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Numbers 3 Infinity

Author: Rachel Ward
Publisher: Scholastic Inc.
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The mind-blowing conclusion to the chilling NUMBERS trilogy: Because everyone wants to live forever. No matter what it takes, Sarah's desperate to escape from the numbers. Always numbers. Sarah loves Adam, but can't bear the thought that every time he looks in her eyes, he can see her dying; can see her last day. It's 2029. Two years since the Chaos. Sarah and Adam are struggling to survive. She knows he always envisioned them together "'til death do us part." But will a child come between them? The child she loves. The child he saved. Little Mia was supposed to die that New Year's Day. The numbers don't lie. But somehow she changed her date. Mia's just a baby, oblivious to her special power. But ruthless people are hunting her down, determined to steal her secret. Because everyone wants to live forever.


The End of Infinity

Author: Anthony C. Patton
Publisher: Algora Publishing
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Understanding Infinity

Author: Anthony Gardiner
Publisher: Courier Corporation
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Conceived by the author as an introduction to "why the calculus works," this volume offers a 4-part treatment: an overview; a detailed examination of the infinite processes arising in the realm of numbers; an exploration of the extent to which familiar geometric notions depend on infinite processes; and the evolution of the concept of functions. 1982 edition.


Roads to Infinity

Author: John C. Stillwell
Publisher: CRC Press
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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 historical and partly informal, but with due attention to the subtleties of the subject. Ideas are shown to evolve from natural mathematical questions about the nature of infinity and the nature of proof, set against a background of broader questions and developments in mathematics. A particular aim of the book is to acknowledge some important but neglected figures in the history of infinity, such as Post and Gentzen, alongside the recognized giants Cantor and Gödel.


Plotinus on Number

Author: Svetla Slaveva-Griffin
Publisher: Oxford University Press
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Plotinus on Number studies the fundamental role which number plays in the architecture of the universe in Neoplatonic philosophy. This book draws attention to Platinus' concept as a necesscary and fundamental link between the Platonic and the late Neoplatonic theories of number.


Science of Discworld III Darwin s Watch

Author: Ian Stewart
Publisher: Random House
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Roundworld is in trouble again, and this time it looks fatal. Having created it in the first place, the wizards of Unseen Univeristy feel vaguely responsible for its safety. They know the creatures who lived there escaped the impending Big Freeze by inventing the space elevator - they even intervened to rid the planet of a plague of elves, who attempted to divert humanity onto a different time track. But now it's all gone wrong - Victorian England has stagnated and the pace of progress would embarrass a limping snail. Unless something drastic is done, there won't be time for anyone to invent spaceflight and the human race will be turned into ice-pops. Why, though, did history come adrift? Was it Sir Arthur Nightingale's dismal book about natural selection? Or was it the devastating response by an obscure country vicar called Charles Darwin, whose bestselling Theology of Species made it impossible to refute the divine design of living creatures? Either way, it's no easy task to change history, as the wizards discover to their cost. Can the God of Evolution come to humanity's aid and ensure Darwin writes a very different book? And who stopped him writing it in the first place?


The Search for Physics Infinity

Author: Viktor Moroz
Publisher: AuthorHouse
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Well known that mathematics and physics have problems in their development. Only one mathematician, Morris Kline, discovered illogicality of development of mathematics. Despite this, he attempted to justify illogicality in math by fruitfulness of usage of mathematics in physics, instead to stay problem about illogical development of physics. Here is discussing inconsistencies of undefined notions which are reasons of paradoxes. Main initial notion of mathematics is notion of infinity, and it has inconsistence and this inconsistency is distributed to derived notions of infinitesimal and continuity. Those notions related to almost all branches of mathematics which used physics. Also in work is considering miss inconsistencies of Euclid’s and non-Euclid’s geometries. A lot approaches like “physics is geometry or geometry is physics” was and is ignoring those inconsistencies of geometries.


Conjectures on Primes and Fermat Pseudoprimes Many Based on Smarandache Function

Author: Marius Coman
Publisher: Infinite Study
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It is always difficult to talk about arithmetic, because those who do not know what is about, nor do they understand in few sentences, no matter how inspired these might be, and those who know what is about, do no need to be told what is about. Arithmetic is that branch of mathematics that you keep it in your soul and in your mind, not in your suitcase or laptop. Part One of this book of collected papers aims to show new applications of Smarandache function in the study of some well known classes of numbers, like Sophie Germain primes, Poulet numbers, Carmichael numbers ets. Beside the well-known notions of number theory, we defined in these papers the following new concepts: “Smarandache-Coman divisors of order k of a composite integer n with m prime factors”, “Smarandache-Coman congruence on primes”, “Smarandache-Germain primes”, Coman-Smarandache criterion for primality”, “Smarandache-Korselt criterion”, “Smarandache-Coman constants”. Part Two of this book brings together several papers on few well known and less known types of primes.


Philoponus On Aristotle Physics 3

Author: Mark Edwards
Publisher: A&C Black
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Book 3 of Aristotle's Physics primarily concerns two important concepts for his theory of nature: change and infinity. Change is important because, in Book 2, he has defined nature - the subject-matter of the Physics - as an internal source of change. Much of his discussion is dedicated to showing that the change occurs in the patient which undergoes it, not in the agent which causes it. Thus Book 3 is an important step in clearing the way for Book 8's claims for a divine mover who causes change but in whom no change occurs. The second half of Book 3 introduces Aristotle's doctrine of infinity as something which is always potential, never actual, never traversed and never multiplied. Here, as elsewhere, Philoponus the Christian turns Aristotle's own infinity arguments against the pagan Neoplatonist belief in a beginningless universe. Such a universe, Philoponus replies, would involve actual infinity of past years already traversed, and a multiple number of past days. The commentary also contains intimations of the doctrine of impetus - which has been regarded, in its medieval context, as a scientific revolution - as well as striking examples of Philoponus' use of thought experiments to establish philosophical and broadly scientific conclusions.


Idolatry and Infinity

Author: David R. Topper
Publisher: Universal-Publishers
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Some unwritten stories only exist in fragments. In this book, for the first time, the histories of the injunction against idolatry and the dread of infinity are uniquely woven into one. The spectre of idolatry has haunted the three Western religions since the biblical prohibition. The story of iconoclasm runs from ancient times, where Jews largely ignored the ban on images, through the iconoclastic episodes in Islam and Christianity, and into modern times during the French Revolution. A perhaps surprising thesis of this book is that a conceptual and secular form of iconoclasm continued as the revulsion of illusionism in Modern Art. More recently it flared-up in the dynamiting of two large statues of the Buddha by the Taliban in Afghanistan in 2001. The phobia of infinity arose from Pythagoras's discovery of irrational numbers and it runs through Zeno's paradoxes and Aristotle's philosophy, with only rare cases of defiance, such as Archimedes searching for pi. The angst over infinity continued through the Middle Ages with the theological encounter of an infinite God, as in the writings of Thomas Aquinas, only to be confronted in the Renaissance philosophy of Cusa. At the same time, infinity arose unexpectedly in visual art with the discovery of linear perspective where God was identified with the vanishing point. In the 17th and 18th centuries infinity further emerged not only in the very, very large (the cosmos itself), but in the very, very small (within calculus). This paved the way in the 19th and 20th centuries for the idea of different orders of infinity codified by Georg Cantor, where the concept mingled again with theology. Math and science buffs familiar with some aspects of infinity may first learn of its link with art, as well as a long association with theology - right up to the present. With lucid visual aids for the uninitiated, this book may likewise grant the Art lover access into a previously uncharted territory - a math venture to stretch the mind.