Hume’s famous argument against the credibility of testimony about miracles invokes two premises: 1) The reliability of the witness (the extent to which he is informed and truthful) must be compared with the intrinsic probability of the miracle. 2) The initial probability of a miracle is always small enough to outweigh the improbability that the testimony is false (even when the witness is assumed to be reliable). I defend the first premise of the argument, showing that Hume’s argument can be (...) applied to purported observations of miracles, as well. I then show that Hume failed to provide an adequate support for his second premise. A more cogent defence can be provided for a weaker premise. The resultant argument has, consequently, a less sweeping conclusion than Hume’s. (shrink)

Most foundationalists allow that relations of coherence among antecedently justified beliefs can enhance their overall level of justification or warrant. In light of this, some coherentists ask the following question: if coherence can elevate the epistemic status of a set of beliefs, what prevents it from generating warrant entirely on its own? Why do we need the foundationalist’s basic beliefs? I address that question here, drawing lessons from an instructive series of attempts to reconstruct within the probability calculus the classical (...) problem of independent witnesses who corroborate each other’s testimony. Starred section headings indicate sections omitted here, but available on the author’s USC website. (shrink)

The topic and methods of David Hume’s "Of Miracles" resemble his historiographical more than his philosophical works. Unfortunately, Hume and his critics and apologists have shared the prescientific, indeed ahistorical, limitations of Hume’s original historical investigations. I demonstrate the advantages of the critical methodological approach to testimonies, developed initially by German biblical critics in the late eighteenth century, to a priori discussions of miracles. Any future discussion of miracles and Hume must use the critical method to improve the quality and (...) relevance of the debate. (edited). (shrink)

In this paper, a problem for utility theory - that it would have an agent who was compelled to play “Russian Roulette’ with one revolver or another, to pay as much to have a six-shooter with four bullets relieved of one bullet before playing with it, as he would be willing to pay to have a six-shooter with two bullets emptied - is reviewed. A less demanding Bayesian theory is described, that would have an agent maximize expected values of possible (...) total consequence of his actions. And utility theory is located within that theory as valid for agents who satisfy certain formal conditions, that is, for agents who are, in terms of that more general theory, indifferent to certain dimensions of ‘risk’. Raiffa- and Savage-style arguments for its more general validity are then resisted. Addenda are concerned with implications for game theory, and relations between ‘utilities’ and ‘values’. (shrink)

What thesis is Hume trying to establish in his essay “On Miracles” and does he succeed? John Earman’s answer to the latter question is clearly conveyed by the title of his new book. Earman uses a Bayesian representation of the problem to make his case. For Earman, this mode of analysis is both perspicuous and nonanachronistic, in that probability reasoning was central to the 18th century debate about miracles in particular and testimony in general. Indeed, one of Hume’s most interesting (...) antagonists, Richard Price, was the person to whom Thomas Bayes entrusted his now-famous essay for posthumous publication. For Earman, Price is the proper Bayesian, while Hume’s essay provides only “rhetoric and schein geld”. Earman’s tone is consistently prosecutorial and sometimes snide; he says that his animus is not so much against Hume himself as against those who smugly invoke Hume’s essay as definitively settling the matter. This tone should not deter potential readers who are convinced that Hume’s essay contains something of value. Earman’s book is interesting and provocative in multiple ways—it places Hume’s essay in its historical setting, it offers an insightful close reading of the text, and it shows how the resources of Bayesianism can be powerfully put to work. Besides Earman’s own essay, the volume also contains Hume’s essay and relevant work by others, including Locke, Spinoza, Samuel Clarke, Price, Laplace, and Babbage. The book would be an excellent choice for an advanced undergraduate or graduate seminar. (shrink)

This paper is an essay review of John Earman's book,\nHume's Abject Failure--the Argument against Miracles\n(Oxford University Press, New York, 2000). Earman is very\ncritical of Hume's famous argument about miracles, I am\nmore sympathetic, though I grant that Earman makes many\ngood critical points. Earman's method of analysis is\nBayesian, as is mine.

The concept of burden of proof is used in a wide range of discourses, from philosophy to law, science, skepticism, and even in everyday reasoning. This paper provides an analysis of the proper deployment of burden of proof, focusing in particular on skeptical discussions of pseudoscience and the paranormal, where burden of proof assignments are most poignant and relatively clear-cut. We argue that burden of proof is often misapplied or used as a mere rhetorical gambit, with little appreciation of the (...) underlying principles. The paper elaborates on an important distinction between evidential and prudential varieties of burdens of proof, which is cashed out in terms of Bayesian probabilities and error management theory. Finally, we explore the relationship between burden of proof and several (alleged) informal logical fallacies. This allows us to get a firmer grip on the concept and its applications in different domains, and also to clear up some confusions with regard to when exactly some fallacies (ad hominem, ad ignorantiam, and petitio principii) may or may not occur. (shrink)

Peirce wrote that Hume’s argument against miracles (which is generally liked by twentieth century philosophers for its antireligious conclusion) "completely misunderstood the true nature of" ’abduction’. This paper argues that if Hume’s argumentative strategy were seriously used in all situations (not just those in which we seek to "banish superstition"), it would deliver a choking epistemological conservatism. It suggests that some morals for contemporary naturalistic philosophy may be drawn from Peirce’s argument against Hume.

This article proposes that a general theory of assessment of historical testimony should do justice to the long tradition of adjudication in accordance with maxims of reliability and competence. I argue that an explanatory genealogical theory (along lines first adumbrated by Charles Seignobos) satisfies this condition, and that it has further notable virtues: respect for the strengths of rival theories, regard for the links between adjudication of testimony and other basic procedures of historical inquiry, and the promise of profitable lines (...) of investigation. (shrink)

Hume's essay ‘Of Miracles’ has been a focus of controversy ever since its publication. The challenge to Christian orthodoxy was only too evident, but the balance-of-probabilities criterion advanced by Hume for determining when testimony justifies belief in miracles has also been a subject of contention among philosophers. The temptation for those familiar with Bayesian methodology to show that Hume's criterion determines a corresponding balance-of-posterior probabilities in favour of miracles is understandable, but I will argue that their attempts fail. However, I (...) show that his criterion generates a valid form of the so-called No-Miracles Argument appealed to by modern realist philosophers, whose own presentation of it, despite their possession of the probabilistic machinery Hume himself lacked, is invalid. (shrink)

Hume's argument concerning miracles is interpreted by making approximations to terms in Bayes's theorem. This formulation is then used to analyse the impact of multiple testimony. Individual testimonies which are ‘non-miraculous’ in Hume's sense can in principle be accumulated to yield a high probability both for the occurrence of a single miracle and for the occurrence of at least one of a set of miracles. Conditions are given under which testimony for miracles may provide support for the existence of God.

La tesis sostenida por David Hume en su ensayo sobre los milagros, contenida en el capítulo X de su primera Investigación, ha sido objeto continuo de interés. Sus detractores han sostenido que el conjunto del argumento de Hume fracasa. Tras reconstruir los dos argumentos proporcionados por Hume -argumento a priori y argumento a posteriori- proponemos establecer una distinción entre milagrosn y milagros para concluir que el argumento de Hume justifica el escepticismo respecto a estos últimos. En definitiva, el argumento de (...) Hume, lejos de pretender en última instancia probar la inexistencia de los milagros como un factum dentro del orden natural, tiene por objeto demarcar la distinción entre creencias científicas y creencias religiosas como dos ámbitos que deben considerarse de manera separada. Esta diferenciación ha contribuido de manera decisiva a conformar la separación entre Ciencia y Religión propia de las sociedades secularizadas contemporáneas. (shrink)