A person who does not have good intellectual reasons for believing in God can, depending on his probabilities and values for consequences of believing, have good practical reasons. Pascalian wagers founded on a variety of possible probability/value profiles are examined from a Bayesian perspective central to which is the idea that states and options are pragmatically reasonable only if they maximize subjective expected value. Attention is paid to problems posed by representations of values by Cantorian infinities. An appendix attends to (...) Robinsonian hyperreals. Another appendix presents for comparison Newcomb's Problem and a problem in some ways like it suggested, I think, by ideas of John Calvin. (shrink)

This paper defends a Bayesian approach to confirming a miracle against Jordan Howard Sobel’s recent novel interpretation of Hume’s criticisms. In his book, ’Logic and Theism’, Sobel offers an intriguing and original way to apply Hume’s criticisms against the possibility of having sufficient evidence to confirm a miracle. The key idea behind Sobel’s approach is to employ infinitesimal probabilities to neutralize the cumulative effects of positive evidence for any miracle. This paper aims to undermine Sobel’s (...) use of infinitesimal probabilities to block a Bayesian approach to confirming a miracle. (shrink)

John Howard Whitehouse was a British educationalist, social reformer and the founder of Bembridge School on the Isle of Wight. Originally published in 1913, this book contains a series of essays by Whitehouse on the creation of a national education system. The text was issued with the general approval of the executive committee of the Liberal Education Group of the House of Commons. This book will be of value to anyone with an interest in the writings of Whitehouse (...) and the history of education. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:American Journal of Philology 124.2 (2003) 306-309 [Access article in PDF] Philippe Rouet. Approaches to the Study of Attic Vases: Beazley and Pottier. Trans. Liz Nash. Oxford Monographs on Classical Archaeology. Oxford: Oxford University Press, 2001. xiii + 167 pp. 21 black and white plates. Cloth, $74. This monograph examines the development of two major approaches in the study of Greek vase painting by focusing on a comparison of (...) the work of Sir John D. Beazley with that of Edmond Pottier. Beazley, an English scholar, spent his scholarly life attributing vases to various formerly unnamed artists based on [End Page 306] their style of drawing, thereby ascertaining for the first time the artistic history and stylistic development of Attic black-figure and red-figure vase painting. Pottier, a French scholar, founded the Corpus Vasorum Antiquorum, an international series whose original goal was to publish all ancient clay vases. Each scholar's interests contrasted with the other's in many ways. Beazley's work focused more on the object and Athens, while Pottier was opposed to the study of individual artists and was particularly interested in the relationship of the origins of Greek civilization to the East and the broader context of the vessels.The book's introduction sets the historical and intellectual background of Beazley and Pottier. Areas covered include the early history of collecting, initial attempts at defining the works of individual Greek vase painters, some influential early catalogues of Greek vases (e.g., those of Hamilton's collection), and the role that the copying of motifs from ancient pottery had in spreading the interest in Greek vase painting in the late eighteenth and early nineteenth centuries, particularly the part played by the Wedgwood workshop. I miss here any reference to the fine work of Brian A. Sparkes on these subjects (The Red and the Black: Studies in Greek Pottery[London and New York, 1996] 34-63).The first chapter considers the most influential, immediate predecessors of Beazley and shows how their work formed the intellectual framework for his accomplishment. They are Wilhelm Klein, whose important study of and signatures on Attic vases still serves as the basis for our interpretation of them; Paul Hartwig, who was the first to attribute vases to an anonymous master; and Adolph Furtwängler, who in collaboration with Karl Reichhold initiated the monumental three-volume work, Griechische Vasenmalerei, which featured exceptionally accurate drawings of vase paintings. The author astutely notes that Furtwängler's work on attributing Roman copies of Greek sculpture to artists was likewise influential in augmenting the interest in style and artistic personalities. The intertwined relationship between connoisseurship, collectors, and the art market is touched on briefly in the discussions of Hartwig and Edward Warren. It might also have been noted here that the wording and style of Beazley's earliest work on the Kleophrades Painter clearly owes its inspiration to Hartwig.Pottier's early life and career are the focus of the next chapter. This was the time when museum catalogues and encyclopedic dictionaries were for many the signs of significant national scholarship. Indeed, after France's loss in 1870 in the Franco-Prussian War, Pottier and many of his contemporary compatriots sought to affirm the intellectual vitality of their nation by initiating and completing such projects. Pottier's contribution was to publish Vases antiques du Louvre, in which photography was used for the first time on a large scale to illustrate the vases, and to serve as one of the editors of the Dictionnaire des antiquités grecques et romaines, in which he was also responsible for many of the entries on vases.Chapter 3 returns to the subject of connoisseurship and the two non-classical archaeologists whose methodology bear clear resemblances to Beazley's. The first of them, Giovanni Morelli, was the first to attempt a scientific methodology for attributing paintings to unknown artists by examining the minor details [End Page 307] of drawings in order to discover the artistic language of the painters. Rouet concludes that Morelli paved the way for Beazley's work, for... (shrink)

The need to address our question arises from two sources, one in Kant and the other in a certain type of response to so-called Reformed epistemology. The first source consists in a tendency to distinguish theoretical beliefs from practical beliefs (commitments to the world's being a certain way versus commitments to certain pictures to live by), and to treat theistic belief as mere practical belief. We trace this tendency in Kant's corpus, and compare and contrast it with Aquinas's view and (...) a more conservative Kantian view. We reject the theistic-belief-as-mere-practical-belief view: it is bad descriptive anthropology, it embraces a misguided ideal of a fragmented self unattainable by human beings, and it will deter people from the most desirable sort of faith. The second source consists in the idea that since theistic beliefs function as answers to why-questions, their epistemic status hangs on whether they meet certain distinctively explanatory standards, whatever support they might receive from other sources. We argue that this is a non-sequitur and suggest questions for further research. (shrink)

J. Howard Sobel has long been recognized as an important figure in philosophical discussions of rational decision. He has done much to help formulate the concept of causal decision theory. In this volume of essays Sobel explores the Bayesian idea that rational actions maximize expected values, where an action's expected value is a weighted average of its agent's values for its possible total outcomes. Newcomb's Problem and The Prisoner's Dilemma are discussed, and Allais-type puzzles are viewed from (...) the perspective of causal world Bayesianism. The author establishes principles for distinguishing options in decision problems, and studies ways in which perfectly rational causal maximizers can be capable of resolute choices. Sobel also views critically Gauthier's revisionist ideas about maximizing rationality. This collection will be a desideratum for anyone working in the field of rational choice theory, whether in philosophy, economics, political science, psychology or statistics. Howard Sobel's work in decision theory is certainly among the most important, interesting and challenging that is being done by philosophers. (shrink)

This is a wide-ranging 2004 book about arguments for and against beliefs in God. The arguments for the belief are analysed in the first six chapters and include ontological arguments from Anselm to Gödel, the cosmological arguments of Aquinas and Leibniz, and arguments from evidence for design and miracles. The next two chapters consider arguments against belief. The last chapter examines Pascalian arguments for and against belief in God. There are discussions of Cantorian problems for omniscience, of challenges to divine (...) omnipotence, and of the compatibility of everlasting complete knowledge of the world with free-will. There are appendices that present formal proofs in a system for quantified modal logic, a theory of possible worlds, notes on Cantorian set theory, and remarks concerning non-standard hyperreal numbers. This book will be a valuable resource for philosophers of religion and theologians and will interest logicians and mathematicians as well. (shrink)

To resolve putative liar paradoxes it is sufficient to attend to the distinction between liar-sentences and the propositions they would express, and to exercise the option of turning would-be deductions of paradox (of contradictions) into reductions of the existence of those propositions. Defending the coherence of particular resolutions along these lines, leads to recognition of the non-extensionality of some liar-sentences. In particular, it turns out that exchanges of terms for identicals in the open-sentence '- does not expression a true proposition' (...) are not invariably truth-preserving because they are not invariably proposition-expression preserving. All of this recommends propositions as fruitful subjects of interesting renewed research. (shrink)

Hartshorne derives that, “There is a perfect being, or perfection exists,” from the premises that, “perfection is not impossible,” and that, “perfection could not exist contingently.” (Hartshorne 1962, pp. 50-1.).

What we make of information we come to have should take into account that we have come to have it, and how we think we have come to have it. I relate this homily to several puzzles. One has to do with three cards one of which is a king, and another with three prisoners one of whom will be released. Then I take up the question, What is it that makes that homily remarkable for these cases, and makes them (...) puzzles? An appendix takes up second-ace problems. (shrink)

The apparent tension between the moral codes of the Old and New Testaments constitutes a perennial problem for Christian ethics. Scholars who have taken this problem seriously have often done so in ways that presume sharp discontinuity between the Testaments. They then proceed to devise a system for identifying what is or is not relevant today, or what pertains to this or that particular social sphere. John Howard Yoder brings fresh perspectives to this perennial problem by refuting the (...) presumption of intratestamental discontinuity. Throughout multiple scattered works on the Old Testament, Yoder offers a coherent and provocative narration that culminates in the way of Christ and establishes the ethical continuity of the entire biblical canon. This essay presents the basic parameters of Yoder's Old Testament narration, suggests points where revision is needed, and highlights several implications for social ethics. (shrink)

This paper addresses issues raised by recent discussion in normative ethics which concern relations between properties of individual actions and of certain groups of actions. First, an ambiguity common to ?everyone can? and ?everyone ought? is examined. Next, a similar ambiguity in talk about consequences is studied; here several procedures for identifying and evaluating consequences are compared. Then a notation that untangles the ambiguities is presented. Next, this notation is employed in an analysis of Marcus Singer's deduction of his generalization (...) argument. Finally, there is a study of the question as to whether or not conflicts are possible between Singer's generalization argument and the dictates of consequences of individual actions. The findings are that such conflicts are or are not possible depending upon how a certain restriction on generalization arguments is interpreted, and that in either case the proponent of generalization arguments is faced with problems. (shrink)

The token in the box in this paper of a sentence does not express a proposition. Why not? Because if it did it would express a proposition that was, amongst other things, about this token of that sentence, and that thus said that it was not true. No proposition can say that of itself.

(forthcoming in Oxford Readings in the Philosophy of Religion).

The sentential calculus SC of Kalish and Montague is extended to modal sentences. Rules of inference and a derivation procedure are added. The resultant natural deduction system SMC is like a system for S4 due to Fitch, but SMC is for S5 and the restriction on necessity derivation concerns.terminations of such derivations whereas the restriction on strict subordinate proof in Fitch's system concerns the line-by-line development of such proofs. An axiomatic system AxMC for S5 founded on SC is presented and (...) it is shown that SMC and AxMC are equivalent : what ever is derivable in one system is derivable in the other. (shrink)

20 June 2004. In “The Appointment,” Puzzles for the Will, 1998, Chapter II, Appendix, I say that the provenance of the tale was then unsettled. Jeffrey Archer wrote that it remained so in 2000 “despite extensive research”.