desire within the tripartite soul. (shrink)

Translated into Turkish by Mustafa Yalçınkaya.

In this chapter: I distinguish the existential problem of divine hiddenness from the evidential problem of divine hiddenness. The former being primarily concerned with the apparent hiddenness of a personal God in the lives of believers amidst terrible suffering. The latter being primarily concerned with the apparent hiddenness of God being evidence against God’s existence. In the first section, I highlight the basic contours of the evidential problem of divine hiddenness, and suggested that the argument rests on two important assumptions: (...) the perfectly loving assumption and the no-fault assumption. In the second section, a few possible responses to the evidential problem of divine hiddenness were considered, which center on rejecting either the perfectly loving assumption or the no-fault assumption. (shrink)

This chapter aims to direct attention to the political dimension of the social media age. Although current events like the Cambridge Analytica data breach managed to raise awareness for the issue, the systematically organized and orchestrated mechanisms at play still remain oblivious to most. Next to dangerous monopoly-tendencies among the powerful players on the market, reliance on automated algorithms in dealing with content seems to enable large-scale manipulation that is applied for economical and political purposes alike. The successful replacement of (...) traditional parties by movements based on personality cults around marketable young faces like Emmanuel Macron or Austria’s Sebastian Kurz is strongly linked to products and services offered by an industry that simply provides likes and followers for cash. Inspired by Trump’s monopolization of the Twitter-channel, these new political acteurs use the potential of social media for effective message control, allowing them to avoid confrontations with professional journalists. In addition, an extremely active minority of organized agitators relies on the viral potential of the web to strongly influence and dictate public discourse – suggesting a shift from the Spiral of Silence to the dangerous illusion of a Nexus of Noise. (shrink)

To make out in what way Einstein’s manifold 1905 ‘annus mirabilis’ writings hang together one has to take into consideration Einstein’s strive for unity evinced in his persistent attempts to reconcile the basic research traditions of classical physics. Light quanta hypothesis and special theory of relativity turn out to be the contours of a more profound design, mere milestones of implementation of maxwellian electrodynamics, statistical mechanics and thermodynamics reconciliation programme. The conception of luminiferous ether was an insurmountable obstacle for Einstein’s (...) statistical thermodynamics in which the leading role was played by the light quanta paper. In his critical stand against the entrenched research traditions of classical physics Einstein was apparently influenced by David Hume and Ernst Mach. However, when related to creative momenta, Einstein’s 1905 unificationist modus operandi was drawn upon Mach’s principle of economy of thought taken in the context of his ‘instinctive knowledge’ doctrine and with promising inclinations of Kantian epistemology presuming the coincidence of both constructing theory and integrating intuition of Principle. (shrink)

Väitetään, että nykypäivän populismi vetoaa tosiasioiden sijasta ”kokemukseen”. Mutta mitä on kokemus? Se ei ole vain ennakkoluuloihin nojautuvaa mutua eikä myöskään pelkkää empiirisen datan rekisteröintiä mutta liittyy molempiin. Artikkelin luoma tiivis katsaus kokemuksen käsitehistorian pääpiirteisiin osoittaa, että länsimaisen filosofian perinteessä kokemus on ymmärretty ohittamattomana vaiheena tiedon hankkimisessa ja koettelemisessa. Toisaalta kokemukseen on liitetty tiettyjä tiedollisia heikkouksia – kontingenssi, tilannesidonnaisuus ja ennakoimattomuus – jotka tieteellinen metodi on eri tavoin pyrkinyt voittamaan. Artikkeli esittää, että 1900-luvun filosofinen hermeneutiikka irrottautuu tästä perinteisestä kokemuksen välineellistämisestä (...) ja alistamisesta korkeammille päämäärille ja keskittyy uudella ja hedelmällisellä tavalla juuri mainittuihin kokemuksen ”vaaroihin”. Hermeneuttisesti ymmärretty kokemus muodostuu äärellisen ihmisen ainutkertaisista kohtaamisista todellisuuden muuttuvan ja ehtymättömän mielekkyyden kanssa – omalle ymmärrykselle vieraan toiseuden ja samalla oman ymmärryksen äärellisyyden ja inhimillisen äärellisyyden kohtaamisesta. (shrink)

Why would a philosopher choose to convey his ideas in the form of Manga? This discussion between Masahiro Morioka, author of Manga Introduction to Philosophy, and the translator of its French edition, Pierre Bonneels, shows how philosopher and artist Morioka became acquainted, through images, with fundamental abstract notions. After a short historical analysis of the aesthetic advantages of Manga, consideration is given to this unique way of provoking thought. On this basis, theoretical aspects of “time” and the “I” proposed by (...) Ōmori Shōzō are compared with Morioka’s Manga presentation. Although the questions raised are universal, the authors note that the use of Japanese metaphors enables these two thinkers to draw on a concrete understanding of notions like temporality and identity. (shrink)

The Oxford English Dictionary explains that the word “consent” originally derives from the “Latin consentīre to feel together, agree, accord harmonize”, further broken down into “con- together + sentīre to feel, think, judge, etc.” Thus, consent is originally a matter of mutual activity and receptivity, specifically a co-creating co-creation based on shared, ongoing feeling. What this seems to imply – and this is certainly always been true in my experiences with social Latin dance – is that consent is not a (...) static thing, not an object or product that has been definitively produced and recorded. Instead, consent is an ongoing process, a reciprocating experiencing that is crucially both beyond one individual dancer, and also simultaneously active and receptive. Altogether, then, consent in social Latin dance emerges as a process of doing and undergoing together. Thus, if the connection of dancing consent is broken, for example if one partner shifts from the acting/receiving balance to a state of exclusive acting (with no receiving), then consent is no longer transpiring, which greatly increases the risk of unwanted touch beginning and continuing. Put simply, wanted touch is consensual touch, and consensual touch is touch that is supported by an ongoing activity and receptivity of consent. Wanted touch in dance is thus analogous to a “closed” electrical circuit. (In fact, at the cellular level of a dancer’s body this truth is literal rather than merely analogous, given the neurochemical dimension of the body’s activities). A closed circuit, in this technical sense, refers to a circuit in which there is no break in the path (for example between a device and an outlet), an unbrokenness that sustains a live current in the circuit. By contrast, unwanted touch in social Latin dance is like an open circuit, involving a break in the path between the partners, which entails the absence of the necessary current of consent. (shrink)

There are two issues I want to very briefly raise in response to Robin McKenna’s paper, “Epistemic Contextualism, Epistemic Relativism, and Disagreement.” First, I want to question whether or not the disagreement problem faced by indexical contextualism is truly a problem. Secondly, I want to consider whether or not McKenna’s solution is really in keeping with indexical contextualism.

This volume compiles international contributions that explore the potential risks and chances coming along with the wide-scale migration of society into digital space. Suggesting a shift of paradigm from Spiral of Silence to Nexus of Noise, the opening chapter provides an overview on systematic approaches and mechanisms of manipulation – ranging from populist political players to Cambridge Analytica. After a discussion of the the juxtaposition effects of social media use on social environments, the efficient instrumentalization of Twitter by Turkish politicans (...) in the course of the US-decision to recognize Jerusalem as Israel’s capital is being analyzed. Following a case study of Instagram, Black Lives Matter and racism is a research about the impact of online pornography on the academic performance of university students. Another chapter is pointing out the potential of online tools for the successful relaunch of shadow brands. The closing section of the book deals with the role of social media on the opinion formation about the Euromaidan movement during the Ukrainian revolution and offers a comparative study touching on Russian and Western depictions of political documentaries in the 2000s. (shrink)

Structuralism has recently moved center stage in philosophy of mathematics. One of the issues discussed is the underlying logic of mathematical structuralism. In this paper, I want to look at the dual question, namely the underlying structures of logic. Indeed, from a mathematical structuralist standpoint, it makes perfect sense to try to identify the abstract structures underlying logic. We claim that one answer to this question is provided by categorical logic. In fact, we claim that the latter can be seen—and (...) probably should be seen—as being a structuralist approach to logic and it is from this angle that categorical logic is best understood. (shrink)

In this paper I describe a novel application of contemplative techniques to software engineering with the goal of augmenting the intellectual capabilities of knowledge workers within the field in four areas: flexibility, attention, creativity, and trust. The augmentation of software engineers’ intellectual capabilities is proposed as a third complement to the traditional focus of methodologies on the process and environmental factors of the software development endeavor. I argue that these capabilities have been shown to be open to improvement through the (...) practices traditionally used in spiritual traditions, but now used increasingly in other fields of knowledge work, such as in the medical profession and the education field. Historically, the intellectual capabilities of software engineers have been treated as a given within any particular software development effort. This is argued to be an aspect ripe for inclusion within software development methodologies. (shrink)

Using Peirce as a guide, this paper explores the way in which light mediates finitude through the relational process of semiosis. Embodying the triadic logic of identity, difference and return, light creates space, time and matter. Attention is on simple bodily forms and the meta-physics of their relationality. The first section introduces the mathematical and metaphysical contours of Peirce’s approach. The second section motivates Peirce’s three categories as interwoven process. In the third section, Peirce’s formalism of the sign is presented (...) and applied to simple physical and biological bodies. (shrink)

In this paper, we look at Bourbaki’s work as a case study for the notion of mathematical style. We argue that indeed Bourbaki exemplifies a mathematical style, namely the structuralist style.

In The Birthright Lottery, Ayelet Shachar subjects the institution of birthright citizenship to close scrutiny by applying to citizenship the historical and philosophical critique of hereditary ownership built up over four centuries of liberal and democratic theory, and proposing compelling alternatives drawn from the theory of private law to the usual modes of conveyance of membership. Nonetheless, there are some difficulties with this critique. First, the analogy between entailed property and birthright citizenship is not as illustrative as Shachar intends it (...) to be; second, the mechanism of the birthright privilege levy is insufficient for addressing structural impediments to growth; and third, the principle of ius nexi, while an important corrective to currently dominant principles of nationality, will likely have effects both unnecessary and insufficient to correct the injustices that Shachar identifies. In the end, the most significant improvements in the lives of the neediest persons on the planet are more likely advanced through conventional arguments for the lowering of barriers to the circulation of goods, labor, and capital. This shift in attention from opening borders to extending citizenship risks being a distraction from more effective means of addressing the injustices associated with global inequality.Dans son livre The Birthright Lottery, Ayelet Shachar soumet l’institution de la citoyenneté par droit de naissance à un examen rigoureux, en appliquant à la citoyenneté la critique philosophique et historique de la propriété héritée construite pendant quatre siècles de théorie démocratique libérale, et en proposant aux modes habituels d’attribution de la citoyenneté une alternative séduisante tirée de la théorie du droit privé. Néanmoins, cette critique comporte certaines difficultés. Premièrement, l’analogie entre la transmission de la propriété par l’institution de la taille et la citoyenneté par droit de naissance n’est pas aussi éclairante que le soutient Shachar ; deuxièmement, le mécanisme de la taxe sur le privilège du droit de naissance est insuffisant pour s’attaquer aux obstacles structurels à la croissance ; et troisièmement, le principe du jus nexi, bien qu’on puisse le considérer comme un important correctif du principe de nationalité actuellement dominant, aura vraisemblablement des effets à la fois non nécessaires et insuffisants pour corriger les injustices que Shachar identifie. En fin de compte, les améliorations les plus significatives dans la vie des personnes les plus démunies de la planète sont vraisemblablement mieux défendues à l’aide des arguments conventionnels en faveur d’une baisse des barrières à la circulation des biens, du travail et du capital. Ce déplacement de l’attention de l’ouverture des frontières à l’extension de la citoyenneté risque de nous distraire des moyens plus efficaces de nous attaquer aux injustices associées à l’inégalité globale. (shrink)

One of the key features of modern mathematics is the adoption of the abstract method. Our goal in this paper is to propose an explication of that method that is rooted in the history of the subject.

In this paper, we argue that, contrary to the view held by most philosophers of mathematics, Bourbaki’s technical conception of mathematical structuralism is relevant to philosophy of mathematics. In fact, we believe that Bourbaki has captured the core of any mathematical structuralism.

Categorical foundations and set-theoretical foundations are sometimes presented as alternative foundational schemes. So far, the literature has mostly focused on the weaknesses of the categorical foundations. We want here to concentrate on what we take to be one of its strengths: the explicit identification of so-called canonical maps and their role in mathematics. Canonical maps play a central role in contemporary mathematics and although some are easily defined by set-theoretical tools, they all appear systematically in a categorical framework. The key (...) element here is the systematic nature of these maps in a categorical framework and I suggest that, from that point of view, one can see an architectonic of mathematics emerging clearly. Moreover, they force us to reconsider the nature of mathematical knowledge itself. Thus, to understand certain fundamental aspects of mathematics, category theory is necessary (at least, in the present state of mathematics). (shrink)