Martin Smith

In Knowledge and Lotteries, John Hawthorne offers a diagnosis of our unwillingness to believe, of a given lottery ticket, that it will lose a fair lottery – no matter how many tickets are involved. According to Hawthorne, it is natural to employ parity reasoning when thinking about lottery outcomes: Put roughly, to believe that a given ticket will lose, no matter how likely that is, is to make an arbitrary choice between alternatives that are perfectly balanced given one’s evidence. It’s natural to think that parity reasoning is only applicable to situations involving lotteries dice, spinners etc. – in short, situations in which we are reasoning about the outcomes of a putatively random process. As I shall argue in this paper, however, there are reasons for thinking that parity reasoning can be applied to any proposition that is less than certain given one’s evidence. To see this, we need only remind ourselves of a kind of argument employed by John Pollock and Keith Lehrer in the 1980s. If this argument works, then believing any uncertain proposition, no matter how likely it is, involves a (covert) arbitrary or capricious choice – an idea that contains an obvious sceptical threat.

In this paper I draw attention to a peculiar epistemic feature exhibited by certain deductively valid inferences. Certain deductively valid inferences are unable to enhance the reliability of one's belief that the conclusion is true—in a sense that will be fully explained. As I shall show, this feature is demonstrably present in certain philosophically significant inferences—such as GE Moore's notorious 'proof' of the existence of the external world. I suggest that this peculiar epistemic feature might be correlated with the much discussed phenomenon that Crispin Wright and Martin Davies have called 'transmission failure'—the apparent failure, on the part of some deductively valid inferences to transmit one's justification for believing the premises.

Entitlement is defined as a sort of epistemic justification that one can possess by default – a sort of epistemic justification that does not need to be earned or acquired. Epistemologists who accept the existence of entitlement generally have a certain anti-sceptical role in mind for it – entitlement is intended to help us resist what would otherwise be compelling radical sceptical arguments. But this role leaves various details unspecified and, thus, leaves scope for a number of different potential conceptions of entitlement. At one extreme there are conceptions that portray entitlement as a weak, attenuated epistemic status and, at the other, we have conceptions that portray entitlement as something potent and strong. Certain intermediate conceptions are also possible. In this paper, I shall argue that the weak and intermediate conceptions of entitlement do not survive careful scrutiny, and the stronger conceptions – while they do, in a way, strain credulity – are the only conceptions that are ultimately viable.

Say that two goals are normatively coincident just in case one cannot aim for one goal without automatically aiming for the other. While knowledge and justification are distinct epistemic goals, with distinct achievement conditions, this paper begins from the suggestion that they are nevertheless normatively coincident—aiming for knowledge and aiming for justification are one and the same activity. A number of surprising consequences follow from this—both specific consequences about how we can ascribe knowledge and justification in lottery cases and more general consequences about the nature of justification and the relationship between justification and evidential probability. Many of these consequences turn out to be at variance with conventional, prevailing views

The epistemology of religion is the branch of epistemology concerned with the rationality, the justificatory status and the knowledge status of religious beliefs – most often the belief in the existence of an omnipotent, omniscient and loving God as conceived by the major monotheistic religions. While other sorts of religious beliefs – such as belief in an afterlife or in disembodied spirits or in the occurrence of miracles – have also been the focus of considerable attention from epistemologists, I shall concentrate here on belief in God. There were a number of significant works in the epistemology of religion written during the early and mid Twentieth Century. The late Twentieth Century, however, saw a surge of interest in this area, fuelled by the work of philosophers such as William Alston, Alvin Plantinga and Linda Zagzebski amongst others. Alston, Plantinga and Zagzebski succeeded in importing, into the epistemology of religion, various new ideas from mainstream epistemology – in particular, externalist approaches to justification, such as reliabilism, and virtue theoretic approaches to knowledge (see, for instance, Alston, 1986, 1991, Plantinga, 1988, 2000, Zagzebski, 1993a, 1993b). This laid fertile ground for new research – questions about the justificatory and knowledge status of belief in God begin to look very different when viewed through the lens of theories such as these. I will begin by surveying some of this groundbreaking work in the present article, before moving on to work from the last five years – a period in which the epistemology of religion has again received impetus from a number of ideas from mainstream epistemology; ideas such as pragmatic encroachment, phenomenal conservatism and externalist theories of evidence.

This book explores a question central to philosophy--namely, what does it take for a belief to be justified or rational? According to a widespread view, whether one has justification for believing a proposition is determined by how probable that proposition is, given one's evidence. In this book this view is rejected and replaced with another: in order for one to have justification for believing a proposition, one's evidence must normically support it--roughly, one's evidence must make the falsity of that proposition abnormal in the sense of calling for special, independent explanation. This conception of justification bears upon a range of topics in epistemology and beyond. Ultimately, this way of looking at justification guides us to a new, unfamiliar picture of how we should respond to our evidence and manage our own fallibility. This picture is developed here.

There are a number of apparent parallels between belief in God and belief in the existence of an external world beyond our experiences. Both beliefs would seem to condition one's overall view of reality and one's place within it – and yet it is difficult to see how either can be defended. Neither belief is likely to receive a purely a priori defence and any empirical evidence that one cites either in favour of the existence of God or the existence of the external world would seem to blatantly beg the question against a doubter. I will explore just how far this parallel can be pushed by examining some strategies for resisting external world scepticism1

_ Source: _Page Count 9 Global sceptical arguments seek to undermine vast swathes of our putative knowledge by deploying hypotheses that posit massive deception or error. Local sceptical arguments seek to undermine just a small region of putative knowledge, using hypotheses that posit deception or error of a more mundane kind. Those epistemologists who have devised anti-sceptical strategies have tended to have global sceptical arguments firmly in their sights. I argue here that local sceptical arguments, while less dramatic, ultimately pose just as serious a challenge to our epistemic self-image and that some prominent anti-sceptical strategies are very poorly placed to meet it

Tom Stoppard’s “Rosencrantz and Guildenstern Are Dead” opens with a puzzling scene in which the title characters are betting on coin throws and observe a seemingly astonishing run of 92 heads in a row. Guildenstern grows uneasy and proposes a number of unsettling explanations for what is occurring. Then, in a sudden change of heart, he appears to suggest that there is nothing surprising about what they are witnessing, and nothing that needs any explanation. He says ‘…each individual coin spun individually is as likely to come down heads as tails and therefore should cause no surprise each time it does.’ In this article I argue that Guildenstern is right – there is nothing surprising about throwing 92 heads in a row. I go on to consider the relationship between surprise, probability and belief.

In ‘Single premise deduction and risk’ (2008) Maria Lasonen-Aarnio argues that there is a kind of epistemically threatening risk that can accumulate over the course of drawing single premise deductive inferences. As a result, we have a new reason for denying that knowledge is closed under single premise deduction—one that mirrors a familiar reason for denying that knowledge is closed under multiple premise deduction. This sentiment has more recently been echoed by others (see Schechter 2011). In this paper, I will argue that, although there is a kind of risk that can accumulate over the course of drawing single premise deductive inferences, it is importantly different to the kind of risk that multiple premise deductive inferences can introduce. Having distinguished these two kinds of risk, I shall offer some reasons for thinking that the kind associated with single premise deductions is, in fact, epistemically benign—it poses no threat, in and of itself, to the knowledge status of a belief. If this is right, then Lasonen-Aarnio’s argument against single premise closure is unsuccessful

Entitlement is conceived as a kind of positive epistemic status, attaching to certain propositions, that involves no cognitive or intellectual accomplishment on the part of the beneficiary — a status that is in place by default. In this paper I will argue that the notion of entitlement — or something very like it — falls out of an idea that may at first blush seem rather disparate: that the evidential support relation can be understood as a kind of variably strict conditional (in the sense of Lewis 1973). Lewis provided a general recipe for deriving what he termed inner modalities from any variably strict conditional governed by a logic meeting certain constraints. On my proposal, entitlement need be nothing more exotic than the inner necessity associated with evidential support. Understanding entitlement in this way helps to answer some common concerns — in particular, the concern that entitlement could only be a pragmatic, and not genuinely epistemic, status.

Given a few assumptions, the probability of a conjunction is raised, and the probability of its negation is lowered, by conditionalising upon one of the conjuncts. This simple result appears to bring Bayesian confirmation theory into tension with the prominent dogmatist view of perceptual justification – a tension often portrayed as a kind of ‘Bayesian objection’ to dogmatism. In a recent paper, David Jehle and Brian Weatherson observe that, while this crucial result holds within classical probability theory, it fails within intuitionistic probability theory. They conclude that the dogmatist who is willing to take intuitionistic logic seriously can make a convincing reply to the Bayesian objection. In this paper, I argue that this conclusion is premature – the Bayesian objection can survive the transition from classical to intuitionistic probability, albeit in a slightly altered form. I shall conclude with some general thoughts about what the Bayesian objection to dogmatism does and doesn’t show.