This book is an exploration of philosophical questions about infinity. Graham Oppy examines how the infinite lurks everywhere, both in science and in our ordinary thoughts about the world. He also analyses the many puzzles and paradoxes that follow in the train of the infinite. Even simple notions, such as counting, adding and maximising present serious difficulties. Other topics examined include the nature of space and time, infinities in physical science, infinities in theories of probability and decision, the nature of (...) part/whole relations, mathematical theories of the infinite, and infinite regression and principles of sufficient reason. (shrink)

In this article, we evaluate various responses to a noteworthy objection, namely, the infinite God objection to the kalām cosmological argument. As regards this objection, the proponents of the kalām argument face a dilemma—either an actual infinite cannot exist or God cannot be infinite. More precisely, this objection claims that God’s omniscience entails the existence of an actual infinite with God knowing an actually infinite number of future events or abstract objects, such as mathematical truths. We argue, however, that the (...) infinite God objection is based on two questionable assumptions, namely, that it is possible for an omniscient being to know an actually infinite number of things and that there exist an actually infinite number of abstract objects for God to know. (shrink)

... and Normative Epistemology The Distinction Between Metaepistemology and Normative Epistemology Although this terminology is relatively new, ...

Loke argues against the possibility of any infinite collection, mainly on the grounds that number as an abstract entity cannot have causal power. But I argue that his argument conflates number as an abstract entity with number as a number of events or things. Loke also maintains that a situation of ‘infinities upon infinities’ poses problems, and I argue against this. Finally, Loke queries how an ‘extra’ can be added to an infinite collection, but I suggest this is here a (...) misleading word. (shrink)

God in the Age of Science? is a critical examination of strategies for the philosophical defence of religious belief. Herman Philipse argues that the most promising for believers who want to be justified in accepting their creed in our scientific age is the Bayesian cumulative case strategy developed by Richard Swinburne, and goes on to present an in-depth analysis of this case for theism. Using a 'strategy of subsidiary arguments', Philipse concludes that theism cannot be stated meaningfully; that if theism (...) were meaningful, it would have no predictive power concerning existing evidence, so that Bayesian arguments cannot get started; and that if the Bayesian cumulative case strategy did work, one should conclude that atheism is more probable than theism. Philipse provides a careful, rigorous, and original critique of atheism in the world today. (shrink)

The Incarnation, traditionally understood as the metaphysical union between true divinity and true humanity in the one person of Jesus Christ, is one of the central doctrines for Christians over the centuries. Nevertheless, many scholars have objected that the Scriptural account of the Incarnation is incoherent. Being divine seems to entail being omniscient, omnipotent and omnipresent, but the New Testament portrays Jesus as having human properties such as being apparently limited in knowledge, power, and presence. It seems logically impossible that (...) any single individual could possess such mutually exclusive sets of properties, and this leads to scepticism concerning the occurrence of the Incarnation in history. A Kryptic Model of the Incarnation aims to provide a critical reflection of various attempts to answer these challenges and to offer a compelling response integrating aspects from analytic philosophy of religion, systematic theology, and historical-critical studies. Loke develops a new Kryptic model of the Incarnation, drawing from the Greek word Krypsis meaning ’hiding’, and proposing that in a certain sense Christ’s supernatural properties were concealed during the Incarnation. (shrink)

In this note, I consider an argument advanced by William Lane Craig and James D. Sinclair against the possibility of actual infinite collections based onHilbert’s Hotel and alleged problems with inverse operations in transfinite arithmetic. I aim to show that this argument is misguided, since it is based on a mistaken view that the impossibility of defining ℵ0 - ℵ0 entails the impossibility of removing an infinite subcollection from an infinite collection.