[ES] En recientes décadas se ha observado un renovado interés por algunos de los temas clásicos de la ontología, desde áreas de conocimiento externas a la filosofía, sin embargo, este renacimiento ontológico ha «estimulado» una multiplicidad y diversidad de teorías y concepciones «ontológicas» que ha dado como consecuencia una proliferación de «ontologías» y de interminables batallas para determinar qué tipo de «entidades» estudian sus respectivos «dominios», que a su vez se consideran autónomos e independientes entre sí, inclusive de la propia (...) ontología. En este sentido, el propósito de este trabajo es caracterizar y representar de manera adecuada estas «ontologías», dentro del marco general del debate acerca de la naturaleza de la ontología. Es así que, en la primera sección haré un diagnostico de la ontología contemporánea; en la segunda proporcionaré algunas definiciones y caracterizaciones de las principales concepciones, en especial de las denominadas «ontologías aplicadas»; y en la tercera analizaré sí estas concepciones pueden ser consideradas diversos tipos de ontología o simplemente son diversos niveles de ontología. El marco de la discusión no se centrará en confrontar todas estas nociones, sino en describirlas y analizarlas para ofrecer un enfoque sobre el estado actual de la ontología y sus problemas. [EN] In recent decades there has been a renewed interest in some of the classic themes of ontology, from areas of knowledge external to philosophy; however, this ontological revival has «stimulated» a multiplicity and diversity of «ontological» theories and concepts that has resulted in a proliferation of «ontologies» and endless battles to determine what kind of «entities» study their respective «domains», which in turn are considered autonomous and independent, even of ontology itself. In this sense, the purpose of this work is to adequately characterize and represent these «ontologies», within the general framework of the debate about the nature of ontology. Thus, in the first section I will make a diagnosis of contemporary ontology; in the second I will provide some definitions and characterizations of the main concepts, especially the so-called «applied ontologies»; and in the third I will analyze whether these concepts can be considered different types of ontology or simply are different levels of ontology. The framework of the discussion will not center on confronting all these notions, but to describe and analyze them to provide a focus on the current state of ontology and its problems. (shrink)

The work of mathematician and logician Alfred Tarski (1901--1983) marks the transition from substantial to deflationary views about truth.

It’s constitutive of classical theism that there is a necessarily existent personal god who is also the creator of the universe, where the latter claim includes at least the following three theses: (i) God is wholly distinct from the natural world; (ii) God is the originating or sustaining cause of the natural world; and (iii) God created the natural world ex nihilo, i.e., without the use of pre-existing materials. Call this tripartite component of classical theism the classical view of creation. (...) In this paper, I offer a new argument against classical theism. In particular, I argue that creation ex nihilo is prima facie impossible, and that since the doctrine of creation ex nihilo is constitutive of classical theism, classical theism is false. (shrink)

Building on the seminal work of Kit Fine in the 1980s, Leon Horsten here develops a new theory of arbitrary entities. He connects this theory to issues and debates in metaphysics, logic, and contemporary philosophy of mathematics, investigating the relation between specific and arbitrary objects and between specific and arbitrary systems of objects. His book shows how this innovative theory is highly applicable to problems in the philosophy of arithmetic, and explores in particular how arbitrary objects can engage with (...) the nineteenth-century concept of variable mathematical quantities, how they are relevant for debates around mathematical structuralism, and how they can help our understanding of the concept of random variables in statistics. This fully worked through theory will open up new avenues within philosophy of mathematics, bringing in the work of other philosophers such as Saul Kripke, and providing new insights into the development of the foundations of mathematics from the eighteenth century to the present day. (shrink)

Even though disquotationalism is not correct as it is usually formulated, a deep insight lies behind it. Specifically, it can be argued that, modulo implicit commitment to reflection principles, all there is to the notion of truth is given by a simple, natural collection of truth-biconditionals.

In this article, we reflect on the use of formal methods in the philosophy of science. These are taken to comprise not just methods from logic broadly conceived, but also from other formal disciplines such as probability theory, game theory, and graph theory. We explain how formal modelling in the philosophy of science can shed light on difficult problems in this domain.

The logician Kurt Godel in 1951 established a disjunctive thesis about the scope and limits of mathematical knowledge: either the mathematical mind is equivalent to a Turing machine (i.e., a computer), or there are absolutely undecidable mathematical problems. In the second half of the twentieth century, attempts have been made to arrive at a stronger conclusion. In particular, arguments have been produced by the philosopher J.R. Lucas and by the physicist and mathematician Roger Penrose that intend to show that the (...) mathematical mind is more powerful than any computer. These arguments, and counterarguments to them, have not convinced the logical and philosophical community. The reason for this is an insufficiency if rigour in the debate. The contributions in this volume move the debate forward by formulating rigorous frameworks and formally spelling out and evaluating arguments that bear on Godel's disjunction in these frameworks. The contributions in this volume have been written by world leading experts in the field. (shrink)

[ES] Nicolai Hartmann es uno de los filósofos más significativos en la filosofía contemporánea; empero, en la actualidad es poco conocido por nuestro mundo filosófico, posiblemente debido a que el esplendor de su filosofía coincidió con el naciente giro lingüístico y con el apogeo del existencialismo, los cuales, como se sabe, absorbieron gran parte de la atención y del quehacer filosófico de la época. Lo anterior, de una u otra manera ha dificultado el conocimiento objetivo de su obra. Es por (...) este motivo, que en este breve trabajo, me propongo presentar en forma esquemática una apostilla sobre su vida y su obra —y no una biografía completa—, que nos permita sentar las bases histórico-filosóficas para una primera aproximación a algunas de sus preocupaciones filosóficas. Esta aproximación se completa, en la parte final del trabajo, con una breve relación bibliográfica de algunos estudios introductorios a su vida y obra. [EN] Nicolai Hartmann is one of the most significant philosophers in contemporary philosophy; however, today is little known by our philosophical world, possibly because the splendor of his philosophy coincided with the nascent linguistic turn and the heyday of existentialism, which, as is known, absorbed much of the attention and philosophical work of the time. This, in one way or another has hindered the objective knowledge of his work. It is for this reason that in this short paper, I intend to present in schematic form a commentary on his life and his work —and not a full biography—, that allows us to lay the historical and philosophical foundations for a first approach to some of its philosophical concerns. This approach is completed at the end of the work, with a brief bibliographical note with some introductory studies to his life and work. (shrink)

We combine two recent probabilistic approaches to natural language understanding, exploring the formal pragmatics of communication on a noisy channel. We first extend a model of rational communication between a speaker and listener, to allow for the possibility that messages are corrupted by noise. In this model, common knowledge of a noisy channel leads to the use and correct understanding of sentence fragments. A further extension of the model, which allows the speaker to intentionally reduce the noise rate on a (...) word, is used to model prosodic emphasis. We show that the model derives several well-known changes in meaning associated with prosodic emphasis. Our results show that nominal amounts of actual noise can be leveraged for communicative purposes. (shrink)

This article gives an epistemological analysis of the reflection process by means of which you can come to know the consistency of a mathematical theory that you already accept. It is argued that this process can result in warranted belief in new mathematical principles without justifying them.

Telic monism in logic is the thesis that there is one single philosophically primary goal to logic. A different way to put it is that there is only one canonical application to logic. This thesis is widely present—implicitly or more explicitly—in the literature on the philosophy of logic, yet has not been examined nor argued for extensively. In this paper I will present and critically examine telic monism. One prominent candidate for the canonical application of logic, namely the formal codification (...) of logical consequence in natural language, will be challenged directly. The critique will then be generalized by appealing to a practice-based philosophy of logic. The general argument I put forth here claims that we have no principled reason to assume there to be just one primary goal to logic. Rather, I claim that it is more plausible that there actually is a variety of goals, purposes and applications to logic, without one of them enjoying primacy over the others. If this argument succeeds, at least one of the consequences is that it allows for a kind of logical pluralism that has previously been deemed insignificant, namely logical instrumentalism. (shrink)

[ES] En este trabajo, ofreceré una reconstrucción sucinta de los argumentos sobre el significado de la noción de mundo del arte, así como de sus implicaciones en la ontología del arte. En primer lugar, describiré de manera esquemática los principios básicos de la noción de mundo del arte de Danto, y a partir de estos principios delinearé su influencia en la teoría institucional del arte de George Dickie. Sobre esta base, apoyado en la crítica al rol de la teoría en (...) estética de Morris Weitz, intentaré evidenciar las dificultades de lo que se ha dado en llamar la teoría institucional del arte al momento definir lo que es el arte. En la parte final del trabajo, presentaré algunas sugerencias que podrían tomarse en consideración al momento de abordar la relación entre el mundo del arte y la ontología del mundo del arte. [EN] In this paper, I will offer a succinct reconstruction of the arguments about the meaning of the notion of the world of art, as well as its implications in the ontology of art. First, I will outline the basic principles of Danto's notion of the art world, and from these principles I will outline its influence on George Dickie's institutional theory of art. On this basis, supported by Morris Weitz's critique to the role of the theory of aesthetics, I will try to highlight the difficulties of what has been called the institutional theory of art at the moment of defining what art is. In the final part of the paper, I will present some suggestions that could be taken into account when considering the relation between the world of art and the artworld ontology. (shrink)

Excerpt from La Théorie Platonicienne des Idées Et des Nombres d'Après Aristote: Étude Historique Et Critique La théorie phtonioionno de l'amour. Vol. Ia-8 de la Collection historique des grands philosophes 3 fr. 75. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the (...) aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works. (shrink)

El proceso de aprehensión de lo cognoscible, en la filosofía contemporánea, ha sido tratado desde diversas perspectivas, entre ellas la fenomenológica y la analítica. Cada una de estas perspectivas aportan unos presupuestos filosóficos y procesos metodológicos que nos proporcionan marcos de trabajo para indagar en las vías de aprehensión del conocimiento; sin embargo, empleadas por separado son insuficientes y limitadas. En absoluto se trata de procurar un método universal, sino de integrar e indagar sobre diversos presupuestos, procesos, patrones y estructuras (...) para avanzar en la indagación de la aprehensión del conocimiento. En este sentido, en la primera parte, abordaremos la necesidad de tener reglas (definitorias y estratégicas) para ser parte y avanzar en cualquier «juego», en especial el del conocimiento. En la segunda y tercera, describiremos los «métodos» desarrollados por José Ferrater Mora (operaciones filosóficas) y Nicolai Hartmann (pensar sistemático), los que pueden ser un punto de partida, vías a considerar en este proceso. En la parte final, a modo de contraste, se ofrece en un gráfico un esquema metodológico de los dos métodos analizados. (shrink)

[ES] Este trabajo, realiza una sumarísima revisión histórica, a través de algunas conjeturas epistemológicas, sobre las reflexiones filosóficas acerca del mundo del arte, su estatuto, desarrollo y «funcionamiento» con el propósito de allanar el camino para una ulterior descripción de la problemática acerca de la noción del mundo del arte. [EN] This writing makes a brief historical review, through some epistemological assumptions, on the philosophical reflections on the art world, its status, development and «functioning» in order to pave the way (...) for a further description of the problems about the notion of the art world. (shrink)

[ES] En este trabajo propedéutico, a través de los propios textos de Kant, intentaré ofrecer una descripción equilibrada y una reconstrucción sucinta de los argumentos que ofrece Kant acerca de la posibilidad e imposibilidad de la metafísica. En primer lugar presentaré algunas críticas a la metafísica, luego visualizaré la noción kantiana de metafísica, así como sus razones y momentos constitutivos; y finalmente, analizaré que tipo de conocimiento es la metafísica y las características y naturaleza de esta para que sea viable (...) dicha «ciencia». Para realizar este cometido, asumiré la hipótesis de que la metafísica para Kant, en correspondencia con la resolucion de la tercera cuestion del conocimiento, es una ciencia que integra razón práctica y teórica en un sistema universal que busca la transcendencia. Si la metafísica tiene alguna posibilidad, ésta probablemente sería la vía. [EN] In this propaedeutic work, through Kant’s own texts, I will try to offer a balanced description and a succinct reconstruction of Kant’s arguments about the possibility and impossibility of Metaphysics. In the first place I will present some criticisms of Metaphysics, then I will visualize the Kantian notion of Metaphysics, as well as its constitutive reasons and moments; and finally, I will analyze what kind of knowledge is Metaphysics and the characteristics and nature of it, so that this «science» is viable. In order to carry out this task, I will assume the hypothesis that Kant’s Metaphysics, in correspondence with the resolution of the third question of knowledge, is a science that integrates practical and theoretical reason into a universal system that seeks transcendence. If Metaphysics has any chance, this would probably be the way. (shrink)

This article presents a reconstruction of the scientific policies established in Ecuador in the years between 1979 and 2007. The purpose is double: on the one hand, it seeks to understand the process of institutionalization of the System of Science and Technology, on the other hand analysing the achievements of three scientific policies established during this period. Hence, the reconstruction is split into three stages: from 1979 to 1994 when the first scientific policy was in place; from 1994 to 2004 (...) the second policy; and between 2005 and 2007 the third policy. To obtain the objective, some of the most relevant normative aspects during each stage are reviewed, as well as institutional statistical records related to Science and Technology. (shrink)

The so-called “disquotational theory of truth” has not previously been developed much beyond the thesis that saying, for example, that ‘Snow is white’ is true amounts only to saying that snow is white. Marian David has set out to see what further sense can be made of the disquotational theory, and to compare its merits with those of correspondence theories of truth. His prognosis is that an intelligible disquotational theory of truth can be developed but will suffer from drastic shortcomings (...) that make it all but unusable. (shrink)

La noción de mundos posibles, sostiene que nuestro mundo es un mundo entre otros, un subconjunto de todas las cosas que existen. Esto implica aceptar que existen mundos estructuralmente equivalentes con sus propios lenguajes [formales], que entre sí no tienen ningún estatuto privilegiado, p.e., el mundo y lenguaje del arte o el mundo y lenguaje de la física; no obstante, la idea de aceptar otros mundos equivalentes como mundos posibles epistémica y ontológicamente legítimos para acceder y expresar lo cognoscible del (...) mundo no goza de gran aceptación. En este sentido, de entre las múltiples dimensiones de la noción de mundos posibles anotada, su dimensión lógica, es una de las más extendidas, ésta se entiende como un posible estado de cosas o un posible curso de eventos. Empero, esta concepción es la más restrictiva de la noción de mundos posibles, no sólo porque dicha noción transmuta en una especie de «técnica predictiva» que nos permite analizar y visualizar posibles escenarios de un estado de cosas o un curso de eventos, sino porque fundamentalmente, la noción de mundos posibles pierde gran parte de su potencia conceptual. Hablar de proposiciones como conjuntos de mundos posibles, no es un error, pero es limitar innecesariamente el alcance y campo de acción de la noción de mundos posibles. Si entendemos dicha noción en la versión primaría de Lewis [«Nuestro mundo actual es sólo un mundo entre otros»], sería plausible recuperar, entre otras, las dimensiones ontológica y epistémica de la noción de mundos posibles, y por ende la posibilidad objetiva de indagar en formas alternativas y legitimas de acceder y expresar lo cognoscible del mundo; en este sentido, en este trabajo me propongo: (1) retomar la noción primaria de mundos posibles de Lewis, para analizar y explicitar brevemente sus limitaciones, virtudes y requerimientos; (2) examinar las condiciones de posibilidad de un mundo; y, (3) sugerir los lineamientos epistémicos que deberían considerarse y explicitarse cuando se habla de y desde un mundo posible a la hora de expresar un enunciado. (shrink)

El presenta trabajo describe y caracteriza de manera breve y concisa lo que podría ser una ontología del arte. En la primera sección se presentan las dificultades actuales, así como las nociones y preguntas principales de la ontología. En la sección segunda, se bosquejan las definiciones y caracterizaciones actuales de la ontología, se hace especial hincapié, en la ontología aplicada. En la tercera, cuarta y quinta sección se caracteriza y configura lo que podría ser una ontología del arte, se evidencian (...) sus limitaciones así́ como sus perspectivas y trazabilidad para hacer viable dicha ontología; adicionalmente se abordan los aportes del realismo anglosajón a la cuestión. El propósito de esta caracterización es hacer evidente que es plausible dar un tratamiento integral al problema de la realidad y su configuración y desarrollo en los mundos regionales, como, el mundo del arte. (shrink)

Aristotle, in his Metaphysics, not only tries to establish a relationship that is direct, coherent, inter-operational and "precise" between this science, its name as a science, and its object of study, but also begins an indignation that tries to set a science — materially adequate and formally correct — to study τὸ ὂν ᾗ ὂν. In order to complete this task, Aristotle does an in-focus strategy that consists on the diffusion of τὸ ὄν in its categories, that allows Aristotle the (...) possibility of formulate a science ἐπιστήμη to study τὸ ὂν ᾗ ὂν at the same time that supports the diffusion of τὸ ὄν in the "different categories or supreme genres" of τὸ ὄν. Due to this argumentation, Aristotle distinguishes the ἐπιστήμη σοφία of any other type of knowledge: the former is fundamentally an enquiry "about the first causes (πρῶτα αἴτια) and the principles (ἀρχὰς)". With this conception in mind, Aristotle was able to characterize several related forms of the ἐπιστήμη σοφία which, as a whole, eventually allow him to establish a science of the principles and causes "maximally universal and referred to…everything real", and in consequence, to "that that is, as long as something is". In this work, I will try to reconstruct such arguments, and offer some observations and conjectures referred to these notions that plausibly incline the scale in favor of an ontological reading of Aristotle’s Metaphysics, in order to contribute to clarify the confusion that exists between the aim of the discipline with the justification to establish the existence of its own object. (shrink)

This article explores ways in which the Revision Theory of Truth can be expressed in the object language. In particular, we investigate the extent to which semantic deficiency, stable truth, and nearly stable truth can be so expressed, and we study different axiomatic systems for the Revision Theory of Truth.

Este volumen contiene los trabajos presentados en el I Simposio de Pensamiento Contemporáneo, celebrado en la Universidad Técnica Particular de Loja (UTPL) durante los días 23 y 24 de enero de 2019 y cuyo tema central fue las «Nuevas Tecnologías en la Educación» (SPC–NTE). Este Simposio tuvo como objetivo fomentar la interacción entre personas de diferentes formaciones e intereses en la discusión de problemas y soluciones relevantes para la educación en la era digital, a fin de intercambiar ideas sobre prácticas (...) e investigaciones que busquen comprender, mejorar y ampliar el uso de las nuevas tecnologías en los procesos de enseñanza–aprendizaje en los más diferentes contextos de enseñanza. 28 trabajos analizan abordan temáticas de especial interés para los futuros docentes, así como para quienes ya se desempeñan como tales en los diversos niveles educativos. Estos textos son instantáneas breves, ágiles y claras de las contribuciones teóricas o de experiencias pedagógicas que tratan sobre ambientes, softwares y hardwares para apoyar la enseñanza y aprendizaje; TIC en la educación universitaria; técnicas y estrategias lúdicas en educación; experiencias pedagógicas con las TIC y humanidades digitales en la educación. (shrink)

The political dimension of science has gained a particular interest in most recent decades for areas of knowledge like the Philosophy of science, as well as for political studies of science, history of science, among others. One reason for this development is that we are more conscious the results obtained by a scientist are a product of the interaction and interrelation of epistemic and none epistemic values. This dynamic is one of the factors which make progress in science possible and (...) reflects, at the same time, its integrity. Based on the contributions provided by Philip Kitcher, I shall characterize in this paper the two forms to treat scientific knowledge from a philosophical perspective. I shall argue, following Kitcher, that the scientific practice and social aspects of knowledge are not two different and disconnected things, but a unity of reasons which enable the progress of scientific knowledge. (shrink)

This article explores the connection between Boolean-valued class models of set theory and the theory of arbitrary objects in roughly Kit Fine’s sense of the word. In particular, it explores the hypothesis that the set-theoretic universe as a whole can be seen as an arbitrary entity. According to this view, the set-theoretic universe can be in many different states. These states are structurally like Boolean-valued models, and they contain sets conceived of as variable or arbitrary objects.

In this paper, I take up the question of how epistemic injustices can be resisted. Miranda Fricker, who introduced the term to describe situations in which subjects are wronged as knowers, has initially advocated an individualist, virtue-based account to counteract epistemic injustices. Epistemic injustices, however, do not merely operate at an individual level but are rooted in social practices and structures. Arguably therefore, individually virtuous epistemic conduct is not enough to uproot patterns of epistemic injustice. Institutional change and collective actions (...) are needed. Recently, Elizabeth Anderson has proposed such a structural remedy. Diagnosing patterns of social segregation that track existing inequalities to be the principal structural cause of epistemic injustices, Anderson suggests that integration is required to achieve epistemic justice. Pace Anderson, I argue that certain segregated spaces —namely spaces provided by subaltern counter-publics— can function and, in fact, have historically functioned as important sites of epistemic resistance. In particular, I argue that even if integration is sharply distinguished from assimilation, Anderson’s proposal insufficiently acknowledges the subversive potential of those spaces, in which shielded from the gaze of the oppressors, marginally situated subjects can assemble and question hegemonic epistemic practices. (shrink)

In this article we investigate similarities between the role that ineffability of Absolute Infinity plays in class theory and in theology.

Shame, shame management and reintegrative shaming feature in some restorative justice literature, and may have implications for schools. Restorative justice in schools is effective when perpetrators of wrong-doing can accept and take ownership of their wrongful acts, are appropriately remorseful, and seek to make amends. Shame may be understood as an ethical matter if it is regarded to arise because of the contradiction between the wrongful act and the individual’s sense of self and self-worth. Shame management (that is, seeking reintegrative (...) over stigmatising shaming) can be regarded to reflect a form of social responsibility as it contributes to community restoration by repairing ruptured social relationships. The notion of shaming and acknowledgement of harm thus assumes norms of acceptable community behaviour, attitudes and relationships, and is therefore also an ethical matter. Successful restorative practices in schools depend on the school-wide existence and practice of such norms, and mesh with virtues education, stimulated by the contemporary demand of many national curricula to promote so-called key competencies. Although the concepts of restorative justice and reintegrative shaming serve as a context for this article, its chief impetus was provided by an evaluative study of a group of New Zealand schools, in the course of which notions such as shame, reintegration and exclusion became evident. The chief purpose of this article is to consider and problematise shame from the perspective of the philosophy of education, and ask whether the concept of shame has a place in schools, whose important aims ought to include the development of democratic citizenship. (shrink)

In this article ideas from Kit Fine’s theory of arbitrary objects are applied to questions regarding mathematical structuralism. I discuss how sui generis mathematical structures can be viewed as generic systems of mathematical objects, where mathematical objects are conceived of as arbitrary objects in Fine’s sense.

Inspired by Kit Fine’s theory of arbitrary objects, we explore some ways in which the generic structure of the natural numbers can be presented. Following a suggestion of Saul Kripke’s, we discuss how basic facts and questions about this generic structure can be expressed in the framework of Carnapian quantified modal logic.

This book is concerned with the notion of the "stranger" -the foreigner, outsider, or alien in a country and society not their own- as well as the notion of strangeness within the self -a person's deep sense of being, as distinct from outside appearance and their conscious idea of self. Kristeva begins with the personal and moves outward by examining world literature and philosophy. She discusses the foreigner in Greek tragedy, in the Bible, and in the literature of the Middle (...) Ages, Renaissance, Enlightenment, and the twentieth century. She discusses the legal status of foreigners throughout history, gaining perspective on our own civilization. Her insights into the problems of nationality, particularly in France are more timely and relevant in an increasingly integrated and fractious world. (shrink)

In this paper we describe and interpret the formal machinery of abstraction processes in which the domain of abstracta is a subset of the domain of objects from which is abstracted.

Excerpt from Études sur la Signification Et la Place de la Physique dans la Philosophie de Platon Généralement accréditée. Cf. Ma Théorie platonicienne de l'amour, p. 63-109. On sait, d'autre part, que Platon achevait d'écrire les Lois lorsqu'il mourut en. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original (...) format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works. (shrink)

The Wigner distribution has proven to be a useful tool in many quantum problems requiring a joint distribution of position and momentum. In the present paper we develop a joint distribution for spin components within the spirit of the Wigner distribution. This distribution provides an insight into the quantum theory of measurement. We also discuss how one may write joint distributions for two arbitrary noncommuting operators.

Professor Pompa's study of Vico has done a great deal to stimulate and inform the growing interest in the English-speaking world in this remarkable figure. It remains the only work devoted almost exclusively to an interpretation of the New Science and offers a comprehensive guide to the main theoretical problems to which the text gives rise. For this second edition Professor Pompa has responded to the reactions of reviewers and critics and added a new chapter which analyses Vico's conception of (...) the principles which govern the development of law. (shrink)

This article contains an overview of the main problems, themes and theories relating to the semantic paradoxes in the twentieth century. From this historical overview I tentatively draw some lessons about the way in which the field may evolve in the next decade.

Proof-theoretic reflection principles have been discussed in proof theory ever since Gödel’s discovery of the incompleteness theorems. But these reflection principles have not received much attention in the philosophical community. The present chapter aims to survey some of the principal meta-mathematical results on the iteration of proof-theoretic reflection principles and investigate these results from a logico-philosophical perspective; we will concentrate on the epistemological significance of these technical results and on the epistemic notions involved in the proofs. In particular, we will (...) focus on the notions of commitment to and acceptance of a theory. Special attention is given to the connection between proof-theoretic reflection and axiomatic truth theories. After distinguishing between different types of proof-theoretic reflection principles, we review some proof-theoretic results concerning extensions of formal theories by (iterated) reflection principles. As basis theories, we concentrate on standard arithmetical and elementary axiomatic truth theories. We then go on to explore the epistemological significance of these results. In this investigation, we aim to show that the epistemic notion of acceptance of (or commitment to) a theory plays a crucial role in the philosophical argumentation for reflection principles and their iteration. (shrink)