A mass problem is a set of Turing oracles. If P and Q are mass problems, we say that P is weakly reducible to Q if every member of Q Turing computes a member of P. We say that P is strongly reducible to Q if every member of Q Turing computes a member of P via a fixed Turing functional. The weak degrees and strong degrees are the equivalence classes of mass problems under weak and strong reducibility, respectively. We (...) focus on the countable distributive lattices P w and P s of weak and strong degrees of mass problems given by nonempty Π 1 0 subsets of 2 ω . Using an abstract Gödel/Rosser incompleteness property, we characterize the Π 1 0 subsets of 2 ω whose associated mass problems are of top degree in P w and P s , respectively. Let R be the set of Turing oracles which are random in the sense of Martin-Löf, and let r be the weak degree of R. We show that r is a natural intermediate degree within P w . Namely, we characterize r as the unique largest weak degree of a Π 1 0 subset of 2 ω of positive measure. Within P w we show that r is meet irreducible, does not join to 1, and is incomparable with all weak degrees of nonempty thin perfect Π 1 0 subsets of 2 ω . In addition, we present other natural examples of intermediate degrees in P w . We relate these examples to reverse mathematics, computational complexity, and Gentzen-style proof theory. (shrink)

Tras señalar que la Segunda Ley de la Termodinámica se cumple porque el universo empezó en un estado ordenado, y que para predecir el estado inicial se deben ocupar tanto la relatividad general como la teoría cuántica, Hawking propone que el universo no tiene una sola historia sino todas las historias posibles, cada una con su propia amplitud de probabilidad. Postula que las historias del universo dependen de lo que está siendo medido, al revés de la idea habitual de que (...) el universo tiene una historia objetiva, independiente del observador: creamos la historia mediante nuestra observación, en lugar de que la historia nos cree a nosotros. Sostiene que la condición inicial para el universo es una de ausencia de fronteras, lo que implica que el universo primitivo debió haber sido casi liso, pero con pequeñas irregularidades; y que éstas habrían crecido luego bajo la influencia de la gravedad y conducido a la formación de galaxias, estrellas y, en último término, a seres considerados inteligentes. (shrink)

_In a time of social distancing and isolation, a meditation on the beauty of solitude from renowned Buddhist writer Stephen Batchelor__ A _Los Angeles Review of Books_ “Best of the Year” selection__ “Whatever a soul is, the author goes a long way toward soothing it. A very welcome instance of philosophy that can help readers live a good life.”—___Kirkus Reviews___ “Elegant and formally ingenious.”—Geoff Wisner, _Wall Street Journal__ When world renowned Buddhist writer Stephen Batchelor turned sixty, he took (...) a sabbatical from his teaching and turned his attention to solitude, a practice integral to the meditative traditions he has long studied and taught. He aimed to venture more deeply into solitude, discovering its full extent and depth. This beautiful literary collage documents his multifaceted explorations. Spending time in remote places, appreciating and making art, practicing meditation and participating in retreats, drinking peyote and ayahuasca, and training himself to keep an open, questioning mind have all contributed to Batchelor’s ability to be simultaneously alone and at ease. Mixed in with his personal narrative are inspiring stories from solitude’s devoted practitioners, from the Buddha to Montaigne, from Vermeer to Agnes Martin. In a hyperconnected world that is at the same time plagued by social isolation, this book shows how to enjoy the inescapable solitude that is at the heart of human life. (shrink)

Desde que Tarski publicó su estudio sobreel concepto de verdad en los años 30, hasido una práctica ortodoxa el considerarque t oda i nst anci a del esquema T esverdadera. Sin embargo, algunas instanciasdel esquema son falsas. Éstas incluyen lasi nst anci as paradój i cas ej empl i f i cadaspor la oración del mentiroso. Aquí sedemuestra que un esquema mejor permiteun tratamiento uniforme de la verdad enel que las paradojas semánticas resultanser simplemente falsas.Si nc e Ta r s (...) ki publ i s he d hi s s t udy ofthe concept of truth in the 1930s, it hasbeen orthodox practice to suppose thatevery instance of the T-schema is true.However, some instances of the schemaare false. These include the paradoxicalinstances exemplified by the Liar sentence.It is shown that a better schema allows auniform treatment of truth in which thesemantic paradoxes turn out to be simplyfalse. (shrink)

Arthur C. Danto ha insegnato che l’identità e il contenuto di un’opera d’arte dipendono da «l’atmosfera di una teoria che l’occhio non può percepire». Per “teoria” egli non intende le idee elaborate dai filosofi dell’arte. La sua tesi consiste nell’affermazione che un’opera d’arte può essere riconosciuta e apprezzata adeguatamente solo quando venga vista in relazione con la tradizione delle opere, gli scritti, le pratiche, i generi e le convenzioni che formano lo sfondo dal quale emerge come...

RESUMEN Largamente desatendida o malinterpretada, la noción de caos en la filosofía de Nietzsche es una pieza constitutiva de la particular concepción del ser que este autor habría dejado apenas esbozada. El artículo se propone elaborar este concepto en la obra nietzscheana, siguiendo algunas de las metáforas que lo iluminan. Desde allí se busca plantear los rasgos centrales de una ontologia del caos, de sesgo no metafísico, que, al afirmar el carácter acontecimental de la realidad, puede verse como precursora de (...) la ontología hermenéutica contemporánea. ABSTRACT The notion of chaos, which has long been neglected or misinterpreted, is a constitutive element of a peculiar conception of being that the philosopher only had time to outline. The objective of this article is to elaborate on this concept in Nietzschean philosophy, guided by some of the metaphors that shed light on it. This serves as the basis to set forth the main characteristics of a non-metaphysical ontology of chaos that asserts the eventful nature of reality and can thus be seen as a precursor of contemporary hermeneutic ontology. (shrink)

The theory which holds that in the Tractatus a thought is a psycholo-gical entity is foundational to important interpretations of Wittgens-tein's philosophical psychology. The view that the theory receives poweful support from Wittgenstein's 1919 letter to Russell has been challenged by Peter Carruthers. This paper argues that Carruthers's challenge fails.

The theory which holds that in the Tractatus a thought is a psychological entity is foundational to important interpretations of Wittgenstein's philosophical psychology. The view that the theory receives poweful support from Wittgenstein's 1919 letter to Russell has been challenged by Peter Carruthers. This paper argues that Carruthers's challenge fails.

Quantum indeterminism seems incompatible with Kant’s defense of causality in his Second Analogy. The Copenhagen interpretation also takes quantum theory as evidence for anti-realism. This article argues that the law of causality, as transcendental, applies only to the world as observable, not to hypothetical (unobservable) objects such as quarks, detectable only by high energy accelerators. Taking Planck’s constant and the speed of light as the lower and upper bounds of observability provides a way of interpreting the observables of quantum mechanics (...) as empirically real even though they are transcendentally (i.e., preobservationally) ideal.El indeterminismo cuántico parece incompatible con la defensa de la causalidad que hace Kant en su Segunda Analogía. La interpretación de Copenhague de la mecánica cuántica también considera a esta teoría como evidencia a favor del antirrealismo. Este artículo defiende que la ley (trascendental) de la causalidadse aplica solamente al mundo en tanto que observable, y no a objetos hipotéticos (inobservables) como los quarks, detectables solo mediante aceleradores de altas energías. Tomar la constante de Planck y la velocidad de la luz como límites inferior y superior de la observabilidad nos ofrece un modo de interpretar losobservables de la mecánica cuántica como empíricamente reales, incluso aunque estos sean trascendentalmente, es decir, preobservacionalmente, ideales. (shrink)

L'A. si occupa delle questioni teologiche di Wylton, conservate in tre mss.: Vat. Borgh. lat. 36; Tortosa, Archivo Capitular, 88; New Haven, CT, Yale Univ. Libr., Beinecke General 470. Lo studio verte sul contenuto di Beinecke 470 e Tortosa 88. Il primo contiene una serie di questioni teologiche e di fisica di Wylton, finora non notate. L'A. si sofferma sulle questioni teologiche, che in parte derivano da un prologo al Commento alle Sentenze, sulla questione relativa al problema della relazione , (...) sulla questione relativa al tempo . Quanto al ms. di Tortosa, l'A. esamina quattro questioni non attribuite, dimostrandone la paternità wyltoniana. Rispetto all'ultima delle questioni, sulla conoscenza scientifica di Dio, l'A. si sofferma sul prologo alle Sentenze di Prospero da Reggio Emilia dove la questione di Wylton è utilizzata per riferire l'opinione di Enrico di Harclay . In appendice sono elencati gli incipit delle questioni esaminate. (shrink)

El presente artículo trata de las ideas de inte r pretación e int e g ridad s e gún D w orkin, al tiempo que considera e r róneo el posit i vismo jurídico y sostiene la e xistencia de la objet i vidad moral y jurídica. Así mismo, plantea que la idea de "tomar algo como propio" es esencial para la idea de inte r pretación, y conclu y e a f i r mando que la inte r pretación (...) en el derecho, como en la democracia, se basa en lo que la gente realmente cree. De ahí se deduce que considerar el proceso de e v aluación de las prácticas jurídicas un asunto de "inte r pretación const r uct i v a" resulte en g añoso, ya que lo más llamat i v o de la teoría de la inte r pretación de D w orkin reside simplemente en que ofrece una crítica moral (sólida) de las prácticas e xistentes en relación con una concepción muy abstracta de la igualdad. Esta conclusión se con f i r ma con la distinción que D w orkin esta b lece entre los a r gumentos de "ajuste" y "sustancia" en el razonamiento jurídico, pues está claro que los a r gumentos de ajuste son sólo a r gumentos de sustancia disfrazados. Los a r gumentos en torno al ajuste ganan peso gracias al principio moral basado en el cumplimiento de las e xpectat i v as razona b les y al principio democrático que se basa en la idea de que la l e gislatura tiene el derecho moral de l e gisla r . Las conclusiones generales a las que se ll e ga en el presente ar tículo son que la teoría de la int e g ridad de D w orkin está orientada en la práctica al mundo real y que, de este modo, constitu y e únicamente una teoría de la "s e gunda mejor opción", y que el derecho inspirado en el ideal de justicia si r v e mejor como modelo con el que comparar las teorías del mundo real. En pa r ticula r , en lo que se re f iere al modelo de justicia, jamás se les podría pedir a los jueces que mintieran (como reconoce D w orkin que podría ser el caso de la int e g ridad), se preser v aría la estrecha con e xión entre derecho y justicia en el entendimiento común, y los casos difíciles se entenderían mejor como llama mientos directos a la justicia. (shrink)

En los últimos tiempos he propuesto la necesidad de elaborar una convención constitucional global centrada en proteger a las generaciones futuras. Este cuerpo deliberativo se ría similar a la convención constitucional de Estados Unidos de 1787, que dio lugar a su estructura actual de gobierno. Se enfrentaría a la “brecha de gobernabilidad” actual respecto de la preocupación por las generaciones futuras. Las instituciones contemporáneas, en particular, tienden a desplazar la preocupación intergeneracional y, por lo tanto, facilitan una “tiranía de lo (...) contemporáneo”. No solo pasan por alto una amenaza básica permanente para la humanidad y otras especies, sino que contribuyen a que esa amenaza se manifieste. El cambio climático es un ejemplo conspicuo de ello. En este artículo, esbozo una vía argumentativa natural hacia la convención constitucional global y sostengo que resulta difícil no adherir a ella. También insisto en que seamos imparciales en la forma cómo tratamos la propuesta. Quienes confían en alternativas (por ejemplo, el surgimiento de un gran líder, una gran alineación de intereses, el anarquismo climático que surge de iniciativas individuales o los gobiernos nacionales entendidos como administradores inter-generacionales efectivos) también deben enfrentar las críticas estándar sobre ingenuidad, urgencia, amenazas a los valores democráticos, etc. Además, la convención constitucional global tiene la ventaja de abordar inmediatamente el problema que enfrentamos. (shrink)

[EN]Most theories of causation assume that it must involve some kind of necessity, or that the cause must be entirely sufficient for the effect. Others have already suggested that it should be possible to get a theory of causation from a theory of powers or dispositions. Such a project is far from complete but even here we find that the key point in a dispositional theory of causation has been lacking. This paper attempts to establish some of the most important (...) principles of such a theory and in so doing turn the existing discussion in a new direction. [ES]La mayoría de las teorías de causación asumen que debe envolverse algún tipo de necesidad, o que la causa debe ser enteramente suficiente para el efecto. Otros ya han sugerido que debería de ser posible obtener una teoría de causación a partir de una teoría de poderes o disposiciones. Un proyecto tal está muy lejos de estar completo, pero incluso aquí encontramos que ha faltado el punto clave en una teoría dispositiva de causación. Este escrito intenta establecer algunos de los principios más importantes de una teoría tal, y al hacerlo inclina la discusión existente en una nueva dirección. (shrink)

El presente artículo trata algunas cuestiones teóricas e históricas respecto de la regulación del acceso a los medios de comunicación. En primer lugar, se hace un recorrido de las doctrinas liberales de los siglos XVI y XVII que inspiraron la igual desconfianza que refleja la Constitución de Estados Unidos respecto de los poderes públicos y privados en relación con el control de los medios de comunicación y de la opinión pública; en segundo lugar, se hace una revisión de la supervivencia (...) de tales doctrinas liberales en la en la interpretación de la Suprema Corte de la Primera Enmienda, relativa a la libertad de expresión y de prensa y, en tercer lugar, analiza la aplicación de dicha doctrina en los principios que han regido la administración de concesiones de radio y televisión por parte de la Comisión Federal de Comunicaciones. (shrink)

Este artículo discute la cercana relación entre la teología y la filosofía natural de Newton. Tomando como punto de inscripción el ejemplo de la Óptica, se refutarán estas lecturas de Newton. Primero, se examinará la evidencia que muestra que Newton contempló una declaración explícita de filosofía natural para la primera edición de la Óptica. Luego se discutirá el material teológico-natural añadido a la Optice de 1706. Al hacerlo, se señalarán ejemplos de su relación con las afirmaciones hechas en el Escolio (...) General de los Principia, se demostrará cómo éste está iluminado por las afirmaciones más explícitas hechas en un borrador a la Cuestión 23 (31), y se explorarán conexiones entre las declaraciones públicas de las Cuestiones y material más explícito sobre teología natural en los manuscritos privados de Newton. Luego se mostrará que, así como en el Escolio General, el material añadido a las ediciones posteriores de la Óptica también incluye claves sobre su teología antitrinitaria herética. Finalmente, se sugerirán formas en que los compromisos de Newton con la teología natural, y un poderoso Dios unitario del dominio, ayudaron a sustentar su filosofía natural. En suma, este artículo sostiene que la teología natural de Newton y su teología herética se relacionan con la filosofía natural de la Óptica de maneras que son mucho más fundamentales que un delgado barniz de retórica. Este artículo se basa no sólo en un análisis de los textos publicados, sino también de los borradores relacionados con la Óptica y otros paralelos textuales en los escritos inéditos de Newton. Estos manuscritos privados ayudarán a abrir una ventana en el sentido que buscaban los textos públicos de Newton. (shrink)

No hay en la historia reciente de la justicia constitucional contemporánea evidencia del diálogo académico entre dos jueces constitucionales supremos en activo.

Resumen En esta discusión expongo algunas objeciones a las siguientes tesis de Velázquez 2020: 1) que tanto Descartes como Frege sostienen que las entidades aritméticas son irreductibles a procesos empíricos; 2) que, en el caso de Descartes, dichas entidades son “perennes, inherentes a la propia constitución y funcionamiento de la mente” y 3) que Frege impugnó la filosofía matemática de Mill por psicologista. Sostengo que la segunda tesis no es, per se, controversial, pero que sí lo es en el contexto (...) del artículo de Velázquez.In this discussion I present objections to the following theses in Velázquez 2020: 1) that both Descartes and Frege maintain that arithmetic entities are irreducible to empirical processes; 2) that, in the case of Descartes, these entities are “perennial, inherent to the very constitution and functioning of the mind”, and 3) that Frege contested Mill’s mathematical philosophy for being psychologistic. I argue that the second thesis is not, per se, controversial, but that it is controversial in the context of Velázquez’s article. (shrink)

Stephen Davies presents a fascinating exploration of the idea that art, and our aesthetic sensibilities more generally, should be understood as an element in human evolution. He asks: Do animals have aesthetics? Do our aesthetic preferences have prehistoric roots? Is art universal? What is the biological role of aesthetic and artistic behaviour?

In Return to Reason, Stephen Toulmin argues that the potential for reason to improve our lives has been hampered by a serious imbalance in our pursuit of ...

"A discussion of the historical development of our ideas of time as they relate to nature, human nature and society. . . . The excellence of The Discovery of Time is unquestionable."--Martin Lebowitz, The Kenyon Review.

The Hedgehog, the Fox, and the Magister's Pox is a controversial discourse, rich with facts and observations gathered by one of the most erudite minds of our ...

Stephen Toulmin argues that the potential for reason to improve our lives has been hampered by a serious imbalance in our pursuit of knowledge. The centuries-old dominance of rationality has diminished the value of reasonableness. Toulmin issues a powerful call to redress the balance between rationality and reasonableness.

"Biophilia" is the term coined by Edward O. Wilson to describe what he believes is humanity's innate affinity for the natural world. In his landmark book Biophilia, he examined how our tendency to focus on life and lifelike processes might be a biologically based need, integral to our development as individuals and as a species. That idea has caught the imagination of diverse thinkers. The Biophilia Hypothesis brings together the views of some of the most creative scientists of our time, (...) each attempting to amplify and refine the concept of biophilia. The variety of perspectives -- psychological, biological, cultural, symbolic, and aesthetic -- frame the theoretical issues by presenting empirical evidence that supports or refutes the hypothesis. Numerous examples illustrate the idea that biophilia and its converse, biophobia, have a genetic component: fear, and even full-blown phobias of snakes and spiders are quick to develop with very little negative reinforcement, while more threatening modern artifacts -- knives, guns, automobiles -- rarely elicit such a response people find trees that are climbable and have a broad, umbrella-like canopy more attractive than trees without these characteristics people would rather look at water, green vegetation, or flowers than built structures of glass and concrete The biophilia hypothesis, if substantiated, provides a powerful argument for the conservation of biological diversity. More important, it implies serious consequences for our well-being as society becomes further estranged from the natural world. Relentless environmental destruction could have a significant impact on our quality of life, not just materially but psychologically and even spiritually. (shrink)

An examination of verbal hallucinations and thought insertion as examples of "alienated self-consciousness.".

Transnational corporations have become actors with significant political power and authority which should entail responsibility and liability, specifically direct liability for complicity in human rights violations. Holding TNCs liable for human rights violations is complicated by the discontinuity between the fragmented legal/political structure of the TNC and its integrated strategic reality and the international state system which privileges sovereignty and non-intervention over the protection of individual rights. However, the post-Westphalian transition—the emergence of multiple authorities, increasing ambiguity of borders and jurisdiction (...) and blurring of the line between the public and private spheres—should facilitate imposing direct responsibility on transnational firms. Mechanisms for imposing direct responsibility on TNCs are considered including voluntary agreements and international law. However, I conclude that a hybrid public-private regime which relies on non-hierarchical compliance mechanisms is likely to be both more effective and consistent with the structure of the emerging transnational order. (shrink)

Undergraduate students with no prior classroom instruction in mathematical logic will benefit from this evenhanded multipart text by one of the centuries greatest authorities on the subject. Part I offers an elementary but thorough overview of mathematical logic of first order. The treatment does not stop with a single method of formulating logic; students receive instruction in a variety of techniques, first learning model theory (truth tables), then Hilbert-type proof theory, and proof theory handled through derived rules. Part II supplements (...) the material covered in Part I and introduces some of the newer ideas and the more profound results of logical research in the twentieth century. Subsequent chapters introduce the study of formal number theory, with surveys of the famous incompleteness and undecidability results of Godel, Church, Turing, and others. The emphasis in the final chapter reverts to logic, with examinations of Godel's completeness theorem, Gentzen's theorem, Skolem's paradox and nonstandard models of arithmetic, and other theorems. Unabridged republication of the edition published by John Wiley & Sons, Inc. New York, 1967. Preface. Bibliography. Theorem and Lemma Numbers: Pages. List of Postulates. Symbols and Notations. Index. (shrink)

Organizational aesthetics, both as a body of theory and a method of inquiry, is a rapidly expanding area of the organizational sciences. The Aesthetics of Organization accessibly draws key contributions delineating the emerging parameters of the field. It explains the significance of concepts devised by postmodern thinkers, through which emerge meaning and order in organizations. Methodological problems associated with investigations of the aesthetic are also highlighted so the reader can identify and understand the importance of recent ideas on vision, perspective (...) and periphery for learning in organizations. Through the contributions of leading international theorists, organizational aesthetics is defined in greater historical and theoretical depth, with a broad conceptual and practical range which academics will find invaluable. (shrink)

This entry offers a critical overview of the contemporary literature on understanding, especially in epistemology and the philosophy of science.

Hume thought that if you believed in powers, you believed in necessary connections in nature. He was then able to argue that there were none such because anything could follow anything else. But Hume wrong-footed his opponents. A power does not necessitate its manifestations: rather, it disposes towards them in a way that is less than necessary but more than purely contingent. -/- In this paper a dispositional theory of causation is offered. Causes dispose towards their effects and often produce (...) them. But a set of causes, even though they may succeed in producing an effect, cannot necessitate it since the effect could have been counteracted by some additional power. This would require a separation of our concepts of causal production and causal necessitation. The most conspicuous cases of causation are those where powers accumulate and pass a requisite threshold for an effect to occur. -/- We develop a model for representing powers as constituent vectors within an n-dimensional quality space, where composition of causes appears as vector addition. Even our resultant vector, however, has to be understood as having dispositional force only. This model throws new light on causal modality and cases of prevention, causation by absence and probabilistic causation. (shrink)

This book combines the insights of a seasoned journalist with those of an expert on philsophical ethics to provide a penetrating and comprehensive guide to the ethics of news reporting. It is essential reading for anyone interested in the role the press plays in influencing social, economic, and political choices in modern society. Drawing on a wealth of real-life cases, The Virtuous Journalist melds for the first time a conceptual analysis of the critical moral problems in journalism with a solid (...) understanding of the constraints and possibilities faced by the print and electronic media. The authors are not First Amendment absolutists but believe nonetheless that, in a democracy, the media should be subjected to minimal legal restraint. They also argue that freedom from legal restraint requires increased moral responsibility. Among the specific topics treated in the book are notions of morality and fairness, journalistic competence, standards of objectivity and accuracy, avoiding bias, avoiding harm, notions of public service, and maintaining public trust. Specific cases discussed include the controversy surrounding the CBS documentary "The Uncounted Enemy" and recent reporting on the AIDS epidemic. (shrink)