What is mathematics about? And if it is about some sort of mathematical reality, how can we have access to it? This is the problem raised by Plato, which still today is the subject of lively philosophical disputes. This book traces the history of the problem, from its origins to its contemporary treatment. It discusses the answers given by Aristotle, Proclus and Kant, through Frege's and Russell's versions of logicism, Hilbert's formalism, Gödel's platonism, up to the the current debate on (...) Benacerraf's dilemma and the indispensability argument. Through the considerations of themes in the philosophy of language, ontology, and the philosophy of science, the book aims at offering an historically-informed introduction to the philosophy of mathematics, approached through the lenses of its most fundamental problem. (shrink)

Social norms have played a key role in the evolution of human cooperation, serving to stabilize prosocial and egalitarian behavior despite the self-serving motives of individuals. Young children’s behavior mostly conforms to social norms, as they follow adult behavioral directives and instructions. But it turns out that even preschool children also actively enforce social norms on others, often using generic normative language to do so. This behavior is not easily explained by individualistic motives; it is more likely a result of (...) children’s growing identification with their cultural group, which leads to prosocial motives for preserving its ways of doing things. (shrink)

Proposition I.1 is, by far, the most popular example used to justify the thesis that many of Euclid’s geometric arguments are diagram-based. Many scholars have recently articulated this thesis in different ways and argued for it. My purpose is to reformulate it in a quite general way, by describing what I take to be the twofold role that diagrams play in Euclid’s plane geometry (EPG). Euclid’s arguments are object-dependent. They are about geometric objects. Hence, they cannot be diagram-based unless diagrams (...) are supposed to have an appropriate relation with these objects. I take this relation to be a quite peculiar sort of representation. Its peculiarity depends on the two following claims that I shall argue for: ( i ) The identity conditions of EPG objects are provided by the identity conditions of the diagrams that represent them; ( ii ) EPG objects inherit some properties and relations from these diagrams. (shrink)

The notion of schema has been given a major role by Recanati within his conception of primary pragmatic processes, conceived as a type of associative process. I intend to show that Recanati’s considerations on schemata may challenge the relevance theorist’s argument against associative explanations in pragmatics, and support an argument in favor of associative (versus inferential) explanations. More generally, associative relations can be shown to be schematic, that is, they have enough structure to license inferential effects without any appeal to (...) genuine inferential processes. Associative processes are thus able to explain a number of pragmatic and linguistic phenomena which have instead been thought to require specialized inferential processes. (shrink)

Embodiment and embeddedness define an attractive framework to the study of cognition. I discuss whether theory of mind, i.e. the ability to attribute mental states to others to predict and explain their behaviour, fits these two principles. In agreement with available evidence, embodied cognitive processes may underlie the earliest manifestations of social cognitive abilities such as infants’ selective behaviour in spontaneous-response false belief tasks. Instead, late theory-of-mind abilities, such as the capacity to pass the (elicited-response) false belief test at age (...) four, depend on children’s ability to explain people’s reasons to act in conversation with adults. Accordingly, rather than embodied, late theory-of-mind abilities are embedded in an external linguistic practice. (shrink)

This essay is concerned with concentrations of entities, which play an important—albeit often overlooked—role in scientific explanation. First, I discuss an example from molecular biology to show that concentrations can play an irreducible causal role. Second, I provide a preliminary philosophical analysis of this causal role, suggesting some implications for extant theories of causation. I conclude by introducing the concept of causation by concentration, a form of statistical causation whose widespread presence throughout the sciences has been unduly neglected and which (...) deserves to be studied in more depth. 1 Introduction2 Solving Lillie's Paradox: Lysogenic Induction in Phage λ3 Repressor Concentration and the Tuning of the Switch4 Concentration and Causality5 Preemption in Concentrations: Analysis and Implications6 Causation by Concentration: General Definition, Refinements, and Further Applications. (shrink)

This book fills a major gap in the ever-increasing secondary literature on Hannah Arendt's political thought by providing a dedicated and coherent treatment of the many, various and interesting things which Arendt had to say about law. Often obscured by more pressing or more controversial aspects of her work, Arendt nonetheless had interesting insights into Greek and Roman concepts of law, human rights, constitutional design, legislation, sovereignty, international tribunals, judicial review and much more. This book retrieves these aspects of her (...) legal philosophy for the attention of both Arendt scholars and lawyers alike. The book brings together lawyers as well as Arendt scholars drawn from a range of disciplines (philosophy, political science, international relations), who have engaged in an internal debate the dynamism of which is captured in print. Following the editors' introduction, the book is split into four Parts: Part I explores the concept of law in Arendt's thought; Part II explores legal aspects of Arendt's constitutional thought: first locating Arendt in the wider tradition of republican constitutionalism, before turning attention to the role of courts and the role of parliament in her constitutional design. In Part III Arendt's thought on international law is explored from a variety of perspectives, covering international institutions and international criminal law, as well as the theoretical foundations of international law. Part IV debates the foundations, content and meaning of Arendt's famous and influential claim that the 'right to have rights' is the one true human right. (shrink)

A spatial logic is a formal language interpreted over any class of structures featuring geometrical entities and relations, broadly construed. In the past decade, spatial logics have attracted much attention in response to developments in such diverse fields as Artificial Intelligence, Database Theory, Physics, and Philosophy. The aim of this handbook is to create, for the first time, a systematic account of the field of spatial logic. The book comprises a general introduction, followed by fourteen chapters by invited authors. Each (...) chapter provides a self-contained overview of its topic, describing the principal results obtained to date, explaining the methods used to obtain them, and listing the most important open problems. Jointly, these contributions constitute a comprehensive survey of this rapidly expanding subject. (shrink)

Abstract The aim of the paper is to reassess the role of British Aristotelianism within the history of early modern logic between the sixteenth and seventeenth centuries, as a crucial moment of cultural transition from the model of humanistic rhetoric and dialectic to that of facultative logic, that is, a logic which concerns the study of the cognitive powers of the mind. The paper shows that there is a special connection between Paduan Aristotelianism and British empiricism, through the mediation of (...) British Aristotelianism. British Aristotelians took the ideas of the Paduan Aristotelian tradition and carried them to an extreme, gradually removing them from the original Aristotelian context in which they were grounded and developing what would later become the fundamental ideas of British empiricism. (shrink)

The computer is one of the most complex artifacts ever built. Given its complexity, it can be described from many different points of view. The aim of this paper is to investigate the representational structure and multifunctionality of a particular subset of computers, namely personal devices from a user-centred perspective. The paper also discusses the concept of “cognitive task”, as recently employed in some definitions of cognitive artifacts, and investigates the metaphysical properties of such artifacts. From a representational point of (...) view, the article introduces the concepts of artifactual meta-representation and of semi-transparency, two features that personal devices share with some cognitive and non-cognitive artifacts. Recognising the meta-representational nature of personal devices and of other cognitive artifacts, thus overcoming semi-transparency, is important for the understanding of why different artifacts offer us different cognitive affordances as well as different cognitive advantages. In this sense, it is not simply a theoretical achievement, but has some important practical consequences. In our highly technological world we can use different kinds of computers and artifacts for solving the same tasks, and we need to understand why some artifacts are better suited for some tasks than others. The ultimate characterisation of personal devices that emerges from this work is that of a sort of super-artifact. This special status is given to personal devices because of their distinctive features. They are in fact intrinsically multifunctional and meta-representational artifacts, with extremely variable structures. As super-artifacts, personal devices are characterised by macro-functionality and can be easily used as both cognitive artifacts and tools for other functions, depending on the kind of representations they instantiate. (shrink)

According to a widely shared view, experience plays only a limited role in children's acquisition of the capacity to pass the false belief test: at most, it facilitates or attunes the development of mindreading abilities from infancy to early childhood. Against the facilitation—and also the maturation—hypothesis, I report empirical data attesting that children and even adults never come to understand false beliefs when deprived of proper social and linguistic interaction. In contrast to the attunement hypothesis, I argue that alleged mindreading (...) abilities in infancy differ significantly from those required to pass the false belief test at age four. I conclude that children's success in the false belief test reflects the acquisition of a novel psychological competence, and argue that social experience in the form of conversation about mental states teaches children to exploit belief reports to predict intelligent behaviour, and induces their acquisition of a capacity to recognize and track others' beliefs across contexts. (shrink)

I discuss three arguments that have been advanced in support of the epistemic mentalist view, i.e., the view that infants' social cognitive abilities manifest a capacity to attribute beliefs. The argument from implicitness holds that SCAs already reflect the possession of an “implicit” and “rudimentary” capacity to attribute representational states. Against it, I note that SCAs are significantly limited, and have likely evolved to respond to contextual information in situated interaction with others. I challenge the argument from parsimony by claiming (...) that parsimony per se favors neither a mentalist nor a behavior-reading account. Finally, I argue that early SCAs do not develop continuously into four-year-olds' belief attribution abilities. Accordingly, the argument from developmental continuity is empirically inadequate. Careful analysis of both the empirical data and the theoretical assumptions leading to the epistemic mentalist view is needed in order to improve our understanding of SCAs in earl.. (shrink)

A standard approach to examining Deleuze's concept of difference in Difference and Repetition is to follow his critique of representation through an overturning of Platonism, which Deleuze finds to be the definitive task of philosophy after Nietzsche. While engaging this largely critical project, however, there is a tendency to overlook the dimensions of Platonism that Deleuze rehabilitates in a differential and immanent register. This paper aims to recover the essential dimensions of Platonism at the very heart of Deleuze's philosophy of (...) difference. This recovery is accomplished by distinguishing Nietzsche's overturning of Platonism through his evaluation of the reactive politics of the Idea from Deleuze's own reversal of Platonism through his evaluation of the active politics of simulacra. (shrink)

Since the early days of physics, space has called for means to represent, experiment, and reason about it. Apart from physicists, the concept of space has intrigued also philosophers, mathematicians and, more recently, computer scientists. This longstanding interest has left us with a plethora of mathematical tools developed to represent and work with space. Here we take a special look at this evolution by considering the perspective of Logic. From the initial axiomatic efforts of Euclid, we revisit the major milestones (...) in the logical representation of space and investigate current trends. In doing so, we do not only consider classical logic, but we indulge ourselves with modal logics. These present themselves naturally by providing simple axiomatizations of different geometries, topologies, space-time causality, and vector spaces. (shrink)

We address recent interpretations of infant performance on spontaneous false belief tasks. According to most views, these experiments show that human infants attribute mental states from a very young age. Focusing on one of the most clearly worked out, minimalist versions of this idea, Butterfill and Apperly's "minimal theory of mind" framework, we defend an alternative characterization: the minimal theory of rational agency. On this view, rather than conceiving of social situations in terms of states of an enduring mental substance (...) animating agents, infant interpreters parse observed bouts of behavior and their contexts into goals, rational means to those goals, and available information. In other words, the social ontology of infant interpreters consists in goal-directed, informed bouts of behavior, by non-enduring agents, rather than agents animated by states of enduring, unobservable minds. We discuss a number of experiments that support this interpretation of infant socio-cognitive competence. (shrink)

One crucial part of the Aristotle´s discussion of the principle of non-contradiction in Metaphysics IV 4 is his notion of semainein hen, which must be carefully distinguished from the closely connected notion of semainein kath´ henos. The Aristotelian proof is located at 1006b28-34 and it is argued that it does not suppose any bit of essentialism nor does it contain any petitio principii; some improvements are further proposed to the current translations.

In Beyond Nature Maurizi tackles the animal question from an unprecedented perspective: strongly criticizing the abstract moralism that has always characterized animal rights activism, the author proposes a historical-materialistic analysis of the relationship between humans and non-humans. By contrasting the thinking of Hegel, Marx and the Frankfurt School with classical authors in the field of animal rights (such as Singer, Regan, and Francione) this text offers an alternative, social and dialectical theory of animality and a different practical approach to the (...) problem of animal suffering. The hopes for change placed in veganism, liberationism and animal activism are here assumed in a political, revolutionary perspective, in which human and animal liberation finally cease to oppose each other. (shrink)

From the early 1840s on, Jeremy Bentham’s utilitarian doctrine aroused the joint interest of Marx and Engels, who saw the English philosopher as one of the forerunners of socialism. Later, however, in the various editions (German, French, English) of Book 1 of Capital (1867/90), Bentham would be sarcastically branded by Marx as a “genius of bourgeois stupidity”. In their youth, both Engels and Marx had independently become interested in Bentham’s ideas, admiring some social-ethical themes, seen as heralding interesting developments for (...) the cause of the proletariat. On Engels’s suggestion, Marx included Bentham’s name, alongside those of the major 18th–19th century English and French exponents of protosocialism, in a planned Library of the most outstanding foreign socialist writers (1845), which however remained only a draft. From his first stay in England (1842/44), the young Engels had embraced in particular the famous utilitarian principle of “the greatest happiness of the greatest number” advocated by Bentham. Marx, on the other hand, after initially praising Bentham’s work, which he had read in a French translation during his exile in Paris (1844), harshly criticized the ambiguous implications of this principle. In fact, he believed thatbehind a misleading progressive façade, it constituted the philosophical equivalent of the later economic theory of labour productivity propounded by D. Ricardo in opposition to the theory of its mere quantitative extension put forward by A. Smith. In the London Manuscripts (1861/63) Marx will reveal the affinity betweenBentham’s principle of the happpiness of the greatest number of people, and Ricardo’s assumption of the ineliminable misery of the minority condemned to productive labour. Based on the collection of Marx’s and Engels’s texts (letters, drafts, notebooks, manuscripts, printed works), made available today thanks to the critical edition by MEGA1, this paper sets out to re-examine, im großen und ganzen, the main moments in their critique of Bentham’s Utilitarianism. (shrink)

If the definition of a scientific discipline depends on the definition of its object of investigation, the unity of psychology should depend on the unitarian description of the mind. However, the mind is anything but a unitarian concept. Its common sense definition is subject to temporal and geographical variation because the mental is also a cultural construct; and the variety of psychological disciplines nowadays existing proposes several definitions of the mental. The epistemology of psychology investigates the definition of the mental (...) by assuming the pluralism of the psychological disciplines as a fact, rather than as a problem, and it invites psychologists to reason about the epistemological bases of their empirical research. (shrink)

The paper presents a historical account of the primacy of concepts in Frege's conception of logic. Moreover, it argues that Frege's priority-thesis (i.e., the assumption that judgeable contents are prior to concepts) does not imply that sentential logic is more basic than the logic of concepts in his thought.

This paper replies to objections that have been raised against my operational-Kantian account of thought experiments by Fehige 2012 and 2013. Fehige also sketches an alternative Neo-Kantian account that utilizes Michael Friedman’s concept of a contingent and changeable a priori. To this I shall reply, first, that Fehige’s objections not only neglect some fundamental points I had made as regards the realizability of TEs, but also underestimate the principle of empiricism, which was rightly defended by Kant. Secondly, in opposition to (...) what he states, my account does not differ in a very essential way from the empiricist solutions either as regards the power of TEs to predict something new about empirical reality, or as regards the criteria for telling apart good from bad TEs. Thirdly, in the light of the Kantian definition of the a priori, Friedman’s corresponding notion is contrary both to the spirit and to the letter of Kant’s philosophy; moreover, from a theoretical point of view, a material a priori is theoretically untenable since, counter to Friedman’s own intentions, it leads to relativism. -/- . (shrink)

I begin by briefly reconstructing Honneth’s concept of reification. His paradigm gives the reification of the non-human environment a marginal position in comparison to the reification of human beings, thereby detracting from its explanatory and critical potential. In order to avoid this outcome, I subsequently present a paradigm of subject identity formation in which not only affectively-based intersubjective interactions but also affectively-based interactions with the non-human environment are, in both a “genetic” and a “conceptual” sense, essential to establish an objective (...) and meaningful relationship with external reality. On the basis of this paradigm a closer connection can be identified between the reification of human beings and the reification of the non-human environment—a connection in which the reification of the latter may reinforce human reification (and vice versa). (shrink)

Doctor–patient communication is a crucial component in any therapeutic encounter. Physicians use words to formulate diagnoses and prognoses, to disclose the risks and benefits of medical interventions, and to explain why, how, and when a therapy will be administered to a patient. Likewise, patients communicate to describe their symptoms, to make sense of their conditions, to report side effects, to explore other therapeutic options, and to share their feelings. Throughout the history of medicine, the ethics of the doctor–patient communication has (...) been traditionally grounded on considerations of paternalistic beneficence and nonmaleficence. In this respect, it was no different from the ethics regulating.. (shrink)

Why, for such a long time, has there been no Kantian point of view among the most influential theories about thought experiments? The primary historical reason – the main trends in the philosophy of science have always rejected the existence of a priori knowledge – fits a theoretical reason. Kant oscillated between two very different views about the a priori: on the one hand, he attributed to it a particular content, whereas on the other hand he insisted on its purely (...) formal character. The first interpretation of the a priori was one-sidedly developed by Ørsted and led to his untenable notion of thought experiment. The other interpretation, however, can be further developed into new Kantian theories of thought experiments in the natural sciences and in philosophy. (shrink)

Understanding the role of ‘‘representations’’ in cognitive science is a fundamental problem facing the emerging framework of embodied, situated, dynamical cognition. To make progress, I follow the approach proposed by an influential representational skeptic, Randall Beer: building artificial agents capable of minimally cognitive behaviors and assessing whether their internal states can be considered to involve representations. Hence, I operationalize the concept of representing as ‘‘standing in,’’ and I look for representations in embodied agents involved in simple categorization tasks. In a (...) first experiment, no representation can be found, but the relevance of the task is undermined by the fact that agents with no internal states can reach high performance. A simple modification makes the task more “representationally hungry,” and in this case, agents’ internal states are found to qualify as representations. I conclude by discussing the benefits of reconciling the embodied-dynamical approach with the notion of representation. (shrink)

The paper argues that Frege’s primary foundational purpose concerning arithmetic was neither that of making natural numbers logical objects, nor that of making arithmetic a part of logic, but rather that of assigning to it an appropriate place in the architectonics of mathematics and knowledge, by immersing it in a theory of numbers of concepts and making truths about natural numbers, and/or knowledge of them transparent to reason without the medium of senses and intuition.

The operational perspective here defended permits a reflexive-transcendental point of view that sharply distinguishes the two concepts, while, at the same time, maintaining the connection between them. On the one hand, simply imagining that the experimental apparatus, counterfactually anticipated in a thought experiment, has really been constructed is sufficient to erase any difference between thought and real experiments. On the other hand, this very ‘imagining’, this capacity of the mind to assume every real entity as a possible entity, underpins the (...) difference in principle – a properly transcendental difference – between thought and real experiments. This difference, however, implies the intimate association between experiment and thought experiment: All thought experiments must be thought of as translatable into real ones, and all real experiments as realisations of thought ones. What thought experiments have over and above real experiments is the mere fact that they exist in a purely hypothetical sphere; what real have over and above thought experiments is the mere fact that they overstep the sphere of the possible, in the experiment’s real execution. (shrink)

We reconstruct essential features of Lagrange’s theory of analytical functions by exhibiting its structure and basic assumptions, as well as its main shortcomings. We explain Lagrange’s notions of function and algebraic quantity, and we concentrate on power-series expansions, on the algorithm for derivative functions, and the remainder theorem—especially on the role this theorem has in solving geometric and mechanical problems. We thus aim to provide a better understanding of Enlightenment mathematics and to show that the foundations of mathematics did not, (...) for Lagrange, concern the solidity of its ultimate bases, but rather purity of method—the generality and internal organization of the discipline. (shrink)

Matthias Schirn has argued on a number of occasions against the interpretation of Frege's ``objects of a quite special kind'' (i.e., the objects referred to by names like `the concept F') as extensions of concepts. According to Schirn, not only are these objects not extensions, but also the idea that `the concept F' refers to objects leads to some conclusions that are counter-intuitive and incompatible with Frege's thought. In this paper, I challenge Schirn's conclusion: I want to try and argue (...) that the assumption that `the concept F' refers to the extension of F is entirely consistent with Frege's broader views on logic and language. I shall examine each of Schirn's main arguments and show that they do not support his claim. (shrink)

This paper proposes a new reading of Nicomachean Ethics I 2 1094a18-22 with a view to solving the problem that the argument this passage contains would be invalid because it apparently commits a quantifier shift to reach its conclusion. On the reading advocated in this paper, no fallacy is committed, and the argument is sound provided one reads the conclusion at 1094a21-22 in the way the manuscript Marcianus 213 invites us to do. Grammatical considerations are produced to shore up the (...) logical validity of the argument. (shrink)

Since before we can remember, humanity aims to overcome its biological limitations; such a goal has certainly played a key role in the advent of technique. However, despite the benefits that technique may bring, the people who make use of it will inevitably be under risk of harm. Even though human technical wisdom consists in attaining the best result without compromising anybody’s safety, misuses are always a possibility in the horizon. Nowadays, technology can be used for more than just improving (...) human capacities, preserving and restoring health or promoting human well-being. It also enables us to overcome human limitations and reach way beyond our "natural design". That being said, what could possibly justify the fear for these new directions of biotechnology? Should medicine and health care change their traditional goals and begin searching for artificial improvements to wellness in human nature? In this paper, I will hereby present and briefly discuss the main topics of the contemporary issue of human enhancement: the therapy-enhancement distinction, the possibility of cognitive enhancements and better physical performances, the fight against senescence, the arguments for and against human eugenics, the search for perfection, the quest of moral enhancement, the problem of public priorities, and some questions on medical ethics. Then, finally, I will want to present some realist perspectives on the subject. (shrink)

This essay will discuss how the Theory of Communicative Action incorporates the systemic complexification process and the Systems and Life World duality. Part of this process will be carried out with the discussion of communicative action, as a space for dialogue between people seeking understanding. The process of new forms of understanding and construction of knowledge is possible through the integrative structure of the lifeworld, such as semantic dimension, social space, and historical time. However, there is the other side, the (...) Systems, where the manifestations of crisis and disturbances, the pathologies of society, which in cultural reproduction appear as a loss of meaning of culture, loss of legitimacy of society and in personality, there is a crisis of belonging. (shrink)

A questão fundamental dessa investigação será mostrar quais bases sustentam a ideia do poder soberano no interior do chamado Estado Moderno e como nele se manifesta a relação com seus membros. Para alcançar esse objetivo pretendemos inicialmente mostrar a busca destas bases que o pensamento de Jean-Jacques Rousseau persegue desde o Discurso sobre as ciências e as artes (1749), passando pelo Discurso sobre a Origem e os Fundamentos da Desigualdade entre os Homens (1755) até alcançar sua formulação mais completa em (...) Do Contrato Social (1762), considerado o estudo mais influente da vida intelectual do autor. Nesta última obra, a legitimidade do comportamento se torna necessária para organizar os integrantes da sociedade, tornando coeso o corpo político. Para isso, os cidadãos se submetem a uma lei inviolável, a qual será validada pelos próprios membros do Estado. Portanto, delegam seu poder particular em direção à vontade geral, sendo cada homem considerado parte do poder soberano do Estado. (shrink)

Over the last few decades climate change has been gaining importance in international scientific and political debates. However, the social sciences, especially in Latin America, have only lately become interested in the subject and their approach is still vague. Scientific understanding of global environmental change and the process of designing public policies to face them are characterized by their complexity as well as by epistemic and normative uncertainties. This makes it necessary to problematize the way in which research efforts understand (...) ‘the social’ of climate change. How do ‘the climate’ and ‘the social’ interpenetrate as scientific objects? What does the resulting field look like? Is the combination capable of promoting reflexivity and collaboration on the issue, or does it merely become dispersed with diffuse boundaries? Our paper seeks to answer these and other related questions using Chile as a case study and examining peer-reviewed scientific research on the topic. By combining in-depth qualitative content analysis of each paper with a statistical meta-analysis, we were able to: characterize the key content and forms of such literature; identify divisions and patterns within it; and, discuss some factors and trends that may help explain these. We conclude that the literature displays two competing trends: while it is inclined to become fragmented beyond the scope of the ‘mitigation’ black box, it also tends to cluster along the lines of methodological distinctions traditionally contested within the social sciences. This, in turn, highlights the persistence of disciplinary divisions within an allegedly interdisciplinary field. (shrink)

There are many cases in which the “direction” of architecture seems to be indifferent to the architect who designs it. Among these, the Guggenheim Museum in New York by Frank Lloyd Wright is highly emblematic: through the long and troubled project’s phases it shows a surprising “reversibility”, horizontal and vertical. In most cases, however, the “direction” of architecture is determined by factors which are situated outside of it, as are existing buildings, or the circumstances of the site and the factors (...) of exposure, lighting and ventilation. In this sense, architecture not only reveals the existence of differences but it builds them, becoming itself a system of differences. (shrink)