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The Higher Infinite
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Book Synopsis The Higher Infinite by : Akihiro Kanamori
Download or read book The Higher Infinite written by Akihiro Kanamori and published by Springer Science & Business Media. This book was released on 2008-11-23 with total page 555 pages. Available in PDF, EPUB and Kindle. Book excerpt: Over the years, this book has become a standard reference and guide in the set theory community. It provides a comprehensive account of the theory of large cardinals from its beginnings and some of the direct outgrowths leading to the frontiers of contemporary research, with open questions and speculations throughout.
Book Synopsis The Higher Infinite by : Akihiro Kanamori
Download or read book The Higher Infinite written by Akihiro Kanamori and published by Springer Science & Business Media. This book was released on 2008-11-28 with total page 554 pages. Available in PDF, EPUB and Kindle. Book excerpt: Over the years, this book has become a standard reference and guide in the set theory community. It provides a comprehensive account of the theory of large cardinals from its beginnings and some of the direct outgrowths leading to the frontiers of contemporary research, with open questions and speculations throughout.
Download or read book Naming Infinity written by Loren Graham and published by Harvard University Press. This book was released on 2009-03-31 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt: In 1913, Russian imperial marines stormed an Orthodox monastery at Mt. Athos, Greece, to haul off monks engaged in a dangerously heretical practice known as Name Worshipping. Exiled to remote Russian outposts, the monks and their mystical movement went underground. Ultimately, they came across Russian intellectuals who embraced Name Worshipping—and who would achieve one of the biggest mathematical breakthroughs of the twentieth century, going beyond recent French achievements. Loren Graham and Jean-Michel Kantor take us on an exciting mathematical mystery tour as they unravel a bizarre tale of political struggles, psychological crises, sexual complexities, and ethical dilemmas. At the core of this book is the contest between French and Russian mathematicians who sought new answers to one of the oldest puzzles in math: the nature of infinity. The French school chased rationalist solutions. The Russian mathematicians, notably Dmitri Egorov and Nikolai Luzin—who founded the famous Moscow School of Mathematics—were inspired by mystical insights attained during Name Worshipping. Their religious practice appears to have opened to them visions into the infinite—and led to the founding of descriptive set theory. The men and women of the leading French and Russian mathematical schools are central characters in this absorbing tale that could not be told until now. Naming Infinity is a poignant human interest story that raises provocative questions about science and religion, intuition and creativity.
Book Synopsis Handbook of Set Theory by : Matthew Foreman
Download or read book Handbook of Set Theory written by Matthew Foreman and published by Springer Science & Business Media. This book was released on 2009-12-10 with total page 2200 pages. Available in PDF, EPUB and Kindle. Book excerpt: Numbers imitate space, which is of such a di?erent nature —Blaise Pascal It is fair to date the study of the foundation of mathematics back to the ancient Greeks. The urge to understand and systematize the mathematics of the time led Euclid to postulate axioms in an early attempt to put geometry on a ?rm footing. With roots in the Elements, the distinctive methodology of mathematics has become proof. Inevitably two questions arise: What are proofs? and What assumptions are proofs based on? The ?rst question, traditionally an internal question of the ?eld of logic, was also wrestled with in antiquity. Aristotle gave his famous syllogistic s- tems, and the Stoics had a nascent propositional logic. This study continued with ?ts and starts, through Boethius, the Arabs and the medieval logicians in Paris and London. The early germs of logic emerged in the context of philosophy and theology. The development of analytic geometry, as exempli?ed by Descartes, ill- tratedoneofthedi?cultiesinherentinfoundingmathematics. Itisclassically phrased as the question ofhow one reconciles the arithmetic with the geom- ric. Arenumbers onetypeofthingand geometricobjectsanother? Whatare the relationships between these two types of objects? How can they interact? Discovery of new types of mathematical objects, such as imaginary numbers and, much later, formal objects such as free groups and formal power series make the problem of ?nding a common playing ?eld for all of mathematics importunate. Several pressures made foundational issues urgent in the 19th century.
Book Synopsis The Infinite Book by : John D. Barrow
Download or read book The Infinite Book written by John D. Barrow and published by Vintage. This book was released on 2007-12-18 with total page 293 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Infinite Powers by : Steven Strogatz
Download or read book Infinite Powers written by Steven Strogatz and published by Eamon Dolan Books. This book was released on 2019 with total page 389 pages. Available in PDF, EPUB and Kindle. Book excerpt: From preeminent math personality and author of The Joy of x, a brilliant and endlessly appealing explanation of calculus - how it works and why it makes our lives immeasurably better. Without calculus, we wouldn't have cell phones, TV, GPS, or ultrasound. We wouldn't have unraveled DNA or discovered Neptune or figured out how to put 5,000 songs in your pocket. Though many of us were scared away from this essential, engrossing subject in high school and college, Steven Strogatz's brilliantly creative, down‑to‑earth history shows that calculus is not about complexity; it's about simplicity. It harnesses an unreal number--infinity--to tackle real‑world problems, breaking them down into easier ones and then reassembling the answers into solutions that feel miraculous. Infinite Powers recounts how calculus tantalized and thrilled its inventors, starting with its first glimmers in ancient Greece and bringing us right up to the discovery of gravitational waves (a phenomenon predicted by calculus). Strogatz reveals how this form of math rose to the challenges of each age: how to determine the area of a circle with only sand and a stick; how to explain why Mars goes "backwards" sometimes; how to make electricity with magnets; how to ensure your rocket doesn't miss the moon; how to turn the tide in the fight against AIDS. As Strogatz proves, calculus is truly the language of the universe. By unveiling the principles of that language, Infinite Powers makes us marvel at the world anew.
Book Synopsis Theory and Application of Infinite Series by : Konrad Knopp
Download or read book Theory and Application of Infinite Series written by Konrad Knopp and published by . This book was released on 1928 with total page 596 pages. Available in PDF, EPUB and Kindle. Book excerpt: Trans from the 2nd German ed , pub 1923.
Download or read book The Infinite Game written by Simon Sinek and published by Penguin. This book was released on 2019-10-15 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the New York Times bestselling author of Start With Why and Leaders Eat Last, a bold framework for leadership in today’s ever-changing world. How do we win a game that has no end? Finite games, like football or chess, have known players, fixed rules and a clear endpoint. The winners and losers are easily identified. Infinite games, games with no finish line, like business or politics, or life itself, have players who come and go. The rules of an infinite game are changeable while infinite games have no defined endpoint. There are no winners or losers—only ahead and behind. The question is, how do we play to succeed in the game we’re in? In this revelatory new book, Simon Sinek offers a framework for leading with an infinite mindset. On one hand, none of us can resist the fleeting thrills of a promotion earned or a tournament won, yet these rewards fade quickly. In pursuit of a Just Cause, we will commit to a vision of a future world so appealing that we will build it week after week, month after month, year after year. Although we do not know the exact form this world will take, working toward it gives our work and our life meaning. Leaders who embrace an infinite mindset build stronger, more innovative, more inspiring organizations. Ultimately, they are the ones who lead us into the future.
Book Synopsis Infinity and the Mind by : Rudy Rucker
Download or read book Infinity and the Mind written by Rudy Rucker and published by Princeton University Press. This book was released on 2019-07-23 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: A dynamic exploration of infinity 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. Using cartoons, puzzles, and quotations 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.
Book Synopsis An Infinite Number of Parallel Universes by : Randy Ribay
Download or read book An Infinite Number of Parallel Universes written by Randy Ribay and published by Simon and Schuster. This book was released on 2015-09-04 with total page 279 pages. Available in PDF, EPUB and Kindle. Book excerpt: Four friends from wildly different backgrounds have bonded over Dungeons & Dragons since the sixth grade. Now they're facing senior year and a major shift in their own universes. Math whiz Archie is struggling with his parents' divorce after his dad comes out as gay. Mari is terrified of her adoptive mother's life-altering news. Dante is carrying around a huge secret that is proving impossible to keep hidden. And when Sam gets dumped by the love of his life, everyone is ready to join him on a cross-country quest to win her back. The four quickly discover that the road is not forgiving, and that real life is no game. They must face a test of friendship where the stakes are more than just a roll of the dice--they are life and death.
Book Synopsis Infinite Greatness by : Jivolae James Harris MBA
Download or read book Infinite Greatness written by Jivolae James Harris MBA and published by iUniverse. This book was released on 2016-11-29 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: In mathematics, infinite is defined as lacking limits or endless. In Infinite Greatness, author Jivolae James Harris shows how the extent of ones greatness can be infinite. He discusses how success in life is predicated on how you act and think and how you can transform your mind in order to achieve your goals. Harris introduces a number of high-achieving individuals and profiles their accomplishments throughout history, including a king, a heavyweight champ, a president, a valedictorian, a CEO, and a PhD. Through the habits and actions of these people, he helps you develop like strategies to propel you toward your own personal greatness. Infinite Greatness recommends for you to act like a champ and think like a king. It tells you to reach for the stars, be ambitious, be determined, have a burning desire to be great, follow your passions, and be innovative. Harris outlines a philosophy of greatness that will set you on your path to success and fulfillment.
Book Synopsis The Infinite Staircase by : Geoffrey A. Moore
Download or read book The Infinite Staircase written by Geoffrey A. Moore and published by BenBella Books. This book was released on 2021-08-10 with total page 233 pages. Available in PDF, EPUB and Kindle. Book excerpt: NAUTILUS BOOK AWARD GOLD MEDALIST — BODY, MIND, SPIRIT PRACTICES “Combining an extraordinary range of scholarship with an accessible and entertaining writing style, The Infinite Staircase . . . provides a coherent and unified platform for a full human life.” —Midwest Book Review In this bold new book, high-tech’s best-known strategist makes a seminal contribution to the search for meaning in a secular era. Two questions fundamental to human existence have always been the metaphysical “where do I fit in the grand scheme of things?” and the ethical “how should I behave?” Religion is no longer a source of answers for many people, and nothing has replaced it. Moore uses his signature framework-based approach to answer these questions, taking us on an intellectual roller coaster ride through physics, chemistry, biology, the social sciences and the humanities. Along the way, he builds a metaphorical ladder that leads from the big bang to the need for ethical action in our daily lives. Combining an extraordinary range of scholarship with an accessible and entertaining writing style, The Infinite Staircase: What the Universe Tells Us About Life, Ethics, and Mortality provides a coherent and unified platform for a full human life.
Book Synopsis The Infinite Mindfield by : Anthony Peake
Download or read book The Infinite Mindfield written by Anthony Peake and published by Watkins Media Limited. This book was released on 2013-10-03 with total page 253 pages. Available in PDF, EPUB and Kindle. Book excerpt: Using information from the cutting edge of modern science, Peake presents startling evidence that the inner worlds of our mystics and shamans are as real, or possibly even more real, than the reality we experience in waking life. As his starting point, Peake examines the widespread historical belief that the mid-brain’s pine-cone shaped pineal gland activates the third eye described by mystics and seers. Through careful analysis of ancient religious texts and artifacts, he gives evidence that the spiritual properties of the pineal gland have been embedded in myths and cultures across the globe. (Why else would the Buddha so often be found wearing a pine cone hat?) Peake then shows that it is through this small organ that we experience lucid dreaming, out-of-body experiences, hypnagogic imagery, near-death experiences, astral travel and the kundalini experience. The book ends with the mind-blowing conclusion that all living beings are one unitary consciousness experiencing itself subjectively.
Book Synopsis Infinite in Between by : Carolyn Mackler
Download or read book Infinite in Between written by Carolyn Mackler and published by HarperCollins. This book was released on 2015-09-01 with total page 245 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Breakfast Club meets Boyhood in this striking young adult novel from Printz Honor author Carolyn Mackler, which chronicles the lives of five teenagers through the thrills, heartbreaks, and joys of their four years in high school. "Characters live, grow, and ultimately come of age in a beautifully constructed world,” raved Kirkus in a starred review. Zoe, Jake, Mia, Gregor, and Whitney meet at freshman orientation. At the end of that first day, they make a promise to reunite after graduation. But so much can happen in those in-between years. . . . Zoe fears she will always be in her famous mother’s shadow. Jake struggles to find the right connections in friendship and in love. Mia keeps trying on new identities, looking for one that actually fits. Gregor thought he wanted to be more than just a band geek. And Whitney seems to have it all, until it’s all falling apart around her. Carolyn Mackler skillfully brings the stories of these five disparate teens together to create a distinct and cohesive whole—a novel about how we can all affect one another’s lives in the most unexpected and amazing ways. Infinite in Between received four starred reviews, was listed on several best books of the year lists, and is perfect for fans of books by Jandy Nelson, Sara Zarr, and E. Lockhart.
Book Synopsis The Infinite Noise by : Lauren Shippen
Download or read book The Infinite Noise written by Lauren Shippen and published by Tor Teen. This book was released on 2019-09-24 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lauren Shippen's The Infinite Noise is a stunning, original debut novel based on her wildly popular and award-winning podcast The Bright Sessions. Caleb Michaels is a sixteen-year-old champion running back. Other than that his life is pretty normal. But when Caleb starts experiencing mood swings that are out of the ordinary for even a teenager, his life moves beyond “typical.” Caleb is an Atypical, an individual with enhanced abilities. Which sounds pretty cool except Caleb's ability is extreme empathy—he feels the emotions of everyone around him. Being an empath in high school would be hard enough, but Caleb's life becomes even more complicated when he keeps getting pulled into the emotional orbit of one of his classmates, Adam. Adam's feelings are big and all-consuming, but they fit together with Caleb's feelings in a way that he can't quite understand. Caleb's therapist, Dr. Bright, encourages Caleb to explore this connection by befriending Adam. As he and Adam grow closer, Caleb learns more about his ability, himself, his therapist—who seems to know a lot more than she lets on—and just how dangerous being an Atypical can be. “What if the X-Men, instead of becoming superheroes, decided to spend some time in therapy?” (Vox on The Bright Sessions) At the Publisher's request, this title is being sold without Digital Rights Management Software (DRM) applied.
Download or read book Infinite Risk written by Ann Aguirre and published by Macmillan. This book was released on 2016-08-02 with total page 382 pages. Available in PDF, EPUB and Kindle. Book excerpt: Alone in the wrong timestream, Edie must navigate a new school and try to put her first love Kian on a different path, battling those who will stop at nothing to keep her from derailing their deadly schemes.
Book Synopsis Introduction to Infinity-Categories by : Markus Land
Download or read book Introduction to Infinity-Categories written by Markus Land and published by Springer Nature. This book was released on 2021-04-21 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook is an introduction to the theory of infinity-categories, a tool used in many aspects of modern pure mathematics. It treats the basics of the theory and supplies all the necessary details while leading the reader along a streamlined path from the basic definitions to more advanced results such as the very important adjoint functor theorems. The book is based on lectures given by the author on the topic. While the material itself is well-known to experts, the presentation of the material is, in parts, novel and accessible to non-experts. Exercises complement this textbook that can be used both in a classroom setting at the graduate level and as an introductory text for the interested reader.
