This work presents an operational and geometric approach to logic. It starts from the multilinear elective decomposition of binary logical functions in the original form introduced by George Boole. A justification on historical grounds is presented bridging Boole’s theory and the use of his arithmetical logical functions with the axioms of Boolean algebra using sets and quantum logic. It is shown that this algebraic polynomial formulation can be naturally extended to operators in finite vector spaces. Logical operators will appear as (...) commuting projection operators and the truth values, which take the binary values \, are the respective eigenvalues. In this view the solution of a logical proposition resulting from the operation on a combination of arguments will appear as a selection where the outcome can only be one of the eigenvalues. In this way propositional logic can be formalized in linear algebra by using elective developments which correspond here to combinations of tensored elementary projection operators. The original and principal motivation of this work is for applications in the new field of quantum information, differences are outlined with more traditional quantum logic approaches. (shrink)

本书是语言哲学较晚期重要人物万德勒的一部代表著作,他运用了现代语言学的手段来讨论语言哲学问题。.

This book is a major attempt to reconcile the empirical basis of linguistic science with the a priori nature of philosophical reasoning. Its purpose is to show how the methods and findings of linguistic science, especially of transformational grammar, can be used to cast light upon central problems of analytic philosophy. After dealing with recent objections to the use of linguistic techniques in philosophy, the author shows, with great force and clarity, how these techniques can be applied to such problems (...) as the analysis of singular terms, the concepts of fact, event, and causality, and the meaning of the word "good.". (shrink)

O funk é hoje considerado uma das maiores manifestações culturais de massa do Brasil e está diretamente relacionado aos estilos de vida e experiências da juventude oriunda de favelas, portanto ele reflete a vida cotidiana em comunidades do Rio de Janeiro. Este artigo consiste em uma análise crítica construída em torno das mulheres Mc’s do Movimento Funk Carioca e, tem como objetivo analisar por meio do cotidiano da mulher trabalhadora as contradições da cultura popular expressas nas músicas que alimentam uma (...) consciência da condição de dominação e suas limitadas possibilidades de superação. (shrink)

In this note we present the recent critical edition (with commentary and translation) of Irenaeus, Adversus Haereses 1 published by the Fuentes Patrísticas collection at number 37. We present its distinctive features and its assets as a very useful tool for studies on Irenaeus and gnosticism. We hope, it will complement for interested scholars the previous edition of SCh 263-264.

This article proposes an interpretation of the use of the lemma ὁ κανὼν τὴς ἀληϑείας – regula veritatis in Irenaeus’ Adversus haereses. It is commonly interpreted as a compendium of the main items of Christian faith or as indicating the wholeness of the faith. These interpretations focuse themselves in terms of the “contents” of faith. We propose to understand it in a more formal way, as a lemma that indicates the formal structure of Christian truth, the specific shape that keeps (...) the objects of faith joined together. (shrink)

The Empire of Chance tells how quantitative ideas of chance transformed the natural and social sciences, as well as daily life over the last three centuries. A continuous narrative connects the earliest application of probability and statistics in gambling and insurance to the most recent forays into law, medicine, polling and baseball. Separate chapters explore the theoretical and methodological impact in biology, physics and psychology. Themes recur - determinism, inference, causality, free will, evidence, the shifting meaning of probability - but (...) in dramatically different disciplinary and historical contexts. In contrast to the literature on the mathematical development of probability and statistics, this book centres on how these technical innovations remade our conceptions of nature, mind and society. Written by an interdisciplinary team of historians and philosophers, this readable, lucid account keeps technical material to an absolute minimum. It is aimed not only at specialists in the history and philosophy of science, but also at the general reader and scholars in other disciplines. (shrink)

A few weeks ago I received a copy of the PHILOSOPHICAL STUDIES, containing a review of my book John Henry Newman, Our Way to Certitude, written by Fr. Boekraad. It was very unfavourable so that anybody reading it is sure to make up his mind never to buy the book.

In lieu of an abstract, here is a brief excerpt of the content:Beyond Ratzinger's Republic:Communio's Postliberal TurnSam Zeno Conedera S.J. and Vincent L. Strand S.J.Is the political future of the West a postliberal one? For the past decade, numerous prominent thinkers in America and Europe have been debating this question. Matters that not long ago were merely of historical interest, such as Pope Gelasius I's understanding of the relation between sacral authority and royal power, Thomas Aquinas's thought on monarchy (...) and Robert Bellarmine's theory of the pope's indirect authority in temporal matters are now increasingly studied for their potential answers to contemporary political questions. This development, which would have been nearly unimaginable just a decade earlier, unsurprisingly has been led by Catholics. We say "unsurprisingly" in view of the long pre-modern tradition of Catholic political thought, as well as the Church's long struggle against liberalism during the nineteenth and early twentieth centuries. Some of the current postliberal writers explicitly connect themselves to both of these aspects by using the term "integralist" to describe their position.1 [End Page 889]This "new integralism" represents a radical departure from the mainstream of Catholic political discourse of the last half century, which has largely sought rapprochement with Western liberalism. A group of writers, led by John Courtney Murray, George Weigel, Michael Novak, and Robert George, have held that the American constitutional order is rooted in the natural law tradition, and therefore is basically friendly to Catholic political thought. The Church's role in American life, they say, is upholding the natural law as a public moral philosophy, while embracing the non-establishment clause of the First Amendment as a matter of principle, in accordance with the teachings of the Second Vatican Council. This "Whig Thomism," which for decades represented the predominant outlook of conservative American Catholics, must now face the challenge of a different sort of Thomism represented by the integralists.2While the engagement between Whig Thomists and integralists has received most of the attention from scholars and journalists alike, another postliberal option has emerged in recent years. Its source is a group of Catholic thinkers associated with the Communio theological movement. Their political vision, which has no single name or label, has a complex and subtle relationship with the thought of earlier Communio writers, most of whom shared the Whig Thomist desire for reconciliation with Western liberalism. [End Page 890] The appearance of a Communio postliberalism therefore represents a significant development within this intellectual tradition. The most important representative of the earlier Communio perspective on political questions is Joseph Ratzinger / Pope Benedict XVI, who has recently been lauded as the "most important Catholic thinker of the twentieth century" on matters at the intersection of theology and politics.3In an article titled "Ratzinger's Republic" that appeared in these pages in 2020, we identified a significant tension in his thought about the Church's contribution to political life.4 Exploring Ratzinger's writings on natural law, we demonstrated that two currents are present. In accord with his fundamental theological commitments about nature and grace and about faith and reason, Ratzinger often questioned the effectiveness of arguments from natural law. He claimed that, since reason is historically conditioned, and therefore in the current order marked by sin, reason needs grace and faith to function properly. Yet, on other occasions, Ratzinger strongly endorsed arguments from natural law, highlighting its role as the foundation of a just democratic political order. We traced this ambivalence about natural law back to a dilemma at the heart of Ratzinger's political thought. On the one hand, in accord with his thinking about the relations of nature and grace and faith and reason, Ratzinger argued that the state needs the Church to supply moral values that the state cannot furnish on its own. On the other hand, he believed it belongs to the very nature of the Church to be separate from the state, and he endorsed nonconfessional, religiously pluralistic states.5 In light of these two commitments, Ratzinger argued that the contribution Christians are to make to the state is to supply moral values that were discerned under the influence of grace and divine revelation but... (shrink)

In lieu of an abstract, here is a brief excerpt of the content:NEWMAN'S PSYCHOLOGICAL DISCOVERY: THE ILLATIVE SENSE (V. Continued) 15. The Universals. A long and vehement dispute once raged about the reality of universals. Are they only mental creations, forged by the human brain, without any reality outside them, or have they some independent existence apart from their mental reality? Anyhow, there was an apparent contradiction between die universal character of our ideas and the individual character of concrete things. (...) The Scholastics solved this problem by drawing clear distinctions. An idea is an abstraction; as soon as it becomes applicable to a number of objects or things in the same sense, it is a universal idea. The "direct universal" (universale directum seu metaphysicum) as such has no existence apart from our minds, because an existing thing is always bound up with concrete, determining, individualizing notes, and it is these very circumstances or accidents which are ignored by the mind as it strips the thing of its individual characteristics. When the mind reflects on this "direct universal," i.e., on the abstract essence of the thing, it sees that this is to be found in many more things and that it is identical in all those things, and in this way the "reflex or logical universal" is formed (universale reflexum seu logicum). This same essence or quiddity is not really different from the thing itself, but the mind makes abstraction of all accidents, and this foundation makes it possible to apply this idea in die same sense to all other beings of the same kind, whether they are actually existing or not. In other words the universal as a universal has only reality in the mind but it has a foundation or a ground in the thing itself. Newman was not so well acquainted with Scholasticism that he knew and mastered the solution of the problem. As a matter of fact he approached it from quite another angle. Hence when scholastically trained minds read some of his statements on universals, they may feel shocked. They sound very curious, they seem incon418 DR. ZENO, O.F.M. CAP.419 sistent with each other, they apparenüy imply a negation of the objective reality of universals. This makes it necessary to compare the texts and to explain his meaning. a. Newman Inconsistent. We should never lose sight of the fact that Newman had no intention at all to enter the province of philosophy in the restricted sense of the word. "I am only contemplating the mind as it moves in fact, by whatever hidden mechanism,"1 that is what could be put as a heading to every page of the Grammar of Assent. And when he virtually deals with metaphysics, he wants us to consider his statements as hypotheses, or as propositions stated only by the way, and in this department he always wishes "to speak under correction." This explains how he could refer to the universale metaphy sicum and the universale directum in a very correct way without realizing he was teaching Scholastic doctrine. As far as I know, it is Professor Walgrave who has first drawn attention to this fact,2 when he dealt with Newman's alleged conceptualism. Newman states that "even one act of cruelty, ingratitude, generosity or justice reveals to us at once intensive the immutable distinction between those qualities and their contraries; that is, in that particular instance and pro bac vice."3 The same holds for the opposites: right and wrong, true and false, just and unjust, beautiful and deformed.4 In one experience, therefore, he sees a thing as an immutable, absolute quiddity, which objectively and in the same sense belongs to all possible things of the same kind, although the mind does not yet explicidy confirm this universal applicability. The contemplated quality remains limited to the particular case; but in its absoluteness it is stripped of all individual, changeable and concrete characteristics. This is the metaphysical universal of the Scholastics. But Newman also mentions the logical universal when he says: "As we form our notion of whiteness from the actual sight of snow, a lily or a cloud, so, after experiencing the sentiment of approbation which arises in us on the sight of certain... (shrink)

Randomization is a generally accepted principle of sound experimental design and common practice among working scientists. But Bayesian statisticians reject it, most often because of decision theoretic argument against randomization. I trace it back to Abraham Wald's Theory of Inductive Behavior and argue that Bayesians should concur with Ronald Fisher 's criticism of Wald's analysis of randomization. The paper ends with a Bayesian argument in favor of randomization: randomization can lead to an increase in expected utility.

Even in a theory corroboration context, attention to effect size is called for if significance testing is to be of any value. I sketch a Popperian construal of significance tests that better fits into scientific inference as a whole. Because of its many errors Chow's book cannot be recommended to the novice.

In this paper I give a Bayesian criterion for when an experiment is a test of the theory of the apparatus, rather than a test of the theory of the phenomena, and describe strategies used to ensure that tests of the theory of the phenomena are possible. I extend this framework to low dose electron microscopy which has a stochastic instrument theory and which provides an exception to a thesis by Robert Ackermann on the independence between theory and instrumentation.

Electron microscopy, and in particular low dose electron microscopy, offers interesting cases of experimental techniques where the theory of the phenomena studied and the theory of the apparatus used, are intertwined. A single primary exposure usually does not give an interpretable image, and computerized image enhancement techniques are used to create from multiple exposures a single, visually meaningful image. Some of the enhancement programs start from informed guesses at the structure of the specimen and use the primary exposures in a (...) series of corrections to arrive at a image that can be read by trained observers.In this paper I describe in the general deterministic case the possible relations between phenomena theory and instrument theory. I give a Bayesian criterion for when an experiment is a test of the theory of the apparatus, rather than a test of the theory of the phenomena, and describe strategies used to ensure that tests of the theory of the phenomena are possible. (shrink)

The influence of St. Ignatius of Loyola's Spiritual Exercises on Descartes’ work, including the Meditations, has been recognized and discussed by many historians. I just mention a few fairly recent and easily accessible instances. In The Metaphysics of Descartes, J. L. Beck suggests that the literary form of the Meditations is most likely due to the Ignatian meditations to which Descartes had been exposed during his training at the Jesuit college of LaFlèche. Arthur Thomson in ‘Ignace de Loyola et Descartes’ (...) traces some elements in Descartes’ method and psychology to Ignatian sources, mainly focusing on the Discourse. (shrink)

Those who disturb the hornets’ nest better be thick skinned. Keeping that in mind, thus far I kept my silence in the face of the adverse reactions my essay “On What One Knows” has provoked in the literature. As to the merits of the various objections, moreover, I trusted the judgement of the philosophical community to sort them out, and either recognize their futility, or make the necessary adjustments in my arguments without the need to reject the conclusions.In the case (...) of Dunn and Suter, however, I decided to make an exception. The reason is that they indeed succeeded in pointing out certain difficulties in my position, which are not due to misunderstandings, conflicting linguistic intuitions, or other superficial sources. And, second, meeting their objections gives me the opportunity of proposing a significant refinement of my theory, the need for which I increasingly felt in the meanwhile myself. (shrink)