Given some links between Lyndon’s Interpolation Theorem, term distribution, and Sommers and Englebretsen’s logic, in this contribution we attempt to capture a sense of interpolation for Sommers and Englebretsen’s Term Functor Logic. In order to reach this goal we first expound the basics of Term Functor Logic, together with a sense of term distribution, and then we offer a proof of our main contribution.

En este artículo se presentan dos demostraciones del teorema de interpolación: Una para la lógica proposicional y otra para la lógica de primer orden. Ambas se realizan en el contexto de la teoría de modelos. El teorema de interpolación afirma que si A y B son fórmulas, donde A no es una contradicción, B no es válida, y B es una consecuencia lógica de A, entonces existe una fórmula C que esta escrita en el lenguaje común al de (...) A y de B, tal que C es una consecuencia lógica de A y B es una consecuencia lógica de C. El teorema de interpolación fue demostrado por primera vez para la lógica de primer orden por William Craig en 1957, y desde entonces se ha investigado la posibilidad de generalizarlo o aplicarlo. Dicho teorema tiene generalizaciones o aplicaciones en teoría de la demostración, teoría de modelos abstracta, ciencias de la computación, lógica modal, lógica intuicionista, etc. Se presentan ejemplos de aplicaciones o generalizaciones de la propiedad de interpolación relacionados con lógicas infinitarias, cuantificadores generalizados, segundo orden, no clásicas, abstractas, etc. También se ofrecen referencias de problemas abiertos sobre interpolación en el contexto de la teoría de modelos abstracta. (shrink)

En este trabajo matemático-filosófico se estudian cuatro tópicos de la Lógica matemática: El método de construcción de modelos llamado Ultraproductos, la Propiedad de Interpolación de Craig, las Álgebras booleanas y los Órdenes parciales separativos. El objetivo principal del mismo es analizar la importancia que tienen dichos tópicos para el estudio de los fundamentos de la matemática, desde el punto de vista del platonismo matemático. Para cumplir con tal objetivo se trabajará en el ámbito de la Matemática, de la (...) Metamatemática y de la Filosofía de la matemática. El desarrollo de la investigación arrojó como resultado que tales tópicos son muy importantes para el estudio de los fundamentos de la matemática, desde el punto de vista del platonismo matemático, y en el trabajo se explica detalladamente con abundantes ejemplos el porqué (al final de cada sección y al final del mismo). (shrink)

ABSTRACT:The profound influence of Thomas Donaldson and Thomas Dunfee’s integrative social contracts theory on the field of business ethics has been challenged by Andreas Scherer and Guido Palazzo’s Habermasian approach, which has achieved prominence of late with articles that expressly question the defensibility of ISCT’s hypernorms. This article builds on recent efforts by Donaldson and Scherer to bridge their accounts by providing discursive foundations to the hypernorms at the heart of the ISCT framework. Extending prior literature, we propose an ISCT* (...) framework designed to retain ISCT’s practical virtue of managerial guidance while answering the demands of Scherer and Palazzo’s discursive account. By subscribing to a suitable portfolio of discursively justified hypernorms, we argue, companies unlock the valuable moral guidance of ISCT*, which says to treat these hypernorms as unequivocal outer bounds to the pursuit of business and as a starting point to tailor local norms through discursive stakeholder engagement. (shrink)

Ambiguity in the Western Mind, edited with an Introduction by Craig J. N. de Paulo, Senior Editor, et al. New York: Peter Lang Publishers, 2005. Details: Preface by Joseph Margolis and distinguished contributors include John D. Caputo, Camille Paglia, Jaroslav Pelikan, Roland Teske, S.J. et al.

Augustinian Just War Theory and the Wars in Afghanistan and Iraq: Confessions, Contentions and the Lust for Power,edited by Craig J. N. de Paulo, Senior Editor, et al. New York: Peter Lang Publishing, 2011. Details: A work concerning Augustine’s influence on Christian just war theory and the rhetoric of just war theorists from two symposia in addition to an Augustinian critique of the wars. Preface by Most Rev. Sean Cardinal O’ Malley, O.F.M. Cap., Archbishop of Boston. Foreword by Roland (...) J. Teske, S.J. Chapter One is a brief history of Augustine’s influence on the theory. Chapter Two includes a transcript of a symposium on the topic that includes the following distinguished contributors: Avery Cardinal Dulles, S.J., John D. Caputo, Most Rev. Edwin Cardinal O’Brien, Ambassador Thomas Melady, Col. Jack Jacobs, Dr. Joseph Hagan. Chapter Three includes a transcript of a colloquium on the topic that includes the following distinguished scholars and contributors: Joseph Margolis, Frederick Van Fleteren, Brian Kane, et al. (Advance Praise by James J. O’Donnell and Arthur Waldron.). (shrink)

Confessions of Love: The Ambiguities of Greek Eros and Latin Caritas, edited by Craig J. N. de Paulo, Senior Editor, et al. American University Studies Series, vol. 7: Theology and Religion. New York: Peter Lang Publishers, 2011. Details: Collection of scholarly essays on love. Distinguished contributors include Roland Teske, S.J., Phillip Cary, Leonid Rudntyzky, Bernhardt Blumenthal, et al.

The Influence of Augustine on Heidegger: The Emergence of an Augustinian Phenomenology, edited with an Introduction by Craig J. N. de Paulo Lewiston, NY: The Edwin Mellen Press, 2006. Details: Preface by John Macquarrie and distinguished contributors include Robert Dodaro, O.S.A., Peg Birmingham, Theodore Kisiel, Daniel Dahlstrom, George Pattison, James K. A. Smith, Wayne Hankey and Matthias Fritsch. (Advance Praise by James J. O’Donnell, Jaroslav Pelikan and Joseph Margolis and reviewed in the American Catholic Philosophy Quarterly, vol. 82, Spring (...) 2008, issue no. 2, in article form.) Bishop de Paulo is the founder of "Augustinian phenomenology," a field within phenomenology that merges the Christian existential thought of Augustine with the methodology of Martin Heidegger. (shrink)

El artículo estudia la teoría de la guerra justa, en san Agustín, considerándolo como el fundador de esta teoría, ya que fue el primero en articular los criterios perennes dentro del marco de "ethos" cristiano del amor e igualdad como seres humanos creados a imagen y semejanza del Creador. Trata también del influjo de Agustín en el desarrollo de esta teoría de la guerra justa.

The article examines an 'hermeneutical revival' of Augustine, that is, the philosophical significance of the historical and methodological influence of St. Augustine on Martin Heidegger's Sein und Zeit, and how this is becoming increasingly more evident in the contribution of scholars of phenomenology and patrology to this discussion, especially since 1993.

El artículo trata sobre el 'reavivamiento hermeneútico' de Agustín, es decir, acerca de la significación filosófica que tiene el influjo histórico y metodológico de san Agustín sobre la obra de Martin Heidegger "Sein und Zeit", y cómo esto se ha vuelto más evidente con las aportaciones de fenomenólogos y patrólogos, especialmente a partir de 1993.

An anthology of writings from Plato and Aristotle, including an introductory essay on the history of ancient Greek philosophy and Greek Glossary.

This article argues we can better interpret key aspects of Plato's Phaedo, including Socrates' cryptic final words, if we read the dialogue against the background of Greek manumission. I first discuss modes of manumission in ancient Greece, showing that the frequent participation of healing gods (Apollo, Asklepios, and Sarapis) reveals a conception of manumission as “healing.” I next examine Plato's use of manumission and slavery as metaphors, arguing that Plato uses the language of slavery in two main ways: like real (...) slavery, metaphorical slavery could be good, if it reflected a natural hierarchy, or bad, if it entailed an inversion thereof. Accordingly, metaphorical manumission from good and bad “slavery” are shown to be bad and good, respectively. Finally, I reread Plato's Phaedo, showing that Socrates, a willing “slave” of the gods, seeks the “manumission”/healing of his soul. It is in exchange for his complete “manumission,” attainable only through the death of his body, that Socrates offers a cock to the healing/manumission god Asklepios. (shrink)

By tracing some of the historical and hermeneutical influences of Augustine on Martin Heidegger and his 1927 magnum opus, this article argues that Being and Time has an “Augustinian constitution.” While Heidegger’s philosophical terms are in a certain sense original, many of them have their conceptual origins in Augustine’s Christian thought and in his philosophizing from experience. The article systematically revisits all of Heidegger’s citations of Augustine, which reveals not only the rhetorical influence of Augustine on the organization of Being (...) and Time, but also the fact that the conceptual inspiration of the work and the development of its philosophicalterms are significantly indebted to Augustine. Further, an original synthesis of Heidegger’s methodology with Augustine’s thought on restlessness and conversion is developed in order to demonstrate the philosophical compatibility between Heidegger and Augustine. This synthesis results in what the author considers the foundations for an Augustinian phenomenology. (shrink)

ABSTRACT It is well attested that Francis Bacon considered his History of Winds to be an exemplar, but what lessons should be taken from its example have been subject to debate. Instead of looking at this work as a mere model for the fusion of natural history and natural philosophy, it is also possible to see Bacon as trying to provide tentative solutions to outstanding questions regarding the wind, a topic that was deeply scrutinized during the early modern period. An (...) examination of Bacon’s provisional concluding rules reveals deep correspondences with earlier works, such as José de Acosta’s Natural and Moral History of the Indies, that revised classical understandings of the wind based on experience, experiments, and accounts of travels beyond Europe. Understanding the History of Winds as a genuine attempt to solve outstanding questions about the wind uncovers its debt to earlier traditions, including those related to Renaissance natural history, and shows it’s influence in relation to specific theories of the wind beyond its call for methodological reform. (shrink)

This volume brings together exciting and provocative new feminist readings of famous classic and contemporary texts from Plato to Habermas. The collection also includes examinations of the writings of Mary Wollstonecraft and Simone de Beauvoir that are usually excluded from the works conventionally held to comprise "Western political thought." The essays raise fundamentally important questions about the significance of sexual difference in the great works of political theory and draw attention to neglected arguments and silences in the texts. No single (...) feminist view of either the texts or the theoretical way forward informs these essays. A wide diversity of feminist approaches and theoretical frameworks are represented, forming a rich variety of interpretations and argument about such questions as the patriarchal construction of central political categories, the relation between public and private life, and the problem of equality and difference, including differences among women. This refreshing and stimulating collection will be indispensable for students of political thought and offers all those interested in the connection between the classic writings and current political discussions as accessible introduction to feminist argument. (shrink)

Over 50% of the world population will develop a psychiatric disorder in their lifetime.1 In the realm of psychiatric treatment, two primary modalities have been established: pharmacotherapy and psychotherapy. Yet, pharmacological interventions often take precedence as the initial treatment choice despite their comparable outcomes, severe side effects and disputed evidence of their efficacy. This preference for medication foregrounds a vital re-examination of what it means to be invasive in medical treatments, namely in psychiatric care. De Marco et al challenge the (...) standard account of invasiveness, presenting considerations that transcend the traditional criteria of physical intrusion.2 Through case studies centred on treatments for schizophrenia and depression, we aim to (1) reinforce De Marco et al ’s challenge to the standard account of invasiveness and (2) extend the dialogue to the moral imperative of redefining mental invasiveness. Our aims are to broaden the definition of mental invasiveness, aligning with De Marco et al ’s emphasis on context sensitivity, and to include the severity of side effects as a critical factor in this assessment. Redefining what is considered invasive in psychiatric treatment has profound implications for patient care and medical decision-making. Labelling treatments, namely medications, as invasive encourages both patients and healthcare providers to approach these options with a heightened level of scrutiny and care. This is …. (shrink)

We propose that scientific representation is a special case of a more general notion of representation, and that the relatively well worked-out and plausible theories of the latter are directly applicable to thc scientific special case. Construing scientific representation in this way makes the so-called “problem of scientific representation” look much less interesting than it has seerned to many, and suggests that some of the (hotly contested) debates in the literature are concerned with non-issues.

A obra do Círculo de Bakhtin possui fundamentações jurídicas que derivam da filosofia neokantiana. A obra de Hermann Cohen, Max Scheler e Georg Simmel são de especial importância. Um estudo dessa tradição intelectual leva ao exame de alguns dos trabalhos de Voloshinov, Bakhtin, Pumpianskii e Kagan, e ao destaque da centralidade da pessoa jurídica e das estruturas do julgamento na, agora famosa e influente, teoria bakhtiniana do romance. Tal teoria também possui implicações para teoria social mais ampla, conforme trabalhos recentes (...) têm mostrado. Uma análise de suas fundamentações jurídicas é importante para o entendimento de sua natureza e para a avaliação de sua utilidade para a teoria contemporânea. (shrink)

La práctica de comprar y vender gametos humanos afecta de manera importante la relación que tenemos con nuestro material genético, la medida en que los lazos familiares son creados por la naturaleza y la voluntad humana y el papel que debería desempeñar el mercado en la formación de familias. El presente artículo se centra en dos pre-guntas éticas y de política que surgen cuando la gente forma familias con gametos proporcionados por otras personas. Primero, las personas creadas con gametos donados, (...) ¿deberían poder conocer la identidad de el o los donantes? Segundo, la venta de óvulos y esperma, ¿debería prohibirse, regularse, o dejarse al mercado libre? La autora sostiene que la sociedad debería prohibir tanto el anonimato como el mercado libre de gametos humanos, pues ambos se han desarrollado de modos que no toman en consideración de manera adecuada los intereses del niño o de la sociedad. (shrink)

Aunque muchos lectores de las novelas de Unamuno notan que el estilo de su primera novela, “Paz en la guerra” (1897), es bastante tradicional y que, por consiguiente, difiere mucho del estilo de las novelas que don Miguel escribe después, también tiene elementos que la vinculan claramente sus novelas más tardías. Uno de estos es el manejo del tiempo, el cual hace que el tiempo se detenga y produce lo que Henri Bergson llamaría la “virtualización” del tiempo. El tiempo también (...) se detiene y se virtualiza en otras novelas de Unamuno—en particular, “Niebla”. Por ejemplo, en “Niebla” varias anomalías temporales revelan el deseo de Unamuno de detener el tiempo y eternizar el momento para así escapar la muerte y existir perpetuamente, un deseo también presente en “Paz en la guerra”. Por lo tanto, el presente muestra que, por su manejo particular del tiempo, “Paz en la guerra” se vincula claramente a novelas más experimentales de Unamuno. (shrink)

A obra do Círculo de Bakhtin possui fundamentações jurídicas que derivam da filosofia neokantiana. A obra de Hermann Cohen, Max Scheler e Georg Simmel são de especial importância. Um estudo dessa tradição intelectual leva ao exame de alguns dos trabalhos de Voloshinov, Bakhtin, Pumpianskii e Kagan, e ao destaque da centralidade da pessoa jurídica e das estruturas do julgamento na, agora famosa e influente, teoria bakhtiniana do romance. Tal teoria também possui implicações para teoria social mais ampla, conforme trabalhos recentes (...) têm mostrado. Uma análise de suas fundamentações jurídicas é importante para o entendimento de sua natureza e para a avaliação de sua utilidade para a teoria contemporânea. (shrink)

The standard philosophical project of analysing the concept of knowledge has radical defects in its arbitrary restriction of the subject matter, and its risky theoretical presuppositions. Edward Craig suggests a more illuminating approach, akin to the `state of nature' method found in political theory, which builds up the concept from a hypothesis about the social function of knowledge and the needs it fulfils. Light is thrown on much that philosophers have written about knowledge, about its analysis and the obstacles (...) to its analysis, and on the debate over scepticism. It becomes apparent why many languages not only have such constructions as `knows whether' and `knows that', but also have equivalents of `knows how to' and `know' followed by a direct object. Thus the inquiry is both broadened in scope and made theoretically less fragile. (shrink)

This comprehensive collection of classical sociological theory is a definitive guide to the roots of sociology from its undisciplined beginnings to its current guideposts and reference points in contemporary sociological debate. A definitive guide to the roots of sociology through a collection of key writings from the founders of the discipline Explores influential works of Marx, Durkheim, Weber, Mead, Simmel, Freud, Du Bois, Adorno, Marcuse, Parsons, and Merton Editorial introductions lend historical and intellectual perspective to the substantial readings Includes a (...) new section with new readings on the immediate "pre-history" of sociological theory, including the Enlightenment and de Tocqueville Individual reading selections are updated throughout. (shrink)