"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.

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.

This authoritative study explores the scientific and mathematical cultural milieu that patterns much of the Argentine writer Jorge Luis Borges's narrative design. Although criticism of Borges's fiction and essays has long emphasized philosophical traditions, Merrell expands the context of this interrogation of traditions by revealing how early twentieth-century and contemporary mathematics and physics also participated in a similar exploration. Topics treated include the semiotic flows of paradox and contradiction, the patterns of infinities, the limits of natural and mathematical languages, and the narrative function in scientific theory. Against this, background, Merrell provides incisive readings of Borges's complex fiction and essays.

The revolutions that Gregory Chaitin brought within the fields of science are well known. From his discovery of algorithmic information complexity to his work on Gödel's theorem, he has contributed deeply and expansively to such diverse fields. This book attempts to bring together a collection of articles written by his colleagues, collaborators and friends to celebrate his work in a festschrift. It encompasses various aspects of the scientific work that Chaitin has accomplished over the years. Topics range from philosophy to biology, from foundations of mathematics to physics, from logic to computer science, and all other areas Chaitin has worked on. It also includes sketches of his personality with the help of biographical accounts in some unconventional articles that will provide a rare glimpse into the personal life and nature of Chaitin. Compared to the other books that exist along a similar vein, this book stands out primarily due to its highly interdisciplinary nature and its scope that will attract readers into Chaitin's world

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

The largest collection of poetry ever assembled in English by “the most important Spanish-language writer since Cervantes” (Mario Vargas Llosa) A Penguin Classics Deluxe Edition with flaps and deckle-edged paper Though universally acclaimed for his dazzling fictions, Jorge Luis Borges always considered himself first and foremost a poet. This new bilingual selection brings together some two hundred poems, including scores of poems never previously translated. Edited by Alexander Coleman, it draws from a lifetime's work--from Borges's first published volume of verse, Fervor de Buenos Aires (1923), to his final work, Los conjurados, published just a year before his death in 1986. Throughout this unique collection the brilliance of the Spanish originals is matched by luminous English versions by a remarkable cast of translators, including Robert Fitzgerald, Stephen Kessler, W. S. Merwin, Alastair Reid, Mark Strand, Charles Tomlinson, and John Updike. For more than seventy-five years, Penguin has been the leading publisher of classic literature in the English-speaking world. With more than 2,000 titles, Penguin Classics represents a global bookshelf of the best works throughout history and across genres and disciplines. Readers trust the series to provide authoritative texts enhanced by introductions and notes by distinguished scholars and contemporary authors, as well as up-to-date translations by award-winning translators.

Based on the theme that topology is really the universal language of modern mathematics, Borges (mathematics, U. of California-Davis) introduces it to students who have a good grasp of fundamentals of logic, set theory, elementary analysis, and group theory. He gets rapidly to applications. His goal is to prepare students for further study in mathematics. He does not include bibliographic references. Annotation copyrighted by Book News, Inc., Portland, OR