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This work has been selected by scholars as being culturally important and is part of the knowledge base of civilization as we know it. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. To ensure a quality reading experience, this work has been proofread and republished using a format that seamlessly blends the original graphical elements with text in an easy-to-read typeface. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Are there some things we can never think, or know, let alone do? In this fascinating book, acclaimed author John Barrow reveals the often paradoxical limits on knowledge and achievement, and shows that the notion of `impossibility' has played, and continues to play, a striking role in our thinking, and in the way in which we understand the universe and ourselves. - ;What are the true limits of science and human endeavour? The end of each century leads to a stocktaking of human achievement and our expectation about the future. This new book by John D. Barrow looks at what limits there might be to human discovery and what we might find, ultimately, to be unknowable, undoable, or unthinkable. Weaving together a tapestry of surprises, Barrow explores the frontiers of knowledge, taking in surrealism, impossible figures, time travel, paradoxes of logic and perspective, theological speculations about Beings for whom nothing is impossible -- all stimulate us to contemplate something more that what is. With sufficient time and money at our disposal, why should we find anything impossible? Barrow explores the limits that may be imposed upon a full understanding of the physical Universe by constraints of technology, computes, cost, and complexity. He considers how the nature of the universe's structure prevents us from answering the deepest questions about its beginning, its structure, and its future. And he delves into the deep limits imposed by the nature of knowledge itself, which have profound implications for any quest for complete knowledge. They take us into the debates over the problems of free will and consciousness. G--ouml--;del's famous theorem about our inability to capture the truths of mathematics by rules and axioms is explored to see if it has any implications for science. Clearly and engagingly written, and using simple explanations, this book reveals that impossibility is a deep and powerful notion: that any Universe complex enough to contain conscious beings will contain limits on what those beings can know about their Universe: that what we cannot know defines reality as surely as what we can know. Impossibility is a two-edged sword: it threatens the completeness of the scientific enterprise yet without it there would be no laws of Nature, no science, and no scientists. - ;In this illuminating, well-written account of Limits (with capital L), John D. Barrow chronicles and explains the limits of science as a reality-generation mechanism and why it matters.So for about as good an account as you're going to get of where science stops, read this book. It won't tell you any final answer. But the journey is far more interesting - and important - than the destination. - Nature
In The Artful Universe (OUP, 1995) John D. Barrow explored the close ties between our aesthetic appreciation and the basic nature of the Universe, challenging the commonly held view that our sense of beauty is entirely free and unfettered. It looked at some of the unexpected ways in which the structure of the Universe, its laws, its environments, and above all its underlying mathematical structure imprints itself on our thoughts, our aesthetic preferences, and our views about the nature of things. The exploration embraced topics such as perspective; the size of things and the origins of aesthetics; computer art (posing the question: is it art?); and the origins of our susceptibility to music. Life sales of the hardback totalled just over 25,000 copies. The study of the evolutionary and mathematical underpinnings of our aesthetic sense, and our understanding of the nature and scale of the universe has grown over the past decade, with developments in evolutionary psychology, and in cosmology. This paperback of the revised edition (OUP, 2005) contains eight new sections covering the recent discoveries of extrasolar planets, fashionable postmodernist rejection of science as uncovering objective reality, growing understanding of key ratios appearing in biological relationships, and studies of the underlying mathematical structure of a Pollock painting.
For a thousand years, infinity has proven to be a difficult and illuminating challenge for mathematicians and theologians. It certainly is the strangest idea that humans have ever thought. Where did it come from and what is it telling us about our Universe? Can there actually be infinities? Is matter infinitely divisible into ever-smaller pieces? But infinity is also the place where things happen that don't. All manner of strange paradoxes and fantasies characterize an infinite universe. If our Universe is infinite then an infinite number of exact copies of you are, at this very moment, reading an identical sentence on an identical planet somewhere else in the Universe. Now Infinity is the darling of cutting edge research, the measuring stick used by physicists, cosmologists, and mathematicians to determine the accuracy of their theories. From the paradox of Zeno’s arrow to string theory, Cambridge professor John Barrow takes us on a grand tour of this most elusive of ideas and describes with clarifying subtlety how this subject has shaped, and continues to shape, our very sense of the world in which we live. The Infinite Book is a thoroughly entertaining and completely accessible account of the biggest subject of them all–infinity.
There is no more profound, enduring or fascinating question in all of science than that of how time, space, and matter began. Now John Barrow, who has been at the cutting edge of research in this area and has written extensively about it, guides us on a journey to the beginning of time, into a world of temperatures and densities so high that we cannot recreate them in a laboratory. With new insights, Barrow draws us into the latest speculative theories about the nature of time and the “inflationary universe,” explains “wormholes,” showing how they bear upon the fact of our own existence, and considers whether there was a “singularity” at the inception of the universe. Here is a treatment so up-to-date and intellectually rich, deaing with ideas and speculation at the farthest frontier of science, that neither novice nor expert will want to miss what Barrow has to say. The Origin of the Universe is ”In the Beginning” for beginners—the latest information from a first-rate scientist and science writer.
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