In lieu of an abstract, here is a brief excerpt of the content:Isaac Barrow on the Mathematization of Nature: Theological Voluntarism and the Rise of Geometrical OpticsAntoni MaletIntroductionIsaac Newton’s Mathematical Principles of Natural Philosophy embodies a strong program of mathematization that departs both from the mechanical philosophy of Cartesian inspiration and from Boyle’s experimental philosophy. The roots of Newton’s mathematization of nature, this paper aims to demonstrate, are to be found in Isaac Barrow’s (1630–77) philosophy of the mathematical sciences.Barrow’s attitude (...) towards natural philosophy evolved from his earnest interest in medicine of around 1650, when a young Cambridge graduate, to natural philosophy (apparently under Henry More’s influence); from his thesis on the insufficiency of the Cartesian hypothesis to geometrical optics and the strong program of mathematization of natural philosophy of the middle 1660s; from Lucasian professor of Mathematics to Chaplain of his Majesty and eminent Restoration divine. Contemporary accounts of Barrow’s life suggest that he grew ever more skeptical about the worth of natural philosophy and mathematics. 1 In his last years he became a prolific [End Page 265] author of sermons and theological works. Published shortly after his death by John Tillotson (1630–94), later archbishop of Canterbury, they occupy over two thousand folio pages. Overloaded with involved philosophical arguments, Barrow’s sermons were apparently not very popular, but they were highly regarded by scholars and the Anglican hierarchy. 2 It is on certain of his sermons, as well as on the philosophical discussions contained in the Mathematical Lectures that our account of Barrow’s philosophy of the mathematical sciences will rest. 3 Barrow’s understanding of the mathematical sciences will allow us to discuss together three issues often analyzed independently: the theological background to English natural philosophy, the changing notion of mixed mathematical sciences during the seventeenth century, and finally the philosophical foundations of modern geometrical optics.It has long been recognized that significant relationships exist between theological voluntarism or intellectualism and views on natural philosophy. In particular Robert Boyle’s theological voluntarism is seen as grounding his experimentalist approach to natural philosophy. It is not quite so clear, however, how well theological voluntarism may relate to a strong program of mathematization such as the one embodied in Newton’s Principia Mathematica. In fact it has been suggested that the relationship is a negative one. This is derived from the necessary character of mathematical laws, which would put unwanted restrictions on God’s absolute dominion over nature, and also from the notion that theological intellectualism is conducive to a deductive, a priori science—the paradigm of which is of course geometry. However, Barrow’s theological voluntarism lead him to heighten the role of mathematics within natural philosophy.During the seventeenth century the so-called mixed or subalternate mathematical sciences changed profoundly. In the Enlightenment mixed mathematics—meaning above all rational mechanics—became one of the most prestigious and influential disciplines. The mixed mathematics of the Enlightenment, however, was markedly different from the Aristotelian [End Page 266] mixed mathematical sciences. The differences are noticeable both in the subject matter and in the substitution of mathematical infinitesimal analysis for geometrical synthesis, but also in the way of grounding mathematical theory on empirical evidence. Barrow’s Mathematical Lectures (delivered at Cambridge from 1664 to 1666) offer a fresh insight into the metamorphosis of these sciences just when Newton’s “mathematical principles” were in the making. Not the least interesting feature of Barrow’s discussion is that God’s omnipotence allows an evaluation of the truth of mathematical theories that do not apply to this world. Therefore, Barrow is led to introduce the distinction between the internal consistency, or mathematical truth, of a mathematical theory and its physical truth. This, in turn, leads him to the notion that theories need testing.Barrow on Matter and GodRecent literature has established significant correlations between theological voluntarism and empiricism, as well as between theological intellectualism and rationalism. As E. B. Davis writes, “the Christian doctrine of creation is a dialogue between God’s unconstrained will, which utterly transcends the bounds of human comprehension, and God’s orderly intellect, which serves as the model for the human mind.” Intellectualist theology considers God’s omniscience His... (shrink)

The present article commences analyzing the origins and influences of the religious discourse on the configuration of the modern constitutional discourse and the contributions of the jus-positivism in the consolidation of this sacred-civil language. The second issue is the definition of the U.S. Constitution as a mixed and not as a democratic constitution, with regard to the influences of Plato, Aristotle, Cicero and Polybius to the Drafters of the first modern constitutional text; stability and equilibrium took preference over democracy in (...) a wide sense. I also analyze how the Drafter’s decision has conditioned the modern constitutional system up to the present. (shrink)

(1990). Ecological renaissance—the first milestone on the way to the United Europe. World Futures: Vol. 29, The Future of European Integration, pp. 174-181.

A cross-cultural analysis of trust and cooperation networks in Northern Ghana (NGHA) and Oaxaca (OAX) was carried out by means of ego networks and interviews. These regions were chosen because both are inhabited by several ethnic groups, thus providing a good opportunity to test the cultural group selection hypothesis. Against the predictions of this approach, we found that in both regions cooperation is grounded in personal trust groups, and that social cohesion depends on these emotional bonds. Moreover, in agreement with (...) Fiske's notion of “evolved proclivities”, we also found two distinct kinds of trust networks, one for each region, which vary in terms of the degree of ethnic interrelation. This pattern suggests that social cohesion increases when environmental resources are scarce. (shrink)

In this paper we discuss Prinz’s Kantian arguments in “Is Empathy Necessary for Morality?”. They purport to show that empathy is not necessary for morality because it is not part of the capacities required for moral competence and it can bias moral judgment. First, we show that even conceding Prinz his notions of empathy and moral competence, empathy still plays a role in moral competence. Second, we argue that moral competence is not limited to moral judgment. Third, we reject Prinz’s (...) notion of empathy because it is too restrictive, in requiring emotional matching. We conclude that once morality and empathy are properly understood, empathy’s role in morality is vindicated. Morality is not reduced to a form of rational judgment, but it necessarily presupposes pro-social preferences and motivation and sensitivity to inter-subjective demands. (shrink)

Building on the discussion between Stephen Darwall and Michael Tomassello, we propose an alternative evolutionary account of moral motivation in its two-pronged dimension. We argue that an evolutionary account of moral motivation must account for the two forms of moral motivation that we distinguish: motivation to be partial, which is triggered by the affective relationships we develop with others; and motivation to be impartial, which is triggered by those norms to which we give impartial validity. To that aim, we present (...) the second-person standpoint of morality, first as Darwall conceives of it, and then as we reinterpret it from a naturalistic approach. Then we synthesize Tomasello’s evolutionary account of morality, and Darwall’s objections to it. To reply to those objections, building on Tomasello’s proposal, we argue that the motivation to be impartial, and the feeling of obligation to comply with normative requirements, appeared when humans anticipated and, critically, internalized others’ sanctions to the violation of social norms. Consequently, we posit that social norms and sanctions appeared first at the community level, and only after that were they internalized in the form of self-directed reactive attitudes. Finally, we derive some corollaries that follow from our proposal. (shrink)

Bartley’s pancritical rationalism is seen by some as being a refinement of Popper’s critical rationalism. I contest this view and argue that pancritical rationalism is obtained from critical rationalism by removing some of its most important and useful features. The remainder consists of a restatement of some of Popper’s key ideas and an interpretation of others that I attempt to show is not entirely faithful to what Popper says.

L’article passe en revue le développement de l’histoire des femmes au Moyen Âge en Espagne depuis ses origines, la fin des années 1970, et discute l’influence que les thèses de Georges Duby ont exercée sur elle. Il relève que les regards venus de l’étranger ont contribué à discréditer et faire abandonner les préoccupations nationalistes qui avaient longtemps obsédé l’historiographie autochtone jusque dans la façon d’envisager et représenter les femmes. Le long et fécond parcours de l’histoire des femmes dans les vingt (...) dernières années est alors examiné, depuis l’orientation fondamentalement juridique et positiviste qui a marqué ses débuts jusqu’aux recherches récentes sur l’identité et la subjectivité féminines ou aux polémiques sur le pouvoir des femmes et leur participaton à la vie politique. La portée des thèses de G. Duby dans cette évolution ainsi que les critiques qu’elles se sont attirées sont finalement considérées. (shrink)

We show that externalization is a feature not only of moral judgment, but also of value judgment in general. It follows that the evolution of externalization was not specific to moral judgment. Second, we argue that value judgments cannot be decoupled from the level of motivations and preferences, which, in the moral case, rely on intersubjective bonds and claims.

This paper deals with Hobbes's theory of optical images, developed in his optical magnum opus, ‘A Minute or First Draught of the Optiques’, and published in abridged version in De homine. The paper suggests that Hobbes's theory of vision and images serves him to ground his philosophy of man on his philosophy of body. Furthermore, since this part of Hobbes's work on optics is the most thoroughly geometrical, it reveals a good deal about the role of mathematics in Hobbes's philosophy. (...) The paper points to some difficulties in the thesis of Shapin and Schaffer, who presented geometry as a ‘paradigm’ for Hobbes's natural philosophy. It will be argued here that Hobbes's application of geometry to optics was dictated by his metaphysical and epistemological principles, not by a blind belief in the power of geometry. Geometry supported causal explanation, and assisted reason in making sense of appearances by helping the philosopher understand the relationships between the world outside us and the images it produces in us. Finally the paper broadly suggests how Hobbes's theory of images may have triggered, by negative example, the flourishing of geometrical optics in Restoration England. (shrink)

A partir de la definición de la globalización neoliberal como un localismo occidental globalizado, expresión de un nuevo tipo de imperialismo cultural, el objetivo principal de este artículo es el de llevar a cabo una exposición analítica de la propuesta de traducción intercultural e interpolítica d..

Tomando como marco de referencia las aportaciones teóricas de la epistemología del Sur de Boaventura de Sousa Santos, el objetivo principal de este artículo es el de revisar críticamente algunas de las modernas concepciones lineales y homogeneizantes del tiempo y la historia, concretamente la filosofía ilustrada del progreso, la teleología eurocéntrica de Hegel y el finalismo histórico neoconservador del primer Fukuyama. Con este propósito, el artículo plantea un nuevo enfoque de la relación entre pasado, presente y futuro desde la perspectiva (...) crítica, emancipadora y poscolonial de la sociología de las ausencias y de las emergencias propuesta por el teórico social portugués. (shrink)

En este artículo se analiza cuál pudo haber sido la antropología filosófica del segundo Wittgenstein. La conclusión es que, para el Wittgenstein maduro, los seres humanos son animales expresivos, simbólicos, intencionales, creativos, rituales y ubicados que, a partir de su naturaleza común pero a través socializaciones divergentes, crean significaciones,instituciones, reglas, es decir, realidades intensionales, mundos.

This book is a unique exploration of the idea of the "second person" in human interaction, the idea that face-to-face interactions involve a distinctive form of reciprocal mental state attributions that mediates their dynamical unfolding. Challenging the view of mental attribution as a sort of "theory of mind", Pérez and Gomila argue that the second person perspective of mental understanding is the conceptually, ontogenetically, and phylogenetically basic way of understanding mentality. Second person interaction provides the opportunity for the acquisition of (...) concepts of mental states of increasing complexity. The book reviews the growing interest in a variety of second person phenomena, both in development and in adulthood, presenting research that shows how participants in human interaction attribute psychological states of a referentially transparent kind to each other. This review documents the spontaneous preference for face-to-face interaction, from eye contact to joint attention, from forms of vitality to communicative intentions, from interaction detection to joint action, and from synchrony to interpersonal coordination. Also looking at the implications and applications of the second person perspective within fields as diverse as art and morality, this book is fascinating reading for students and academics in social and cognitive psychology, cognitive science, neuroscience, and philosophy. (shrink)

There is an uncanny unanimity about the founding role of Kepler's Dioptrice in the theory of optical instruments and for classical geometric optics generally. It has been argued, however, that for more than fifty years optical theory in general, and Dioptrice in particular, was irrelevant for the purposes of telescope making. This article explores the nature of Kepler's achievement in his Dioptrice . It aims to understand the Keplerian 'theory' of the telescope in its own terms, and particularly its links (...) to Kepler's theory of vision. It deals first with Kepler's way to circumvent his ignorance of the law of refraction, before turning to Kepler's explanations of why lenses magnify and invert vision. Next, it analyses Kepler's account of the properties of telescopes and his suggestions to improve their designs. The uses of experiments in Dioptrice , as well as the explicit and implicit references to della Porta's work that it contains, are also elucidated. Finally, it clarifies the status of Kepler's Dioptrice vis-à-vis , classical geometrical optics and presents evidence about its influence in treatises about the practice of telescope making during roughly the first two-thirds of the seventeenth century. (shrink)

In this paper, we take Darwall’s analytical project of the second-person standpoint as the starting point for a naturalistic project about our moral psychology. In his project, Darwall contends that our moral notions constitutively imply the perspective of second-personal interaction, i.e. the interaction of two mutually recognized agents who make and acknowledge claims on one another. This allows him to explain the distinctive purported authority of morality. Yet a naturalized interpretation of it has potential as an account of our moral (...) psychology. We propose a naturalistic interpretation of Darwall’s work to address some of the main issues about our moral psychology. First, we explain why moral norms motivate us; namely, because of these second-personal relations. We provide a naturalized version of this solution. Second, we articulate how intersubjective interactions take place effectively; grounding duties to particular other subjects, and being related to distinctive moral emotions. Third, we address the question of the limits of the moral community, proposing that it comprises all agents capable of second-personal interactions. Finally, we explain the emergence of community norms through intersubjective interaction. Since all group members can adopt alternatively the second-personal stance to each other, demands are sanctioned and recognized in a triangulation process which explains the emergence of group norms. (shrink)

In this paper we prove that the equational class generated by bounded BCK-algebras is the variety generated by the class of finite simple bounded BCK-algebras. To obtain these results we prove that every simple algebra in the equational class generated by bounded BCK-algebras is also a relatively simple bounded BCK-algebra. Moreover, we show that every simple bounded BCK-algebra can be embedded into a simple integral commutative bounded residuated lattice. We extend our main results to some richer subreducts of the class (...) of integral commutative bounded residuated lattices and to the involutive case. (shrink)

Summary José María Albareda (1902–1966) was an applied chemist and a prominent member of the Roman Catholic organization, Opus Dei, who played a crucial role in organizing the Consejo Superior de Investigaciones Científicas (CSIC), the new scientific institution created by the Franco regime in 1939. The paper analyses first the formative years in Albareda's scientific biography and the political and social context in which he became an Opus Dei fellow. Then it discusses the CSIC's innovative features compared with the Junta (...) para Ampliación de Estudios (JAE), the institution in charge of scientific research and science policy in Spain from 1907 up to the Civil War (1936–1939). Next it goes into Albareda's ideas about science and science policy. Finally, it shows how they shaped the organization of the CSIC, of which Albareda was the General Secretary from 1939 to his untimely death in 1966. (shrink)

The classical Glivenko theorem asserts that a propositional formula admits a classical proof if and only if its double negation admits an intuitionistic proof. By a natural expansion of the BCK-logic with negation we understand an algebraizable logic whose language is an expansion of the language of BCK-logic with negation by a family of connectives implicitly defined by equations and compatible with BCK-congruences. Many of the logics in the current literature are natural expansions of BCK-logic with negation. The validity of (...) the analogous of Glivenko theorem in these logics is equivalent to the validity of a simple one-variable formula in the language of BCK-logic with negation. (shrink)

This paper is an essay-review of J. Yoder's "Unrolling Time: Christian Huygens and the Mathematization of Nature" (Cambridge, 1989). Highlighting the scholarly thoroughness and mathematical competence of Yoder's reconstruction of Huygens's heuristic path to his ground-breaking results on centrifugal force, cycloidal motion and evolutes, the essay also deals with Yoder's attempts to characterize Huygens's way of using mathematics in physical problems. In opposition to Yoder's thesis, this paper argues that evidence internal to Huygens's work as well as the contemporary reaction (...) to it suggest the existence of substantial methodological differences between Huygens's mathematization of nature and Newton's. (shrink)