In his book Gabriele Lolli discusses the notion of proof, which is, according to him, the most important and at the same time the least studied aspect of mathematics. According to Lolli, a theorem is a conditional sentence of the form ‘if T then A’ such that A is a logical consequence of T, where A is a sentence and T is a sentence or a conjunction or set of sentences. Verifying that A is a consequence of T generally involves (...) considering infinitely many interpretations; so it is something which is impossible to do in finite terms. Proofs may serve as ‘shortcuts’ in this respect. A proof is defined by Lolli as any finite argument certifying that A is a consequence of T. A proof is a shortcut in the sense that it spares us considering infinitely many interpretations.The reason for such a very general definition of proof is Lolli's strong belief that mathematics is not a rigid system of explicit rules, but rather a set of tools; as a consequence, there is no prescription as to what a proof should or should not be. Actually, mathematics is historically situated and not timeless, and the history of mathematics is the …. (shrink)

An overview of the way I picture the amorphous world we live in, built around my comments and responses to nine festschrift essays by A. Borghini (on the Fedro metaphor and the art of butchery), F. Calemi (on the predication principle and metalinguistic nominalism), C. Calosi (on the argument from mereological universalism to extensonality), E. Casetta (on the role of “monsters” in the realism/antirealism debate), V. Giardino (on inductive reasoning, spatial representation, and problem solving), P. Graziani (on mereological notation), (...) P. Pedrini (on the distinction between natural and artificial boundaries), D. Santoro (on causation by omission), and G. Torrengo (on absolute vs. relational space and the problem of incongruent counterparts). (shrink)

With his customary incisiveness, W. V. Quine presents logic as the product of two factors, truth and grammar--but argues against the doctrine that the logical truths are true because of grammar or language. Rather, in presenting a general theory of grammar and discussing the boundaries and possible extensions of logic, Quine argues that logic is not a mere matter of words.

Для юристов-практиков и разработчиков законов, студентов, аспирантов и преподавателей юридических вузов и факультетов.

"This book is an augmented and updated translation by the author of Theorie des Subjekts: Subjectiviteat und Identiteat zwischen Moderne und Postmoderne, Teubingen, Francke-UTB, 2010 (3rd ed.)"--Title page verso.

Zusammenfassung Der Beitrag widmet sich der Entstehung des Faches Religionsgeschichte in Frankreich. Die Vorgeschichte zu diesem Prozess beginnt mit Benjamin Constants Religionsphilosophie der 1810–1820er Jahre, in der die lokalen und diachronen Veränderungen des allgemein menschlichen religiösen Gefühls als ein Schlüssel zur Religionsgeschichte verstanden wurden. Nach einer langen Pause wird das Thema des religiösen Gefühls in Albert Révilles liberaltheologischem Projekt wieder aktuell. Ausgehend von Schleiermachers Voraussetzungen hoffte Réville dadurch die Apologetik zu modernisieren wie auch den Weg zum theologischen Inklusivismus zu bahnen. (...) Sein Sohn Jean, ebenfalls Theologe, neutestamentlicher Forscher und Sentimentalist, arbeitete mit dem Vater zusammen an der Institutionalisierung des Faches Religionsgeschichte in Frankreich. Albert Réville leitete von 1886 bis zu seinem Tod 1906 die fünfte (religionswissenschaftliche) Sektion der École Pratique des Hautes Études, gleichzeitig war Jean Réville seit 1884 Herausgeber der Fachzeitschrift Revue de l’histoire des religions. Révilles theoretischer Standpunkt wurde von É. Durkheim und seinen Gleichgesinnten H. Hubert und M. Mauss, die die weitere weltanschauliche Säkularisierung förderten, nach 1898 stark kritisiert. Diese Serie von Erwiderungen zeigt die Kluft zwischen der Methodologie der (dem Ursprung nach) evangelischen Religionsgeschichte und der durkheimischen Religionssoziologie. (shrink)

The article discusses a key issue for Russian and international Max Weber Studies: the epistemological possibilities and place of Weberian sociology in modern social theory. Discussion articles by well-known Russian scientists — who sharply criticized the actualizing direction of Weberian studies in general, and the religious, cultural, and sociological orientation in particular — are contrasted with the re-actualization and rethinking of key Weberian themes in the “New Critical Theory” of the influential German sociologist Hartmut Rosa. Such a projection will make (...) it possible, on the one hand, to thematize the axiomatic assertion about the heuristic rather than concrete-content relevance of the classics; on the other hand, it will provide an opportunity to read Weber as a macrosociologist. In the original, criticized, and often rejected sociology of Rosa, Weber appears not only as a predecessor whose mention enhances the relevance of the new theoretical framework, but, above all, as an analyst and diagnostician of early modernity. Weber’s main ideas and theoretical constructions are organically built into Rosa’s methodological framework: analysis-diagnosis-praxis. The analysis of rationalization as a universal historical process of modernity in Weber’s sociology is rethought by Rosa as expansion and acceleration; disenchantment becomes a diagnosis of modernity and is recoded into alienation, while the concept of charisma is transformed into the key concept of resonance. (shrink)

In this article, we argue that scientists and technologists associated with the nuclear industry are building support for small modular reactors by advancing five rhetorical visions imbued with elements of fantasy that cater to various social expectations. The five visions are as follows: a vision of risk-free energy would eliminate catastrophic accidents and meltdowns. A vision of indigenous self-energization would see SMRs empowering remote communities and developing economies. A vision of water security would see SMR-powered desalination plants satisfying the world’s (...) water needs. A vision of environmental nirvana would see SMRs providing waste-free and carbon-free electricity to preserve the earth’s biosphere. A vision of space exploration would see SMRs assisting in the colonization of the moon, Mars, and possibly other worlds. These visions help create a symbolic convergence among promoters, serving to attract political and financial support, and erasing previous nuclear failures from public discourse. Moreover, underlying these visions is a technological utopian ideal world where SMRs would generate plentiful energy of multiple kinds, offering the necessary means for a life of comfort for all people by meeting various needs and without any environmental externalities or cause for concern about accidents. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Opining the articuli fidei:Thomas Aquinas on the Heretic’s Assent to the Articles of FaithM. V. DoughertyTHOMAS AQUINAS’S ACCOUNT of the infused virtue (habitus) of faith presupposes that some intrinsically intelligible truths are beyond the range of the natural cognitive abilities of human beings. The possession of the virtue of faith allows the believer to transcend certain natural epistemic limitations so that he can assent to truths that are necessary (...) for salvation. Consonant with the Catholic theological tradition, Aquinas refers to such truths as the articles of faith (articuli fidei), and stock examples include propositions concerning the Trinity and the Incarnation.1In light of the many and well-known texts from the Corpus Thomisticum that highlight the disproportion or incommensurability between the articles of faith and the natural cognitive abilities of human beings, it would not be unreasonable for one to assume that faith is required to assent to such articles of faith [End Page 1] in this life. Such an interpretive assumption could be expressed as:A1: A human being can assent to the articles of faith in this life if and only if the human being is fortified with the infused virtue of faith.One might be led to ascribe A1 to Aquinas when one considers that he criticizes the Pelagians precisely for maintaining that the assent to matters of faith is caused by nothing other than free will.2 Still further, one might think that strong evidence for A1 is Aquinas’s claim that “free will does not suffice for believing, since those things that are of faith are above reason.”3I argue, however, that A1’s identification of the virtue of faith as a necessary condition for the assent to the articles of faith does not adequately reflect Aquinas’s position, despite the many texts that may suggest such a view.4 That Aquinas does not endorse A1 can be made evident by examining his largely overlooked account of the epistemic state of the heretic (haereticus). To be sure, most commentators who explore the Thomistic treatment of heresy focus on the psychology of error underlying the heretic’s denial of one or more of the articles of faith.5 In the present paper I take an alternate path, however, focusing on those epistemic acts whereby the heretic gets its [End Page 2] right, so to speak, by correctly assenting to some of the articles of faith. Aquinas maintains that the heretic does not possess the infused virtue of faith yet still assents to all the articles of faith except for the one or more articles that he denies. Bereft of faith, the heretic “holds those things that are of faith by another mode than through faith.”6 This seemingly anomalous epistemic condition deserves consideration.7I. Intellects without FaithThe heretic appears to be cognitively privileged, since without faith he assents to the things that are of faith, seemingly overcoming without divine assistance the aforementioned disproportion between the limited range of reason and the articles of faith. Aquinas is aware of the apparent difficulty; in the Summa theologiae he defuses the rather unusual objection that heretics appear to have greater cognitive capacities than the faithful, since heretics routinely and unassistedly assent to those higher truths without possessing the virtue of faith.8 Aquinas concludes that the heretic holds the articles of faith by opinion (opinio), not faith.What makes one a heretic? Frequently Aquinas identifies obstinacy (pertinacia, instantia) as a necessary condition for heresy.9 The cause of heresy is at times identified with pride [End Page 3] (superbia).10 On Aquinas’s account, heresy is a species of unbelief (infidelitas) and every heretic is a schismatic.11 But the heretic does get many things right. If one were to deny all of the articles of faith, one would not qualify as a heretic, but would simply be a nonbeliever or an apostate. So, apart from the denial of an article (or a few articles) that specifies heretics as the distinct kind of heretic they happen to be, heretics for the most part succeed in assenting to most—but not all—of the articles of faith.Although the... (shrink)

‘Borders’ will be in the twenty-first century what ‘frontiers’ where in the nineteenth. Frontiers were conceived as the line indicating the last point in the relentless march of civilization. On the one side of the frontiers was civilization; on the other, nothing; just barbarism or emptiness. The march of civilization and the idea of the frontiers created a geographic and bodygraphic divide. Certain areas of the planet were designated as the location of the barbarians, and since the eighteenth century, of (...) the primitives. In one stroke, bodies were classified and assigned a given place on the planet. But who had the authority to enact such a classification, and what was the logic of that classification? Furthermore, the classification of the world by region, and the link established between regions and people inhabiting them, was parallel to the march of civilization and companions of it: on the other side of the epistemic frontiers, people do not think or theorize; hence, one of the reasons they were considered barbarians. (shrink)

t. 1. O Russkoĭ filosofii i literature : statʹi, ocherki i ret︠s︡enzii, 1912-1961 -- t. 2. O pravoslavii i religioznoĭ kulture : statʹi i ocherki, 1916-1957 --.

Vítima, quer do contexto, quer da sua recepção, a obra de Eric Weil (1904-1977), editada entre os anos 50 e 70 do século passado, não tem obtido o devido acolhimento pela comunidade filosófica. Se as interpretações magistrais de Kant (Problèmes kantiens. Paris: Vrin, 1970) e de Hegel (Hegel et l’état. Paris; Vrin, 1950) constituem referências cada vez mais frequentes nos trabalhos da especialidade (os quais persistem, contudo, em ignorar os importantes artigos sobre a filosofia dos dois autor...

One defining element of life in any Catholic educational institution, whether it be primary, secondary, or tertiary, is the focus on pastoral care for staff and students. This paper provides a distinctly Catholic definition of the term ‘pastoral care’ and briefly examines the theological foundations that underpin this concept, particularly, in relation to its application in the Catholic university. The paper traces the motif of pastoral care through the Scriptures and, building on insights from St. Pope John Paul II’s Apostolic (...) Constitution on Catholic Universities, Ex Corde Ecclesiae (1990) and the broader theological anthropology of the Vatican II Council. The paper highlights that pastoral care is not something of an extrinsically added offering to students in a Catholic educational institution, but rather something intrinsically built into its fabric. (shrink)

The article considers Max Weber’s model of plebiscitary leadership and historical examples of plebiscitary democracy. It is argued that there is no clear distinction between plebiscitary democracy and dictatorship inWeber’s writings. As Stefan Breuer demonstrates, such a distinction allows us to broaden the application of Weberian concepts. Plebiscitary elements can be seen in the political life of non-Western states, which have been discussed from the multiple modernities perspective. However, while that perspective develops the Weberian sociological tradition, its representatives mostly do (...) not use the concept of plebiscitary leadership. Thus, Shmuel Eisenstadt draws primarily on Weber’s sociology of religion in his analysis of different types of modernity. Specifically, Eisenstadt considers the impact of civilizational legacies on political processes in India and Latin America. Peter Wagner discusses the relevance of Weber’s rationalization thesis and theory of capitalism rather than the concepts of Weberian political sociology. In his study of democratization in Brazil and South Africa, Wagner emphasizes the progressive character of political changes but does not consider the possibility of a reversal of these processes. The article argues that the contemporary reconstruction of Weber’s model of plebiscitary leadership can complement the analyses of democratization in non-Western societies from the multiple modernities perspective. (shrink)