Philosophical Perspectives on Infinity

Graham Oppy is Associate Dean of Research in the Faculty of Arts at Monash University in Australia. He is the author of Ontological Arguments and Belief in God and Arguing about Gods (Cambridge University Press, 2009), and has received fellowships from the Australian Research Council. He is associate editor of the Australasian Journal of Philosophy and sits on the editorial boards of Philo, Religious Studies, and Sophia.

Introduction; 1. Beginnings and puzzles; 2. Mathematical preliminaries; 3. Some cases discussed; 4. Space, time, and spacetime; 5. Physical infinities; 6. Probability and decision theory; 7. Mereology; 8. Philosophical theories; 9. Infinite regress and sufficient reason.