This article discusses the history of the concepts of potential infinity and actual infinity in the context of Christian theology, mathematical thinking and metaphysical reasoning. It shows that the structure of Ancient Greek rationality could not go beyond the concept of potential infinity, which is highlighted in Aristotle's metaphysics. The limitations of the metaphysical mind of ancient Greece were overcome through Christian theology and its concept of the infinite God, as formulated in Gregory of Nyssa's theology. That is how the (...) concept of actual infinity emerged. However, Gregory of Nyssa's understanding of human rationality went still further. He said that access to the infinity of God was to be found only in an asymptotic ascension, as expressed in apophatic theology, and this view endangered the rationality of theology. Deeply influenced by the apophatic tradition, Nicholas of Cusa avoided this danger by showing that infinity could be accessed by symbolic representation and asymptotic mathematical reasoning. Thus, he made an immense contribution in making infinity rationally accessible. This endeavor was finally realized by Georg Cantor. This rational accessibility revealed discernible structures of infinity, such as the continuum hypothesis, and the cardinal numbers. However, the probable logical inconsistency of Georg Cantor's all-encompassing Absolute Infinity points to an intuitive understanding of infinity that goes beyond its rational structures – as in apophatic theology. (shrink)

: The suffering of creatures experienced throughout evolutionary history provides some conceptual difficulties for theists who maintain that God is an all-good loving creator who chose to employ the processes associated with evolution to bring about life on this planet. Some theists vexed by this and other problems posed by the interface between religion and science have turned to process theology which provides a picture of a God who is dependent upon creation and unable to unilaterally intervene in the affairs (...) of the world and avert suffering. In the present paper I seek to critique process theism, focusing on divine action and the aforementioned problem posed by evolutionary suffering. I show that the promise of a more compelling account of a loving God who suffers with creation advanced by the process theist is illusory. Rather, the process God is less dynamic than promised. And on such an account the freedom of both God and the world are significantly more circumscribed than one may find in other forms of theism. (shrink)

This volume aims to investigate the topic of Substance and Attribute.

representations, for the unconditioned transcendent surpasses every possible conception of a being, including even the conception of a Supreme Being... It is the religious function of atheism ever to remind us that the religious act has to do with the unconditioned transcendent, and that the representations of the Unconditioned are not objects concerning whose existence.., a discussion would be possible. The word >God= involves a double meaning: it connotes the unconditioned transcendent, the ultimate, and also an object somehow endowed with (...) qualities and actions. The first is not figurative or symbolic, but is rather in the strictest sense what it is said to be. The second, however, is really symbolic, figurative. = Tillich=s view on transcendence is a quite radical view. However, his view serves to illustrate two things: (i) the importance of the concept of transcendence in discussions about God, and (ii) the implications for religious language resulting from God.. (shrink)

In this paper I explore the relationship between the idea of possible worlds and the notion of the beauty of God. I argue that there is a clear contradiction between the idea that God is utterly and completely beautiful on the one hand and the notion that He contains within himself all possible worlds on the other. Since some of the possible worlds residing in the mind of the deity are ugly, their presence seems to compromise God's complete and utter (...) beauty. (shrink)

Daniel and Frances Howard-Snyder suggest that it is possible for an omnipotent being, Jove, to create randomly a world from a continuum of ever more perfect possible worlds. They then go on to argue that Jove could be characterized as morally unsurpassable despite creating a surpassable world. I raise a number of problems for the view that Jove could be characterized as morally unsurpassable when he creates (randomly or not) a surpassable world.

Escapism, a theory of hell proposed by Andrei Buckareff and Allen Plug, explicitly relies on claims about divine reasons for action. However, they say surprisingly little about the general account of reasons for action that would justify the inferences in the argument for escapism. I provide a couple of plausible interpretations of such an account and argue that they help revive the ‘Job objection’ to escapism that Buckareff and Plug had dismissed.

I suggest two improvements to Joshua Rasmussen’s intriguing recent argument that a causally powerful being necessarily exists.

This article spells out the reasons for calling God a substance and argues that theism nevertheless does not require substance ontology. It is compatible with an alternative ontology which I call stuff ontology.

It is spelled out in which sense God exists necessarily. Some contemporary accounts are criticised.