This article proposes a geostatistical solution for area-to-point spatial prediction (downscaling) taking into account boundary effects. Such effects are often poorly considered in downscaling, even though they often have significant impact on the results. The geostatistical approach proposed in this article considers two types of boundary conditions (BC), that is, a Dirichlet-type condition and a Neumann-type condition, while satisfying several critical issues in downscaling: the coherence of predictions, the explicit consideration of support differences, and the assessment of uncertainty regarding the (...) point predictions. An updating algorithm is used to reduce the computational cost of area-to-point prediction under a given BC. In a case study, area-to-point prediction under a Dirichlet-type BC and a Neumann-type BC is illustrated using simulated data, and the resulting predictions and error variances are compared with those obtained without considering such conditions. (shrink)

This paper introduces the logic _Q__L__E__T_ _F_, a quantified extension of the logic of evidence and truth _L__E__T_ _F_, together with a corresponding sound and complete first-order non-deterministic valuation semantics. _L__E__T_ _F_ is a paraconsistent and paracomplete sentential logic that extends the logic of first-degree entailment (_FDE_) with a classicality operator ∘ and a non-classicality operator ∙, dual to each other: while ∘_A_ entails that _A_ behaves classically, ∙_A_ follows from _A_’s violating some classically valid inferences. The semantics of _Q__L__E__T_ (...) _F_ combines structures that interpret negated predicates in terms of anti-extensions with first-order non-deterministic valuations, and completeness is obtained through a generalization of Henkin’s method. By providing sound and complete semantics for first-order extensions of _FDE_, _K3_, and _LP_, we show how these tools, which we call here the method of _anti-extensions + valuations_, can be naturally applied to a number of non-classical logics. (shrink)

Neste livro Gombrich discute as idéias e as posturas específicas que tiveram influência decisiva na prática da arte renascentista. Todos os estudos aqui reunidos tratam de algo a que se pode chamar clima renascentista de opiniões sobre a arte, além da influência desse clima sobre a prática e a crítica da arte.

Part of the success of the hardcover edition of this book can no doubt be attributed to its fortunate timing, appearing just when the public was becoming aware of the corrosive effects extremist religion has had on society in recent years. Readers have welcomed the opportunity to learn about the alternative to theism—looking at the world as it is, without having to create a place for God in it. Fine authors such as Richard Dawkins, Sam Harris, and Christopher Hitchens have (...) contributed to a growing popular literature on atheism. In the context of this movement, God: The Failed Hypothesis addresses head-on the question of the existence of God from a scientific perspective. (shrink)

In Hermathena, vol. xiv., pp. 338–359, Professor Charles Exon attempts to prove that the nom. and dat.-abl. pi. of deus were disyllabic in Plautus. The argument upon which he lays most stress is briefly this: Plautus uses iambic words shortened by the law of breves breviantes in the thesis of iambic and trochaic verse about twice as often as he does in the arsis, whereas the long monosyllable cor occurs in dialogue with equal frequency in both parts of the foot. (...) In this respect the nom. pl. of deus agrees with the shortened iambi, and should therefore, he thinks, be considered one of them. (shrink)

It is a thankless task to have to reply to Professor Murray Krieger’s “Retrospective.” Qui s’excuse, s’accuse, and since I cannot ask my readers to embark on their own retrospective of my writings and test them for consistency, I have little chance of restoring my reputation in their eyes. Hence I would have been happier to leave Professor Krieger to his agonizing, if he did not present himself the “spokesman” for a significant body of theorists who appear to have acclaimed (...) my book on Art and Illusion without ever having read it. The followers of this school of criticism—of which Professor Krieger is a prominent member—had apparently convinced themselves that the book lent support to an aesthetics in which the notions of reality and of nature had no place. They thought that I had subverted the old idea of mimesis and that all that remained were different systems of conventional signs which were made to stand for an unknowable reality. True, professor Krieger admits that I never endorsed such an interpretation of my views, and he even concedes that there are passages in Art and Illusion which contradict such an out-and-out relativism, but he wants to convince his readers that these contradictions lead precisely to the ambiguities he now proposes to analyse.If he were right that the book encourages such a misreading, all I could do would be to express my regrets for having failed to make myself sufficiently clear. Luckily I can draw comfort from the fact that unlike these literary critics, the leading archaeologist of this country, Professor Stuart Piggott, had no difficulty at all in discerning my meaning and profiting from my arguments. In his Walter Neurath Memorial Lecture of 1978, entitled Antiquity Depicted: Aspects of Archaeological Illustration, the author did me the honour of taking a statement from my book as his starting point. It is the passage at the end of part I in which I recapitulate the content of the first two chapters:What matters to us is that the correct portrait, like the useful map, is an end product on a long road through schema and correction. It is not a faithful record of a visual experience but the faithful construction of a relational mode.Neither the subjectivity of vision nor the sway of conventions need lead us to deny that such a model can be constructed to any required degree of accuracy. What is decisive here is clearly the word “required.” The form of a representation cannot be divorced from its purpose and the requirements of the society in which the given visual language gains currency.1 1. E. H. Gombrich, Art and Illusion: A Study in the Psychology of Pictorial Representation, A. W. Mellon Lectures in the Fine Arts, 1956 , p. 90. E. H. Gombrich was director of the Warburg Institute and Professor of the History of the Classical Tradition at the University of London from 1959 to 1976. His many influential works include The Story of Art, Art and Illusion, Meditations on a Hobby Horse, The Sense of Order, Ideals and Idols, The Image and the Eye, and, most recently, Tributes. His previous contributions to Critical Inquiry include “The Museum: Past, Present and Future and “Standards of Truth: The Arrested Image and the Moving Eye”. (shrink)

In the fourth section of Goethe’s Zahme Xenien we find the quatrain from which I have taken the theme of such an old and new controversy, which, as I hope, concerns both Germanic studies and the other humanities: “What was it that kept you from us so apart?” I always read Plutarch again and again. “And what was the lesson he did impart?” “They were all human beings—so much is plain.”1 In the very years when Goethe wrote these lines, that (...) is in the 1820s, Hegel repeatedly gave his lectures on the philosophy of history. Right at the beginning he formulated the opposite view which I should like briefly to characterize as “cultural relativism.”Every age has such peculiar circumstances, such individual conditions that it must be interpreted, and can only be interpreted, by reference to itself…. Nothing is shallower in this respect than the frequent appeal to Greek and Roman example which so often occurred among the French at the time of their Revolution. Nothing could be more different than the nature of these peoples and the nature of our own times.2 What is at issue here is not, of course, Hegel’s assertion that ages and peoples differ from each other. We all know that, and Goethe, the attentive reader and traveler, also knew, for instance, that the Roman carnival differed in its character from the celebrations of the Feast of Saint Rochus at Bingen, both of which he had described so lovingly. What makes the cultural historian into a cultural relativist is only the conclusion which we saw Hegel draw, that cultures and styles of life are not only different but wholly incommensurable, in other words that it is absurd to compare the peoples of a region or an age with human beings of other zones because there is no common denominator that would justify us in doing so. 1. ‘Was hat dich nun von uns entfernt?’ Hab immer den Plutarch gelesen. ‘Was has du den dabei gelernt?’ Sind eben alles Menschen gewesen.’ Johann Wolfgang von Goethe, Sämtlich Werke. Jubiläums-ausgabe in 40 Bänden 4:73; with commentary.2. See Georg Wilhelm Friedrich Hegel, Vorselungen über die Philosophie der Geschichte, Werke, 20 vols. , 12:17. E. H. Gombrich was director of the Warburg Institute and Professor of the History of the Classical Tradition at the University of London from 1959 to 1976. His many influential works include The Story of Art, Art and Illusion, Meditations on a Hobby Horse, The Sense of Order, Ideals and Idols, The Image and the Eye, Tributes, Aby Warburg, and New Light on Old Masters. His previous contributions to Critical Inquiry include “The Museum: Past, Present and Future” , “Standards of Truth: The Arrested Image and the Moving Eye” , and “Representation and Misrepresentation”. (shrink)