Approaching Infinity

Approaching Infinity
Author: M. Huemer
Publisher: Springer
Total Pages: 285
Release: 2016-05-23
Genre: Philosophy
ISBN: 1137560878
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Approaching Infinity addresses seventeen paradoxes of the infinite, most of which have no generally accepted solutions. The book addresses these paradoxes using a new theory of infinity, which entails that an infinite series is uncompletable when it requires something to possess an infinite intensive magnitude. Along the way, the author addresses the nature of numbers, sets, geometric points, and related matters. The book addresses the need for a theory of infinity, and reviews both old and new theories of infinity. It discussing the purposes of studying infinity and the troubles with traditional approaches to the problem, and concludes by offering a solution to some existing paradoxes.

Approaching Infinity

Approaching Infinity
Author: M. Huemer
Publisher: Palgrave Macmillan
Total Pages: 0
Release: 2016-03-14
Genre: Philosophy
ISBN: 9781137560865
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Approaching Infinity addresses seventeen paradoxes of the infinite, most of which have no generally accepted solutions. The book addresses these paradoxes using a new theory of infinity, which entails that an infinite series is uncompletable when it requires something to possess an infinite intensive magnitude. Along the way, the author addresses the nature of numbers, sets, geometric points, and related matters. The book addresses the need for a theory of infinity, and reviews both old and new theories of infinity. It discussing the purposes of studying infinity and the troubles with traditional approaches to the problem, and concludes by offering a solution to some existing paradoxes.

The Infinite Game

The Infinite Game
Author: Simon Sinek
Publisher: Penguin
Total Pages: 272
Release: 2019-10-15
Genre: Business & Economics
ISBN: 0735213526
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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.

The Beginning of Infinity

The Beginning of Infinity
Author: David Deutsch
Publisher: Penguin UK
Total Pages: 571
Release: 2011-03-31
Genre: Science
ISBN: 0141969695
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'Science has never had an advocate quite like David Deutsch ... A computational physicist on a par with his touchstones Alan Turing and Richard Feynman, and a philosopher in the line of his greatest hero, Karl Popper. His arguments are so clear that to read him is to experience the thrill of the highest level of discourse available on this planet and to understand it' Peter Forbes, Independent In our search for truth, how far have we advanced? This uniquely human quest for good explanations has driven amazing improvements in everything from scientific understanding and technology to politics, moral values and human welfare. But will progress end, either in catastrophe or completion - or will it continue infinitely? In this profound and seminal book, David Deutsch explores the furthest reaches of our current understanding, taking in the Infinity Hotel, supernovae and the nature of optimism, to instill in all of us a wonder at what we have achieved - and the fact that this is only the beginning of humanity's infinite possibility. 'This is Deutsch at his most ambitious, seeking to understand the implications of our scientific explanations of the world ... I enthusiastically recommend this rich, wide-ranging and elegantly written exposition of the unique insights of one of our most original intellectuals' Michael Berry, Times Higher Education Supplement 'Bold ... profound ... provocative and persuasive' Economist 'David Deutsch may well go down in history as one of the great scientists of our age' Scotsman

The Artifact Competition

The Artifact Competition
Author: Chris Eisenlauer
Publisher: Createspace Independent Pub
Total Pages: 244
Release: 2011-09-01
Genre: Fiction
ISBN: 9781466275348
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Jav Holson has a time bomb ticking away inside him with one chance to survive: learn the martial art known as the Eighteen Heavenly Claws and win the Artifact Competition. The prize will make him an elite Shade of the Viscain Empire and virtually immortal. There's just one catch: learning the Eighteen Heavenly Claws. Jav is willing and able, but nobody knows when the time bomb will go off. Undeterred, he practices long past dark every day, enduring heavy gravity training and the not-so-petty abuse of other students. His only distraction is carving stone flowers for the girl he inadvertently put into a coma, and for Mai, who takes over his training. Even as Jav begins to excel, developing a number of unique techniques based on the advanced Approaching Infinity principles, one of his teachers tries to kill him in a fit of prideful anger. Another tries to seduce him, which would be all well and good if Jav hadn't already fallen for Mai. His every success has a cost and every step along the tightrope path is a hazard, but the competition still lies ahead. For all the challenges his training poses, Jav must still cross fists with the top fighters of the Viscain Empire and risk a double--permanent--loss to ensure his preservation.

Where There Is No Teacher

Where There Is No Teacher
Author:
Publisher: Gregor Passolt
Total Pages: 196
Release:
Genre:
ISBN:
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Meet Me At Infinity

Meet Me At Infinity
Author: James Tiptree
Publisher: Macmillan
Total Pages: 404
Release: 2001-06-02
Genre: Fiction
ISBN: 9780312869380
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James Tiptree, Jr. was the pseudonym of Alice B. Sheldon (1915-1987), in whose honor the Tiptree Awards are given annually. She wrote some of the best short SF ever, winning two Hugos and three Nebulas. This book brings together stories previously uncollected-including an early one published under her own name in The New Yorker-and many of her colorful non-fiction pieces, mainly autobiographical, published under the Tiptree name (1970-1987). What shines through in this book is the magnetic and charming personality of the author, one of the most influential SF personalities of her era.

A Participatory Approach To Modern Geometry

A Participatory Approach To Modern Geometry
Author: Jay Kappraff
Publisher: World Scientific Publishing Company
Total Pages: 273
Release: 2014-08-25
Genre: Mathematics
ISBN: 9814556726
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This book aims to make the subject of geometry and its applications easy and comfortable to understand by students majoring in mathematics or the liberal arts, architecture and design. It can be used to teach students at different levels of computational ability and there is also sufficient novel material to interest students at a higher cognitive level. While the book goes deeply into the applications of geometry, it contains much introductory material which up to now may not have been known to the student. The constructive approach using compass and straightedge engages students, not just on an intellectual level, but also at a tactile level. This may be the only rigorous book offering geometry that attempts to engage students outside of the mathematics discipline.

Beyond Infinity

Beyond Infinity
Author: Eugenia Cheng
Publisher: Profile Books
Total Pages: 191
Release: 2017-03-09
Genre: Mathematics
ISBN: 1782830812
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SHORTLISTED FOR THE 2017 ROYAL SOCIETY SCIENCE BOOK PRIZE Even small children know there are infinitely many whole numbers - start counting and you'll never reach the end. But there are also infinitely many decimal numbers between zero and one. Are these two types of infinity the same? Are they larger or smaller than each other? Can we even talk about 'larger' and 'smaller' when we talk about infinity? In Beyond Infinity, international maths sensation Eugenia Cheng reveals the inner workings of infinity. What happens when a new guest arrives at your infinite hotel - but you already have an infinite number of guests? How does infinity give Zeno's tortoise the edge in a paradoxical foot-race with Achilles? And can we really make an infinite number of cookies from a finite amount of cookie dough? Wielding an armoury of inventive, intuitive metaphor, Cheng draws beginners and enthusiasts alike into the heart of this mysterious, powerful concept to reveal fundamental truths about mathematics, all the way from the infinitely large down to the infinitely small.

Study of the Critical Points at Infinity Arising from the Failure of the Palais-Smale Condition for n-Body Type Problems

Study of the Critical Points at Infinity Arising from the Failure of the Palais-Smale Condition for n-Body Type Problems
Author: Hasna Riahi
Publisher: American Mathematical Soc.
Total Pages: 127
Release: 1999
Genre: Mathematics
ISBN: 0821808737
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In this work, the author examines the following: When the Hamiltonian system $m i \ddot{q} i + (\partial V/\partial q i) (t,q) =0$ with periodicity condition $q(t+T) = q(t),\; \forall t \in \germ R$ (where $q {i} \in \germ R{\ell}$, $\ell \ge 3$, $1 \le i \le n$, $q = (q {1},...,q {n})$ and $V = \sum V {ij}(t,q {i}-q {j})$ with $V {ij}(t,\xi)$ $T$-periodic in $t$ and singular in $\xi$ at $\xi = 0$) is posed as a variational problem, the corresponding functional does not satisfy the Palais-Smale condition and this leads to the notion of critical points at infinity. This volume is a study of these critical points at infinity and of the topology of their stable and unstable manifolds. The potential considered here satisfies the strong force hypothesis which eliminates collision orbits. The details are given for 4-body type problems then generalized to n-body type problems.