استدلال کانتوری گریم از جمله براهینی است که در مباحث فلسفی اخیر ناسازگاری مفهوم علم مطلق را مورد هدف قرار داده است. گریم با استناد به اصل ریاضی کانتور و بر مبنای تعریف پذیرفته‌شدۀ علم مطلق، یعنی علم به تمامی گزاره­های صادق، وجود عالم مطلق را به دلیل عدم امکان وجود متعلق علم او، یعنی «مجموعه گزاره­های صادق»، انکار می­نماید. در این زمینه پاسخ­های متعددی در دفاع از علم مطلق الهی از سوی متفکران مسیحی معاصر ارائه شده که یکی از (...) مهم­ترین آنها خودمتناقض دانستن این استدلال است که پلانتینگا آن را مطرح کرده است. سنت فلسفه اسلامی از جهت تبیین ماهیت علم مطلق با سنت الهیات مسیحی تفاوت مبنایی دارد. اما با توجه به ظرفیت حکمت متعالیه صدرایی، با استناد به مباحثی چون تعریف و ماهیت مجموع و همچنین شرایط تسلسل محال، می‌توان علاوه بر ابطال فرض استدلال گریم مبنی بر وجود حقایق بیشتری از مجموعه تمام حقایق، امکان علم عالم مطلق به سلسله نامتناهی از مجموعه حقایق را اثبات نمود. (shrink)

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)

In this article, I discuss Anselmian theism, which is arguably the most widely accepted form of monotheism. First, I introduce the core theses of Anselmian theism and consider its historical and developmental origins. I contend that, despite its name, Anselmian theism might well be older than Anselm. I also claim, supporting my argument by reference to research in the cognitive science of religion, that, contrary to what many think, Anselmian theism might be a natural result of human cognitive development rather (...) than a mere philosophical artefact. Second, in the course of explaining the merits of Anselmian theism, I argue that this doctrine seems to benefit from at least three virtues. Third, I discuss existing arguments against Anselmian theism and maintain that most of them can be classified into three types. Finally, I suggest a novel strategy on the basis of which it is possible to defend Anselmian theism from these arguments. (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)

Cantor argued that absolute infinity is beyond mathematical comprehension. His arguments imply that the domain of mathematics cannot be grasped by mathematical means. We argue that this inability constitutes a foundational problem. For Cantor, however, the domain of mathematics does not belong to mathematics, but to theology. We thus discuss the theological significance of Cantor’s treatment of absolute infinity and show that it can be interpreted in terms of negative theology. Proceeding from this interpretation, we refer to the recent debate (...) on absolute generality and argue that the method of diagonalization constitutes a modern version of the vianegativa. On our reading, negative theology can evoke an attitude of humility with respect to the boundedness of the human condition. Along these lines, we think that the foundational problem of mathematics concerning its domain can be addressed through a methodological attitude of humility. (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)

I argue that van Fraassen's Judy Benjamin Problem and Elga's Sleeping Beauty Problem have the same structure.

On the assumption that theistic religious commitment takes place in the face of evidential ambiguity, the question arises under what conditions it is permissible to make a doxastic venture beyond one’s evidence in favour of a religious proposition. In this paper I explore the implications for orthodox theistic commitment of adopting, in answer to that question, a modest, moral coherentist, fideism. This extended Jamesian fideism crucially requires positive ethical evaluation of both the motivation and content of religious doxastic ventures. I (...) suggest that, even though the existence of horrendous evil does not resolve evidential ambiguity in favour of atheism, there are reasonable value commitments that would preclude those who hold them from satisfying extended Jamesian fideist conditions for committing themselves to classical theism. I then begin a discussion of a possible revisionary theistic alternative (in the Christian tradition) which – one might hope – may meet those conditions. An earlier, shorter, version of this paper was delivered as a keynote address at the APA Pacific 2007 Mini-Conference on Models of God. (shrink)

In a series of articles, Dan Lopez De Sa and Elia Zardini argue that several theorists have recently employed instances of paradoxical reasoning, while failing to see its problematic nature because it does not immediately (or obviously) yield inconsistency. In contrast, Lopez De Sa and Zardini claim that resultant inconsistency is not a necessary condition for paradoxicality. It is our contention that, even given their broader understanding of paradox, their arguments fail to undermine the instances of reasoning they attack, either (...) because they fail to see everything that is at work in that reasoning, or because they misunderstand what it is that the reasoning aims to show. (shrink)

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)

Why is there something rather than nothing? Apparently many people regard that question as a challenge to naturalism because they think it’s too fundamental or too sweeping for natural science to answer, even in principle. I argue, on the contrary, that the question has a simple and adequate naturalistic answer: ‘Because there are penguins.’ I then diagnose various confusions underlying the suspicion that the question can’t have such an answer and, more generally, that the question, or else some variant of (...) it, can’t have a naturalistic answer at all. (shrink)