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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
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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: 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: 0765381605
Category : Fiction
Languages : en
Pages : 335
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Book Description
"A novel of the Eschaton sequence"--Cover.
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: Fabrice Pataut
Publisher: Springer
ISBN: 3319459805
Category : Philosophy
Languages : en
Pages : 332
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Book Description
This volume features essays about and by Paul Benacerraf, whose ideas have circulated in the philosophical community since the early nineteen sixties, shaping key areas in the philosophy of mathematics, the philosophy of language, the philosophy of logic, and epistemology. The book started as a workshop held in Paris at the Collège de France in May 2012 with the participation of Paul Benacerraf. The introduction addresses the methodological point of the legitimate use of so-called “Princess Margaret Premises” in drawing philosophical conclusions from Gödel’s first incompleteness theorem. The book is then divided into three sections. The first is devoted to an assessment of the improved version of the original dilemma of “Mathematical Truth” due to Hartry Field: the challenge to the platonist is now to explain the reliability of our mathematical beliefs given the very subject matter of mathematics, either pure or applied. The second addresses the issue of the ontological status of numbers: Frege’s logicism, fictionalism, structuralism, and Bourbaki’s theory of structures are called up for an appraisal of Benacerraf’s negative conclusions of “What Numbers Could Not Be.” The third is devoted to supertasks and bears witness to the unique standing of Benacerraf’s first publication: “Tasks, Super-Tasks, and Modern Eleatics” in debates on Zeno’s paradox and associated paradoxes, infinitary mathematics, and constructivism and finitism in the philosophy of mathematics. Two yet unpublished essays by Benacerraf have been included in the volume: an early version of “Mathematical Truth” from 1968 and an essay on “What Numbers Could Not Be” from the mid 1970’s. A complete chronological bibliography of Benacerraf’s work to 2016 is provided.Essays by Jody Azzouni, Paul Benacerraf, Justin Clarke-Doane, Sébastien Gandon, Brice Halimi, Jon Pérez Laraudogoitia, Mary Leng, Antonio León-Sánchez and Ana C. León-Mejía, Marco Panza, Fabrice Pataut, Philippe de Rouilhan, Andrea Sereni, and Stewart Shapiro.
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: George Gheverghese Joseph
Publisher: Penguin Group
ISBN:
Category : Mathematics
Languages : en
Pages : 408
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Book Description
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: E. M. Forster
Publisher: BoD - Books on Demand
ISBN: 232243549X
Category : Fiction
Languages : en
Pages : 449
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Book Description
When Adela Quested and her elderly companion Mrs Moore arrive in the Indian town of Chandrapore, they quickly feel trapped by its insular and prejudiced 'Anglo-Indian' community. Determined to escape the parochial English enclave and explore the 'real India', they seek the guidance of the charming and mercurial Dr Aziz, a cultivated Indian Muslim. But a mysterious incident occurs while they are exploring the Marabar caves with Aziz, and the well-respected doctor soon finds himself at the centre of a scandal that rouses violent passions among both the British and their Indian subjects. A masterful portrait of a society in the grip of imperialism, A Passage to India compellingly depicts the fate of individuals caught between the great political and cultural conflicts of the modern world. In his introduction, Pankaj Mishra outlines Forster's complex engagement with Indian society and culture. This edition reproduces the Abinger text and notes, and also includes four of Forster's essays on India, a chronology and further reading.
Author: N.Ya. Vilenkin
Publisher: Springer Science & Business Media
ISBN: 1461208378
Category : Mathematics
Languages : en
Pages : 151
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Book Description
The concept of infinity is one of the most important, and at the same time, one of the most mysterious concepts of science. Already in antiquity many philosophers and mathematicians pondered over its contradictory nature. In mathematics, the contradictions connected with infinity intensified after the creation, at the end of the 19th century, of the theory of infinite sets and the subsequent discovery, soon after, of paradoxes in this theory. At the time, many scientists ignored the paradoxes and used set theory extensively in their work, while others subjected set-theoretic methods in mathematics to harsh criticism. The debate intensified when a group of French mathematicians, who wrote under the pseudonym of Nicolas Bourbaki, tried to erect the whole edifice of mathematics on the single notion of a set. Some mathematicians greeted this attempt enthusiastically while others regarded it as an unnecessary formalization, an attempt to tear mathematics away from life-giving practical applications that sustain it. These differences notwithstanding, Bourbaki has had a significant influence on the evolution of mathematics in the twentieth century. In this book we try to tell the reader how the idea of the infinite arose and developed in physics and in mathematics, how the theory of infinite sets was constructed, what paradoxes it has led to, what significant efforts have been made to eliminate the resulting contradictions, and what routes scientists are trying to find that would provide a way out of the many difficulties.
