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The paper aims to establish if Grassmann’s notion of an extensive form involved an epistemological change in the understanding of geometry and of mathematical knowledge. Firstly, it will examine if an ontological shift in geometry is determined by the vectorial representation of extended magnitudes. Giving up homogeneity, and considering geometry as an application of extension theory, Grassmann developed a different notion of a geometrical object, based on abstract constraints concerning the construction of forms rather than on the homogeneity conditions required (...) by the modern version of the theory of proportions. Secondly, Grassmann’s conception of mathematical knowledge will be investigated. Parting from the traditional definition of mathematics as a science of magnitudes, Grassmann considered mathematical forms as particulars rather than universals: the classification of the branches of mathematics was thus based on different operational rules, rather than on empirical criteria of abstraction or on the distinction of different species belonging to a common genus. It will be argued that a different notion of generalization is thus involved, and that the knowledge of mathematical forms relies on the understanding of the rules of generation of the forms themselves. Finally, the paper will analyse if Grassmann’s approach in the first edition of the Ausdehnungslehre should be explained in terms of the notion of purity of method, and if it clashes with Grassmann’s later conventionalism. Although in the second edition the features of the operations are chosen by convention, as it is the case for the anti-commutative property of the multiplication, the choice is oriented by our understanding of the resulting forms: a simplification in the algebraic calculus need not correspond to a simplification in the ‘dimensional’ interpretation of the result of the multiplicative operation. (shrink)

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The article evaluates the Domain Postulate of the Classical Model of Science and the related Aristotelian prohibition rule on kind-crossing as interpretative tools in the history of the development of mathematics into a general science of quantities. Special reference is made to Proclus’ commentary to Euclid’s first book of Elements , to the sixteenth century translations of Euclid’s work into Latin and to the works of Stevin, Wallis, Viète and Descartes. The prohibition rule on kind-crossing formulated by Aristotle in Posterior (...) analytics is used to distinguish between conceptions that share the same name but are substantively different: for example the search for a broader genus including all mathematical objects; the search for a common character of different species of mathematical objects; and the effort to treat magnitudes as numbers. (shrink)

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The paper analyses the role played by the concept of ‘common ground’ in argumentation theories. If a common agreement on all the rules of a discursive exchange is required, either at the beginning or at the end of an argumentative practice, then no violation of the rules is possible. The paper suggests an alternative understanding of ‘common ground’ as something that can change during the development of the argumentative practice, and in particular something that can change without the practice being (...) stopped, just as one sometimes violates the rule of a game without stopping playing. The analysis of some historical examples shows that the violation of rules sometimes leads to a consensual change of a set of beliefs and values. The argumentative rationality thus needs to be reconsidered in the light of the analysis of the conditions under which it would be legitimate to change the rules of an argumentative practice: ‘common ground’ and the right to disagreement, even radical or violent, could then be defended as essential components of argumentative rationality. (shrink)

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The paper discusses some changes in Bolzano's definition of mathematics attested in several quotations from the Beyträge, Wissenschaftslehre and Grössenlehre: is mathematics a theory of forms or a theory of quantities? Several issues that are maintained throughout Bolzano's works are distinguished from others that were accepted in the Beyträge and abandoned in the Grössenlehre. Changes are interpreted as a consequence of the new logical theory of truth introduced in the Wissenschaftslehre, but also as a consequence of the overcome of Kant's (...) terminology, and of the radicalization of Bolzano's anti‐Kantianism. Bolzano's evolution is understood as a coherent move, once the criticism expressed in the Beyträge on the notion of quantity is compared with a different and larger notion of quantity that Bolzano developed already in 1816. This discussion is enriched by the discovery that two unknown texts mentioned by Bolzano in the Beyträge can be identified with works by von Spaun and Vieth respectively. Bolzano's evolution is interpreted as a radicalization of the criticism of the Kantian definition of mathematics and as an effect of Bolzano's unaltered interest in the Leibnizian notion of mathesis universalis. As a conclusion, the author claims that Bolzano never abandoned his original idea of considering mathematics as a scientia universalis, i.e. as the science of quantities in general, and suggests that the question of ideal elements in mathematics, apart from being a main reason for the development of a new logical theory, can also be considered as a main reason for developing a different definition of quantity. (shrink)

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The paper introduces Vailati’s life and works, investigating Vailati’s education, the relation to Peano and his school, and the interest for pragmatism and modernism. A detailed analysis of Vailati’s scientific and didactic activities, shows that he held, like Peano, a a strong interest for the history of science and a pluralist, anti-dogmatic and anti-foundationalist conception of definitions in mathematics, logic and philosophy of language. Vailati’s understanding of mathematical logic as a form of pragmatism is not a faithful interpretation of Peano’s (...) conception, but it is essential to understand the relations of Peano’s logic with other philosophical traditions and some epistemological aspects of Peano’s perspective, such as the search for a universal language. (shrink)

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The philosophy of mathematics has been accused of paying insufficient attention to mathematical practice: one way to cope with the problem, the one we will follow in this paper on extensive magnitudes, is to combine the `history of ideas' and the `philosophy of models' in a logical and epistemological perspective. The history of ideas allows the reconstruction of the theory of extensive magnitudes as a theory of ordered algebraic structures; the philosophy of models allows an investigation into the way epistemology (...) might affect relevant mathematical notions. The article takes two historical examples as a starting point for the investigation of the role of numerical models in the construction of a system of non-Archimedean magnitudes. A brief exposition of the theories developed by Giuseppe Veronese and by Rodolfo Bettazzi at the end of the 19th century will throw new light on the role played by magnitudes and numbers in the development of the concept of a non-Archimedean order. Different ways of introducing non-Archimedean models will be compared and the influence of epistemological models will be evaluated. Particular attention will be devoted to the comparison between the models that oriented Veronese's and Bettazzi's works and the mathematical theories they developed, but also to the analysis of the way epistemological beliefs affected the concepts of continuity and measurement. (shrink)

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Argumentation theory underwent a significant development in the Fifties and Sixties: its revival is usually connected to Perelman's criticism of formal logic and the development of informal logic. Interestingly enough it was during this period that Artificial Intelligence was developed, which defended the following thesis (from now on referred to as the AI-thesis): human reasoning can be emulated by machines. The paper suggests a reconstruction of the opposition between formal and informal logic as a move against a premise of an (...) argument for the AI-thesis, and suggests making a distinction between a broad and a narrow notion of algorithm that might be used to reformulate the question as a foundational problem for argumentation theory. (shrink)

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The question of the applicability of mathematics is an epistemological issue that was explicitly raised by Kant, and which has played different roles in the works of neo-Kantian philosophers, before becoming an essential issue in early analytic philosophy. This paper will first distinguish three main issues that are related to the application of mathematics: indispensability arguments that are aimed at justifying mathematics itself; philosophical justifications of the successful application of mathematics to scientific theories; and discussions on the application of real (...) numbers to the measurement of physical magnitudes. A refinement of this tripartition is suggested and supported by a historical investigation of the differences between Kant’s position on the problem, several neo-Kantian perspectives, early analytic philosophy, and late 19th century mathematicians. Finally, the debate on the cogency of an application constraint in the definition of real numbers is discussed in relation to a contemporary debate in neo-logicism, in order to suggest a comparison not only with Frege’s original positions, but also with the ideas of several neo-Kantian scholars, including Hölder, Cassirer, and Helmholtz. (shrink)

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Recent years have featured the existence of a variety of structuralisms, with an important partition between methodological versus philosophical structuralism. Inside philosophical structuralism, many trends can be identified, corresponding to various ontological stances. We argue here that another main partition has contributed to organize structuralism in the twentieth century, rooted in different technical and theoretical interests. This partition is largely transversal to the ones classically identified. Concretely, the paper will focus on possible differences between an arithmetical and logical notion of (...) structure that can be traced back to the writings of Bertrand Russell and Rudolf Carnap, and a mathematical notion of structure, exemplified in the works by Bourbaki. This coexistence gives rise to a fundamental ambiguity that affects contemporary structuralism. Philosophically, in one case the attention is rather centered on a foundational and reductionist perspective, as featured by the Whitehead-Russell Principia and the Carnapian project of the Aufbau: the scientific construction of the world around the idea of structure. In the other, the focus is on epistemological and dynamical issues, as exemplified by two key issues in Bourbaki’s treatise: understanding the architecture of mathematics, offering a tool-kit to mathematicians. These two distinct meanings still coexist inside contemporary scientific practices and lead to different theoretical interests, as we will show thanks to various recent examples. (shrink)

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Two currents of thought play an important role in the contemporary philosophy of mathematics. Although structuralism is not a new idea, it continues to unfold in multiple directions ranging from mathematical practice to its ontological dimension and to be the object of studies, for example as regards the modalities of its genesis. The classical conception of historical epistemology has been broadly enriched recently and is also at the heart of debates that renew the philosophy of science well beyond its classical (...) themes. However, its use in mathematics requires specific analyses because notions such as rigor, experience or ontology have a different meaning and historical weight in mathematics than in the natural sciences. The purpose of this article will be to put some of these debates into perspective by focusing on one of the most significant phenomena of mathematics in the twentieth century—the structuralism of Bourbaki. It will focus in particular on the potentialities of historical epistemology in an attempt to show that its tools enable us to enhance our understanding of some of the issues of structuralism. We will focus on two key notions in the work of Rheinberger, Daston and Hacking, namely epistemic objects and concepts. (shrink)

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L'article aborde la question suivante : est-ce que le bon ordre des concepts peut être considéré un élément essentiel de rigueur scientifique dans la logique et les mathématiques de xixe et xxe siècle, en particulier quand il s'agit d'auteurs qui ont été influencés profondément par le projet leibnizien de la caractéristique? L'article prend en considération trois exemples : Hermann Graßmann, Giuseppe Peano et Kurt Gödel. Selon notre thèse, le choix des concepts primitifs dans les théories hypothético-déductives n'était pas seule­ment une (...) question d'opportunité, mais parfois aussi le résultat d'une investiga­tion philosophique sur les fondements des disciplines scientifiques. La question du « bon » ordre des concepts n'est plus considérée comme une tâche réalisable, maïs elle est devenue un idéal à suivre ; néanmoins elle reste une partie essen­tielle du travail axiomatique. L'article vise donc à critiquer l'opposition trop nette qu'on trouve dans la littérature entre l'investigation de l'âge classique sur le bon ordre des concepts et la création de l'axiomatique moderne. La rup­ture scientifique déterminée par la création des systèmes axiomatico-deductifs en mathématiques et logique doit donc être associée à certains éléments de continuité qui regardent l'idéal de la connaissance en tant que recherche d'une théorie générale des concepts à obtenir par composition de certains éléments fondamentaux. (shrink)

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The turn of the last century was a key transitional period for the development of symbolic logic and scientific philosophy. The Peano school, the editorial board of the Revue de Métaphysique et de Morale, and the members of the Vienna Circle are generally mentioned as champions of this transformation of the role of logic in mathematics and in the sciences. The articles contained in this volume aim to contribute to a richer historical and philosophical understanding of these groups and research (...) areas in Italy, France and Austria. Specifically, the contributions focus on the following topics: a detailed investigation of the relation between structuralism and modern mathematics; different notions of definition and interpretation at the turn of last century; a closer understanding of the relation between the Vienna Circle, the Peano School and French philosophy in the first half of the twentieth century. (shrink)

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1 The epistemology of Otto Hölder This special issue is devoted to the philosophical ideas developed by Otto Hölder (1859-1937), a mathematician who made important contributions to analytic functions and group theory. Hölder’s substantial work on the foundations of mathematics and the general philosophical conception outlined in this work are, however, still largely unknown. Up to the present, philosophical interest in Hölder’s work has been limited to his axiomatic formulation of a theory of..

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Giuseppe Veronese is known for his studies on spaces with more dimensions; less known are his “philosophical” writings, that concern the foundations of geometry and mathematics and explain the reasons for constructing a non-Archimedean geometry (several years before David Hilbert’s Grundlagen) and the formulation of a concept of continuity that admits infinitely big and small quantities. After sketching some relevant aspects of Veronese’s epis-temology, the article will analyse the relation between geometry and spatial intuition by a comparison of Veronese’s, Helmholtz’s (...) and Poincaré’s conceptions of the geometrical space. According to Veronese, the representational space, and the geometrical space as well, are not Euclidean nor have a definite number of dimensions: that is why one can represent himself a space with four dimensions and even a non-Archimedean continuum. (shrink)

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The philosophy of mathematical practice sometimes investigates the social constitution of mathematics but does not always make explicit the philosophical-normative framework that guides the discussion. This chapter investigates some recent proposals in the philosophy of mathematical practice that compare social facts and mathematical objects, discussing similarities and differences. An attempt will be made to identify, through a comparison with three different perspectives in social ontology, the kind of objectivity attributed to mathematical knowledge, the type of representational or non-representational semantics adopted, (...) and the justificatory or coordinative role entrusted to axiomatics. After a brief introduction to key issues in social ontology, Sect. 3 of the chapter offers a survey of contributions by Feferman, Ferreirós, and Cole, highlighting a difference between approaches based on rules, practices, and intentional states, respectively. Section 4.1 also discusses results by Carter, Collin, Giardino, and Pantsar, focusing on differences between the objectivity of knowledge and objectivity of objects and showing that many authors combine a realist, structuralist, and pragmatist perspective, as well as the idea that objectivity comes in degrees. Section 4.2 focuses on the kind of semantics that is adopted in socially oriented approaches. A representational semantics is preferred by authors grounding their views on mental states, whereas a non-representational semantics best fits with views based on practices. Section 5 considers how axiomatics can be understood in a social perspective. Axiomatics generally plays a justificatory role also in theories that aim to explain the social constitution of mathematical knowledge. Yet, if one shifts from approaches based on mental states to approaches anchored on rules or habits, axiomatics can be viewed as an institution based on obligations, functions, coordination problems, and agent’s actions and roles, thus playing an organizational and coordination role. (shrink)

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In this introductory essay we compare different strategies to study the possibility of applying philosophical theories of social ontology to mathematical practice and vice versa. Analyzing the contributions to the special issue Mathematical practice and social ontology, we distinguish four main strands: (1) to verify whether the very act of producing mathematical knowledge is an intersubjective activity; (2) to explain how the intersubjective nature of mathematics relates to mathematical objectivity; (3) to show how this intersubjectivity-based objectivity is the result of (...) social practice; (4) to understand whether, given the social nature of intersubjectivity-based mathematical objectivity, mathematical objects can be described by analogy with social facts as institutions. (shrink)

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TABLE OF CONTENTS -/- I. La rinascita novecentesca 1. Chaïm Perelman: la nuova retorica 2. Stephen Toulmin: la pratica logica e l’uso degli argomenti 3. Ragionamento e linguaggio: la logica naturale di Jean-Blaise Grize -/- II. La logica informale 1. Informale vs. formale? 2. Il concetto di argomento 3. La ripresa della teoria di Paul Grice 4. La ricostruzione degli argomenti 5. La valutazione degli argomenti: le fallacie 6. Il network problem -/- III. Dialogo e dialettica 1. La logica dialogica (...) di Paul Lorenzen 2. Charles L. Hamblin e i sistemi dialettici 3. Else Barth e la dialettica formale 4. Jaakko Hintikka: logica interrogativa e teoria dei giochi -/- IV. Pragmatica e dialettica 1. La Pragma-Dialectics di van Eemeren e Grootendorst: un ideale filosofico della razionalità 2. Ricostruzione e valutazione degli argomenti 3. L’analisi delle fallacie 4. Fallacie e biases: tra argomentazione e psicologia -/- V. Intersoggettività e impegni dialogici 1. La New Dialectic e il ragionamento interpersonale: Douglas Walton ed Erik Krabbe 2. Contesti dialogici e commitment store 3. Teoria delle fallacie e presumptive reasoning 4. La fondazione della Informal Logic 5. Argomentazione, informatica e scienza cognitiva -/- VI. Razionalità e fondazione 1. Razionalità discorsiva: la pragmatica universale di Jürgen Habermas 2. Razionalità inferenziale e semantica: la pragmatica normativa di Robert B. Brandom 3. La pragmatica trascendentale di Karl O. Apel 4. Modelli di razionalità 5. Fondazione o giustificazione -/- VII. Argomentazione e pratiche sociali 1. Ragionamento pratico 2. Etiche del discorso 3. Diritto e politiche dell’argomentazione. (shrink)

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The paper advocates an epistemological interpretation of the Peano School axiomatics. The construction of axiom systems is presented as a cognitive enterprise unveiling the internal dynamics, evolution, and architecture of axiomatic systems as well as connections to applications. This approach reveals that the study of the relation between axioms and theorems not only serves to reduce a theory to a minimum number of principles and increase the certainty or justification of the latter, but also to study alternative settings of a (...) given mathematical theory. The paper explains why the Peanian conception of axiomatics differs from axiomatic deductivism, if-thenism and scientific deductivism, and analyzes Peano’s conception of rigor. The paper also postulates that Peano had a set-theoretic but also an algorithmic conception of function, and prioritized functions over relations. Two seemingly contradictory aspects of Peano’s axiomatics, global and local reasoning, are illustrated through the examples of rigor and simplicity. Finally, the paper claims that Peano’s axiomatics was a dynamic mathematical enterprise rather than an a priori axiomatization grounded on logical principles, which explains the difference with respect to Frege’s project. (shrink)

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At the beginning of the xxth century the high rate of analphabetism and the recent unification of the country, achieved only in 1870, had required a vast program of school and university reforms which were accompanied by a debate on two fundamental questions: whether the university should depend on public funds or become autonomous, and whether the curriculum should be specialized or remain general as in the modern era. The 1859 Casati reform had separated the faculty for literature and philosophy (...) from the faculty for mathematical, physical and natural sciences, thus introducing for the first time specialized curricula. (shrink)

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The aim of the paper is to analyze Hölder’s understanding of geometry and measurement presented in Intuition and Reasoning [Hölder 1900], “The Axioms of Quantity and the Theory of Measurement” [Hölder 1901], and The Mathematical Method [Hölder 1924]. The paper explores the relations between a) Hölder’s demarcation of geometry from arithmetic based on the notion of given concepts, b) his philosophical stance towards Kantian apriorism and empiricism, and c) the choice of Dedekind’s continuity in the axiomatic formulation of the theory (...) of magnitudes. The paper shows that the choices made at the axiomatic level reflect Hölder’s epistemological framework, and individuates the originality of his approach in the case by case analysis of deductive procedures. (shrink)

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Peano’s axioms for arithmetic, published in 1889, are ubiquitously cited in writings on modern axiomatics, and his Formulario is often quoted as the precursor of Russell’s Principia Mathematica. Yet, a comprehensive historical and philosophical evaluation of the contributions of the Peano School to mathematics, logic, and the foundation of mathematics remains to be made. In line with increased interest in the philosophy of mathematics for the investigation of mathematical practices, this them...

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This book provides a collection of chapters on the development of scientific philosophy and symbolic logic in the early twentieth century. The turn of the last century was a key transitional period for the development of symbolic logic and scientific philosophy. The Peano school, the editorial board of the Revue de Métaphysique et de Morale, and the members of the Vienna Circle are generally mentioned as champions of this transformation of the role of logic in mathematics and in the sciences. (...) The scholarship contained provides a rich historical and philosophical understanding of these groups and research areas. Specifically, the contributions focus on a detailed investigation of the relation between structuralism and modern mathematics. In addition, this book provides a closer understanding of the relation between symbolic logic and previous traditions such as syllogistics. This volume also informs the reader on the relation between logic, the history and didactics in the Peano School. This edition appeals to students and researchers working in the history of philosophy and of logic, philosophy of science, as well as to researchers on the Vienna Circle and the Peano School. (shrink)

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Among the numerous influences and reciprocal interactions between France and Italy at the beginning of the 20th century, it is interesting to investigate the complex case of Louis Rougier’s reception of Italian mathematical logic (including in particular the contributions by some members of the Peano school: Giuseppe Peano, Giovanni Vailati, Alessandro Padoa, and Mario Pieri). This paper aims to investigate the role and the influence of the Peano school on the inversion of this French tendency of philosophers to ignore logic (...) and mathematics. My claim is that Rougier was not only personally interested in Italian mathematics and logic, and in particular in the innovations made by Peano and his school, but used it to support a project of renewal of French logic and scientific philosophy. Rougier recalls the contributions of the school to axiomatics and to mathematical logic, in order to criticize the standard teaching of logic in France, mainly based on syllogistic theory, as well as the view, still defended by his teacher Goblot in 1907, that mathematical proofs are largely based on intuition. For this purpose, any reference to Hilbert’s axiomatics would have sufficed. The reason why Rougier refers also to Peano and his entourage is related to a common interest in linguistics and in epistemology. (shrink)

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Oxford: Oxford University Press 2011, x + 245 pp. £44.00 (hardcover). ISBN 978-0-19-960620-7.

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_Logic and Pragmatism_ features a number of the key writings of Giovanni Vailati, the Italian mathematician and philosopher renowned for his work in mechanics, geometry, logic, and epistemology. The selections in this book—many of which are available here for the first time in English—focus on Vailati’s significant contributions to the field of pragmatism. Accompanying these pieces are introductory essays by the volume’s editors that outline the traits of Vailati’s pragmatism and provide insights into the scholar’s life.

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Logic and Pragmatism features a number of the key writings of Giovanni Vailati (1863–1909), the Italian mathematician and philosopher renowned for his work in history of mechanics, geometry, logic, and epistemology. The selections in this book—many of which are available here for the first time in English—focus on Vailati’s significant contributions to the field of pragmatism. Two introductory essays by the volume’s editors outline the traits of Vailati’s pragmatism and provide insights into the scholar’s life.

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Abstract“Sham codes” or “slow codes”—defined here as resuscitative efforts undertaken only to the extent necessary to convey the impression that “everything was done,” rather than to achieve return of spontaneous circulation (ROSC)—have been almost universally condemned for the past five decades. To facilitate an examination of this practice, we consider how the clinician's obligations and prerogatives differ under four scenarios, all of which involve conflict between the physician who desires to withhold cardiopulmonary resuscitation (CPR) and the family who does not. (...) Under two scenarios, involving quality of life considerations and quantitative futility (“long shots”), we argue that slow codes are ethically impermissible. Under two other scenarios, however, we maintain an agnostic view on the moral permissibility of slow codes. We observe that where the case for impermissibility is predicated on considerations of honesty and professional integrity, commonly practiced and commonly defended alternatives to the slow code, such as non‐initiation of CPR after bedside assessment, limited trials of CPR, and futile CPR, are typically undertaken for beneficent reasons and, like the slow code, entail non‐lying deception. Finally, we offer recommendations for care delivery reform that work “upstream” to prevent the conflicts and crises of trust that give rise to intractable conflicts surrounding CPR. (shrink)

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Background: Using lies, in dementia care, reveals a common practice far beyond the diagnosis and prognosis, extending to the entire care process. Objectives: In this article, we report results about the attitude and the behaviour of nurses towards the use of lies to patients with dementia. Research design: An epidemiological cross-sectional study was conducted between September 2016 and February 2017 in 12 elderly residential facilities and in the geriatric, psychiatric and neurological wards of six specialised hospitals of Italy’s Campania Region. (...) Participants: In all, 106 nurses compiled an attitude questionnaire (A) where the main question was ‘Do you think it is ethically acceptable to use lies to patients with dementia?’, instead 106 nurses compiled a behaviour questionnaire (B), where the main question was ‘Have you ever used lies to patients with dementia?’ Ethical considerations: Using lies in dementia care, although topic ethically still controversial, reveals a common practice far beyond the diagnosis and prognosis, extending to the entire care process. Findings: Only a small percentage of the interviewed nurses stated that they never used lies/that it is never acceptable to use lies (behaviour 10.4% and attitude 12.3%; p = 0.66). The situation in which nurses were more oriented to use lies was ‘to prevent or reduce aggressive behaviors’. Indeed, only the 6.7% in the attitude group and 3.8% in the behaviour group were against using lies. On the contrary, the case in which the nurses were less oriented to use lies was ‘to avoid wasting time giving explanations’, in this situation were against using lies the 51.0% of the behaviour group and the 44.6% of the attitude group. Conclusion: Our results, according to other studies, support the hypothesis of a low propensity of nurses to ethical reflection about use of lies. In our country, the implementation of guidelines about a correct use of lie in the relationship between health operators and patients would be desirable. (shrink)

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Volume 45, Issue 3, August 2024, Page 378-380.

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This text was first published in Theory, Culture & Society, May 13, 2015. For a special issue of Body & Society on ‘Rhythm, Movement, Embodiment',Paola Crespi presents two previously untranslated texts, Rudolf Bode's ‘Rhythm and its Importance for Education' and Rudolf Laban's ‘Eurhythmy and Kakorhythmy'. In the following interview she uncovers further unpublished and untranslated sources and she discusses some of the main themes of these texts in relation to the more widely known text - Danse, théâtre et (...) spectacle vivant – GALERIE – Nouvel article. (shrink)

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Questa ricerca intende affermare la continuità del pensiero del Campanella, negata dalla maggior parte della letteratura critica, e l'impossibilità di applicare alla sua dottrina un'esegesi riduzionista a carattere immanentistico; e ciò ...

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How much do animals matter--morally? Can we keep considering them as second class beings, to be used merely for our benefit? Or, should we offer them some form of moral egalitarianism? Inserting itself into the passionate debate over animal rights, this fascinating, provocative work by renowned scholarPaola Cavalieri advances a radical proposal: that we extend basic human rights to the nonhuman animals we currently treat as "things." Cavalieri first goes back in time, tracing the roots of the debate (...) from the 1970s, then explores not only the ethical but also the scientific viewpoints, examining the debate's precedents in mainstream Western philosophy. She considers the main proposals of reform that recently have been advanced within the framework of today's prevailing ethical perspectives. Are these proposals satisfying? Cavalieri says no, claiming that it is necessary to go beyond the traditional opposition between utilitarianism and Kantianism and focus on the question of fundamental moral protection. In the case of human beings, such protection is granted within the widely shared moral doctrine of universal human rights' theory. Cavalieri argues that if we examine closely this theory, we will discover that its very logic extends to nonhuman animals as beings who are owed basic moral and legal rights and that, as a result, human rights are not human after all. (shrink)

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Em um contexto educacional matemático, os problemas matemáticos com palavras são uma prática estabelecida com o objetivo de se conectar à vida cotidiana dos alunos. Com base nas perspectivas neomateriais e nos métodos de pesquisa baseados em arte, exploramos a colagem como uma forma de nos envolvermos criticamente com problemas matemáticos ilustrados. Desafiamos a visão da produção de conhecimento matemático como um processo objetivo, neutro em termos de valor e sem corpo, realizando cortes agenciais com problemas matemáticos ilustrados de dois (...) livros didáticos de matemática suecos. As perspectivas e os métodos mobilizam sensibilidades que promovem novos pontos de vista. Assim, contribuindo para ampliar a gama de métodos e paradigmas de pesquisa qualitativa que estudam problemas matemáticos com palavras. (shrink)

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Se revisan las prácticas fotográficas en los territorios asociados a la producción y sus consecuencias en el Chile contemporáneo, incluyendo cómo se hizo la selección y categorización del campo para construir un cuerpo de estudio con 28 casos. Con este se opera un análisis crítico, actualizándolo dentro de la discusión que ubica a la fotografía tensada entre la producción de «obra» y la de «documentos», y se recurre a las «poéticas de la fotografía del paisaje» propuestas por Santos Zunzunegui. Así (...) se hace evidente cómo la veladura del hecho estético sobre la fotografía deja ver, debajo de ella, el dolor irritante de la destrucción del paisaje, y los trabajos seleccionados devienen ora obras, ora documentos, para atraer la mirada y, al ser mirados, evidenciar el daño humano sobre el paisaje. (shrink)

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El objetivo de este artículo es presentar una medición de la renta ambiental en dos tipos de bosques privados representativos españoles, como son los alcornocales del Parque Natural Los Alcornocales (Cádiz y Málaga) y los pinares de silvestre de la Sierra de Guadarrama (Madrid y Segovia). Con este objetivo también se pretende contribuir a los debates técnico y político sobre la necesidad de que los gobiernos regulen la aplicación de las cuentas ambientales integradas de los bosques europeos. La medición de (...) los bienes y servicios ambientales del bosque consumidos por los propietarios privados y los visitantes públicos se ha realizado aplicando la técnica de valoración contingente. El valor de las setas recogidas por el público en los pinares de la Sierra de Guadarrama ha sido estimado aceptando los datos de precio y rendimiento del mercado de setas en Pinar Grande (Soria). La estimación del valor del carbono refleja el valor del daño evitado de la mitigación del efecto invernadero de la reducción del dióxido de carbono atmosférico. Las valoraciones ambientales muestran que las tasas de rentabilidad ambientales privadas del Parque Natural Los Alcornocales y de los pinares de la Sierra de Guadarrama alcanzan el 2,13 % y el 3,43 %, con relación a sus precios de mercado de la tierra. Se ha estimado que los valores añadidos totales superan en 1,63 y 3,28 veces a sus valores añadidos convencionales respectivos en el Parque Natural Los Alcornocales y en los pinares de la Sierra de Guadarrama. (shrink)

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Culminada la Guerra Fría, la sociedad global consideró superadas la colisión ideológica y la polarización de teorías. Sin embargo, al finalizar el siglo xx y descollando el siglo xxi surgieron indicios que apuntaban en dirección contraria. Los primeros con el resurgimiento del marxismo que a partir de la tesis humanista de la filosofía de la praxis revive desde Latinoamérica el legado de Mariátegui, el Che Guevara y Camilo Torres R. El artículo se pregunta si el paradigma del marxismo humanista arroga (...) los fundamentos del buen vivir o vivir bien para enfrentar al capitalismo neoliberal y su proyecto desarrollista. La aproximación al tema se hace de manera cualitativa y descriptiva. A través del método de análisis del discurso político expuesto en la teoría crítica al desarrollismo se aborda la caracterización del capitalismo neoliberal y el modelo de desarrollo, continuando con las tesis que desde el marxismo humanista y la estrategia de revolución cultural se estructura para la emancipación en Latinoamérica. Finalmente, se exponen los planteamientos del buen vivir a partir de la apropiación que hacen los neomarxistas para dar la batalla contra el capitalismo neoliberal. (shrink)

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Infertility constitutes an essential source of stress in the individual and couple’s life. The Infertility-Related Stress Scale is of clinical interest for exploring infertility-related stress affecting the intrapersonal and interpersonal domains of infertile individuals’ lives. In the present study, the IRSS was translated into Brazilian–Portuguese, and its factor structure, reliability, and relations to sociodemographic and infertility-related characteristics and depression were examined. A sample of 553 Brazilian infertile individuals completed the Brazilian–Portuguese IRSS, and a subsample of 222 participants also completed the (...) BDI-II. A sample of 526 Italian infertile individuals was used to test for the IRSS measurement invariance across Brazil and Italy. Results of exploratory structural equation modeling indicated that a bifactor solution best represented the structure underlying the IRSS-BP. Both the general and the two specific intrapersonal and interpersonal IRSS-BP factors showed satisfactory levels of composite reliability. The bifactor ESEM solution replicated well across countries. As evidence of relations to other variables, female gender, a longer duration of infertility, and higher depression were associated with higher scores in global and domain-specific infertility-related stress. The findings offer initial evidence of validity and reliability of the IRSS-BP, which could be used by fertility clinic staff to rapidly identify patients who need support to deal with the stressful impact of infertility in the intrapersonal and interpersonal life domains, as recommended by international guidelines for routine psychosocial care in infertility settings. (shrink)

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This perspective paper aims at discussing theoretical principles that could explain how emotion regulation and physical diseases mutually influence each other in the context of borderline personality disorder (BPD). Furthermore, this paper discusses the clinical implications of the functional relationships between emotion regulation, BPD and medical conditions considering dialectical behavior therapy (DBT) as a well-validated therapeutic intervention, which encompasses these issues. The inflexible use of maladaptive emotion regulation strategies (e.g., suppression, experiential avoidance, and rumination) might directly increase the probability of (...) developing physical diseases through a physiological pathway, or indirectly through a behavioral pathway. Some metabolic and chronic medical conditions could significantly impact emotional functioning through biological alterations involved in emotion regulation. Several empirical studies have shown high co-occurrence rates between BPD and several chronic physical diseases, especially ones linked to emotion-based maladaptive behaviors. DBT addresses physical diseases reported by individuals with BPD reducing problematic behaviors functionally associated to emotion dysregulation and identifying physical health as a goal forBuilding a Life Worth Living. (shrink)

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