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)

Anselmian theists, for whom God is the being than which no greater can be thought, usually infer that he is an omniscient, omnipotent and omnibenevolent being. Critics have attacked these claims by numerous distinct arguments, such as the paradox of the stone, the argument from God's inability to sin, and the argument from evil. Anselmian theists have responded to these arguments by constructing an independent response to each. This way of defending Anselmian theism is uneconomical. I seek to establish a (...) new defence which undercuts almost all the existing arguments against Anselmian theism at once. In developing this defence, I consider the possibility that the Anselmian God is not an omniscient, omnipotent and omnibenevolent being. (shrink)