Challenging the myth that mathematical objects can be defined into existence, Bigelow here employs Armstrong's metaphysical materialism to cast new light on mathematics. He identifies natural, real, and imaginary numbers and sets with specified physical properties and relations and, by so doing, draws mathematics back from its sterile, abstract exile into the midst of the physical world.

This book is a defense of modal realism; the thesis that our world is but one of a plurality of worlds, and that the individuals that inhabit our world are only a few out of all the inhabitants of all the worlds. Lewis argues that the philosophical utility of modal realism is a good reason for believing that it is true.

Surveying both historical debates and modern physics, Barry Dainton evaluates the central arguments in a clear and unintimidating way that keeps conceptual issues comprehensible to students with little scientific or mathematical training and makes the philosophy of space and time accessible to anyone trying to come to grips with the complexities of this challenging subject. With over 100 original line illustrations and a full glossary of terms, Time and Space keeps the requirements of students firmly in sight and will continue (...) to serve as the ideal textbook for philosophy of time and space courses. (shrink)

Truth and Ontology concludes that some truths do not depend on being in any substantive way at all.

Causation and the laws of nature are nothing over and above the pattern of events, just like a movie is nothing over and above the sequence of frames. Or so I will argue. The position I will argue for is broadly inspired by Hume and Lewis, and may be expressed in the slogan: what must be, must be grounded in what is.