Albert Casullo

Timothy Williamson offers a reductive account of modal knowledge in terms of knowledge of counterfactual conditionals. The account is developed in a broader context of defending two more general theses regarding the subject matter and methodology of philosophy. My primary focus in this paper is Williamson’s account of modal knowledge. I argue (1) that his account of modal knowledge does not support his more general theses regarding the subject matter and methodology of philosophy; (2) that the two central claims of his account of knowledge of counterfactuals are rooted in unsubstantiated empirical assumptions; and (3) that his argument in support of the conclusion that modal knowledge is a special case of counterfactual knowledge rests on three errors: conflating logical reduction and epistemological reduction, a misguided appeal to cognitive economy, and incorrectly locating what needs to be explained by an account of modal knowledge.

This paper examines the view that ordinary particulars are complexes of universals. Russell's attempt to develop such a theory is articulated and defended against some common misinterpretations and unfounded criticisms in Section I. The next two sections address an argument which is standardly cited as the primary problem confronting the theory: (1) it is committed to the necessary truth of the principle of the identity of indiscernibles; (2) the principle is not necessarily true. It is argued in Section II that a proponent of the theory need not accept (1) and an argument against (2) is presented in Section III. The final section attempts to show that Russell's theory ultimately fails because of inadequacies in its treatment of space and time. The paper closes with a suggestion for remedying this difficulty

Empiricist theories of knowledge are attractive for they offer the prospect of a unitary theory of knowledge based on relatively well understood physiological and cognitive processes. Mathematical knowledge, however, has been a traditional stumbling block for such theories. There are three primary features of mathematical knowledge which have led epistemologists to the conclusion that it cannot be accommodated within an empiricist framework: 1) mathematical propositions appear to be immune from empirical disconfirmation; 2) mathematical propositions appear to be known with certainty; and 3) mathematical propositions are necessary. Epistemologists who believe that some nonmathematical propositions, such as logical or ethical propositions, cannot be known a posteriori also typically appeal to the three factors cited above in defending their position. The primary purpose of this paper is to examine whether any of these alleged features of mathematical propositions establishes that knowledge of such propositions cannot be a posteriori.

David Henderson and Terry Horgan offer a detailed account of the structure of conceptual analysis that is embedded within a more general account of a priori justification. Their account highlights an important feature of conceptual analysis that has been overlooked in the recent debate. Although it is generally recognized that conceptual analysis involves an inference from premises to the effect that some concept does (or does not) apply to a range of particular cases to a general conclusion about the nature of the concept itself, the details of that inference have not been fully articulated. Henderson and Horgan offer an articulation of the inferential connection which, taken in conjunction with their account of a priori justification, yields a startling conclusion about the epistemic status of the results of conceptual analysis. My view is that their account of a priori justification misses the mark and, as a consequence, they arrive at a conclusion about the epistemic status of the results of conceptual analysis that many will find implausible. Moreover, I fear that because many will find their overall conclusion implausible, they will either overlook or dismiss the important feature of the inferential connection that Henderson and Horgan correctly highlight. Hence, I have two goals. First, I want to track down the source of their mischaracterization of the a priori and to show why it is a mischaracterization. Second, I want to highlight the important feature of the inferential connection involved in conceptual analysis that they identify, articulate its bearing on the debate over the existence of a priori knowledge and assess its implications

Kant contends that necessity is a criterion of the a priori—that is, that all knowledge of necessary propositions is a priori. This contention, together with two others that Kant took to be evident—we know some mathematical propositions and such propositions are necessary—leads directly to the conclusion that some knowledge is a priori. Although many contemporary philosophers endorse Kant’s criterion, supporting arguments are hard to come by. Gordon Barnes provides one of the few examples. My purpose in this chapter is to articulate and examine his argument. I have two goals in doing so. The first is to uncover several significant gaps in the argument. The second is to show that it suffers from a common defect in rationalist arguments. If the argument were successful against empiricist accounts of modal knowledge, it would apply with equal force to extant rationalist accounts of such knowledge. Hence, the cost of refuting modal empiricism is modal scepticism.

Edward Erwin has recently argued against the thesis that the concepts a priori truth’ and ‘necessary truth’ are extensionally equivalent. This thesis consists of two logically independent claims: all a priori truths are necessary; and all necessary truths are a priori. Erwin leaves the first claim unchallenged and elects to devote his efforts exclusively to undermining the second. The brunt of his attack on the second claim rests on alleged unclarities in the concept of an a priori truth. He attempts to show that the E.E.H. cannot be defended upon any plausible interpretation of this concept. Although I agree that the E.E.H., as stated above, is open to Erwin's objections, I shall argue that a slightly revised version of it can be defended against these objections.

E. J. Lowe offers an account of modal knowledge that involves two primary theses. First, the basis of modal knowledge is essential knowledge, and the source of essential knowledge is grasp of essence. Second, all empirical knowledge ultimately depends on some modal knowledge. This article assesses Lowe’s account and defends four conclusions. First, there is a tension in Lowe’s account of grasp of essence; it wavers between an undemanding version, which holds that grasp of essence requires no more than our ordinary understanding of propositions, and a more demanding version, which holds that it requires rational insight into necessary relationships between essences. Second, both versions face serious challenges. Third, Lowe’s account of knowledge of essence does not provide a basis for modal knowledge. Fourth, Lowe’s supporting argument for his second thesis contains two significant gaps and the principles necessary to close the gaps reveal further tensions in his epistemological views.

The analytic/synthetic distinction has played a central role in discussions of a priori knowledge throughout the twentieth century. One of the primary reasons for the prominence of this distinction is the widespread influence of the tradition of logical empiricism which endorsed the following principles: All analytic propositions are knowable a prioriand All propositions knowable a priori are analytic.Hence, proponents of the a priori often argue in support of the contention that the propositions of a particular discipline, say mathematics or logic, are knowable a priori by arguing that it consists solely of analytic propositions. On the other hand, detractors of the a priori often reject such knowledge on the grounds that the analytic/synthetic distinction is not cogent. My primary goal in this paper is to challenge the prevalent acceptance of.