The Higher Infinite

Author : Akihiro Kanamori
Publisher : Springer Science & Business Media
ISBN 13 : 3540888675
Total Pages : 555 pages
Book Rating : 4.73/5 ( download)

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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.

Author : Akihiro Kanamori
Publisher : Springer Science & Business Media
ISBN 13 : 3540888667
Total Pages : 554 pages
Book Rating : 4.66/5 ( download)

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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.

Author : Matthew Foreman
Publisher : Springer Science & Business Media
ISBN 13 : 1402057644
Total Pages : 2200 pages
Book Rating : 4.49/5 ( download)

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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.

Author : Loren Graham
Publisher : Harvard University Press
ISBN 13 : 0674032934
Total Pages : 252 pages
Book Rating : 4.34/5 ( download)

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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.

Author : Steven Strogatz
Publisher : Eamon Dolan Books
ISBN 13 : 1328879984
Total Pages : 389 pages
Book Rating : 4.81/5 ( download)

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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.

Author : Simon Sinek
Publisher : Penguin
ISBN 13 : 0735213526
Total Pages : 272 pages
Book Rating : 4.24/5 ( download)

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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.

Author : Jivolae James Harris MBA
Publisher : iUniverse
ISBN 13 : 153200964X
Total Pages : 245 pages
Book Rating : 4.48/5 ( download)

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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 245 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.

Author : John Stillwell
Publisher : CRC Press
ISBN 13 : 1439865507
Total Pages : 202 pages
Book Rating : 4.07/5 ( download)

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Download or read book Roads to Infinity written by John Stillwell and published by CRC Press. This book was released on 2010-07-13 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt: Winner of a CHOICE Outstanding Academic Title Award for 2011!This book offers an introduction to modern ideas about infinity and their implications for mathematics. It unifies ideas from set theory and mathematical logic, and traces their effects on mainstream mathematical topics of today, such as number theory and combinatorics. The treatment is h

Author : Randy Ribay
Publisher : Simon and Schuster
ISBN 13 : 1440588155
Total Pages : 240 pages
Book Rating : 4.50/5 ( download)

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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 240 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.

Author : Jorge Luis Borges
Publisher : Dutton Books
ISBN 13 :
Total Pages : 136 pages
Book Rating : 4.34/5 ( download)

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Download or read book The Book of Sand written by Jorge Luis Borges and published by Dutton Books. This book was released on 1977 with total page 136 pages. Available in PDF, EPUB and Kindle. Book excerpt: Thirteen new stories by the celebrated writer, including two which he considers his greatest achievements to date, artfully blend elements from many literary geares.