This paper investigates the question of how we manage to single out the natural number structure as the intended interpretation of our arithmetical language. Horsten submits that the reference of our arithmetical vocabulary is determined by our knowledge of some principles of arithmetic on the one hand, and by our computational abilities on the other. We argue against such a view and we submit an alternative answer. We single out the structure of natural numbers through our intuition of the absolute (...) notion of finiteness. (shrink)

This article intends to summarise the content of my book Insurgent Universality: An Alternative Legacy of Modernity and expand the meaning of the term ‘universality’. Universality is not defined in abstract legal terms or by juxtaposition vis-à-vis a common enemy. Instead, I clarify the meaning of a more concrete and open practice of universality through historical examples and theories that I excavate from social practices.

Building on dissatisfaction with current approaches that entail a superficial conception of the firm’s moral agency, this article has two broad theoretical underpinnings. First, it refers to the Catholic Social Thought’s view of the enterprise as a community of work, which leads to place stress on the possibility of creating ‘organizational humanizing cultures’ that revolve around the principles of human dignity and the common good and allow organizational members to flourish. Second, the article draws on the perspective of the sociologist (...) Philip Selznick to emphasize the key role of ‘institutional leadership’ in the formation and maintenance of a moral organizational character, also suggesting that these processes involve an influence on the development of employees’ moral identity conceived as a driver of moral agency. On these theoretical grounds, the article’s central argument is articulated by claiming that human resource management can provide essential support for the development of organizational humanizing cultures. In particular, it is highlighted how human resource management professionals may operate as institutional leaders who contribute to the embedding of moral identities in the organizational context. (shrink)

Synthetic biology aims to synthesize novel biological systems or redesign existing ones. The field has raised numerous philosophical questions, but most especially what is novel to this field. In this article I argue for a novel take, since the dominant ways to understand synthetic biology’s specificity each face problems. Inspired by the examination of the work of a number of chemists, I argue that synthetic biology differentiates itself by a new regime of articulation, i.e. a new way of articulating the (...) questions and phenomena it wants to address. Instead of describing actual existing biological systems, the field aims to describe biological possibilities. In the second part I corroborate this hypothesis through a comparison between early research in the field of the origins of life and contemporary synthetic biologists, who are not so much interested in the historical origin of life on Earth, but rather in a universal biology of the possible origins of any life whatsoever. (shrink)

Commonsense ontology often conflicts with the ontology of our best scientific and philosophical theories. However, commonsense ontology, and commonsense belief systems in general, seems to be remarkably efficient and cognitively fundamental. In cases of contrast, it is better to find a way to reconcile commonsense and ”theoretical” ontologies. Given that commonsense ontologies are typically expressed within natural language, a classical procedure of reconciliation is semantical. The strategy is that of individuating the ”ontologically problematic” expressions of natural language and paraphrasing the (...) sentences in which they appear in a (formal) language whose commitments are compatible with those of our best theories. We believe that this strategy of reconciliation, though quite standard, especially in the philosophical literature, is problematic: for a start, it forces us to conclude that the ”real content” of our commonsense expressions and beliefs is different from what it appears. Commonsense ontology becomes just an illusion. We will thus propose an alternative approach: according to our view, a commonsense ontology is reconciled with a theoretical ontology in case it is shown that the explanation of why we believe in the existence of a problematic entity is compatible with our best theories. We will call this kind of reconciliation ”epistemic”. The advantage of an epistemic reconciliation is that commonsense ontology is treated in its own right and could be taken prima facie. Another advantage of the view is that epistemic reconciliation can be analysed through the notion of explaining away: a commonsense ontology is epistemically reconciled with a theoretical ontology if and only if the problematic entities of the commonsense ontology are explained away by ”respectable” entities of the theoretical ontology. In the final part of the paper, we sketch a formal analysis of explaining away. (shrink)

The central claim of this article is that post-truth requires a political and socio-economical perspective, rather than a moral or epistemological one. The article consists of two parts. The first part offers a critical examination of the dominant analyses of post-truth in terms of shifting standards of the origin and the evaluation of facts. Moreover, the claim that postmodernism is the cause of post-truth is examined and refuted. In the second part an alternative perspective is developed, centring around the notion (...) of gatekeepers. Rather than linking post-truth to bullshit and postmodernism, it should be understood as a symptom of a contemporary shift in the gatekeepers of truth and knowledge. Knowledge and truth are always mediated in society through the hands of gatekeeping institutions such as journalism or science. Post-truth is a symptom of a broader transformation of the gatekeeping institutions of our current society. It therefore requires a political philosophy of these institutional shifts and the new risks they involve. (shrink)

Background Respect for human rights and bioethical principles in prisons is a crucial aspect of society and is proportional to the well-being of the general population. To date, these ethical principles have been lacking in prisons and prisoners are victims of abuse with strong repercussions on their physical and mental health. Methods A systematic review was performed, through a MESH of the following words (bioethics) AND (prison), (ethics) AND (prison), (bioethics) AND (jail), (ethics) AND (jail), (bioethics) AND (penitentiary), (ethics) AND (...) (penitentiary), (prison) AND (human rights). Inclusion and exclusion criteria were defined and after PRISMA, 17 articles were included in the systematic review. Results Of the 17 articles, most were prevalence studies (n.5) or surveys (n.4), followed by cross-sectional studies (n.3), qualitative studies (n.1), retrospective (n.1) and an explanatory sequential mixed-methods study design (n.1). In most cases, the studies associated bioethics with prisoners’ access to treatment for various pathologies such as vaccinations, tuberculosis, hepatitis, HIV, it was also found that bioethics in prisons was related to the mental health of prisoners, disability, ageing, the condition of women, the risk of suicide or with the request for end-of-life by prisoners. The results showed shortcomings in the system of maintaining bioethical principles and respect for human rights. Conclusions Prisoners, in fact, find it difficult to access care, and have an increased risk of suicide and disability. Furthermore, they are often used as improper organ donors and have constrained autonomy that also compromises their willingness to have end-of-life treatments. In conclusion, prison staff (doctors, nurses, warders, managers) must undergo continuous refresher courses to ensure compliance with ethical principles and human rights in prisons. (shrink)

Massimiliano Simons provides the first systematic study of Serres' work in the context of late 20th-century French philosophy of science. By proposing new readings of Serres' philosophy, Simons creates a synthesis between his predecessors, Gaston Bachelard, Georges Canguilhem, and Louis Althusser as well as contemporary Francophone philosophers of science such as Bruno Latour and Isabelle Stengers. Simons situates Serres' unique contribution through his notion of the quasi-object, a concept, he argues, organizes great parts of Serres' work into a promising (...) philosophy of science as well as a challenge to the narrower field of French epistemology, to which it has often been limited. Simons highlights how the concept encompasses Serres' commitment to positive relations between science and culture and his rejection of pleas to purify the scientific self from imaginative and cultural elements. It helps to situate Serres between the distinct traditions of Bachelard and Latour as well as progressing the innovative aspects of Serres' philosophy for current debates in the philosophy, history, and sociology of science. Showing how Serres' philosophy can serve as a normative approach to science and technology, Michel Serres and French Philosophy of Science takes in themes of materiality, religiosity, modernity and ecology to advance a timely alternative to philosophy of science for contemporary life. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:About and Beyond Comorbidity:Does the Crisis of the DSM Bring on a Radical Rethinking of Descriptive Psychopathology?Massimiliano Aragona (bio)Keywordscomorbidity, nosography, phenomenology, philosophy of scienceThe problem of psychiatric comorbidity is part of a series of difficulties of the current diagnostic system which at once were considered as a consequence of the way the system itself is organized (Aragona 2006). It was then believed that a Kuhnian reformulation of the (...) contemporary debate on the problems of the psychiatric diagnosis was very useful because it allowed clarification in a comprehensive picture of the many rivulets of conceptual research in that field.In their comments Zachar (2009) and Banzato (2009) seem to agree with my analysis of psychiatric comorbidity (Aragona 2009a) when it stresses that abnormally high frequencies of co-occurrence are to be explained, in important respects, as a consequence of the way mental disorders are operationalized in the Diagnostic and Statistical Manual of Mental Disorders (DSM; also showing the importance of conceptual clarification to deal with this sort of only apparently pure factual problems). On the contrary, they are both unconvinced of the appropriateness and/or fruitfulness of the use of the Kuhnian technical terms and theory in this context.It could be said that the major aim of the paper was to let clinicians understand the effect of conceptual decisions on what would otherwise seem as a simple empirical finding (in this case, high levels of comorbidity), and that this result seems to be achieved in any case, thus minimizing the importance of a disagreement about the philosophical terms as a pure terminological dispute. Nevertheless, in my work the Kuhnian model had a significant role in the clarification of this matter and it also suggests to the reader a range of possible consequences that are not trivial (Zachar, for example, says to be skeptical about the possibility of a crisis and also about the possibility that a new paradigm could eliminate what I call the [End Page 29] comorbidity anomaly). As a consequence, some of the Kuhnian concepts that seemed to be at odds in this context have to be considered in detail to justify my analysis and its consequences. For reasons of space, I avoid a point-by-point reply to all the comments and I concentrate my discussion on three main points. First, I discuss the background of Kuhn's definition of terms such as anomaly and paradigm, as well as my own reasons for using them. In doing so the details of the psychiatric items under study that I wanted to highlight through the use of these philosophical concepts should emerge more clearly. Second, I discuss the problem of having distinguished between artifactual and real comorbidity. Third, I reconsider some of these problems, looking for their implications for future psychopathological research.Anomalies and ParadigmsBanzato (2009) stresses that comorbidity cannot be a truly Kuhnian anomaly because it is an anticipated side effect of the initial setup of the DSM, and not some unexpected discovery that violates the paradigm-induced expectation. This is a basically correct account of the most known version of Kuhnian anomalies; that is, the tale of some evident nature's failure to conform to clear paradigm expectations, which immediately forces researchers to recognize its importance as a possible source of crisis. However, as is the case for many other Kuhnian terms, he discussed anomalies in several scripts and there are other possible versions of its meaning. In particular, Kuhn (1977, XVII) highlighted that only in very rare cases are anomalies completely unexpected and come out of blue to announce an imminent crisis that leads to a large revolution. More frequently, scientific revolutions are much more smaller, like the discovery of oxygen, and in these cases the process is so gradual that historians find it difficult to say exactly when a discovery was made and who did it. Even in these much smaller cases the usual prelude to changes of this sort is the awareness of anomaly, but here anomalies are not extraordinary events; rather, they are "countless discrepancies between theory and experiment [that] during the course of his career, every natural scientist again and again notices and passes by" (Kuhn... (shrink)

This article argues that historical epistemology offers the history of philosophy and science more than a mere tool to write the history of concepts. It does this, first of all, by rereading historical epistemology through Michel Foucault's “techniques of the self.” Second, it turns to the work of Léon Brunschvicg and Gaston Bachelard. In their work we see a proposal for what the subjectivity of scientists and philosophers should be. The article thus argues that their work is driven by a (...) normative psychology: a set of prescriptions for which mental constitution a scholarly self has to have. In the Conclusion, it returns to existing analyses of “open‐mindedness” as a virtue and explores in what way these cases challenge these analyses, as well as to what extent Foucault's “techniques of the self” can be applied to other cases in the history of French philosophy. (shrink)

In this short paper we consider Linnebo's thin/thick dichotomy: first, we show that it does not overlap with the very common one between abstract/concrete objects; second, on the basis of some difficulties with the distinction, we propose, as a possible way out, to move from thin/thick objects to thin/thick concepts.

According to the so-called strong variant of Composition as Identity (CAI), the Principle of Indiscernibility of Identicals can be extended to composition, by resorting to broadly Fregean relativizations of cardinality ascriptions. In this paper we analyze various ways in which this relativization could be achieved. According to one broad variety of relativization, cardinality ascriptions are about objects, while concepts occupy an additional argument place. It should be possible to paraphrase the cardinality ascriptions in plural logic and, as a consequence, relative (...) counting requires the relativization either of quantifiers, or of identity, or of the is one of relation. However, some of these relativizations do not deliver the expected results, and others rely on problematic assumptions. In another broad variety of relativization, cardinality ascriptions are about concepts or sets. The most promising development of this approach is prima facie connected with a violation of the so-called Coreferentiality Constraint, according to which an identity statement is true only if its terms have the same referent. Moreover - even provided that the problem with coreferentiality can be fixed - the resulting analysis of cardinality ascriptions meets several difficulties. (shrink)

This paper motivates the idea that social robots should be credited as moral patients, building on an argumentative approach that combines virtue ethics and social recognition theory. Our proposal answers the call for a nuanced ethical evaluation of human-robot interaction that does justice to both the robustness of the social responses solicited in humans by robots and the fact that robots are designed to be used as instruments. On the one hand, we acknowledge that the instrumental nature of robots and (...) their unsophisticated social capabilities prevent any attribution of rights to robots, which are devoid of intrinsic moral dignity and personal status. On the other hand, we argue that another form of moral consideration—not based on rights attribution—can and must be granted to robots. The reason is that relationships with robots offer to the human agents important opportunities to cultivate both vices and virtues, like social interaction with other human beings. Our argument appeals to social recognition to explain why social robots, unlike other technological artifacts, are capable of establishing with their human users quasi-social relationships as pseudo-persons. This recognition dynamic justifies seeing robots as worthy of moral consideration from a virtue ethical standpoint as it predicts the pre-reflective formation of persistent affective dispositions and behavioral habits that are capable of corrupting the human user’s character. We conclude by drawing attention to a potential paradox drawn forth by our analysis and by examining the main conceptual conundrums that our approach has to face. (shrink)

This paper proposes a new dialetheic logic, a Dialetheic Logic with Exclusive Assumptions and Conclusions ), including classical logic as a particular case. In \, exclusivity is expressed via the speech acts of assuming and concluding. In the paper we adopt the semantics of the logic of paradox extended with a generalized notion of model and we modify its proof theory by refining the notions of assumption and conclusion. The paper starts with an explanation of the adopted philosophical perspective, then (...) we propose our \ logic. Finally, we show how \ supports the dialetheic solution of the liar paradox. (shrink)

It is often claimed that epistemic bubbles and echo chambers foster post-truth by filtering our access to information and manipulating our epistemic attitude. In this paper, I try to add a further level of analysis by adding the issue of belief formation. Building on cognitive psychology work, I argue for a dual-system theory according to which beliefs derive from a default system and a critical system. One produces beliefs in a quasi-automatic, effortless way, the other in a slow, effortful way. (...) I also argue that digital socio-epistemic environments tend to inculcate disvalues in their agent's epistemic identity, a process that causes the cognitive shortcircuits typical of conspiracy theories. (shrink)

According to strong composition as identity, the logical principles of one–one and plural identity can and should be extended to the relation between a whole and its parts. Otherwise, composition would not be legitimately regarded as an identity relation. In particular, several defenders of strong CAI have attempted to extend Leibniz’s Law to composition. However, much less attention has been paid to another, not less important feature of standard identity: a standard identity statement is true iff its terms are coreferential. (...) We contend that, if coreferentiality is dropped, indiscernibility is no help in making composition a genuine identity relation. To this aim, we analyse as a case study Cotnoir’s theory of general identity, in which indiscernibility is obtained thanks to a revisionary semantics and true identity statements are allowed to connect non-coreferential terms. We extend Cotnoir’s strategy for indiscernibility to the relation of comaternity, and we show that, neither in the case of composition nor in that of comaternity, indiscernibility contibutes to show that they are genuine identity relations. Finally, we compare Cotnoir’s approach with other versions of strong CAI endorsed by Wallace, Bøhn, and Hovda, and canvass the extent to which they violate coreferentiality. The comparative analysis shows that, in order to preserve coreferentiality, strong CAI is forced to adopt a non-standard semantic treatment of the singular/plural distinction. (shrink)

Are identity criteria grounding principles? A prima facie answer to this question is positive. Specifically, two-level identity criteria can be taken as principles related to issues of identity among objects of a given kind compared with objects of a more basic kind. Moreover, they are grounding metaphysical principles of some objects with regard to others. In the first part of the paper we criticise this prima facie natural reading of identity criteria. This result does not mean that identity criteria could (...) not be taken as grounding principles. In the second part, we propose some basic steps towards a conceptual reading of grounding. Such a way of understanding it goes along with an epistemic reading of identity criteria. (shrink)

The first systematic collaboration between cognitive scientists and sports psychologists considers the mind–body relationship from the perspective of athletic skill and sports practice. This landmark work is the first systematic collaboration between cognitive scientists and sports psychologists that considers the mind–body relationship from the perspective of athletic skill and sports practice. With twenty-six chapters by leading researchers, the book connects and integrates findings from fields that range from philosophy of mind to sociology of sports. The chapters show not only that (...) sports can tell scientists how the human mind works but also that the scientific study of the human mind can help athletes succeed. Sports psychology research has always focused on the themes, notions, and models of embodied cognition; embodied cognition, in turn, has found striking confirmation of its theoretical claims in the psychological accounts of sports performance and athletic skill. Athletic skill is a legitimate form of intelligence, involving cognitive faculties no less sophisticated and complex than those required by mathematical problem solving. After presenting the key concepts necessary for applying embodied cognition to sports psychology, the book discusses skill disruption ; sensorimotor skill acquisition and how training correlates to the development of cognitive faculties; the intersubjective and social dimension of sports skills, seen in team sports; sports practice in cultural and societal contexts; the notion of “affordance” and its significance for ecological psychology and embodied cognition theory; and the mind's predictive capabilities, which enable anticipation, creativity, improvisation, and imagination in sports performance. Contributors Ana Maria Abreu, Kenneth Aggerholm, Salvatore Maria Aglioti, Jesús Ilundáin-Agurruza, Duarte Araújo, Jürgen Beckmann, Kath Bicknell, Geoffrey P. Bingham, Jens E. Birch, Gunnar Breivik, Noel E. Brick, Massimiliano L. Cappuccio, Thomas H. Carr, Alberto Cei, Anthony Chemero, Wayne Christensen, Lincoln J. Colling, Cassie Comley, Keith Davids, Matt Dicks, Caren Diehl, Karl Erickson, Anna Esposito, Pedro Tiago Esteves, Mirko Farina, Giolo Fele, Denis Francesconi, Shaun Gallagher, Gowrishankar Ganesh, Raúl Sánchez-García, Rob Gray, Denise M. Hill, Daniel D. Hutto, Tsuyoshi Ikegami, Geir Jordet, Adam Kiefer, Michael Kirchhoff, Kevin Krein, Kenneth Liberman, Tadhg E. MacIntyre, Nelson Mauro Maldonato, David L. Mann, Richard S. W. Masters, Patrick McGivern, Doris McIlwain, Michele Merritt, Christopher Mesagno, Vegard Fusche Moe, Barbara Gail Montero, Aidan P. Moran, David Moreau, Hiroki Nakamoto, Alberto Oliverio, David Papineau, Gert-Jan Pepping, Miriam Reiner, Ian Renshaw, Michael A. Riley, Zuzanna Rucinska, Lawrence Shapiro, Paula Silva, Shannon Spaulding, John Sutton, Phillip D. Tomporowski, John Toner, Andrew D. Wilson, Audrey Yap, Qin Zhu, Christopher Madan. (shrink)

In ethical reflections on new technologies, a specific type of argument often pops up, which criticizes scientists for “playing God” with these new technological possibilities. The first part of this article is an examination of how these arguments have been interpreted in the literature. Subsequently, this article aims to reinterpret these arguments as symbolic arguments: they are grounded not so much in a set of ontological or empirical claims, but concern symbolic classificatory schemes that ground our value judgments in the (...) first place. Invoking symbolic arguments thus refers to how certain new technologies risk undermining our fundamental symbolic distinctions by which we organize and evaluate our interactions with the world and in society. Such symbolic distinctions, moreover, tend to be resilient against logical argumentation, mainly because they themselves form the basis on which we argue in the cultural and ethical sphere in the first place. Therefore, effective strategies to evaluate and counter these arguments require another approach, showing that these technologies either do not challenge these classifications or, if they do, how they can be accompanied by the proper actions to integrate these technologies into our society. (shrink)

This article examines how minimal genome research mobilizes philosophical concepts such as minimality and essentiality. Following a historical approach the article aims to uncover what function this terminology plays and which problems are raised by them. Specifically, four historical moments are examined, linked to the work of Harold J. Morowitz, Mitsuhiro Itaya, Eugene Koonin and Arcady Mushegian, and J. Craig Venter. What this survey shows is a historical shift away from historical questions about life or descriptive questions about specific organisms (...) towards questions that explore biological possibilities: what are possible forms of minimal genomes, regardless of whether they exist in nature? Moreover, it highlights a fundamental ambiguity at work in minimal genome research between a universality claim and a standardization claim: does a minimal genome refer to the minimal gene set for any organism whatsoever? Or does it refer rather to a gene set that will provide stable, robust and predictable behaviour, suited for biotechnological applications? Two diagnoses are proposed for this ambiguity: a philosophical diagnosis of how minimal genome research either misunderstands the ontology of biological entities or philosophically misarticulates scientific practice. Secondly, a historical diagnosis that suggests that this ambiguity is part of a broader shift towards technoscience. (shrink)

The essay starts from the singularization and temporalization of political concepts, that originate a self-representation of modernity as hierarchically superior to pre-modernity. Such self-representation, in Massimiliano Tomba’s words, must be now pluralized not only in relationship with the many extra-European temporalities, but also with the multiple temporal layers of European history. The author’s proposal of working on «time differentials», i.e. on the trajectories that turn from the dominant course of modern history, founded on Western emancipation, individual rights and modern (...) property relations, underlies that, in order to reconfigure the concept of modernity, it is necessary to reconfigure the concept of history itself. (shrink)

Vient ensuite une approche du style des philosophes dans son rapport à la construction même d'un système argumentatif autant qu'à divers modes d'expression : langage et littérarité donc, afin de sonder les voies de la création chez ...

Over the last decade, there has been a growing consensus, including in Italy, that it makes sense to provide an objectively measurable empirical basis for educational policies and practices in order to escape from the uncertainty of practices based on individual experience or subjective values. The quantification of the social sphere, the “metric society” (Mau, 2019), and data-driven models of governance have led not only to “learnification”, a culture of performativity and standardised testing as the dominant model (Biesta, 2010), but (...) also to a loss of future-oriented visions as these latter are overwhelmed by statistical models of anticipation. The main aim of this paper is to critique the post-positivist epistemological assumptions of so-called Evidence Based Education as well as the neoliberal organisational models whose indiscriminate application to professionals in education robs these roles of professionalism. Secondly, based on the recent UNESCO report on the “Futures of Education”, it intends to discuss the dimension of the future as a key direction of meaning for educational policies and practices, held up as an alternative to anticipatory governance models (Robertson, 2022). (shrink)

This study examines the implications of practical reason for entrepreneurial activities. Our study is based on Thomas Aquinas’ interpretation of such virtue, with a particular focus on the partition of practical reason in potential parts such as synesis, or common sense, and gnome, or perspicacity. Since entrepreneurial acts and actions deal with extremely uncertain situations, we argue that only this perspicacity, as the ability of correctly judging in exceptional cases, has the power to find wisdom under such blurred conditions. Perspicacity (...) frees entrepreneurs from their cognitive schemata rendering them able to be truly entrepreneurial. Based on this vision and thanks to a semantic analysis of the meaning of the Greek word gnome, we construct an interpretative model for entrepreneurial judgment composed of three dimensions, specifically, knowledge-cognitive, external-affective and personal-reflective. The model highlights how a ‘successful’ entrepreneurial judgment is also such from a holistic point of view. (shrink)

On the Cratylus dialogue, much has been written. However, is it possible to say that the beauty and the intelligence of that Platonic dialogue has been fully explained and justified? First of all, the Cratylus continues to be considered a work that is not fully successful artistically: its very long etimological review has yet to find an explanation that justifies, from a dramatic point of view, such an excessively prolix section. Secondly, the Cratylus is a dialogue that is doctrinally empty. (...) Plato seems to have dedicated an entire work to the issue of the theory of names, only to demonstrate in the end that considering such a question is not in fact useful to the understanding of the truth; to understand the truth, one must look not to language but to the things themselves. This article, other than indicating the status questionis regarding the Cratylus, suggests a new approach which will resolve both the issues raised above. It intends to demonstrate that to formulate an interpretation worthy of Plato from both the speculative and dramatic points of view, one must undertake an ontological and mystagogical reading of the Cratylus, an approach not yet made. The ontological reading complements the anti-ideological interpretations already developed by a number of scholars; the mystagogical reading is explicitly alternative to the esoteric interpretation of the dialogue proposed by Szlezák, the authoritative representative of the Tubingen School. (shrink)

Aim of the paper is to revise Boolos’ reinterpretation of second-order monadic logic in terms of plural quantification ([4], [5]) and expand it to full second order logic. Introducing the idealization of plural acts of choice, performed by a suitable team of agents, we will develop a notion of plural reference . Plural quantification will be then explained in terms of plural reference. As an application, we will sketch a structuralist reconstruction of second-order arithmetic based on the axiom of infinite (...) à la Dedekind, as the unique non-logical axiom. We will also sketch a virtual interpretation of the classical continuum involving no other infinite than a countable plurality of individuals. (shrink)