1. INTRODUCTIONIt has been some time now since the philosophical community has learned to appreciate Husserl’s contribution to the philosophies of logic, mathematics, and science in general, despite still some prejudices and misinterpretations in certain academic circles incapable of reading Husserl beyond the incompetent and malicious review which Frege wrote in 1894 of his Philosophie der Arithmetik (PA) [1891/2003], hereafter Hua XII.Husserl’s philosophy of mathematics, in particular, has been the subject of many articles and books and has attracted the attention (...) of many interpreters and philosophers who have found in Husserl fruitful ideas with which to tackle the many philosophical problems elicited by mathematics — its ontology, its epistemology, and its somehow surprising utility, even when not indispensable, in modern science. This original and interesting work by Professor Hartimo is a welcome addition to this already respectable bibliography. The book is essentially exegetical and presents a reading of Husserl’s philosophy, particularly his philosophy of mathematics, as found in some of his most important published works, which were reactions to the development of mathematics in his time, of which he was, as the mathematician he used to be, an attentive and well-informed observer. (shrink)

In this paper I discuss the version of predicative analysis put forward by Hermann Weyl in "Das Kontinuum". I try to establish how much of the underlying motivation for Weyl's position may be due to his acceptance of a phenomenological philosophical perspective. More specifically, I analyze Weyl's philosophical ideas in connexion with the work of Husserl, in particular "Logische Untersuchungen" and "Ideen I". I believe that this interpretation of Weyl can clarify the views on mathematical existence and mathematical intuition which (...) are implicit in "Das Kontinuum". (shrink)

I carry out in this paper a philosophical analysis of the principle of excluded middle (or, as it is often called in the version I favor here, principle of bivalence: any meaningful assertion is either true or false). This principle has been criticized, and sometimes rejected, on the charge that its validity depends on presuppositions that are not, some believe, universally obtainable; in particular, that any well-posed problem is solvable. My goal here is to show that, although excluded middle does (...) indeed rest on certain presuppositions, they do not have the character of hypotheses that may or may not be true, or matters of fact that may or may not be the case. These presuppositions have, I claim, a transcendental character. Hence, the acceptance of excluded middle does not necessarily require, as some have claimed, an allegiance to ontological realism or some sort of cognitive optimism, construed as factual theses concerning the ontological status of domains of objects and our capability of accessing them cognitively. DOI:10.5007/1808-1711.2011v15n2p333. (shrink)

In this paper I argue for the view that structuralism offers the best perspective for an acceptable account of the applicability of mathematics in the empirical sciences. Structuralism, as I understand it, is the view that mathematics is not the science of a particular type of objects, but of structural properties of arbitrary domains of entities, regardless of whether they are actually existing, merely presupposed or only intentionally intended.

I carry out in this paper a philosophical analysis of the principle of excluded middle. This principle has been criticized, and sometimes rejected, on the charge that its validity depends on presuppositions that are not, some believe, universally obtainable; in particular, that any well-posed problem is solvable. My goal here is to show that, although excluded middle does indeed rest on certain presuppositions, they do not have the character of hypotheses that may or may not be true, or matters of (...) fact that may or may not be the case. These presuppositions have, I claim, a transcendental character. Hence, the acceptance of excluded middle does not necessarily require, as some have claimed, an allegiance to ontological realism or some sort of cognitive optimism, construed as factual theses concerning the ontological status of domains of objects and our capability of accessing them cognitively. (shrink)

This monograph offers a fresh perspective on the applicability of mathematics in science. It explores what mathematics must be so that its applications to the empirical world do not constitute a mystery. In the process, readers are presented with a new version of mathematical structuralism. The author details a philosophy of mathematics in which the problem of its applicability, particularly in physics, in all its forms can be explained and justified. Chapters cover: mathematics as a formal science, mathematical ontology: what (...) does it mean to exist, mathematical structures: what are they and how do we know them, how different layers of mathematical structuring relate to each other and to perceptual structures, and how to use mathematics to find out how the world is. The book simultaneously develops along two lines, both inspired and enlightened by Edmund Husserl’s phenomenological philosophy. One line leads to the establishment of a particular version of mathematical structuralism, free of “naturalist” and empiricist bias. The other leads to a logical-epistemological explanation and justification of the applicability of mathematics carried out within a unique structuralist perspective. This second line points to the “unreasonable” effectiveness of mathematics in physics as a means of representation, a tool, and a source of not always logically justified but useful and effective heuristic strategies. (shrink)

In the first year of the twentieth century, in Gottingen, Husserl delivered two talks dealing with a problem that proved central in his philosophical development, that of imaginary elements in mathematics. In order to solve this problem Husserl introduced a logical notion, called “definiteness”, and variants of it, that are somehow related, he claimed, to Hilbert’s notions of completeness. Many different interpretations of what precisely Husserl meant by this notion, and its relations with Hilbert’s ones, have been proposed, but no (...) consensus has been reached. In this paper I approach this question afresh and thoroughly, taking into consideration not only the relevant texts and context, as others have also done before, but, more importantly, Husserl’s philosophy, his intuition-based epistemology in particular. Based on a system of clearly defined concepts that I here present, I reinforce an interpretation—definiteness as a form of syntactic completeness—that has, I believe, some advantages vis-à-vis alternative interpretations. It is in conformity with the available texts; it makes clear that Husserl’s notion of definiteness is indeed close to Hilbert’s notions of completeness; it solves the important problem of imaginaries for which it was created; and last, but not least, it fits naturally into Husserl’s system of concepts and ideas. (shrink)

In the first year of the twentieth century, in Gottingen, Husserl delivered two talks dealing with a problem that proved central in his philosophical development, that of imaginary elements in mathematics. In order to solve this problem Husserl introduced a logical notion, called “definiteness”, and variants of it, that are somehow related, he claimed, to Hilbert’s notions of completeness. Many different interpretations of what precisely Husserl meant by this notion, and its relations with Hilbert’s ones, have been proposed, but no (...) consensus has been reached. In this paper I approach this question afresh and thoroughly, taking into consideration not only the relevant texts and context, as others have also done before, but, more importantly, Husserl’s philosophy, his intuition-based epistemology in particular. Based on a system of clearly defined concepts that I here present, I reinforce an interpretation—definiteness as a form of syntactic completeness—that has, I believe, some advantages vis-à-vis alternative interpretations. It is in conformity with the available texts; it makes clear that Husserl’s notion of definiteness is indeed close to Hilbert’s notions of completeness; it solves the important problem of imaginaries for which it was created; and last, but not least, it fits naturally into Husserl’s system of concepts and ideas. (shrink)

In this paper I discuss Husserl's solution of the problem of imaginary elements in mathematics as presented in the drafts for two lectures hegave in Göttingen in 1901 and other related texts of the same period,a problem that had occupied Husserl since the beginning of 1890, whenhe was planning a never published sequel to Philosophie der Arithmetik(1891). In order to solve the problem of imaginary entities Husserl introduced,independently of Hilbert, two notions of completeness (definiteness in Husserl'sterminology) for a formal axiomatic (...) system. I present and discuss these notionshere, establishing also parallels between Husserl's and Hilbert's notions ofcompleteness. (shrink)

In this paper I discuss the version of predicative analysis put forward by Hermann Weyl in Das Kontinuum. I try to establish how much of the underlying motivation for Weyl's position may be due to his acceptance of a phenomenological philosophical perspective. More specifically, I analyze Weyl's philosophical ideas in connexion with the work of Husserl, in particular Logische Untersuchungen} and Ideen.I believe that this interpretation of Weyl can clarify the views on mathematical existence and mathematical intuition which are implicit (...) in Das Kontinuum. (shrink)

Husserl left many unpublished drafts explaining (or trying to) his views on spatial representation and geometry, such as, particularly, those collected in the second part of Studien zur Arithmetik und Geometrie (Hua XXI), but no completely articulate work on the subject. In this paper, I put forward an interpretation of what those views might have been. Husserl, I claim, distinguished among different conceptions of space, the space of perception (constituted from sensorial data by intentionally motivated psychic functions), that of physical (...) geometry (or idealized perceptual space), the space of the mathematical science of physical nature (in which science, not only raw perception has a word) and the abstract spaces of mathematics (free creations of the mathematical mind), each of them with its peculiar geometrical structure. Perceptual space is proto-Euclidean and the space of physical geometry Euclidean, but mathematical physics, Husserl allowed, may find it convenient to represent physical space with a non-Euclidean structure. Mathematical spaces, on their turn, can be endowed, he thinks, with any geometry mathematicians may find interesting. Many other related questions are addressed here, in particular those concerning the a priori or a posteriori character of the many geometric features of perceptual space (bearing in mind that there are at least two different notions of a priori in Husserl, which we may call the conceptual and the transcendental a priori). I conclude with an overview of Weyl’s ideas on the matter, since his philosophical conceptions are often traceable back to his former master, Husserl. (shrink)

I discuss here the pragmatic problem in the philosophy of mathematics, that is, the applicability of mathematics, particularly in empirical science, in its many variants. My point of depart is that all sciences are formal, descriptions of formal-structural properties instantiated in their domain of interest regardless of their material specificity. It is, then, possible and methodologically justified as far as science is concerned to substitute scientific domains proper by whatever domains —mathematical domains in particular— whose formal structures bear relevant formal (...) similarities with them. I also discuss the consequences to the ontology of mathematics and empirical science of this structuralist approach. (shrink)

I discuss here the pragmatic problem in the philosophy of mathematics, that is, the applicability of mathematics, particularly in empirical science, in its many variants. My point of depart is that all sciences are formal, descriptions of formal-structural properties instantiated in their domain of interest regardless of their material specificity. It is, then, possible and methodologically justified as far as science is concerned to substitute scientific domains proper by whatever domains —mathematical domains in particular— whose formal structures bear relevant formal (...) similarities with them. I also discuss the consequences to the ontology of mathematics and empirical science of this structuralist approach. (shrink)

For different reasons, Husserl's original, thought-provoking ideas on the philosophy of logic and mathematics have been ignored, misunderstood, even despised, by analytic philosophers and phenomenologists alike, who have been content to barricade themselves behind walls of ideological prejudices. Yet, for several decades, Husserl was almost continuously in close professional and personal contact with those who created, reshaped and revolutionized 20th century philosophy of mathematics, logic, science and language in both the analytic and phenomenological schools, people whom those other makers of (...) 20th century philosophy, Russell, Frege, Wittgenstein and their followers, rarely, if ever, met. Independently of them, Husserl offered alternatives to the well-trodden paths of logicism, nominalism, formalism and intuitionism. He presented a well-articulated, thoroughly argued case for logic as an objective science, but was not philosophically naive to the point of not seeing the role of subjectivity in shaping the sense of the reality facing objective science. Given the preeminent role that philosophy of logic and philosophy of mathematics have played in transforming the way philosophy has been done since Husserl's time, and given the depth of his insights and his obvious expertise in those fields, his ideas need to be integrated into present-day, mainstream philosophy. Here, philosopher Claire Ortiz Hill and mathematician-philosopher Jairo da Silva offer a wealth of interesting insights intended to subvert the many mistaken idees recues about the development of Husserl's thought and reestablish broken ties between it and philosophy now. (shrink)

Neste artigo, relato os aspectos mais salientes do affair Sokal-Bricmont - uma paródia que evoluiu para uma crítica articulada dos excessos de um certo pensamento pós-modernista - e analiso algumas das reações que suscitou em artigos publicados na Folha de S. Paulo. Termino com algumas reflexões sobre a nefasta negligência para com as ciências exatas na educação em geral e, em particular, na formação dos profissionais das áreas de filosofia e ciências humanas.In this paper I summarize some of the most (...) relevant aspects of the so-called Sokal and Bricmont affair - a parody that evolved to a full-fledged criticism of the excesses of post-modernism - and analyze the reactions it elicited in some articles published in Folha de São Paulo. I close with a reflection on the unfortunate neglect of the exact sciences in education in general and, in particular, the education of philosophers and social scientists. (shrink)

In this paper I show the possibility of an ontology of mathematics that keeps some points in common with platonism and constructivism while diverging from them in other essencial ones. I understand that mathematical objects are simply the referential focus of mathematical discourse, I also understand that their existence is merely intentional but none the less objective, in the sense of being shared by all those who are engaged in the mathematical activity. However, the objective existence of mathematical entities is (...) not secured once and for all but only in so far as the mathematical discourse is consistent. This is the core of the criterium of objective existence put forward and that I believe should sustain a mathematical ontology without the presupposition of the independent existence of a domain of mathematical objects, and without the restrictions imposed on it by constructivism and formalism in their various versions.Neste artigo quero apontar para a possibilidade de uma ontologia da matemática que, mesmo mantendo alguns pontos em comum com o platonismo e com o construtivismo, desliga-se destes em outros pontos essenciais. Por objeto matemático entendo o foco referencial do discurso matemático, ou seja, aquilo sobre o qual a matemática fala. Entendo que a existência destes objetos é meramente intencional, presuntiva, mas, simultaneamente, objetiva, no sentido de ser uma existência comunalizada, compartilhada por todos aqueles engajados no fazer matemático. A existência objetiva das entidades matemáticas não está, entretanto, garantida de uma vez por todas, mas apenas enquanto o discurso matemático for consistente. Este é o espírito do critério de existência objetiva enunciado que, acredito, deve sustentar uma ontologia matemática sem o pressuposto da existência independente de um domínio de objetos matemáticos, sem o empobrecimento que lhe impõem as diferentes versões construtivistas e sem a aniquilação que lhe infringe o formalismo sem objetos. (shrink)

Este artigo procura mostrar que as idéias filosóficas de Husserl não apenas influenciaram o trabalho de alguns dos maiores matemáticos do século XX, mas foram decisivas para aproximarem uma epistemologia das ciências formais de uma fenomenologia do significado.

In this paper I argue for the view that structuralism offers the best perspective for an acceptable account of the applicability of mathematics in the empirical sciences. Structuralism, as I understand it, is the view that mathematics is not the science of a particular type of objects, but of structural properties of arbitrary domains of entities, regardless of whether they are actually existing, merely presupposed or only intentionally intended.

In this paper I argue for the view that the axioms of ZF are analytic truths of a particular concept of set. By this I mean that these axioms are true by virtue only of the meaning attached to this concept, and, moreover, can be derived from it. Although I assume that the object of ZF is a concept of set, I refrain from asserting either its independent existence, or its dependence on subjectivity. All I presuppose is that this concept (...) is given to us with a certain sense as the objective focus of a phenomenologically reduced intentional experience. The concept of set that ZF describes, I claim, is that of a multiplicity of coexisting elements that can, as a consequence, be a member of another multiplicity. A set is conceived as a quantitatively determined collection of objects that is, by necessity, ontologically dependent on its elements, which, on the other hand, must exist independently of it. A close scrutiny of the essential characters of this conception seems to be sufficient to ground the set-theoretic hierarchy and the axioms of ZF. (shrink)

In this paper I argue for the view that the axioms of ZF are analytic truths of a particular concept of set. By this I mean that these axioms are true by virtue only of the meaning attached to this concept, and, moreover, can be derived from it. Although I assume that the object of ZF is a concept of set, I refrain from asserting either its independent existence, or its dependence on subjectivity. All I presuppose is that this concept (...) is given to us with a certain sense as the objective focus of a ”phenomenologically reduced“ intentional experience.The concept of set that ZF describes, I claim, is that of a multiplicity of coexisting elements that can, as a consequence, be a member of another multiplicity. A set is conceived as a quantitatively determined collection of objects that is, by necessity, ontologically dependent on its elements, which, on the other hand, must exist independently of it. A close scrutiny of the essential characters of this conception seems to be sufficient to ground the set-theoretic hierarchy and the axioms of ZF. (shrink)

This article intends to explore the philosophical potency in the work of the black writer Carolina Maria de Jesus (1914-1977). Carolina de Jesus is best known for her work Quarto de Despejo, diary of a favelada (1960), our approach, however, focuses specifically on her short story “Socrates Africano”, in which she deals with her experience with her grandfather Benedito and the relationship between her wisdom and that of the Greek philosopher Sócrates (5th century BC). Her reflection starts from the attempt (...) to understand the reason why her grandfather was compared to Socrates and called “African Socrates”. In this sense, we intend to expand the idea of an African Socrates and the origins of one of the African philosophical matrices, the Yoruba tradition, dialoguing with the thought of the Nigerian philosopher Sophie Oluwole (1935-2018) and her approximation between Socrates and Orunmilá, as a motto to think about the philosophical potentialities of Carolina's work and the traits of an Afro-Brazilian philosophy. (shrink)

Por ocasião do centenário de nascimento de Paul Ricoeur, a Universidade de Coimbra juntou num mesmo volume um conjunto de estudos académicos em tributo a este pensador. Reuniram-se deste modo comunicações de professores, de novos investigadores e de estudantes de doutoramento em redor de temas que marcaram a receção da obra e do filósofo francês em Coimbra. Cada capítulo do presente livro demonstra a fecundidade de um pensamento que, enraizado na “tradição reflexiva”, assumindo a mensagem das “filosofias da existência”, articulando (...) Fenomenologia e Hermenêutica, adquire, hoje, crescente impacto e relevância. Esta é uma filosofia que promove o diálogo entre disciplinas, autores e culturas e supera divisões teóricas em ordem a enfrentar as exigências da praxis. O desafio da praxis fez assim emergir um pensamento exigente e, simultaneamente, capaz de dialogar com diversas áreas do saber como: a psicoterapia, a história, as neurociências, a bioética, as ciências sociais e os estudos literários. At the occasion of the Paul Ricoeur’s centenary this volume joined in tribute several scholars, young researchers, and Ph.D students around the main themes that marked the reception of the philosopher’s work in Portugal and, especially in the University of Coimbra. Each chapter demonstrates the vigour Ricoeur’s thought as it is rooted in the "reflexive tradition", as it assumed the "existentialist" horizon, as it articulated Phenomenology and Hermeneutics. This philosophical project as, today, an enormous range of influence. This is a project that promotes dialogue between disciplines, authors, and cultures, overcoming theoretical divisions in face the demands of praxis. From this rich and plural inspiration comes the ability to meet with other fields of thought, namely psychotherapy, history, neuroscience, bioethics, social sciences, and literary studies. (shrink)

Procuramos apontar as implicações do pensamento pós-moderno para a Educação Física diante do contexto atual de mundialização do capital que vem provocando mudanças significativas no mundo do trabalho. A partir do materialismo histórico e dialético, analisamos o que propõe o pensamento pós-moderno e concluímos que tal pensamento não apresenta avanços no que se refere às necessidades históricas colocadas à Educação Física. Apontamos para a importância do marxismo como ferramenta para compreender os aspectos contraditórios que se apresentam na realidade e transformá-la (...) na direção de interesses coletivos. (shrink)

Resenha do livro de: SILVA, Jairo José da. Filosofias da matemática . Sáo Paulo: Editora UNESP, 2007.

The inclusive churches arise from the need of a minority and excluded group of conventional churches to practice their religiosity in a free and accepted sexual way. Then, we need to ask what the models of institutional structuration in these inclusive churches are, and also the extent to which the ecclesiastical structures can propitiate the ‘mission’ of ‘welcome’ gays, lesbians, transvestite and transsexuals. The research was proposed from bibliographical sources, visiting the cults of Comunidade Cristã Nova Esperança, and the interviews (...) with church leaders and members of this Church. The organizational structure of CCNE is quite similar of the traditional church hindering the welcoming of the church members. (shrink)

This text investigates some difficulties that Semantic Externalism presents for the idea of “self-knowledge” and “first person authority”. I would like to defend that those difficulties originate mainly from the fact that externalist arguments often fall back on mental experiments construed in the perspective of an omniscient narrator. I believe that “self-knowledge” and “first person authority” should be thought of not from the viewpoint of epistemology, but our normal practical capacities to evaluate, ponder, criticize, judge our thoughts, attitudes and actions, (...) especially when we want to give proof, plan something, talk with other people, justify, explain, in short, when we want to offer reasons. (shrink)

Husserl left many unpublished drafts explaining (or trying to) his views on spatial representation and geometry, such as, particularly, those collected in the second part of Studien zur Arithmetik und Geometrie (Hua XXI), but no completely articulate work on the subject. In this paper, I put forward an interpretation of what those views might have been. Husserl, I claim, distinguished among different conceptions of space, the space of perception (constituted from sensorial data by intentionally motivated psychic functions), that of physical (...) geometry (or idealized perceptual space), the space of the mathematical science of physical nature (in which science, not only raw perception has a word) and the abstract spaces of mathematics (free creations of the mathematical mind), each of them with its peculiar geometrical structure. Perceptual space is proto-Euclidean and the space of physical geometry Euclidean, but mathematical physics, Husserl allowed, may find it convenient to represent physical space with a non-Euclidean structure. Mathematical spaces, on their turn, can be endowed, he thinks, with any geometry mathematicians may find interesting. Many other related questions are addressed here, in particular those concerning the a priori or a posteriori character of the many geometric features of perceptual space (bearing in mind that there are at least two different notions of a priori in Husserl, which we may call the conceptual and the transcendental a priori). I conclude with an overview of Weyl’s ideas on the matter, since his philosophical conceptions are often traceable back to his former master, Husserl. (shrink)

Thomas Hobbes é um dos fundadores da moderna concepção de poder político.A instituição do Estado tem no pensador inglês,uma de suas vertentes racionais.O trabalho examina as raízes jusnaturalistas do teórico político ingles e assume a posição de que o legado hobbesiano não é dialetizável. .

A concepção Kantiana do direito e a teoria pura do direito de Kelsen se destacam pela racionalidade com que a respectiva posição normativa é concebida e articulada.A presente contribuição examina o peso teórico que a coercibilidade jurídica adquire em ambas as ciências do direito.O artigo objetiva estabelecer as fronteiras programáticas entre o formalismo jurídico dos dois filósofos do direito.

Research has demonstrated that policing is a stressful occupation and has a negative impact on police officers’ mental and physical health, performance, and interactions with citizens. Mental health at the workplace has become a concern due to the costs of depression, anxiety, burnout, and even suicide, which is high among police officers.To ameliorate occupational health, it is crucial therefore to identify stress and burnout levels on a regular basis. However, the instruments frequently used to measure stress have not valorized the (...) specificity of policing tasks. This study aims: i) conducting a literature review, to identify questionnaires used to assess occupational stress and burnout among police officers; ii) to analyze the psychometric characteristics of a Portuguese version of Operational Police Stress Questionnaire (PSQ-Op); and, using the PSQ-op and other questionnaires, iii) to identify operational stress, burnout, and distress levels among Portuguese police officers. The literature review identified 108 studies, which use a multiplicity of questionnaires to measure burnout or occupational stress among police officers, but few studies use specific police stress questionnaires. Sample sizes were mostly below 500 participants and studies were mainly developed in the last decade in the USA and Brazil, but also in another 24 countries, showing the extent of the interest in this topic. This study applied to 2057 police officers from National Portuguese Police, a force policing urban centers, the PSQ-Op, as well the Spanish Burnout Inventory and the Kessler Psychological Distress Scale.The results show that the psychometric properties of the Portuguese version of PSQ-Op are adequate. Factorial analysis revealed two dimensions defined as social and work issues, which were associated with measures of distress and burnout.Fit indices suggested a second-order solution called operational police stress. Overall, and considering the scale range of each questionnaire, the results showed moderate values of operational stress, distress, and burnout. However, considering their cut-off points, 85% of the sample presented high operational stress levels, 11% critical values for burnout, and 28% high distress levels, with 55% of the sample at risk of psychological disorder. These results reinforce the need to prevent stress and to invest in police officers’ occupational health. (shrink)

In this paper I study the variants of the notion of completeness Husserl pre-sented in “Ideen I” and two lectures he gave in Göttingen in 1901. Introduced primarily in connection with the problem of imaginary numbers, this notion found eventually a place in the answer Husserl provided for the philosophically more im-portant problem of the logico-epistemological foundation of formal knowledge in sci-ence. I also try to explain why Husserl said that there was an evident correlation between his and Hilbert’s notion (...) of completeness introduced in connection with the axiomatisation of geometry and the theory of real numbers when, as many commen-tators have already observed, these two notions are independent. I show in this paper that if a system of axioms is complete in Husserl’s sense, then its formal domain, the manifold of formal objects it determines, does not admit any extension. This is precisely the idea behind Hilbert’s notion of completeness in question. Therefore, the correlation Husserl noted indeed exists. But, in order to see it, we must consider the formal domain determined by a formal theory, not its models. (shrink)

This paper is about the relationship between leadership, organisational morals, and temporality. We argue that engaging with questions of time and temporality may help us overcome the overly agentic view of organisational morals and leadership ethics that dominates extant literature. Our analysis of the role of time in organizational morals and leadership ethics starts from a virtue-based approach to leading large-scale moral endeavours. We ask: how can we account for organizational morality across generations and independently of the leader? To address (...) this question, we studied the leadership model of the Jesuits, a Catholic Religious Order. Our case reveals that a virtue-based model of leadership does not necessarily imply that those who are selected to lead the organization are themselves virtuous, but that the processes underpinning the exercise of leadership are cyclical and repeated as truthfully as possible. Virtuous leadership, for the Jesuits, is therefore about the construction of an ideal type of leadership against which the processes which sustain it were designed. Our theoretical contribution is twofold. First, we propose an habitual understanding of moral forms of leadership, in which the procedural is constitutive of moral forms of organising; second, we explain how “timelessness”, understood as the quality of not changing as years go by, allowed the Jesuits to centre the processes which sustain their ethical model on the repetition, across space and time, of said processes, rather than on their outcome. We conclude that the search for virtue might be more relevant for large-scale moral endeavours than virtue itself. (shrink)

Este artigo analisa os processos de resistência negra em duas comunidades quilombolas, a do Arrojado em Portalegre/RN e a de Queimadas em Currais Novos/RN. A discussão aqui proposta pretende relacionar as ideias de África, exílio e sertão ao contexto da escravidão e do colonialismo e, por conseguinte, compreender os usos e apropriações de categorias identitárias, como quilombolas, dentro de processos políticos de afirmação étnica e do enfrentamento ao racismo. A intenção é discorrer os efeitos da luta pelo reconhecimento étnico na (...) reorganização social e política das referidas comunidades, assim como no recontar ou reescrever uma história que é marcada pela memória da escravidão e por valores, representações e práticas que as vinculam aos seus territórios. Busca-se, portanto, acompanhar a luta política dos quilombolas que visa o reconhecimento identitário e assegurar o exercício da cidadania frente aos aparatos de Estado. Palavras-chaves: escravidão, história, identidade étnica, cidadania e racismo. (shrink)

ENTREVISTA COM PROFESSORAS (ES) DE FILOSOFIA DO ENSINO SUPERIOR DO CEARÁ – BLOCO IICom: Cristiane Maria Marinho, Francisco José da Silva, Camila do Espírito Santo Prado de OliveiraPor: Antônio Alex Pereira de Sousa, Paulo Willame Araújo de Lima.

In his book Chateaubriand points out some differences between the mathematical and the formal notions of proof. I argue here that the contrast between both cannot be exaggerated, and that the latter fails to represent essential aspects of the former. I also sketch a view of the nature of mathematics that can accommodate one particular feature of mathematical proofs the formal notion, by its very nature, cannot: their freedom.Em seu livro, Chateaubriand aponta algumas diferenças entre a noção formal e a (...) noção matemática de demonstração. Eu argumento que o contraste entre ambas não pode ser maior, e que aquela é incapaz de capturar alguns aspectos essenciais desta. Eu apresento também um esboço de uma teoria sobre a natureza da matemática capaz de acomodar um aspecto particular das demonstrações matemáticas que a noção formal, pela sua própria natureza, não pode: a liberdade que por direto cabe àquelas. (shrink)