In this paper I present two new arguments against the possibility of an omniscient being. My new arguments invoke considerations of cardinality and resemble several arguments originally presented by Patrick Grim. Like Grim, I give reasons to believe that there must be more objects in the universe than there are beliefs. However, my arguments will rely on certain mereological claims, namely that Classical Extensional Mereology is necessarily true of the part-whole relation. My first argument is an instance of a problem (...) first noted by Gideon Rosen and requires an additional assumption about the mereological structure of certain beliefs. That assumption is that an omniscient being’s beliefs are mereological simples. However, this assumption is dropped when I present my second argument. Thus, I hope to show that if Classical Extensional Mereology is true of the part-whole relation, there cannot be an omniscient being. (shrink)

Peter Slezak and William Boos have independently advanced a novel interpretation of Descartes's "cogito". The interpretation portrays the "cogito" as a diagonal deduction and emphasizes its resemblance to Godel's theorem and the Liar. I object that this approach is flawed by the fact that it assigns 'Buridan sentences' a legitimate role in Descartes's philosophy. The paradoxical nature of these sentences would have the peculiar result of undermining Descartes's "cogito" while enabling him to "disprove" God's existence.

Current evolutionary and cognitive theories of religion posit that supernatural agent concepts emerge from cognitive systems such as theory of mind and social cognition. Some argue that these concepts evolved to maintain social order by minimizing antisocial behavior. If these theories are correct, then people should process information about supernatural agents’ socially strategic knowledge more quickly than non-strategic knowledge. Furthermore, agents’ knowledge of immoral and uncooperative social behaviors should be especially accessible to people. To examine these hypotheses, we measured response-times (...) to questions about the knowledge attributed to four different agents—God, Santa Claus, a fictional surveillance government, and omniscient but non-interfering aliens—that vary in their omniscience, moral concern, ability to punish, and how supernatural they are. As anticipated, participants respond more quickly to questions about agents’ socially strategic knowledge than non-strategic knowledge, but only when agents are able to punish. (shrink)

Patrick Grim argues that God cannot beomniscient because no one other than me canacquire knowledge de se of myself. Inparticular, according to Grim, God cannot knowwhat I know in knowing that I am making amess. I argue, however, that given twoplausible principles regarding divineattributes there is no reason to accept Grim'sconclusion that God cannot be omniscient. Inthis paper I focus on the relationship betweendivine omniscience and necessaryimpossibilities, in contrast to the generaltrend of research since Aquinas, which hasconcentrated on the relationship (...) between divineomnipotence and necessary impossibilities. (shrink)

According to traditional Western theism, God is maximally great (or perfect). More explicitly, God is said to have the following divine attributes: omnipotence, omniscience, and omnibenevolence. In this paper, I present three puzzles about this conception of a maximally great (or perfect) being. The first puzzle about omniscience shows that this divine attribute is incoherent. The second puzzle about omnibenevolence and omnipotence shows that these divine attributes are logically incompatible. The third puzzle about perfect rationality and omnipotence shows that these (...) divine attributes are logically incompatible. (shrink)

The coherence of omniscience is sometimes challenged using self-referential sentences like, “No omniscient entity knows that which this very sentence expresses,” which suggest that there are truths which no omniscient entity knows. In this paper, I consider two strategies for addressing these challenges: The Common Strategy, which dismisses such self-referential sentences as meaningless, and The Conciliatory Strategy, which discounts them as quirky outliers with no impact on one’s status as being omniscient. I argue that neither strategy succeeds. The Common Strategy (...) fails because it is both unmotivated and impotent. The Conciliatory Strategy fails because it leads to embarrassing situations in which omniscient entities are epistemically inferior to non-omniscient entities: we can, for example, devise trivia-based drinking games that force omniscient entities into an intoxicated state; and, given plausible closure principles for belief, such entities are unable to have the sorts of beliefs that give them reason to refuse to play. (shrink)

Patrick Grim advances arguments meant to show that the doctrine of divine omniscience—the classical doctrine according to which God knows all truths—is false. In particular, we here have in mind to focus on two such arguments: the set theoretic argument and the semantic argument. These arguments due to Grim run parallel to, respectively, familiar paradoxes in set theory and naive truth theory. It is beyond the purview of this article to adjudicate whether or not these are successful arguments against the (...) classical doctrine of omniscience. What we are here interested in is a way in which these arguments can be generalized. In particular, we show how generalizations of those arguments can target, explicitly, alternatives to the classical doctrine of omniscience, including what we here call 'restricted omniscience' and 'open future open theism'. As a corollary, considerations of Grim-style arguments do not support these alternatives to the classical doctrine of omniscience over the classical doctrine. We conclude that what is paradoxical is not the classical doctrine of omniscience just as such; rather, what is paradoxical is a core commitment shared by the classical doctrine and its more modest alternatives, namely, the thesis that God is a perfectly logical reasoner. (shrink)

God, by definition, is all-powerful, all-good, all-wise, and all-knowing. Therein lies a problem for the theist, of course, for every one of these attributes has been the subject of fierce debate. In this paper I want to return to the debate by introducing a new problem for the idea that anyone could have the kind of perfect knowledge God is supposed to have. What distinguishes my problem from others is that the sort of knowledge it focuses on is self-knowledge, hence (...) knowledge of a particularly intimate kind. My claim is that God cannot have infallible knowledge of at least some of his own perfections, in particular his being all-wise or ideally rational. Such ignorance is not only inconsistent with the usual conception of God's omniscience, given that whatever knowledge God possesses is traditionally thought to be be a priori and infallible, but, more importantly, is inconsistent with the fundamental idea that God at least knows infallibly or incorrigibly that he has what it takes to be God: qualities such as omnibenevolence, omnipotence, and supreme wisdom. In short, my claim is that God must have a deep “blindspot” about his own nature, something which is inconsistent with a traditional picture of that nature. (shrink)

It is said that faith in a divine agent is partly an attitude of trust; believers typically find assurance in the conception of a divine being's will, and cherish confidence in its capacity to implement its intentions and plans. Yet, there would be little point in trusting in the will of any being without assuming its ability to both act and know, and perhaps it is only by assuming divine omniscience that one can retain the confidence in the efficacy and (...) direction of divine agency that has long been the lure of certain religious traditions. (shrink)

At first glance, the properties being omniscient and being worthy of worship might appear to be perfectly co-instantiable. But there are reasons to be worried about this co-instantiability, as it turns out that, depending on our commitments with respect to certain kinds of knowledge and notions of personhood, it might be the case that no being—God included—could instantiate both. In this paper, I lay out and motivate this claim before going on to consider a variety of responses—some more plausible than (...) others—that may be offered by the theist. (shrink)

The divine attributes of omniscience and omnipotence have faced objections to their very consistency. Such objections rely on reasoning parallel to semantic paradoxes such as the Liar or to set-theoretic paradoxes like Russell's paradox. With the advent of paraconsistent logics, dialetheism—the view that some contradictions are true—became a major player in the search for a solution to such paradoxes. This paper explores whether dialetheism, armed with the tools of paraconsistent logics, has the resources to respond to the objections levelled against (...) the divine attributes. (shrink)

A knowledge argument is offered that presents unique difficulties for Christians who wish to assert that God is essentially omniscient. The difficulties arise from the doctrine of the incarnation. Assuming that God the Son did not necessarily have to become incarnate, then God cannot necessarily have knowledge de se of the content of a non-divine mind. If this is right, then God’s epistemic powers are not fixed across possible worlds and God is not essentially omniscient. Some options for Christian theists (...) are discussed, including rejecting traditional theism in favour of some version of pantheism or panentheism. (shrink)

As a result of his studies in metalogicEssler became convincedthat an absolute fixed totality of alltruths and a final metalanguage doesnot exist. Taking this result into account,it is shown that the usualabsolute concept of omniscience isuntenable. From this it can be concludedthat definitions of knowledge whichappeal to such a concept of omnisciencelead to serious problems.

Traditional monotheism has long faced logical puzzles. We argue that such puzzles rest on the assumed logical truth of the Law of Excluded Middle, which we suggest there is little theological reason to accept. By way of illustration we focus on God's alleged stone problem, and present a simple but plausible ‘gappy’ framework for addressing this puzzle. We assume familiarity with the proposed logic but an appendix is offered as a brief review.

This paper explores early Australasian philosophy in some detail. Two approaches have dominated Western philosophy in Australia: idealism and materialism. Idealism was prevalent between the 1880s and the 1930s, but dissipated thereafter. Idealism in Australia often reflected Kantian themes, but it also reflected the revival of interest in Hegel through the work of ‘absolute idealists’ such as T. H. Green, F. H. Bradley, and Henry Jones. A number of the early New Zealand philosophers were also educated in the idealist tradition (...) and were influential in their communities, but produced relatively little. In Australia, materialism gained prominence through the work of John Anderson, who arrived in Australia in 1927, and continues to be influential. John Anderson had been a student of Henry Jones, who might therefore be said to have influenced both main strands of Australian philosophical thought. (shrink)

A survey of logical problems for the concept of omniscience.