First published in 2000. Routledge is an imprint of Taylor & Francis, an informa company.

The thesis of 3D/4D equivalence states that every three-dimensional description of the world is translatable without remainder into a four-dimensional description, and vice versa. In representing an object in 3D or in 4D terms we are giving alternative descriptions of one and the same thing, and debates over whether the ontology of the physical world is "really" 3D or 4D are pointless. The twins paradox is shown to rest, in relativistic 4D geometry, on a reversed law of triangle inequality. But (...) considering the twins as 3D beings who age through time, the paradox implies that time passes at different rates in different reference frames, and therefore that the concept of a single global or Absolute time is unsustainable. (shrink)

I believe that time passes. In the last one hundred years or so, many philosophers have rejected this view. Those who have done so have generally been motivated by at least one of three different arguments: (i) McTaggart's argument, (ii) an argument from the theory of relativity, and (iii) an argument concerning the alleged incoherence of talk about the rate of the passage of time. There has been a great deal of literature on McTaggart's argument (although no concensus has been (...) reached).1 There has been a relatively small amount of literature on the argument from the theory of relativity, but this is perhaps not surprising, since most of us philosophers don't understand that theory.2 Meanwhile, there has not been a great deal of literature on the rate of passage argument, and this is surprising, I think, considering that the argument is easy to.. (shrink)

These are just some of the fundamental questions addressed in Time and Space. Writing for a primary readership of advanced undergraduate and graduate philosophy students, Barry Dainton introduces the central ideas and arguments that make space and time such philosophically challenging topics. Although recognising that many issues in the philosophy of time and space involve technical features of physics, Dainton has been careful to keep the conceptual issues accessible to students with little scientific or mathematical training. Surveying historical debates and (...) ideas at the forefront of contemporary thinking, the book is unrivaled in its coverage. Topics include McTaggart's argument for the unreality of change; static, tensed, and dynamic time; time travel and causal arrows; space as void, motion, and curved spac; as well as a non-technical introduction to the special theory of relativity and the key features of general relativity, spacetime, and strings. Dainton also addresses the relationship between the philosophy of time and broader human concerns involving actions, ethics, fatalism, and death. (shrink)

Storrs McCall presents an original philosophical theory of the nature of the universe based on a striking new model of its space- time structure. He shows how his model illuminates a broad range of subjects, including causation, probability, quantum mechanics, identity, and free will, and argues that the fact that the model throws light on such a large number of problems constitutes strong evidence that the universe is as the model portrays it.

Michael Tooley presents a major new philosophical theory of the nature of time, offering a powerful alternative to the traditional "tensed" and recent "tenseless" accounts of time. He argues for a dynamic conception of the universe, in which past, present, and future are not merely subjective features of experience. He claims that the past and the present are real, while the future is not. Tooley's approach accounts for time in terms of causation. He therefore claims that the key to understanding (...) the dynamic nature of the universe is to understand the nature of causation. Time, Tense, and Causation is a landmark treatment of one of the oldest and most perplexing intellectual problems, and will be fascinating reading for anyone interested in the character of time. (shrink)