It has been observed that whereas painters and musicians are likely to be embarrassed by references to the beauty in their work, mathematicians instead like to engage in discussions of the beauty of mathematics. Professional artists are more likely to stress the technical rather than the aesthetic aspects of their work. Mathematicians, instead, are fond of passing judgment on the beauty of their favored pieces of mathematics. Even a cursory observation shows that the characteristics of mathematical beauty are at variance (...) with those of artistic beauty. For example, courses in art appreciation are fairly common; it is however unthinkable to find any mathematical beauty appreciation courses taught anywhere. The purpose of the present paper is to try to uncover the sense of the term beauty as it is currently used by mathematicians. (shrink)

In a recent paper, William Hasker has responded to a paper of mine criticizing his argument for theological incompatibilism. In his response, Hasker makes a small but important amendment to his account of freedom. Here I argue that Hasker’s amended account of freedom is false, that there is a plausible alternative account of freedom, and that the plausibility of this alternative account shows that Hasker’s argument for theological incompatibilism relies on a dubious premise.

Pascal's wager is an argument in support of religious belief taking its name from the seventeenth century polymath Blaise Pascal. Unlike more traditional arguments for the existence of God, Pascal's wager is a pragmatic argument, concluding not that God exists but that one should wager for God; that is, one should live as if God exists. After an introduction to the elements of decision theory needed to understand the wager, I discuss the interpretation of Pascal's reasoning in the Infini rien (...) fragment of the Pensees, in which he presents several versions of a wager-style argument. Recent discussions of the role of the wager within Pascal's overall project of Christian apologetics are also examined. I then review contemporary formulations of, attacks on, and objections to Pascal's wager. Recent authors have pressed moral objections, epistemological objections, objections relating to infinite utilities, the many Gods objection, and objections to the expectation rule, among others. After an examination of this literature, I conclude with a brief discussion of noncanonical versions of the wager, including Jeff Jordan's Jamesian wager. (shrink)

In this paper I defend the eternity solution to the problem of human freedom and divine foreknowledge. After motivating the problem, I sketch the basic contours of the eternity solution. I then consider several objections which contend that the eternity solution falsely implies that we have various powers (e.g., to change God’s beliefs, or to affect the past) which, according to the objector, we do not in fact have.

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ABSTRACT This article outlines the concept of the early modern idea of religion through the notion of sacrifice, from Socinus on through Grotius and Spinoza to Diderot’s Encyclopedia. It is generally held that the philosophical representation of religion of the seventeenth century ‘set the stage’ for later Enlightenment philosophers. My argument runs in a different direction. I intend to show that the Enlightenment philosophers’ concept of religious history stemmed not only from the philosophical tradition, but also from their knowledge of (...) antiquarianism. In order to understand the genealogy of the Enlightenment idea of religion it is essential to acknowledge its roots in the antiquarian history of religions of the seventeenth century when a new idea of religious belief emerged with practice of sacrifice at its core. Grotius and the antiquarians inquired into whether religion was a universal phenomenon, what were its categories – such as belief and sacrifice – and the truth and falsehood of these. Diderot considered this history of sacrifice and ceremonies as the fundamental ‘deed’ of the religious experience, which he analysed employing both the philosophical and the historical perspectives through the category of fetishism. (shrink)

In this article I examine a common objection to the fine-tuning argument (an objection which may be referred to as the atheistic many universes (AMU) objection). A reply to this objection due to Roger White has been the subject of much controversy; White's reply has been criticized by Rodney Holder, on the one hand, and Neil Manson and Michael Thrush on the other. In this paper I analyze Holder's work in an effort to determine whether the AMU objection successfully defeats (...) the fine-tuning argument. I conclude that the fine-tuning argument can be reformulated so as to avoid the AMU objection. (shrink)

The standard version of Pascal’s Wager suffers from serious problems. In this paper I present a modified version of a Wager-style argument that avoids several of the most serious objections to the standard version, viz., the objections of Duff and Hájek relating to infinite utilities, moral objections concerning the use of pragmatic considerations, and the many-gods objection. I argue that a serious commitment to living a Christian life is rational (and the failure to make such a commitment is irrational) if (...) one is rational in assigning a credence to Christianity of at least one-half. The upshot is that considerations of practical rationality dramatically lower the bar for natural theology. (shrink)

Benedetto Croce was the author of the most important and original theory of history in the 20th century. His theory was that of ‘absolute historicism’, and this necessarily entailed an acute critique of inherited ideas about the Enlightenment. This article studies both Croce's theoretical analysis of Enlightenment and his historical analysis of the Neapolitan Enlightenment. Croce's interest in the Enlightenment had political as well as philosophical roots. All over Europe in the 1920s and 1930s historical and theoretical research was occurring (...) into in the Age of Enlightenment. The broad goal of such research was to bring forth a new concept of reason, which would have purchase in the contemporary debate about rationalism and irrationalism. This debate, which flourished in the era of totalitarian regimes, raised a series of further questions: What was culture? What was the task of culture in the fight against political irrationalism? What was the relationship between culture and the growth of public opinion? With respect to the latter relationship an important role was played by intellectuals, as evinced by the works of Benda, Max Weber and Croce himself. The genealogy of the modern intelligentsia led again to Enlightenment. In the third part of the article Croce's position on this issue is discussed in the light of his historical researches on Enlightenment by reference to his correspondence with two young historians, Delio Cantimori and Franco Venturi. (shrink)

One of the key concepts in XVIII century political thought was despotism. Also Diderot utilised this complex idea. According to him, who followed Hobbes and Montesquieu, despotism was the result of the love of power, which was able to bring forth the passion of fear in the society. In this sense, Machiavelli belonged to this line of reflection: like that of Hobbes, his system was intended to show the danger of despotism and to learn the true foundation of natural law. (...) But rethinking this paradox Diderot was led to elaborate a new theory of despotism, no longer based on the mechanism of power. His interpretation of Machiavelli – and Hobbes – had opened up a new perspective, which did not move from the enigma of power – Machiavelli's and Hobbes’ chief concern – but from the nature of subjection. Along this path Diderot came across de la Boëtie's Discours de la servitude volontaire, which explained the origin of despotism in a different way. Despotism was not the result of the passion of fear, but of that of interest. The discussion of these two different ideas of despotism led Diderot to a new perspective from which he answered the problem of liberty in an original way. (shrink)

In part one of this book I argue for the conditional claim that if Christianity has at least a 50% epistemic probability, then it is rational to commit to living a Christian life (and irrational not to). This claim is supported by a contemporary version of Pascal's wager. In part two, I then proceed to argue that Christianity does have at least a 50% epistemic probability, by advancing versions of the cosmological argument, the fine-tuning argument, and historical arguments for the (...) plausibility of the resurrection (along with a few other relevant considerations). Assessments of the problem of evil and divine hiddenness are also given. Finally, in part three, I discuss the lives of three Christians from the 20th century (Dietrich Bonhoeffer, Jean Vanier, and Immaculee Ilibagiza) in an effort to illustrate how a life of Christian commitment is not just reasonable, but worth desiring as well--satisfying both the head and the heart. (shrink)

Husserl’s Third Logical Investigation, ostensibly dealing with the phenomenology of whole and parts, is actually meant to introduce the notion of Fundierung. This term is frequently used in the phenomenological literature, although little has been written about Fundierung itself since Husserl introduced it. Husserl himself, although he used it extensively, never again felt the need to reopen the discussion.

In God, Time, and Knowledge, William Hasker presents a powerful argument against “theological compatibilism,” which, in this context, refers to the view that divine foreknowledge is compatible with libertarian free will. In this paper I show that Hasker’s views on free will, as expressed in God, Time, and Knowledge, are inconsistent with his own account of hard facts. I then consider four ways to remove the inconsistency and argue that the first two are untenable for the libertarian, while the remaining (...) two leave the theological compatibilist in a good position to respond to the dilemma of freedom and foreknowledge. Along the way, I attempt to defuse Hasker’s argument that Anselmian eternalism is “fatal to libertarian free will.”. (shrink)

We shall argue that the attempt carried out by certain philosophers in this century to parrot the language, the method, and the results of mathematics has harmed philosophy. Such an attempt results from a misunderstanding of both mathematics and philosophy, and has harmed both subjects.

SummaryThe Enlightened theory of civilisation was expressed through the formula of ‘doux commerce’, a form of commerce which acknowledged the need for the European conquest of non-European lands and nations, and the opportunity to bring European civilisation to other peoples without violence. Montesquieu was the first to express this idea, condemning the Spanish conquest and empire. In the Histoire des deux Indes, this idea was dramatically discussed: Raynal wanted to defend it; Diderot dismantled this project showing that civilisation was but (...) the mask of violent conquest. In this way the latter offered an extraordinary refutation of both Enlightened ideology and its strategy of civilisation. (shrink)

La prima parte dello studio analizza il razzismo spiritualistico di Julius Evola, maturato negli anni Trenta e confluito in due volumi intitolati Il mito del sangue e Sintesi di dottrina della razza . Nella formulazione delle sue teorie, Evola si muove in continuità con la tradizione razzistica occidentale. La seconda parte è una rassegna delle principali linee interpretative su Evola, da sempre influenzate da uno scritto autobiografico dello stesso filosofo, Il cammino del cinabro, e dalla fama sinistra a lui legata. (...) Lo scritto si conclude con alcune considerazioni sul periodo speculativo evoliano, fortemente dipendente dall’attualismo ed espresso nei volumi degli anni Venti. (shrink)

Current interpretations of Aquinas often attribute to him the claim that no artifact is a substance, or, more precisely, the claim that, (A1) No artifact is a substance in virtue of its form. Robert Pasnau, for example, tells us that “Aquinas is committed to the view that all artifacts are nonsubstances with respect to their form.” And Eleonore Stump writes: "An artifact is thus a composite of things configured together into a whole but not by a substantial form. Since only (...) something configured by a substantial form is a substance, no artifact is a substance." In fact, however, Aquinas’s position on the metaphysical status of artifacts is more nuanced than these standard interpretations suppose. This paper will examine three hitherto overlooked passages in Aquinas’s writings in an attempt to clarify his position, and to show how it (his actual position) can overcome some of the philosophical problems which pose difficulties for the stronger claims often attributed to him. (shrink)

Many cosmological arguments for the existence of a first cause or a necessary being rely on a premise which denies the possibility of an infinite regress ofsome particular sort. Adequate and satisfying support for this premise, however, is not always provided. In this paper I attempt to address this gap in the literature. After discussing the notion of a causal explanation (section I), I formulate three principles which govern any successful causal explanation (section II). I then introduce the notions of (...) a caused being, a causal network, and a causal chain, and argue that (roughly) an infinite causal chain cannot be explained merely by reference to the causal activities of the members of that chain (section III). In a sequel to the present paper, I employ this result to construct two closely related arguments for the existence of a necessary being. (shrink)

Tra gli intellettuali italiani della seconda metà del Novecento, Norberto Bobbio ha giocato un ruolo di grande importanza. Girolamo Cotroneo è intervenuto, spesso in maniera polemica per discutere le posizioni assunte da Bobbio di fronte ai problemi più pressanti del dibattito politico. Ad ognuno degli interventi Bobbio ha replicato con una lettera privata all’autore. Quegli articoli e le lettere di Bobbio sono contenute ora in questo volume che costituisce un prezioso documento per una maggiore conoscenza di taluni aspetti del (...) dibattito politico italiano di un passato recente. (shrink)

SummaryThe problem of converting the Amerindian world to Catholicism was given a radically new solution, both at a theoretical and a missionary level, by the Jesuit Acosta: since American societies were of a completely different nature to Mediterranean ones, the preaching of the Gospel, too, had to be different from the classical approach. He gave a new definition to both preaching and American societies, especially the latter's religion and social organisation. Acosta's approach to American sauvagerie was pioneering; he conceptualised ideas (...) that had never been thought of before. There existed societies which were neither barbarous nor political (like the empires of Incan Peru and Aztec Mexico), which nonetheless had social organisation. With regard to their religious life, Acosta maintained that cult and belief without faith was not a sign of atheism, but of an early form of religion. These two reassessments gave rise to a new image of the savage society, which attained enormous success, even outside the missionary world. Fitting the theological structure into the secularised theories of radical enlightenment, both Locke and Hume had recourse to the ethnologic aspects which Acosta had set out. (shrink)

a Mathematicians, like Proust and everyone else, are at their best when writing about their first lovea (TM) a ] They are among the very best we have; and their best is very good indeed. a ] One approaches this book with high hopes. Happily, one is not disappointed. a ]In paperback it might well have become a best seller. a ]read it. From The Mathematical Intelligencer Mathematics is shaped by the consistent concerns and styles of powerful minds a three (...) of which are represented here. Kaca (TM)s work is marked by deep commitment and breadth of inquiry. Rota is the easiest of these authors to reada ]a delight: witty and urbane, with a clear and interesting agenda and an astonishing intellectual range. To read him is to be a part of a pleasant and rewarding conversation. Jacob T. Schwartz attacks problems ina ]computer science, mathematical economics, computer and instructional a ] No matter how slippery the problem, Schwartz manages to capture a substantial chunk of it in his mathematical net. a Mathematics Magazine This is a volume of essays and reviews that delightfully explore mathematics in all its moods a from the light and the witty, and humorous to serious, rational, and cerebral. Topics include: logic, combinatorics, statistics, economics, artificial intelligence, computer science, and applications of mathematics broadly. You will also find history and philosophy covered, including discussion of the work of Ulam, Kant, Heidegger among others. (shrink)

v. 1. Compendium logicae. Apologeticus de ratione poeticae artis. Trattato contra li astrologi -- v. 2. Compendium philosophiae naturalis, Compendium philosophiae moralis.

Fahr’s disease is a rare idiopathic degenerative disease characterized by calcifications in the brain, and has also been associated with balance impairment. However, a detailed analysis of balance in these patients has not been performed. A 69-year-old woman with Fahr’s disease presented with a long-lasting subjective imbalance. Balance was analyzed using both clinical and instrumented tests. The patient’s balance was normal during clinical tests and walking. However, during standing, a striking impairment in vestibular control of balance emerged. The balance behavior (...) displayed mixed parkinsonian and cerebellar features, with a discrepancy between the high severity of the static and the low severity of the dynamic balance impairment. The balance impairment characteristics outlined in this study could help neurologists and physiatrists detect, stage, and treat this rare condition. (shrink)

LIKE ARTISTS WHO FAIL TO GIVE an accurate description of how they work, like scientists who believe in unrealistic philosophies of science, mathematicians subscribe to a concept of mathematical truth that runs contrary to the truth.

Does a free agent have the power to will otherwise even at the very moment she is making a particular free choice? That is, when one is freely making some choice at a time T, does one also have the power to refrain from so choosing at T? The diachronic account of contingency and freedom says “no,” while the synchronic account says “yes.” In this paper I first address William Hasker’s criticisms of my earlier presentation of the synchronic account, and (...) then present an argument against the diachronic account. If successful, my arguments offer support for the compatibility of human freedom and divine foreknowledge. (shrink)

[1. Without special title] -- [2]. Anastatica.