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Author: George Gheverghese Joseph
Publisher:
ISBN: 9789352809301
Category : Astronomy, Medieval
Languages : en
Pages : 233
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Book Description
This work traces the first faltering steps taken in the mathematical theorization of infinity which marks the emergence of modern mathematics. It analyses the part played by Indian mathematics through the Kerala conduit, which is an important but neglected part of the history of mathematics.
Author: George Gheverghese Joseph
Publisher:
ISBN: 9789352809301
Category : Astronomy, Medieval
Languages : en
Pages : 233
Get Book Here
Book Description
This work traces the first faltering steps taken in the mathematical theorization of infinity which marks the emergence of modern mathematics. It analyses the part played by Indian mathematics through the Kerala conduit, which is an important but neglected part of the history of mathematics.
Author: David Deutsch
Publisher: Penguin UK
ISBN: 0141969695
Category : Science
Languages : en
Pages : 571
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Book Description
'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
Author: John C. Wright
Publisher: Tor Books
ISBN: 1466882816
Category : Fiction
Languages : en
Pages : 335
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Book Description
Count to Infinity is John C. Wright's spectacular conclusion to the thought-provoking hard science fiction Eschaton Sequence, exploring future history and human evolution. An epic space opera finale worthy of the scope and wonder of The Eschaton Sequence: Menelaus Montrose is locked in a final battle of wits, bullets, and posthuman intelligence with Ximen del Azarchel for the fate of humanity in the far future. The alien monstrosities of Ain at long last are revealed, their hidden past laid bare, along with the reason for their brutal treatment of Man and all the species seeded throughout the galaxy. And they have still one more secret that could upend everything Montrose has fought for and lived so long to achieve. The Eschaton Sequence #1 Count to a Trillion #2 The Hermetic Millennia #3 The Judge of Ages #4 The Architect of Aeons #5 The Vindication of Man At the Publisher's request, this title is being sold without Digital Rights Management Software (DRM) applied.
Author: Paolo Mancosu
Publisher: Oxford University Press
ISBN: 0198746822
Category : Mathematics
Languages : en
Pages : 231
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Book Description
Mancosu offers an original investigation of key notions in mathematics: abstraction and infinity, and their interaction. He gives a historical analysis of the theorizing of definitions by abstraction, and explores a novel approach to measuring the size of infinite sets, showing how this leads to deep mathematical and philosophical problems.
Author: Rudy Rucker
Publisher: Bantam Books
ISBN: 5885010897
Category : Philosophy
Languages : en
Pages : 379
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Book Description
The book contains popular expositions (accessible to readers with no more than a high school mathematics background) on the mathematical theory of infinity, and a number of related topics. These include G?del's incompleteness theorems and their relationship to concepts of artificial intelligence and the human mind, as well as the conceivability of some unconventional cosmological models. The material is approached from a variety of viewpoints, some more conventionally mathematical and others being nearly mystical. There is a brief account of the author's personal contact with Kurt G?del.An appendix contains one of the few popular expositions on set theory research on what are known as "strong axioms of infinity."
Author: A.W. Moore
Publisher: Routledge
ISBN: 1351381253
Category : Philosophy
Languages : en
Pages : 332
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Book Description
We are all captivated and puzzled by the infinite, in its many varied guises; by the endlessness of space and time; by the thought that between any two points in space, however close, there is always another; by the fact that numbers go on forever; and by the idea of an all-knowing, all-powerful God. In this acclaimed introduction to the infinite, A. W. Moore takes us on a journey back to early Greek thought about the infinite, from its inception to Aristotle. He then examines medieval and early modern conceptions of the infinite, including a brief history of the calculus, before turning to Kant and post-Kantian ideas. He also gives an account of Cantor’s remarkable discovery that some infinities are bigger than others. In the second part of the book, Moore develops his own views, drawing on technical advances in the mathematics of the infinite, including the celebrated theorems of Skolem and Gödel, and deriving inspiration from Wittgenstein. He concludes this part with a discussion of death and human finitude. For this third edition Moore has added a new part, ‘Infinity superseded’, which contains two new chapters refining his own ideas through a re-examination of the ideas of Spinoza, Hegel, and Nietzsche. This new part is heavily influenced by the work of Deleuze. Also new for the third edition are: a technical appendix on still unresolved questions about different infinite sizes; an expanded glossary; and updated references and further reading. The Infinite, Third Edition is ideal reading for anyone interested in an engaging and historically informed account of this fascinating topic, whether from a philosophical point of view, a mathematical point of view, or a religious point of view.
Author: George Gheverghese Joseph
Publisher: Penguin Group
ISBN:
Category : Mathematics
Languages : en
Pages : 408
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Book Description
Author: Freeman J. Dyson
Publisher: Harper Collins
ISBN: 9780060728892
Category : Science
Languages : en
Pages : 356
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Book Description
Infinite in All Directions is a popularized science at its best. In Dyson's view, science and religion are two windows through which we can look out at the world around us. The book is a revised version of a series of the Gifford Lectures under the title "In Praise of Diversity" given at Aberdeen, Scotland. They allowed Dyson the license to express everything in the universe, which he divided into two parts in polished prose: focusing on the diversity of the natural world as the first, and the diversity of human reactions as the second half. Chapter 1 is a brief explanation of Dyson's attitudes toward religion and science. Chapter 2 is a one–hour tour of the universe that emphasizes the diversity of viewpoints from which the universe can be encountered as well as the diversity of objects which it contains. Chapter 3 is concerned with the history of science and describes two contrasting styles in science: one welcoming diversity and the other deploring it. He uses the cities of Manchester and Athens as symbols of these two ways of approaching science. Chapter 4, concerned with the origin of life, describes the ideas of six illustrious scientists who have struggled to understand the nature of life from various points of view. Chapter 5 continues the discussion of the nature and evolution of life. The question of why life characteristically tends toward extremes of diversity remains central in all attempts to understand life's place in the universe. Chapter 6 is an exercise in eschatology, trying to define possible futures for life and for the universe, from here to infinity. In this chapter, Dyson crosses the border between science and science fiction and he frames his speculations in a slightly theological context.
Author: Lois McMaster Bujold
Publisher: Spectrum Literary Agency, Inc.
ISBN:
Category : Fiction
Languages : en
Pages : 313
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Book Description
While Miles is recuperating from injuries, Imperial Security Chief Illyan arrives to question him about wild cost overruns in his covert ops missions for Barrayar. This forms the framework for the 3 novellas "The Mountains of Mourning", "Labyrinth", and "The Borders of Infinity". - NEW YORK TIMES BESTSELLING AUTHOR - “Bujold continues to prove what marvels genius can create out of basic space operatics.” - Library Journal “Bujold is not just a master of plot, she is a master of emotion.” - SF Site “Bujold is one of the best writers of SF adventure to come along in years.” - Locus Magazine “A superb craftsman and stylist, Ms. Bujold is well on her way to becoming one of the great voices of speculative fiction.” - Rave Reviews “Bujold has a gift, nearly unique in science fiction, for the comedy of manners.” - Chicago Sun Times “Superb far-future saga.” - Publishers Weekly on the 'Vorkosigan' series Bujold's "work remains among the most enjoyable and rewarding in contemporary SF." - Publishers Weekly
Author: Paolo Zellini
Publisher: Penguin Global
ISBN:
Category : Mathematics
Languages : en
Pages : 212
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Book Description
In A Brief History of Infinity, the infinite in all its forms - viewed from the perspective of mathematicians, philosophers, and theologians - is explored, as Zellini strives to explain this fundamental principle. What is the difference between trueand false infinity? How might we explain away the puzzle of Zeno's paradox? And how is the concept of infinity helping us as we wrestle with the fundamental uncertainties of the quantum world? Paolo Zellini shows that the concept of the infinite is a multifaceted one, and eloquently demonstrates the manner in which humanity has attempted to comprehend that concept for millenia.
