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Author : Karsten Harries
Publisher : MIT Press
Page : 400 pages
File Size : 15,43 MB
Release : 2001
Category : Architecture
ISBN : 9780262582186
A philosophical exploration of the origin and limits of the modern world.
Author : Amr Shedou
Publisher :
Page : 50 pages
File Size : 32,82 MB
Release : 2021-02-26
Category :
ISBN :
Explore a new perspective of infinity. whether you are familiar with current theories about infinity or not, this book will discuss with you my personal view and perspective of infinity and the theories that I have considered.
Author : Graham Oppy
Publisher : Cambridge University Press
Page : 285 pages
File Size : 24,15 MB
Release : 2006-04-03
Category : Philosophy
ISBN : 1139455117
This book is an exploration of philosophical questions about infinity. Graham Oppy examines how the infinite lurks everywhere, both in science and in our ordinary thoughts about the world. He also analyses the many puzzles and paradoxes that follow in the train of the infinite. Even simple notions, such as counting, adding and maximising present serious difficulties. Other topics examined include the nature of space and time, infinities in physical science, infinities in theories of probability and decision, the nature of part/whole relations, mathematical theories of the infinite, and infinite regression and principles of sufficient reason.
Author : Judith Veronica Field
Publisher : Oxford University Press, USA
Page : 264 pages
File Size : 10,70 MB
Release : 1997
Category : Art
ISBN : 0198523947
Fully illustrated, this story brings together the histories of arts and mathematics and shows how infinity at last acquired a precise mathematical meaning.
Author : Rudy Rucker
Publisher : Princeton University Press
Page : pages
File Size : 37,27 MB
Release : 2019-07-23
Category : Mathematics
ISBN : 0691191255
A dynamic exploration of infinity In Infinity and the Mind, Rudy Rucker leads an excursion to that stretch of the universe he calls the “Mindscape,” where he explores infinity in all its forms: potential and actual, mathematical and physical, theological and mundane. Using cartoons, puzzles, and quotations to enliven his text, Rucker acquaints us with staggeringly advanced levels of infinity, delves into the depths beneath daily awareness, and explains Kurt Gödel’s belief in the possibility of robot consciousness. In the realm of infinity, mathematics, science, and logic merge with the fantastic. By closely examining the paradoxes that arise, we gain profound insights into the human mind, its powers, and its limitations. This Princeton Science Library edition includes a new preface by the author.
Author : David Deutsch
Publisher : Penguin UK
Page : 571 pages
File Size : 36,25 MB
Release : 2011-03-31
Category : Science
ISBN : 0141969695
'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 : Paolo Mancosu
Publisher : Oxford University Press
Page : 231 pages
File Size : 37,22 MB
Release : 2016
Category : Mathematics
ISBN : 0198746822
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 : Loren Graham
Publisher : Harvard University Press
Page : 252 pages
File Size : 24,66 MB
Release : 2009-03-31
Category : History
ISBN : 0674032934
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 : Michael Heller
Publisher : Cambridge University Press
Page : 0 pages
File Size : 37,4 MB
Release : 2014-01-02
Category : Mathematics
ISBN : 9781107685482
"The infinite! No other question has ever moved so profoundly the spirit of man; no other idea has so fruitfully stimulated his intellect; yet no other concept stands in greater need of clarification than that of the infinite." - David Hilbert This interdisciplinary study of infinity explores the concept through the prism of mathematics and then offers more expansive investigations in areas beyond mathematical boundaries to reflect the broader, deeper implications of infinity for human intellectual thought. More than a dozen world‐renowned researchers in the fields of mathematics, physics, cosmology, philosophy, and theology offer a rich intellectual exchange among various current viewpoints, rather than displaying a static picture of accepted views on infinity. The book starts with a historical examination of the transformation of infinity from a philosophical and theological study to one dominated by mathematics. It then offers technical discussions on the understanding of mathematical infinity. Following this, the book considers the perspectives of physics and cosmology: Can infinity be found in the real universe? Finally, the book returns to questions of philosophical and theological aspects of infinity.
Author : Thomas P. Ehrenzeller
Publisher :
Page : 416 pages
File Size : 12,73 MB
Release : 2001-12
Category : Philosophy
ISBN : 9781561677078
Infinity presents a unique philosophical theory of thought and existence. Ehrenzeller believes humankind has subscribed to a limited and finite mode of thought. His is a philosophy of infinite thought and existence with radical ramifications in every field, including economics, politics, education, religion, science, and global and universal relations. The author delivers a studied, rational, and well-organized presentation of his philosophy of infinity and infinite thinking. His ideas are radical, yet he presents them clearly and candidly in an accessible style that will not overwhelm the general reader or bore scholars. His projections of the effects infinite thinking would have in so many areas of human existence are presented with contagious enthusiasm that, if it does not convert, engages the reader in a spirited intellectual dialogue. This is a philosophical argument in its greatest form -- engaging, clear, thoughtful, and passionate. Book jacket.