James R. Beebe

In this article I investigate a neglected form of radical skepticism that questions whether any of our logical, mathematical and other seemingly self-evident beliefs count as knowledge. ‘A priori skepticism,’ as I will call it, challenges our ability to know any of the following sorts of propositions: (1.1) The sum of two and three is five. (1.2) Whatever is square is rectangular. (1.3) Whatever is red is colored. (1.4) No surface can be uniformly red and uniformly blue at the same time. (1.5) If ‘if p then q’ is true and ‘p’ is true, then ‘q’ is true. (1.6) No statement can be both true and false at the same time and in the same respect. (1.7) If A is taller than B, and B is taller than C, then A is taller than C. (1.8) Everything is identical to itself. (1.9) If the conclusion of an inductive argument is contingent, it is possible for the premises of that argument to be true and its conclusion to be false. (1.10) George W. Bush could have been a plumber. (1.11) George W. Bush could not have been a prime number. (1.12) ‘2 + 3 = 5’ is necessarily true.

We report and discuss the results of a series of experiments that address a contrast effect exhibited by folk judgments about knowledge ascriptions. The contrast effect, which was first reported by Schaffer and Knobe, is an important aspect of our folk epistemology. However, there are competing theoretical accounts of it. We shed light on the various accounts by providing novel empirical data and theoretical considerations. Our key findings are, firstly, that belief ascriptions exhibit a similar contrast effect and, secondly, that the contrast effect is systematically sensitive to the content of what is in contrast. We argue that these data pose significant challenges to contrastivist accounts of the contrast effect. Furthermore, some of the data set provides, in conjunction with some non-empirical epistemological arguments, some limited evidence for what we call a focal bias account of the data. According to the focal bias account, the contrast effects arise at least in part because epistemically relevant facts are not always adequately processed when they are presented in certain ways

In order to shed light on the question of whether reliabilism entails or excludes certain kinds of truth theories, I examine two arguments that purport to establish that reliabilism cannot be combined with antirealist and epistemic theories of truth. I take antirealism about truth to be the denial of the recognition-transcendence of truth, and epistemic theories to be those that identify truth with some kind of positive epistemic status. According to one argument, reliabilism and antirealism are incompatible because the former takes epistemic justification to be recognition-transcendent in a certain sense that conflicts with the latter's denial of the recognition-transcendence of truth. I show that, because the recognition-transcendence of reliabilist justification is significantly weaker than the recognition-transcendence required by a realist conception of truth, antirealist theories of truth that deny the strong transcendence of truth do not threaten the externalist character of reliabilism. According to the second argument, reliabilism cannot be combined with an epistemic truth theory because reliabilists analyze positive epistemic status in terms of truth but epistemic theorists analyze truth in terms of positive epistemic status. However, I argue that reliabilists who wish to adopt an epistemic theory of truth can avoid circularity by appealing to a multiplicity of positive epistemic statuses.

According to Laurence BonJour, the problem of induction can be solved by recognizing the a priori necessity that inductive conclusions constitute the best explanations of inductive premises. I defend an interpretation of the key probability claims BonJour makes about inductive premises and show that they are not susceptible to many of the objections that have been lodged against them. I then argue that these purportedly necessary probability claims nevertheless remain deeply problematic and that, as a result, BonJour's proposal fails to provide a satisfactory resolution of the problem of induction.

Abductivists claim that explanatory considerations (e.g., simplicity, parsimony, explanatory breadth, etc.) favor belief in the external world over skeptical hypotheses involving evil demons and brains in vats. After showing how most versions of abductivism succumb fairly easily to obvious and fatal objections, I explain how rationalist versions of abductivism can avoid these difficulties. I then discuss the most pressing challenges facing abductivist appeals to the a priori and offer suggestions on how to overcome them.

We report experimental results showing that participants are more likely to attribute knowledge in familiar Gettier cases when the would-be knowers are performing actions that are negative in some way (e.g. harmful, blameworthy, norm-violating) than when they are performing positive or neutral actions. Our experiments bring together important elements from the Gettier case literature in epistemology and the Knobe effect literature in experimental philosophy and reveal new insights into folk patterns of knowledge attribution.

Defenders of the prosentential theory of truth claim that the English language contains prosentences which function analogously to their better known cousins – pronouns. Statements such as ‘That is true’ or ‘It is true’, they claim, inherit their content from antecedent statements, just as pronouns inherit their reference from antecedent singular terms. Prosentential theorists claim that the content of these prosentences is exhausted by the content of their antecedents. They then use the notion of the inheritance of content from an antecedent to explain the various functions of the predicate ‘... is true’. Defenders of the prosentential theory of truth are mistaken, I claim, in thinking that in order to oppose the view that ‘... is true’ is used to ascribe a substantive truth property to propositions they need to claim that no uses of ‘... is true’ ever attribute any property. I identify an ‘attributive’ use of prosentences in which reliability is implicitly attributed to a subject. I then use the capacity of prosentences to serve as implicit attributions of reliability as a basis for explicating the logical structure of explicit attributions of reliability. The identification of an attributive use of prosentences does not constitute a fundamental change in the prosentential theory.