The Unimaginable Mathematics of Borges' Library of Babel

The Unimaginable Mathematics of Borges' Library of Babel PDF Author: William Goldbloom Bloch
Publisher: Oxford University Press
ISBN: 0195334574
Category : Literary Criticism
Languages : en
Pages : 213

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Book Description
Combinatorics -- Topology and cosmology -- Information theory -- Geometry and Graph Theory -- Real Analysis -- More Combinatorics -- A Homomorphism

The Unimaginable Mathematics of Borges' Library of Babel

The Unimaginable Mathematics of Borges' Library of Babel PDF Author: William Goldbloom Bloch
Publisher: Oxford University Press
ISBN: 0195334574
Category : Literary Criticism
Languages : en
Pages : 213

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Book Description
Combinatorics -- Topology and cosmology -- Information theory -- Geometry and Graph Theory -- Real Analysis -- More Combinatorics -- A Homomorphism

Tar for Mortar

Tar for Mortar PDF Author: Jonathan Basile
Publisher: punctum books
ISBN: 1947447505
Category : Literary Criticism
Languages : en
Pages : 110

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Book Description
TAR FOR MORTAR offers an in-depth exploration of one of literature's greatest tricksters, Jorge Luis Borges. His short story "The Library of Babel" is a signature examplar of this playfulness, though not merely for the inverted world it imagines, where a library thought to contain all possible permutations of all letters and words and books is plumbed by pious librarians looking for divinely pre-fabricated truths. One must grapple as well with the irony of Borges's narration, which undermines at every turn its narrator's claims of the library's universality, including the very possibility of exhausting meaning through combinatory processing. Borges directed readers to his non-fiction to discover the true author of the idea of the universal library. But his supposedly historical essays are notoriously riddled with false references and self-contradictions. Whether in truth or in fiction, Borges never reaches a stable conclusion about the atomic premises of the universal library - is it possible to find a character set capable of expressing all possible meaning, or do these letters, like his stories and essays, divide from themselves in a restless incompletion? While many readers of Borges see him as presaging our digital technologies, they often give too much credit to our inventions in doing so. Those who elide the necessary incompletion of the Library of Babel compare it to the Internet on the assumption that both are total archives of all possible thought and expression. Though Borges's imaginings lend themselves to digital creativity (libraryofbabel.info is certainly evidence of this), they do so by showing the necessary incompleteness of every totalizing project, no matter how technologically refined. Ultimately, Basile nudges readers toward the idea that a fictional/imaginary exposition can hold a certain power over technology.

Borges and Mathematics

Borges and Mathematics PDF Author: Guillermo Martínez
Publisher:
ISBN: 9781612492520
Category : Literary Criticism
Languages : en
Pages : 140

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Book Description
Borges and Mathematics is a short book of essays that explores the scientific thinking of the Argentine writer Jorge Luis Borges (1899-1986). Around half of the book consists of two "lectures" focused on mathematics. The rest of the book reflects on the relationship between literature, artistic creation, physics, and mathematics more generally. Written in a way that will be accessible even to those "who can only count to ten," the book presents a bravura demonstration of the intricate links between the worlds of sciences and arts, and it is a thought-provoking call to dialog for readers from both traditions. The author, Guillermo Mart nez, is both a recognized writer, whose murder mystery The Oxford Murders has been translated into thirty-five languages, and a PhD in mathematics. Contents: Borges and Mathematics: First Lecture; Borges and Mathematics: Second Lecture; The Golem and Artificial Intelligence; The Short Story as Logical System; A Margin Too Narrow; Euclid, or the Aesthetics of Mathematical Reasoning; Solutions and Disillusions; The Pythagorean Twins; The Music of Chance (Interview with Gregory Chaikin); Literature and Rationality; Who's Afraid of the Big Bad One?; A Small, Small God; God's Sinkhole. This book was originally published in Spanish as Borges y la matem tica (2003). It has been translated with generous support from the Latino Cultural Center at Purdue University.

The Unimaginable Mathematics of Borges' Library of Babel

The Unimaginable Mathematics of Borges' Library of Babel PDF Author: William Goldbloom Bloch
Publisher: Oxford University Press
ISBN: 0199715165
Category : Mathematics
Languages : en
Pages : 213

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Book Description
"The Library of Babel" is arguably Jorge Luis Borges' best known story--memorialized along with Borges on an Argentine postage stamp. Now, in The Unimaginable Mathematics of Borges' Library of Babel, William Goldbloom Bloch takes readers on a fascinating tour of the mathematical ideas hidden within one of the classic works of modern literature. Written in the vein of Douglas R. Hofstadter's Pulitzer Prize-winning Gödel, Escher, Bach, this original and imaginative book sheds light on one of Borges' most complex, richly layered works. Bloch begins each chapter with a mathematical idea--combinatorics, topology, geometry, information theory--followed by examples and illustrations that put flesh on the theoretical bones. In this way, he provides many fascinating insights into Borges' Library. He explains, for instance, a straightforward way to calculate how many books are in the Library--an easily notated but literally unimaginable number--and also shows that, if each book were the size of a grain of sand, the entire universe could only hold a fraction of the books in the Library. Indeed, if each book were the size of a proton, our universe would still not be big enough to hold anywhere near all the books. Given Borges' well-known affection for mathematics, this exploration of the story through the eyes of a humanistic mathematician makes a unique and important contribution to the body of Borgesian criticism. Bloch not only illuminates one of the great short stories of modern literature but also exposes the reader--including those more inclined to the literary world--to many intriguing and entrancing mathematical ideas.

The Unimaginable Mathematics of Borges' Library of Babel

The Unimaginable Mathematics of Borges' Library of Babel PDF Author: William Goldbloom Bloch
Publisher: Oxford University Press
ISBN: 0199887306
Category : Mathematics
Languages : en
Pages : 213

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Book Description
"The Library of Babel" is arguably Jorge Luis Borges' best known story--memorialized along with Borges on an Argentine postage stamp. Now, in The Unimaginable Mathematics of Borges' Library of Babel, William Goldbloom Bloch takes readers on a fascinating tour of the mathematical ideas hidden within one of the classic works of modern literature. Written in the vein of Douglas R. Hofstadter's Pulitzer Prize-winning Gödel, Escher, Bach, this original and imaginative book sheds light on one of Borges' most complex, richly layered works. Bloch begins each chapter with a mathematical idea--combinatorics, topology, geometry, information theory--followed by examples and illustrations that put flesh on the theoretical bones. In this way, he provides many fascinating insights into Borges' Library. He explains, for instance, a straightforward way to calculate how many books are in the Library--an easily notated but literally unimaginable number--and also shows that, if each book were the size of a grain of sand, the entire universe could only hold a fraction of the books in the Library. Indeed, if each book were the size of a proton, our universe would still not be big enough to hold anywhere near all the books. Given Borges' well-known affection for mathematics, this exploration of the story through the eyes of a humanistic mathematician makes a unique and important contribution to the body of Borgesian criticism. Bloch not only illuminates one of the great short stories of modern literature but also exposes the reader--including those more inclined to the literary world--to many intriguing and entrancing mathematical ideas.

The Book of Sand

The Book of Sand PDF Author: Jorge Luis Borges
Publisher:
ISBN: 9780140180251
Category : English fiction
Languages : en
Pages : 186

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Book Description
Includes the stories The Congress, Undr, The Mirror and the Mask, August 25, 1983, Blue Tigers, The Rose of Paracelsus and Shakespeare's Memory.

Beautiful, Simple, Exact, Crazy

Beautiful, Simple, Exact, Crazy PDF Author: Apoorva Khare
Publisher: Yale University Press
ISBN: 0300190891
Category : Mathematics
Languages : en
Pages : 480

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Book Description
In this vibrant work, which is ideal for both teaching and learning, Apoorva Khare and Anna Lachowska explain the mathematics essential for understanding and appreciating our quantitative world. They show with examples that mathematics is a key tool in the creation and appreciation of art, music, and literature, not just science and technology. The book covers basic mathematical topics from logarithms to statistics, but the authors eschew mundane finance and probability problems. Instead, they explain how modular arithmetic helps keep our online transactions safe, how logarithms justify the twelve-tone scale commonly used in music, and how transmissions by deep space probes are similar to knights serving as messengers for their traveling prince. Ideal for coursework in introductory mathematics and requiring no knowledge of calculus, Khare and Lachowska's enlightening mathematics tour will appeal to a wide audience.

A Short Stay in Hell

A Short Stay in Hell PDF Author: Steven L. Peck
Publisher:
ISBN: 9780983748441
Category : Fiction
Languages : en
Pages : 104

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Book Description
A damned man struggles to find meaning in a library, the dimensions of which are measured in light years.

The Googlization of Everything

The Googlization of Everything PDF Author: Siva Vaidhyanathan
Publisher: Univ of California Press
ISBN: 0520952456
Category : Social Science
Languages : en
Pages : 281

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Book Description
In the beginning, the World Wide Web was exciting and open to the point of anarchy, a vast and intimidating repository of unindexed confusion. Into this creative chaos came Google with its dazzling mission—"To organize the world’s information and make it universally accessible"—and its much-quoted motto, "Don’t be evil." In this provocative book, Siva Vaidhyanathan examines the ways we have used and embraced Google—and the growing resistance to its expansion across the globe. He exposes the dark side of our Google fantasies, raising red flags about issues of intellectual property and the much-touted Google Book Search. He assesses Google’s global impact, particularly in China, and explains the insidious effect of Googlization on the way we think. Finally, Vaidhyanathan proposes the construction of an Internet ecosystem designed to benefit the whole world and keep one brilliant and powerful company from falling into the "evil" it pledged to avoid.

Rhythms of the Brain

Rhythms of the Brain PDF Author: G. Buzsáki
Publisher: Oxford University Press
ISBN: 0199828237
Category : Medical
Languages : en
Pages : 465

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Book Description
Studies of mechanisms in the brain that allow complicated things to happen in a coordinated fashion have produced some of the most spectacular discoveries in neuroscience. This book provides eloquent support for the idea that spontaneous neuron activity, far from being mere noise, is actually the source of our cognitive abilities. It takes a fresh look at the coevolution of structure and function in the mammalian brain, illustrating how self-emerged oscillatory timing is the brain's fundamental organizer of neuronal information. The small-world-like connectivity of the cerebral cortex allows for global computation on multiple spatial and temporal scales. The perpetual interactions among the multiple network oscillators keep cortical systems in a highly sensitive "metastable" state and provide energy-efficient synchronizing mechanisms via weak links. In a sequence of "cycles," György Buzsáki guides the reader from the physics of oscillations through neuronal assembly organization to complex cognitive processing and memory storage. His clear, fluid writing-accessible to any reader with some scientific knowledge-is supplemented by extensive footnotes and references that make it just as gratifying and instructive a read for the specialist. The coherent view of a single author who has been at the forefront of research in this exciting field, this volume is essential reading for anyone interested in our rapidly evolving understanding of the brain.