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)

In this paper I try to establish the relevance of Peirce's Semeiotics to the conceptual foundations of Cognitive Science. Given Cognitive Science's commitment to the Representational Theory of Mind, I try to clarify the nature of mental representation from the standpoint of Peirce's general theory of signs. As it turns out, mental representations, because of their special role as interpretants of non-mental signs, present especial problems for their interpretation, whose solution Peirce anticipated in a way very close to that developed (...) in Cognitive Science. (shrink)

Se trata de una consideraeión de la ultima propuesta teórica de Víctor Sánchez de Zavala para la Pragmatica, desde la perspectiva de sus fundamentos conceptuales, de la filosofia de la mente subyacente. Se repasan sus argumentos para sentirse insatisfecho con el enfoque intencionalista estándar de la Pragmática y se intenta reconstruir su coneepeión alternativa a este respecto, implícita en su nuevo marco teórieo. Lo que aparece, al final es una concepeión dinámica de las relaciones reciprocas entre pensamiento y lenguaje.The aim (...) is to offer an overview of Víctor Sánchez de Zavala’s last theoretical proposal for Pragmatics, from the standpoint of its conceptual foundations, of the underlying philosophy of mind. His criticisms of the standard, intentionalist, approach are revised, and a reconstruction of his alternative view, implicit in his proposal, is advanced. The outcome is a dynamic view of the mutual links between thought and language. (shrink)

En este artículo se pretende analizar hasta qué punto las filosofías de Ortega y Wittgenstein compartirían un horizonte filosófico común. En este sentido se presentan, aunque con matices distintos, los siguientes elementos comunes: el rechazo del realismo metafísico y el cientismo, el abandono de la concepción sustancialista del sujeto, la irrupción en la discusión filosófica del significado o el sentido como algo que necesita comprensión o aclaración, la urgencia de solucionar el problema de la autenticidad.

Currently, testimony is studied extensively in Anglo-American philosophy. However, most of this work is done from a justificationist perspective in which philosophers try to justify our reliance on testimony in some way. I agree with Popper that justificationism is radically mistaken. Thus, I construct an account of how we respond to testimony that in no way attempts to justify our reliance on it. This account is not a straightforward exegesis of Popper, as he never tackled testimony systematically. It makes use, (...) however, of several of Popper's key insights and incorporates them into a viable theory of testimony. Key Words: testimony • anti-justificationism • social epistemology • situational analysis • defeasibility. (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)

The aim of this paper is to give a description of the free algebras in some varieties of Glivenko MTL-algebras having the Boolean retraction property. This description is given (generalizing the results of [9]) in terms of weak Boolean products over Cantor spaces. We prove that in some cases the stalks can be obtained in a constructive way from free kernel DL-algebras, which are the maximal radical of directly indecomposable Glivenko MTL-algebras satisfying the equation in the title. We include examples (...) to show how we can apply the results to describe free algebras in some well known varieties of involutive MTL-algebras and of pseudocomplemented MTL-algebras. (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.

We give a presentation of Post algebras of ordern+1 (n1) asn+1 bounded Wajsberg algebras with an additional constant, and we show that a Wajsberg algebra admits a P-algebra reduct if and only if it isn+1 bounded.

Large exchange markets, big money, interest-bearing credit, big landholdings, proletarian masses, imperial expansion and even ‘capital’ or ‘salaried workers’, are not in themselves specific, unique institutional features of Modern Capitalism. This article argues that the features that characterize Modern Capitalism are a massive emergence of ‘free’, monetized wage labour, a self-propelled rush to unbounded world expansion and the progressive conversion of expropriated and privatized land into a monetized commodity, as well as a radically new use of the ancestral social institutions (...) of money and credit as an instrument for financing the production of commodities to obtain a surplus in the form of monetary profit, but also to generate expropriatory social debt relations. This article explains these dynamic historical forces and their importance for political philosophy and for legal and economic history and economics and sheds some light on the relationship between ‘capitalism’ and ‘modernity’. (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 characterize, classify and axiomatize all axiomatic extensions of the IMT3 logic. This logic is the axiomatic extension of the involutive monoidal t-norm logic given by ¬φ3 ∨ φ. For our purpose we study the lattice of all subvarieties of the class IMT3, which is the variety of IMTL-algebras given by the equation ¬(x 3) ∨ x ≈ ⊤, and it is the algebraic counterpart of IMT3 logic. Since every subvariety of IMT3 is generated by their totally (...) ordered members, we study the structure of all IMT3-chains in order to determine the lattice of all subvarieties of IMT3. Given a family of IMT3-chains the number of elements of the largest odd finite subalgebra in the family and the number of elements of the largest even finite subalgebra in the family turns out to be a complete classifier of the variety generated. We obtain a canonical set of generators and a finite equational axiomatization for each subvariety and, for each corresponding logic, a finite set of characteristic matrices and a finite set of axioms. (shrink)

In this paper we introduce a computational control framework that can keep AI-driven military autonomous devices operating within the boundaries set by applicable rules of International Humanitarian Law (IHL) related to targeting. We discuss the necessary legal tests and variables, and introduce the structure of a hypothetical IHL-compliant targeting system.

Lattice BCK logic is the expansion of the well known Meredith implicational logic BCK expanded with lattice conjunction and disjunction. Although its natural axiomatization has three rules named modus ponens, ∨‐rule and ∧‐rule, we show that we can give an equivalent presentation with just modus ponens and ∧‐rule, however it is impossible to obtain an equivalent presentation with modus ponens as unique rule. In this paper we study and characterize all axiomatic extensions of lattice BCK logic with modus ponens as (...) unique rule. We obtain an infinite chain of proper axiomatic extensions with this property. Moreover, we prove that there is no weakest axiomatic extension of Lattice BCK‐logic admitting modus ponens as unique rule. (shrink)

Empirical studies such as Goyal et al. (J Polit Econ 114(2):403–412, 2006) or Newman (Proc Natl Acad Sci USA 101(Suppl. 1):5200–5205, 2004) show that scientific collaboration networks present a highly unequal and hierarchical distribution of links. This implies that some researchers can be much more active and productive than others and, consequently, they can enjoy a much better scientific reputation. One may think that big intrinsical differences among researchers can constitute the main driving force behind these inequalities. Nevertheless, this model (...) shows that, under specific circumstances, very similar individuals may self-organize themselves forming unequal and hierarchical structures. (shrink)

La meva intenció en les pàgines següents és analitzar la teoria del llenguatge que es troba en el Cràtil de Plató. D'una banda, s'analitza la concepció del significat de les paraules quePlató sembla defensar en aquest diàleg; de l'altra, s'ocupa del problema dels orígens delllenguatge. Aquestes qüestions s'estudien en relació amb la perspectiva ontològica i epistemològicade Plató: essencialisme, teoria de la reminiscència i les tesis dels sofistes sobre laimpossibilitat de parlar amb falsedat. La conclusió és que en el Cràtil podem (...) trobar ja la preparació de la teoria del llenguatge que Plató necessitarà per a la seva ulterior teoria de les idees. (shrink)