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Infinity and the Mind : the Science and Philosophy of the Infinite /
A dynamic exploration of infinityIn 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. Using cartoons, puzzles...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Princeton :
Princeton University Press,
2019.
|
| Colección: | Princeton science library ;
86. |
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 100 | 1 | |a Rucker, Rudy v. B. |q (Rudy von Bitter), |d 1946- | |
| 245 | 1 | 0 | |a Infinity and the Mind : |b the Science and Philosophy of the Infinite / |c with a new preface by the author Rudy Rucker. |
| 264 | 1 | |a Princeton : |b Princeton University Press, |c 2019. | |
| 300 | |a 1 online resource | ||
| 336 | |a text |b txt |2 rdacontent | ||
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| 490 | 1 | |a Princeton science library ; |v 86 | |
| 588 | 0 | |a Online resource; title from PDF file page (EBSCO, viewed May 13, 2019). | |
| 505 | 0 | |a Cover; Title; Copyright; TABLE OF CONTENTS; Preface to the 2019 Edition; Preface to the 2005 Edition; Preface to the 1995 Paperback Edition; Preface to the First Edition; Chapter One: Infinity; A Short History of Infinity; Physical Infinities; Temporal Infinities; Spatial Infinities; Infinities in the Small; Conclusion; Infinities in the Mindscape; The Absolute Infinite; Connections; Puzzles and Paradoxes; Chapter Two: All the Numbers; From Pythagoreanism to Cantorism; Transfinite Numbers; From Omega to Epsilon-Zero; The Alefs; Infinitesimals and Surreal Numbers; Higher Physical Infinities | |
| 505 | 8 | |a Puzzles and ParadoxesChapter Three: The Unnameable; The Berry Paradox; Naming Numbers; Understanding Names; Random Reals; Constructing Reals; The Library of Babel; Richard's Paradox; Coding the World; What is Truth?; Conclusion; Puzzles and Paradoxes; Chapter Four: Robots and Souls; Gödel's Incompleteness Theorem; Conversations with Gödel; Towards Robot Consciousness; Formal Systems and Machines; The Liar Paradox and the Non-Mechanizability of Mathematics; Artificial Intelligence via Evolutionary Processes; Robot Consciousness; Beyond Mechanism?; Puzzles and Paradoxes | |
| 505 | 8 | |a Chapter Five: The One and the ManyThe Classical One/Many Problem; What is a Set?; The Universe of Set Theory; Pure Sets and the Physical Universe; Proper Classes and Metaphysical Absolutes; Interface Enlightenment; One/Many in Logic and Set Theory; Mysticism and Rationality; Satori; Puzzles and Paradoxes; Excursion One: The Transfinite Cardinals; On and Alef-One; Cardinality; The Continuum; Large Cardinals; Excursion Two: Gödel's Incompleteness Theorems; Formal Systems; Self-Reference; Gödel's Proof; A Technical Note on Man-Machine Equivalence; Answers to the Puzzles and Paradoxes; Notes | |
| 520 | |a A dynamic exploration of infinityIn 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. Using cartoons, puzzles, and "ations to enliven his text, Rucker acquaints us with staggeringly advanced levels of infinity, delves into the depths beneath daily awareness, and explains Kurt Gödel's belief in the possibility of robot consciousness. In the realm of infinity, mathematics, science, and logic merge with the fantastic. By closely examining the paradoxes that arise, we gain profound insights into the human mind, its powers, and its limitations. This Princeton Science Library edition includes a new preface by the author. | ||
| 504 | |a Includes bibliographical references and index. | ||
| 590 | |a JSTOR |b Books at JSTOR Evidence Based Acquisitions | ||
| 590 | |a JSTOR |b Books at JSTOR All Purchased | ||
| 590 | |a JSTOR |b Books at JSTOR Demand Driven Acquisitions (DDA) | ||
| 650 | 0 | |a Logic, Symbolic and mathematical. | |
| 650 | 0 | |a Set theory. | |
| 650 | 0 | |a Infinite. | |
| 650 | 6 | |a Logique symbolique et mathématique. | |
| 650 | 6 | |a Théorie des ensembles. | |
| 650 | 6 | |a Infini. | |
| 650 | 7 | |a infinity. |2 aat | |
| 650 | 7 | |a PHILOSOPHY |x Metaphysics. |2 bisacsh | |
| 650 | 7 | |a MATHEMATICS |x Infinity. |2 bisacsh | |
| 650 | 7 | |a Infinite. |2 fast |0 (OCoLC)fst00972421 | |
| 650 | 7 | |a Logic, Symbolic and mathematical. |2 fast |0 (OCoLC)fst01002068 | |
| 650 | 7 | |a Set theory. |2 fast |0 (OCoLC)fst01113587 | |
| 776 | 0 | 8 | |i Print version: |a Rucker, Rudy v. B. (Rudy von Bitter), 1946- |t Infinity and the mind. |b 2005 ed. |d Princeton, N.J. : Princeton University Press, 2005 |z 0691121273 |z 9780691121277 |w (DLC) 2004110335 |w (OCoLC)56998975 |
| 830 | 0 | |a Princeton science library ; |v 86. | |
| 856 | 4 | 0 | |u https://jstor.uam.elogim.com/stable/10.2307/j.ctvc775sx |z Texto completo |
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