The Enigma Of Completeness A Journey Through The Labyrinth Of Mathematical Logic
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The Enigma Of Completeness A Journey Through The Labyrinth Of Mathematical Logic
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Author : Pasquale De Marco
language : en
Publisher: Pasquale De Marco
Release Date :
The Enigma Of Completeness A Journey Through The Labyrinth Of Mathematical Logic written by Pasquale De Marco and has been published by Pasquale De Marco this book supported file pdf, txt, epub, kindle and other format this book has been release on with Philosophy categories.
In the realm of mathematics and logic, there exists an enigma that has captivated and challenged the greatest minds for generations: the enigma of completeness. This book embarks on a profound journey to unravel this enigma, venturing into the labyrinth of mathematical logic and exploring the revolutionary implications of Gödel's incompleteness theorems. Kurt Gödel, a visionary mathematician of the 20th century, shattered the long-held belief in the absolute completeness of formal systems with his groundbreaking incompleteness theorems. These theorems revealed that within any axiomatic system, there will always exist true statements that cannot be proven within that system. This startling discovery exposed the inherent limitations of formal logic and raised fundamental questions about the nature of truth, knowledge, and the limits of human reason. This book delves into the profound significance of Gödel's incompleteness theorems, examining their impact on various fields of intellectual inquiry, from philosophy and computer science to artificial intelligence and the nature of reality itself. It explores the quest for alternative foundations of mathematics, the implications for the foundations of computer science, and the potential of artificial intelligence in mathematical discovery. With clarity and rigor, this book unravels the intricate tapestry of mathematical logic, making it accessible to readers from all backgrounds. It illuminates the beauty and elegance of Gödel's theorems, while also exploring their profound implications for our understanding of the universe and our place within it. Join us on this intellectual odyssey as we navigate the labyrinth of completeness, unraveling the mysteries that lie at the heart of mathematical logic. Prepare to be challenged, intrigued, and enlightened as we explore the enigma of completeness, a testament to the boundless capacity of the human mind to grapple with the fundamental questions of existence. This book is an essential read for anyone interested in the foundations of mathematics, logic, philosophy, or the nature of reality. It is a profound exploration of one of the most important intellectual discoveries of the 20th century, and its implications for our understanding of the universe and our place within it. If you like this book, write a review!
Marcel Duchamp And The Architecture Of Desire
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Author : Dr Penelope Haralambidou
language : en
Publisher: Ashgate Publishing, Ltd.
Release Date : 2013-12-24
Marcel Duchamp And The Architecture Of Desire written by Dr Penelope Haralambidou and has been published by Ashgate Publishing, Ltd. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-12-24 with Architecture categories.
Marcel Duchamp and the Architecture of Desire examines the link between architectural thinking and Duchamp's work. By employing design, drawing and making - the tools of the architect - Haralambidou’s work performs an architectural analysis of Duchamp’s final enigmatic work Given: 1. The Waterfall, 2. The Illuminating Gas… demonstrating an innovative research methodology able to grasp meaning beyond textual analysis. This novel reading of his ideas and methods adds to, but also challenges, other art-historical interpretations. Through three main themes - allegory, visuality and desire - the book defines and theorises an alternative drawing practice positioned between art and architecture that predates and includes Duchamp.
The Mathematician S Brain
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Author : David Ruelle
language : en
Publisher: Princeton University Press
Release Date : 2007-08-05
The Mathematician S Brain written by David Ruelle and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-08-05 with Mathematics categories.
Examines mathematical ideas and the visionary minds behind them. This book provides an account of celebrated mathematicians and their quirks, oddities, personal tragedies, bad behavior, descents into madness, tragic ends, and the beauty of their mathematical discoveries.
My Search For Ramanujan
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Author : Ken Ono
language : en
Publisher: Springer
Release Date : 2016-04-20
My Search For Ramanujan written by Ken Ono and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-04-20 with Mathematics categories.
"The son of a prominent Japanese mathematician who came to the United States after World War II, Ken Ono was raised on a diet of high expectations and little praise. Rebelling against his pressure-cooker of a life, Ken determined to drop out of high school to follow his own path. To obtain his father’s approval, he invoked the biography of the famous Indian mathematical prodigy Srinivasa Ramanujan, whom his father revered, who had twice flunked out of college because of his single-minded devotion to mathematics. Ono describes his rocky path through college and graduate school, interweaving Ramanujan’s story with his own and telling how at key moments, he was inspired by Ramanujan and guided by mentors who encouraged him to pursue his interest in exploring Ramanujan’s mathematical legacy. Picking up where others left off, beginning with the great English mathematician G.H. Hardy, who brought Ramanujan to Cambridge in 1914, Ono has devoted his mathematical career to understanding how in his short life, Ramanujan was able to discover so many deep mathematical truths, which Ramanujan believed had been sent to him as visions from a Hindu goddess. And it was Ramanujan who was ultimately the source of reconciliation between Ono and his parents. Ono’s search for Ramanujan ranges over three continents and crosses paths with mathematicians whose lives span the globe and the entire twentieth century and beyond. Along the way, Ken made many fascinating discoveries. The most important and surprising one of all was his own humanity."
Pi In Nature Art And Culture
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Author : Marcel Danesi
language : en
Publisher: BRILL
Release Date : 2020-12-07
Pi In Nature Art And Culture written by Marcel Danesi and has been published by BRILL this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-12-07 with Mathematics categories.
In Pi (π) in Nature, Art, and Culture Marcel Danesi revisits the importance of π as a pattern in the structure of reality, fitting in with the Pythagorean view of Order. Pi has cropped up in formulas that describe natural and physical structures which, on the surface, seem to have nothing to do with a circle, but might harbor the archetype of circularity as a principle. Through π, this book thus revisits the implicit ancient Greek view that geometry was a 'hermeneutic science,' a discipline aiming to investigate the connectivity among numbers, shapes, and natural phenomena. It also examines its manifestations in aesthetic, symbolic and cultural structures, which point to an abiding fascination with the circle as an unconscious archetype. Hermeneutic geometry is ultimately about the exploration of the meanings of geometric-mathematical notions to science and human life.
The Equation That Couldn T Be Solved
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Author : Mario Livio
language : en
Publisher: Simon and Schuster
Release Date : 2005-09-19
The Equation That Couldn T Be Solved written by Mario Livio and has been published by Simon and Schuster this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-09-19 with Mathematics categories.
What do Bach's compositions, Rubik's Cube, the way we choose our mates, and the physics of subatomic particles have in common? All are governed by the laws of symmetry, which elegantly unify scientific and artistic principles. Yet the mathematical language of symmetry-known as group theory-did not emerge from the study of symmetry at all, but from an equation that couldn't be solved. For thousands of years mathematicians solved progressively more difficult algebraic equations, until they encountered the quintic equation, which resisted solution for three centuries. Working independently, two great prodigies ultimately proved that the quintic cannot be solved by a simple formula. These geniuses, a Norwegian named Niels Henrik Abel and a romantic Frenchman named Évariste Galois, both died tragically young. Their incredible labor, however, produced the origins of group theory. The first extensive, popular account of the mathematics of symmetry and order, The Equation That Couldn't Be Solved is told not through abstract formulas but in a beautifully written and dramatic account of the lives and work of some of the greatest and most intriguing mathematicians in history.
Reversing
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Author : Eldad Eilam
language : en
Publisher: John Wiley & Sons
Release Date : 2011-12-12
Reversing written by Eldad Eilam and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-12-12 with Computers categories.
Beginning with a basic primer on reverse engineering-including computer internals, operating systems, and assembly language-and then discussing the various applications of reverse engineering, this book provides readers with practical, in-depth techniques for software reverse engineering. The book is broken into two parts, the first deals with security-related reverse engineering and the second explores the more practical aspects of reverse engineering. In addition, the author explains how to reverse engineer a third-party software library to improve interfacing and how to reverse engineer a competitor's software to build a better product. * The first popular book to show how software reverse engineering can help defend against security threats, speed up development, and unlock the secrets of competitive products * Helps developers plug security holes by demonstrating how hackers exploit reverse engineering techniques to crack copy-protection schemes and identify software targets for viruses and other malware * Offers a primer on advanced reverse-engineering, delving into "disassembly"-code-level reverse engineering-and explaining how to decipher assembly language
The Spell Of The Sensuous
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Author : David Abram
language : en
Publisher: Vintage
Release Date : 2012-10-17
The Spell Of The Sensuous written by David Abram and has been published by Vintage this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-10-17 with Philosophy categories.
Winner of the International Lannan Literary Award for Nonfiction Animal tracks, word magic, the speech of stones, the power of letters, and the taste of the wind all figure prominently in this intellectual tour de force that returns us to our senses and to the sensuous terrain that sustains us. This major work of ecological philosophy startles the senses out of habitual ways of perception. For a thousand generations, human beings viewed themselves as part of the wider community of nature, and they carried on active relationships not only with other people with other animals, plants, and natural objects (including mountains, rivers, winds, and weather patters) that we have only lately come to think of as "inanimate." How, then, did humans come to sever their ancient reciprocity with the natural world? What will it take for us to recover a sustaining relation with the breathing earth? In The Spell of the Sensuous David Abram draws on sources as diverse as the philosophy of Merleau-Ponty, Balinese shamanism, Apache storytelling, and his own experience as an accomplished sleight-of-hand of magician to reveal the subtle dependence of human cognition on the natural environment. He explores the character of perception and excavates the sensual foundations of language, which--even at its most abstract--echoes the calls and cries of the earth. On every page of this lyrical work, Abram weaves his arguments with a passion, a precision, and an intellectual daring that recall such writers as Loren Eisleley, Annie Dillard, and Barry Lopez.
The Controversy On The Comets Of 1618
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Author :
language : en
Publisher: University of Pennsylvania Press
Release Date : 2016-11-11
The Controversy On The Comets Of 1618 written by and has been published by University of Pennsylvania Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-11-11 with Science categories.
The appearance of three comets in the autumn of 1618 touched off a controversy of such proportions that its effects are still inextricably associated with some of the most dramatic events marking the dawn of our modern era. This volume contains the principal works, in English translation, that were published during the extended controversy between Galileo and the Jesuits over the nature of comets, concluding with a commentary by Johann Kepler. The controversy of of both scientific and philosophical significance because it was in this connection that Galileo disclosed his conception of scientific method, which has been vastly influential on the course of modern thought. The principal work, Il Saggiatore (The Assayer), is also of extraordinary literary merit; it is considered the greatest polemic ever written in the domain of physical science.
The Warrior Prophet
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Author : R. Scott Bakker
language : en
Publisher: Abrams
Release Date : 2008-09-02
The Warrior Prophet written by R. Scott Bakker and has been published by Abrams this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-09-02 with Fiction categories.
As a vast Holy War begins, a powerful new force emerges in the second book of this “violent, passionate, darkly poetic” fantasy series (SFSite.com). The first battle against the heathen has been won, but while the Great Names squabble over the spoils, Kellhus draws more followers to his banner. The sorcerer Achamian and his lover, Esmenet, submit entirely—only to face an unimaginable test of faith. The warrior Cnaiur falls ever deeper into madness. The skin-spies of the Consult watch with growing trepidation. And across the searing wastes of the desert, a name—a title—begins to be whispered among the faithful. Who is the Warrior-Prophet? A dangerous heretic who turns brother against brother? Or the only man who can avert the Second Apocalypse? With the fate of the Holy War hanging in the balance, the great powers will have to choose between their most desperate desires and their most ingrained prejudice. Between hatred and hope. Between the Warrior-Prophet and the end of the world . . .