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)

Quantum gravity poses the problem of merging quantum mechanics and general relativity, the two great conceptual revolutions in the physics of the twentieth century. The loop and spinfoam approach, presented in this book, is one of the leading research programs in the field. The first part of the book discusses the reformulation of the basis of classical and quantum Hamiltonian physics required by general relativity. The second part covers the basic technical research directions. Appendices include a detailed history of the (...) subject of quantum gravity, hard-to-find mathematical material, and a discussion of some philosophical issues raised by the subject. This fascinating text is ideal for graduate students entering the field, as well as researchers already working in quantum gravity. It will also appeal to philosophers and other scholars interested in the nature of space and time. (shrink)

The question, 'Why is there something rather than nothing?', has a strong claim to be philosophy's central, and most perplexing, question; it has a capacity to set the head spinning which few other philosophical problems can rival. Bede Rundle challenges the stalemate between theistic and naturalistic explanations with a rigorous, properly philosophical approach, and presents some startlingly novel conclusions.

At least since Darwin's Origin of Species was published in 1859, it has increasingly become accepted that the existence of God is, intellectually, a lost cause, and that religious faith is an entirely non-rational matter--the province of those who willingly refuse to accept the dramatic advances of modern cosmology. Are belief in God and belief in science really mutually exclusive? Or, as noted philosopher of science and religion Richard Swinburne puts forth, can the very same criteria which scientists use to (...) reach theories about everything from DNA to the Big Bang be used to argue for the existence of God? In Is There a God? Swinburne presents a powerful and approachable case for the existence of God. Using the methods of scientific reasoning, Swinburne rigorously argues that science, far from replacing God, provides good grounds for belief in God. With each new discovery and advance, from black holes to quarks, superstrings to continuing evolution, science brings us closer to a complete understanding of how things work--but science can only go so far. Though it can explain much of how the universe works, science doesn't tell us why there is a universe at all. We can understand much of how life evolved, but why is there any life on earth? We can name and explicate scientific laws, but how is it that they operate in the universe? The Darwinian theory holds that the complex animal and human bodies that are here today exist because, ages ago, there were certain chemicals on earth, and given the laws of evolution, it was probable that complex organisms would emerge. But why those laws rather than any other? Why those chemicals? In Swinburne's view, the ultimate grand unifying theory is possible only by a belief in what he calls theism, acknowledging the existence of God: it was God who brought about the natural laws so that humans and animals would evolve. The watch may have been made, Swinburne asserts in reference to Richard Dawkins, with the aid of some blind screwdrivers (or even a blind watchmaking machine), but they were guided by a watchmaker with some very clear sight. At the heart of his argument is Swinburne's belief that the very success of science in showing us how deeply ordered the natural world is provides strong grounds for believing there is an even deeper cause of that order. By embracing a belief in God that acknowledges the truth in science, Swinburne's elegant argument supplies an essential spiritual element to our understanding of order and beauty, the structure beneath the chaos of the natural world. This informed and provocative volume will be essential reading for all readers of popular science, philosophy, and religion. (shrink)

Ever since Copernicus, scientists have continually adjusted their view of human nature, moving it further and further from its ancient position at the center of Creation. But in recent years, a startling new concept has evolved that places it more firmly than ever in a special position. Known as the Anthropic Cosmological Principle, this collection of ideas holds that the existence of intelligent observers determines the fundamental structure of the Universe. In its most radical version, the Anthropic Principle asserts that (...) "intelligent information-processing must come into existence in the Universe, and once it comes into existence, it will never die out." This wide-ranging and detailed book explores the many ramifications of the Anthropic Cosmological Principle, covering the whole spectrum of human inquiry from Aristotle to Z bosons. Bringing a unique combination of skills and knowledge to the subject, John D. Barrow and Frank J. Tipler--two of the world's leading cosmologists--cover the definition and nature of life, the search for extraterrestrial intelligence, and the interpretation of the quantum theory in relation to the existence of observers. The book will be of vital interest to philosophers, theologians, mathematicians, scientists, and historians, as well as to anyone concerned with the connection between the vastness of the universe of stars and galaxies and the existence of life within it on a small planet out in the suburbs of the Milky Way. (shrink)

God is traditionally taken to be a perfect being, and the creator and sustainer of all that is. So, if theism is true, what sort of world should we expect? To answer this question, we need an account of the array of possible worlds from which God is said to choose. It seems that either there is (a) exactly one best possible world; or (b) more than one unsurpassable world; or (c) an infinite hierarchy of increasingly better worlds. Influential arguments (...) for atheism have been advanced on each hierarchy, and these jointly comprise a daunting trilemma for theism. In this paper, I argue that if theism is true, we should expect the actual world to be a multiverse comprised of all and only those universes which are worthy of creation and sustenance. I further argue that this multiverse is the unique best of all possible worlds. Finally, I explain how his unconventional view bears on the trilemma for theism. (shrink)

The argument from fine tuning is supposed to establish the existence of God from the fact that the evolution of carbon-based life requires the laws of physics and the boundary conditions of the universe to be more or less as they are. We demonstrate that this argument fails. In particular, we focus on problems associated with the role probabilities play in the argument. We show that, even granting the fine tuning of the universe, it does not follow that the universe (...) is improbable, thus no explanation of the fine tuning, theistic or otherwise, is required. (shrink)

This chapter contains sections titled: * 1 God’s Love for All Humans * 2 Parallels Between Evolution and Multiverse Ideas * 3 Fine-Tuning in Our Universe * 4 Explanations for Fine-Tuning * 5 Applying Bayes’ Theorem * 6 Toy Multiverse Model from Arithmetic * 7 The Growth of Our Knowledge of the Universe * 8 Objections to Multiverse Ideas * 9 Conclusions * Note * Acknowledgments * References.

This chapter contains sections titled: Introduction: Setting Up the Argument The Evidence for Fine‐Tuning Epistemic Probability Determining k′ and the Comparison Range Justifying Premises (1) and (2) The Multiverse Hypothesis Miscellaneous Objections Conclusion: Putting the Argument in Perspective References.

ports the thesis that there exist very many universes. The view has found favor with a number of philosophers such as Derek Parfit ~1998!, J. J. C. Smart ~1989! and Peter van Inwagen ~1993!.1 My purpose is to argue that this is a mistake. First let me set out the issue in more detail.

In earlier writings, I argued that neither of the two major physical cosmologies of the twentieth century support divine creation, so that atheism has nothing to fear from the explanations required by these cosmologies. Yet theists ranging from Augustine, Aquinas, Descartes, and Leibniz to Richard Swinburne and Philip Quinn have maintained that, at every instant anew, the existence of the world requires divine creation ex nihilo as its cause. Indeed, according to some such theists, for any given moment t, God’s (...) volition thatthe-world-should-exist-at-t supposedly brings about its actual existence at t.In an effort to establish the current viability of this doctrine of perpetual divine conservation. Philip Quinn I argued that it is entirely compatible with physical energy-conservation in the Big Rang cosmology, as well as with the physics of the steady-state theories.But I now contend that instead, there is a logical incompatibility on both counts. Resides, the stated tenet of divine conservation has an additional defect: It speciously purchases plausibility by trading on the multiply disanalogous volitional explanations of human actions. (shrink)

The cosmic singularity provides negligible evidence for creation in the finite past, and hence theism. A physical theory might have no metric or multiple metrics, so a ‘beginning’ must involve a first moment, not just finite age. Whether one dismisses singularities or takes them seriously, physics licenses no first moment. The analogy between the Big Bang and stellar gravitational collapse indicates that a Creator is required in the first case only if a Destroyer is needed in the second. The need (...) for and progress in quantum gravity and the underdetermination of theories by data make it difficult to take singularities seriously. The singularity exemplifies the sort of gap that is likely to be closed by scientific progress, obviating special divine action. The apparent irrelevance of cardinality to practices of counting infinite sets in classical field theory and Fourier analysis is noted. Introduction The Doctrine of Creation and Its Warrant Cardinality and Sizes of Infinity Modern Cosmology and Creation Tolerance or Intolerance toward Singularities? Leibniz against Incompetent Watchmaker? Induction from Earlier Theories' Breakdown? Stellar Collapse Implies Theistic Destroyer Stacking the Deck for GTR Quantum Gravity Tends to Resolve Singularities Vicious God-of-the-Gaps Character Fluctuating or Inaccessible Warrant Big Bang Cosmology Not Especially Congenial to Faith CiteULike Connotea Del.icio.us What's this? (shrink)

Focusing on spacetime singularities, Earman engages with a host of foundational issues at the intersection of science and philosophy, ranging from the big bang to the possibility of time travel.

Scientific cosmology raises various issues of philosophical interest. Among these is the understanding of the beginning', as it arises in normal cosmology, which seems not intelligible as an ordinary beginning (' in time'), but rather as a beginning ' of time'. Recent cosmological research that seeks to unite theories of gravity and of quantum physics is speculative; various proposals with different philosophical perspectives on time and reality co-exist. This plurality of speculative cosmological proposals reflects also a diversity of views regarding (...) the nature of explanations. ' Anthropic principles' are not fruitful as additional explanations. It is argued here, however, that any cosmological proposal will always have an open end, due to limit questions that arise in relation to the scientific research but are not answered by it. These limit questions allow for various religious interpretations, theistic, pantheistic and agnostic. /// O presente artigo parte da constatação de que a cosmologia científica contemporânea suscita questões de grande relevância e interesse filosófico. Entre estas está a compreensão do "começo", tal como ele se dá na cosmologia normal, o qual não se mostra inteligível nos termos de um começo ordinário ("no tempo"), mas sim se entendido como começo "do tempo". O artigo analisa alguns aspectos da investigação cosmológica mais recente, a qual procura sobretudo unir as teorias da gravidade e da física quântica, considerando-a como especulativa; mostra-se assim até que ponto diversas propostas científicas co-existem com diferentes perspectivas filosóficas acerca do tempo e da realidade. Por outro lado, mostra-se também até que ponto esta pluralidade de propostas cosmológicas especulativas reflecte também uma diversidade de pontos de vista acerca da natureza das explicações em si mesmas. Por exemplo, o artigo tenta demonstrar que os "Princípios antrópicos" não são fecundos enquanto que explicações adicionais. Nesse sentido, o autor do artigo defende que toda e qualquer proposta cosmoíógica terá de ser sempre aberta, e isso precisamente devido à presença de questões-íimite que brotam a partir da investigação científica, mas que não podem por esta ser respondidas. Finalmente, mostra-se ainda que estas questões-limite dão azo a uma diversidade de interpretações religiosas, entre estas se vislumbrando posições como a tetsta, a panteísta e a agnóstica. (shrink)