Mind Tools

Author: Rudy Rucker
Publisher: Courier Corporation
ISBN: 0486492281
Format: PDF, ePub, Mobi
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Originally published: Boston: Houghton Mifflin, 1987.

Infinity and the Mind

Author: Rudy Rucker
Publisher: Princeton University Press
ISBN: 1400849047
Format: PDF, ePub, Docs
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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.

The Fourth Dimension Toward a Geometry of Higher Reality

Author: Rudy Rucker
Publisher: Courier Corporation
ISBN: 0486798194
Format: PDF, ePub, Mobi
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One of the most talented contemporary authors of cutting-edge math and science books conducts a fascinating tour of a higher reality, the fourth dimension. Includes problems, puzzles, and 200 drawings. "Informative and mind-dazzling." — Martin Gardner.

An Introduction to Mathematical Modeling

Author: Edward A. Bender
Publisher: Courier Corporation
ISBN: 0486137120
Format: PDF, Kindle
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Accessible text features over 100 reality-based examples pulled from the science, engineering, and operations research fields. Prerequisites: ordinary differential equations, continuous probability. Numerous references. Includes 27 black-and-white figures. 1978 edition.

Theory of Reality

Author: David O. Wiebers
Publisher:
ISBN: 9780985937522
Format: PDF, ePub
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"The Theory of Reality combines key elements of neuroscience, physics and metaphysical science to provide critical evidence for existence beyond the brain with practical everyday application for increased compassion, effectiveness and higher understanding in your life. Discover worldview-changing evidence regarding the most basic and profound questions of humankind, and explore the fundamental fabrics of our universe and the purpose of our lives. Equip yourself with new knowledge and empowering tools and techniques designed to help you "put it all together" and chart your own spiritual adventure. Take control of your own life journey and allow inspiration, uncommon creativity and greater happiness to unfold."

Our Mathematical Universe

Author: Max Tegmark
Publisher: Vintage
ISBN: 038535049X
Format: PDF, Docs
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Max Tegmark leads us on an astonishing journey through past, present and future, and through the physics, astronomy and mathematics that are the foundation of his work, most particularly his hypothesis that our physical reality is a mathematical structure and his theory of the ultimate multiverse. In a dazzling combination of both popular and groundbreaking science, he not only helps us grasp his often mind-boggling theories, but he also shares with us some of the often surprising triumphs and disappointments that have shaped his life as a scientist. Fascinating from first to last—this is a book that has already prompted the attention and admiration of some of the most prominent scientists and mathematicians.

Timeless Reality

Author: Victor J. Stenger
Publisher: Prometheus Books
ISBN: 1615922288
Format: PDF, ePub
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Stenger deftly guides both experts and educated lay readers into the complicated field of speculative cosmology.- Science & Theology NewsIn clear, simple prose, physicist Stenger bravely explores quantum theory's most complex and challenging implications - that reality is fundamentally timeless and that time itself may be reversible.- DiscoverQuantum physics has many extraordinary implications. One of the most extraordinary is that events at the atomic and subatomic level seem to depend on the future as well as the past. Is time really reversible?Physicist Victor J. Stenger says yes. Contrary to our most basic assumptions about the inevitable flow of time from past to future, the underlying reality of all phenomena may have no beginning and no end, and not be governed by an arrow of time. Though aware of the possibility, physicists have generally been reluctant to accept the reversibility of time as reality because of the implied causal paradoxes: If time travel to the past were possible, then you could go back and kill your grandfather before he met your grandmother! However, Stenger shows that this paradox does not apply for quantum phenomena.Many people believe that the laws of nature represent a deep, Platonic reality that goes beyond the material objects that are observed by eye and by advanced scientific instruments. Stenger maintains that reality may be simpler and less mysterious than most think. The quantum world only appears mysterious when forced to obey rules of everyday human experience. Stenger convincingly argues that, based on established principles of simplicity and symmetry, at its deepest level reality is literally timeless. Within this reality it is possible that many universes exist with different structures and laws from our own.Stenger elucidates these complex subjects with great clarity and many helpful illustrations in a fascinating book that is understandable to the educated lay reader.Victor Stenger (Lafayette, CO) is emeritus professor of physics and astronomy at the University of Hawaii and adjunct professor of philosophy at the University of Colorado. He is the author of Has Science Found God?, The Comprehensible Cosmos, Timeless Reality, The Unconscious Quantum, Physics and Psychics, the New York Times bestseller God: The Failed Hypothesis, and the forthcoming Quantum Gods.

Is God a Mathematician

Author: Mario Livio
Publisher: Simon and Schuster
ISBN: 9781416594437
Format: PDF, Docs
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Bestselling author and astrophysicist Mario Livio examines the lives and theories of history’s greatest mathematicians to ask how—if mathematics is an abstract construction of the human mind—it can so perfectly explain the physical world. Nobel Laureate Eugene Wigner once wondered about “the unreasonable effectiveness of mathematics” in the formulation of the laws of nature. Is God a Mathematician? investigates why mathematics is as powerful as it is. From ancient times to the present, scientists and philosophers have marveled at how such a seemingly abstract discipline could so perfectly explain the natural world. More than that—mathematics has often made predictions, for example, about subatomic particles or cosmic phenomena that were unknown at the time, but later were proven to be true. Is mathematics ultimately invented or discovered? If, as Einstein insisted, mathematics is “a product of human thought that is independent of experience,” how can it so accurately describe and even predict the world around us? Physicist and author Mario Livio brilliantly explores mathematical ideas from Pythagoras to the present day as he shows us how intriguing questions and ingenious answers have led to ever deeper insights into our world. This fascinating book will interest anyone curious about the human mind, the scientific world, and the relationship between them.

Decoding Reality

Author: Vlatko Vedral
Publisher: Oxford University Press
ISBN: 0192554255
Format: PDF, ePub, Docs
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For a physicist, all the world is information. The Universe and its workings are the ebb and flow of information. We are all transient patterns of information, passing on the recipe for our basic forms to future generations using a four-letter digital code called DNA. In this engaging and mind-stretching account, Vlatko Vedral considers some of the deepest questions about the Universe and considers the implications of interpreting it in terms of information. He explains the nature of information, the idea of entropy, and the roots of this thinking in thermodynamics. He describes the bizarre effects of quantum behaviour — effects such as 'entanglement', which Einstein called 'spooky action at a distance', and explores cutting edge work on harnessing quantum effects in hyperfast quantum computers, and how recent evidence suggests that the weirdness of the quantum world, once thought limited to the tiniest scales, may reach into the macro world. Vedral finishes by considering the answer to the ultimate question: where did all of the information in the Universe come from? The answers he considers are exhilarating, drawing upon the work of distinguished physicist John Wheeler. The ideas challenge our concept of the nature of particles, of time, of determinism, and of reality itself. This edition includes a new foreword from the author, reflecting on changes in the world of quantum information since first publication. Oxford Landmark Science books are 'must-read' classics of modern science writing which have crystallized big ideas, and shaped the way we think.

Educational Technology and Polycontextual Bridging

Author: Eyvind Elstad
Publisher: Springer
ISBN: 9463006451
Format: PDF, ePub
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Technology has become ubiquitous in nearly every contemporary situation, while digital media have acquired considerable importance in the lives of young people. Alongside their interest in digital media, schooling constitutes a core component of the life of children and adolescents. Youth’s use of digital media creates tensions between traditions and expectations of renewal within the school. The once-sharp divide between school and leisure time is eroding. How will the school as an institution relate to this comprehensive process of change known as the digital revolution? How can the school build a bridge between the world of youth and school material to enable students to learn in a new digital age? This endeavor is named polycontextual bridging in this book. What are the good examples of polycontextual bridging? What novel educational goals can be achieved by net-related activities when incorporated into the school, and how can out-of-school learning be successfully framed by educational purposes? These questions are addressed from different perspectives by several scholars in this book. The chapters in this volume offer the most thorough, up-to-date discussion on the challenges of technology use in school education. In tackling the critical issues created by technology, this book provides an important resource for student teachers, teachers, education scholars and those interested in a critical examination of digital expectations and experiences in school education. This book is motivated by a pressing need to come to grips with the dilemmas caused by an apparent clash of learning cultures in the individual classroom, in the schools, in the education of teachers, and in the institutions of teacher education. The book is also a tribute to Gavriel Salomon and his research on the cognitive effects of media's symbol systems, media and learning, and the design of cognitive tools and technology-afforded learning environments. The book also contains his masterpiece “It’s not just the tool, but the educational rationale that counts”. Further, three internationally recognized experts – Howard Gardner, David Perkins, and Daniel Bar-Tal – describe Salomon’s remarkable academic contributions. This book is an attempt to explicate, illustrate, and critically examine the idea of polycontextual bridging between youth’s leisure cultures and school material to enable students to learn in a new digital age. The authors do not present a common front on the complex question of the proper use of information and communication technology in the school but instead present a diversity of arguments and viewpoints. The book is an attempt to raise questions and start a debate.