Infinity and the Mind

The Science and Philosophy of the Infinite

Author: Rudy Rucker

Publisher: Princeton University Press

ISBN: 1400849047

Category: Mathematics

Page: 368

View: 8129

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In Infinity and the Mind, Rudy Rucker leads an excursion to that stretch of the universe he calls the "Mindscape," where he explores infinity in all its forms: potential and actual, mathematical and physical, theological and mundane. Rucker acquaints us with Gödel's rotating universe, in which it is theoretically possible to travel into the past, and explains an interpretation of quantum mechanics in which billions of parallel worlds are produced every microsecond. It is in the realm of infinity, he maintains, that mathematics, science, and logic merge with the fantastic. By closely examining the paradoxes that arise from this merging, we can learn a great deal about the human mind, its powers, and its limitations. Using cartoons, puzzles, and quotations to enliven his text, Rucker guides us through such topics as the paradoxes of set theory, the possibilities of physical infinities, and the results of Gödel's incompleteness theorems. His personal encounters with Gödel the mathematician and philosopher provide a rare glimpse at genius and reveal what very few mathematicians have dared to admit: the transcendent implications of Platonic realism.

Infinity and the Brain

A Unified Theory of Mind, Matter and God

Author: Glenn Dudley

Publisher: Paragon House

ISBN: N.A

Category: Religion

Page: 384

View: 2775

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Infinity and the Brain offers a unique and logical solution to the mind-body problem. The book proposes that the relationship between mind and body is understandable only to the measure that we and our brains are unceasingly dependent upon the immanence of God. Part I explains why this is true based on how all physical structure tends to dissipate, thus moving toward its own nonexistence-a process that links the stability of all organized matter, including the brain, to the infinitude of God. The book explains why, were it not for the expectable wholeness of an image and a concomitant restraint of the Second Law of Thermodynamics, matter itself would be impossible. Part II theorizes that we have necessarily been made "in the image" of God if we are to explain the brain's homuncular design, a design by which the release of structurally-bound energy-in the incipient absence of an image-parallels an accelerating movement toward infinitude. The only requirement is that the universe must be fundamentally God-centered and personal-so personal that perception is literally equivalent to the efficiency by which an organism expects and habituates to its own finitude as contrasted with the infinitude of God.

Satan, Cantor, And Infinity And Other Mind-bogglin

Author: Raymond M. Smullyan

Publisher: Knopf

ISBN: 0307819825

Category: Games & Activities

Page: 270

View: 2273

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More than two hundred new and challenging logic puzzles—the simplest brainteaser to the most complex paradoxes in contemporary mathematical thinking—from our topmost puzzlemaster (“the most entertaining logician who ever lived,” Martin Gardner has called him). Our guide to the puzzles is the Sorcerer, who resides on the Island of Knights and Knaves, where knights always tell the truth and knaves always lie, and he introduces us to the amazing magic—logic—that enables to discover which inhabitants are which. Then, in a picaresque adventure in logic, he takes us to the planet Og, to the Island of Partial Silence, and to a land where metallic robots wearing strings of capital letters are noisily duplicating and dismantling themselves and others. The reader’s job is to figure out how it all works. Finally, we accompany the Sorcerer on an alluring tour of Infinity which includes George Cantor’s amazing mathematical insights. The tour (and the book) ends with Satan devising a diabolical puzzle for one of Cantor’s prize students—who outwits him! In sum: a devilish magician’s cornucopia of puzzles—a delight for every age and level of ability.

To Infinity and Beyond

A Cultural History of the Infinite

Author: Eli Maor

Publisher: Princeton University Press

ISBN: 9780691025117

Category: Mathematics

Page: 284

View: 9308

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Eli Maor examines the role of infinity in mathematics and geometry and its cultural impact on the arts and sciences. He evokes the profound intellectual impact the infinite has exercised on the human mind--from the "horror infiniti" of the Greeks to the works of M. C. Escher; from the ornamental designs of the Moslems, to the sage Giordano Bruno, whose belief in an infinite universe led to his death at the hands of the Inquisition. But above all, the book describes the mathematician's fascination with infinity--a fascination mingled with puzzlement. "Maor explores the idea of infinity in mathematics and in art and argues that this is the point of contact between the two, best exemplified by the work of the Dutch artist M. C. Escher, six of whose works are shown here in beautiful color plates."--Los Angeles Times "[Eli Maor's] enthusiasm for the topic carries the reader through a rich panorama."--Choice "Fascinating and enjoyable.... places the ideas of infinity in a cultural context and shows how they have been espoused and molded by mathematics."--Science

Infinite Minds

A Philosophical Cosmology

Author: John Leslie

Publisher: Oxford University Press

ISBN: 9780199248933

Category: Philosophy

Page: 234

View: 5227

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John Leslie unfolds his view of the nature of the universe in this book - a view which is unusual yet rich in philosophical inspiration and suggestion. Over the last three decades he has been developing his theory in a series of publications, and with this title he brings it to its definitive conclusion.

Georg Cantor

der Jahrhundertmathematiker und die Entdeckung des Unendlichen

Author: David Foster Wallace

Publisher: N.A

ISBN: 9783492048262

Category:

Page: 407

View: 7836

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Infinity

New Research Frontiers

Author: Michael Heller,W. Hugh Woodin

Publisher: Cambridge University Press

ISBN: 1139495569

Category: Mathematics

Page: N.A

View: 5471

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This interdisciplinary study of infinity explores the concept through the prism of mathematics and then offers more expansive investigations in areas beyond mathematical boundaries to reflect the broader, deeper implications of infinity for human intellectual thought. More than a dozen world-renowned researchers in the fields of mathematics, physics, cosmology, philosophy and theology offer a rich intellectual exchange among various current viewpoints, rather than displaying a static picture of accepted views on infinity. The book starts with a historical examination of the transformation of infinity from a philosophical and theological study to one dominated by mathematics. It then offers technical discussions on the understanding of mathematical infinity. Following this, the book considers the perspectives of physics and cosmology: can infinity be found in the real universe? Finally, the book returns to questions of philosophical and theological aspects of infinity.

Unendlicher Spaß

Infinite Jest. Roman

Author: David Foster Wallace

Publisher: Kiepenheuer & Witsch

ISBN: 3462305379

Category: Fiction

Page: 1552

View: 4073

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Der Kultroman als eBook! »Unendlicher Spaß vereint literarische Innovation und Lesbarkeit auf eigene, unerhörte, markerschütternde Weise.« Frankfurter Allgemeine Zeitung »Unendlicher Spa߫ – so nannte James Incandenza seinen Film, der Menschen, die ihn anschauen, so verhext, dass sie sich nicht mehr von ihm lösen können und dabei verdursten und verhungern. Sein Sohn Hal, ein Tenniswunderkind mit außergewöhnlichen intellektuellen Fähigkeiten, studiert an der Enfield Tennis Academy (ETA), die von seinem Vater gegründet wurde. Hier sowie im nahe gelegenen Ennet-House, einem Entziehungsheim für Drogenabhängige, spielt ein Teil der überbordenden Handlung, die jeden literarischen Kosmos sprengt – in einem leicht in die Zukunft versetzten Amerika, das mit Kanada und Mexiko die »Organisation der nordamerikanischen Nationen« bildet und von radikalen Separatisten in Kanada bekämpft wird. 1996 erschien »Infinite Jest« in den USA und machte David Foster Wallace über Nacht zum Superstar der Literaturszene. Nicht allein der schiere Umfang, sondern vor allem die sprachliche Kreativität, die ungeheure Themenvielfalt, die treffsichere Gesellschaftskritik, scharfe Analyse sowie der Humor machen den Roman zum Meilenstein der amerikanischen Literatur. Namhafte Autoren von Dave Eggers bis Jonathan Franzen sehen in diesem Buch ein Vorbild für ihr Schaffen. Ulrich Blumenbach hat sechs Jahre lang an der Übersetzung gearbeitet, und seine kongeniale Übertragung ins Deutsche wurde mit zahlreichen Preisen ausgezeichnet.

Of Time and Infinity

To Touch the Mind of God

Author: Leon Arceneaux

Publisher: iUniverse

ISBN: 0595810985

Category: Religion

Page: 50

View: 8305

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We live in a universe that in many respects is a mystery that we are trying to understand. Join the author on a voyage-a voyage past time into infinity. Walk with the author as he discusses the tiniest particles of matter, and then reach out into our indescribable universe-to Black Holes and Quasars. Wonder about other dimensions and other beings. Question how microbes and trees communicate. Launch your voyage from the beginning of creation and hang on for the ride. The purpose of, Of Time and Infinity, is to open the door of the "cage" where we have been taught to imprison our mind, and let it fly free-to look beyond the four dimensions that we are familiar with-beyond time into infinity. In doing so, we may touch the mind of God.

Mind Tools

The Five Levels of Mathematical Reality

Author: Rudy Rucker

Publisher: Courier Corporation

ISBN: 0486782190

Category: Mathematics

Page: 336

View: 7569

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From mathematics and computers to insights into the workings of the human mind, this popular mathematics book reflects the intelligence gathered from the frontiers of mathematical thought. Illuminated by more than 100 drawings. 1987 edition.

Mechanism, Mentalism and Metamathematics

An Essay on Finitism

Author: J. Webb

Publisher: Springer Science & Business Media

ISBN: 940157653X

Category: Philosophy

Page: 285

View: 5015

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This book grew out of a graduate student paper [261] in which I set down some criticisms of J. R. Lucas' attempt to refute mechanism by means of G6del's theorem. I had made several such abortive attempts myself and had become familiar with their pitfalls, and especially with the double edged nature of incompleteness arguments. My original idea was to model the refutation of mechanism on the almost universally accepted G6delian refutation of Hilbert's formalism, but I kept getting stuck on questions of mathematical philosophy which I found myself having to beg. A thorough study of the foundational works of Hilbert and Bernays finally convinced me that I had all too naively and uncritically bought this refutation of formalism. I did indeed discover points of surprisingly close contact between formalism and mechanism, but also that it was possible to under mine certain strong arguments against these positions precisely by invok ing G6del's and related work. I also began to realize that the Church Turing thesis itself is the principal bastion protecting mechanism, and that G6del's work was perhaps the best thing that ever happened to both mechanism and formalism. I pushed these lines of argument in my dis sertation with the patient help of my readers, Raymond Nelson and Howard Stein. I would especially like to thank the latter for many valuable criticisms of my dissertation as well as some helpful suggestions for reor ganizing it in the direction of the present book.

The Large, the Small and the Human Mind

Author: Roger Penrose,Abner Shimony,Malcolm Longair,Nancy Cartwright,Stephen Hawking

Publisher: Cambridge University Press

ISBN: 9780521785723

Category: Computers

Page: 201

View: 5394

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Accessible and stimulating introduction to Roger Penrose's vision of theoretical physics for the twenty-first century.

Hohlwelt

Roman

Author: Rudy Rucker

Publisher: Heyne Verlag

ISBN: 3641151767

Category: Fiction

Page: N.A

View: 1910

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Abstieg ins Innere der Erde Im Jahre 1839 muss der fünfzehnjährige Mason Algiers Reynolds die Farm seiner Eltern in Virginia verlassen, weil man ihn für einen Mörder hält. Dabei war der Tod seines Doppelgängers nichts weiter als ein dummer Unfall! Er flüchtet sich nach Richmond zu seinem Helden, dem trinkfreudigen Edgar Allan Poe, der ihm eine Stelle als Druckerlehrling anbietet. Poe trägt sich mit einem verrückten Gedanken: Er will das Schreiben aufgeben und zum Südpol reisen, wo er durch einen Vulkan ins Innere der Erde absteigen will. Dort, so sagt er, befinde sich die gigantische Hohlwelt, in der die Menschen in Blumen wohnen, seltsame Tiere leben und Raum und Zeit sich einander rätselhaft durchdringen ....

The Complete Dictionary of Arts and Sciences

In which the Whole Circle of Human Learning is Explained, and the Difficulties Attending the Acquisition of Every Art, Whether Liberal Or Mechanical, are Removed ... The Theological, Philological, and Critical Branches

Author: Temple Henry Croker

Publisher: N.A

ISBN: N.A

Category:

Page: N.A

View: 6037

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