Role of the unconscious in invention; the medium of ideas — do they come to mind in words? in pictures? in mathematical terms? Much more. "It is essential for the mathematician, and the layman will find it good reading." — Library Journal.

    Since Wallerstein first developed world-systems analysis, it has become a widely utilized methodology within the historical social sciences and a common point of reference in discussions of globalization. Now, for the first time in one volume, Wallerstein offers a succinct summary of world-systems analysis and a clear outline of the modern world-system, describing the structures of knowledge upon which it is based, its mechanisms, and its future.Wallerstein explains the defining characteristics of world-systems analysis: its emphasis on world-systems rather than nation-states, on the need to consider historical processes as they unfold over long periods of time, and on combining within a single analytical framework bodies of knowledge usually viewed as distinct from one another—such as history, political science, economics, and sociology. He describes the world-system as a social reality comprised of interconnected nations, firms, households, classes, and identity groups of all kinds. He identifies and highlights the significance of the key moments in the evolution of the modern world-system: the development of a capitalist world-economy in the sixteenth-century, the beginning of two centuries of liberal centrism in the French Revolution of 1789, and the undermining of that centrism in the global revolts of 1968. Intended for general readers, students, and experienced practitioners alike, this book presents a complete overview of world-systems analysis by its original architect.

    In fact, they said so quite clearly in the Constitution of the United States of America. Unfortunately, that beautiful, ingenious, and revolutionary document is being ignored more and more in Washington. If we are to enjoy peace, freedom, and prosperity once again, we absolutely must return to the principles upon which America was founded. But finally, there is hope . . . In THE REVOLUTION, Texas congressman and presidential candidate Ron Paul has exposed the core truths behind everything threatening America, from the real reasons behind the collapse of the dollar and the looming financial crisis, to terrorism and the loss of our precious civil liberties. In this book, Ron Paul provides answers to questions that few even dare to ask.Despite a media blackout, this septuagenarian physician-turned-congressman sparked a movement that has attracted a legion of young, dedicated, enthusiastic supporters . . . a phenomenon that has amazed veteran political observers and made more than one political rival envious. Candidates across America are already running as "Ron Paul Republicans.""Dr. Paul cured my apathy," says a popular campaign sign. THE REVOLUTION may cure yours as well.

    A child prodigy, Pascal made essential additions to Descartes's work at age sixteen. By age nineteen, he had invented the world's first mechanical calculator. But despite his immense contributions to modern science and mathematical thinking, it is Pascal's wager with God that set him apart from his peers as a man fully engaged with both religious and scientific pursuits.One night in 1654, Pascal had a visit from God, a mystical experience that changed his life. Struggling to explain God's existence to others, Pascal dared to apply his mathematical work to religious faith, playing dice with divinity: he argued for the existence of God, basing his position not on rigorous logical principles as did Aquinas or Anselm of Canterbury, but on outcomes—his famous wager. By applying to the existence of God the same rules that governed the existence and position of the universe itself, Pascal sounded the death knell for medieval "certainties" and paved the way for modern thinking.

    By 1949, Godel had produced a remarkable proof: In any universe described by the Theory of Relativity, time cannot exist. Einstein endorsed this result reluctantly but he could find no way to refute it, since then, neither has anyone else. Yet cosmologists and philosophers alike have proceeded as if this discovery was never made. In A World Without Time, Palle Yourgrau sets out to restore Godel to his rightful place in history, telling the story of two magnificent minds put on the shelf by the scientific fashions of their day, and attempts to rescue the brilliant work they did together.

    He renounced violence when he left the June 2nd Movement in 1972.Security police seized the original German edition, Wie Alles Anfing, when it appeared in 1975. The resulting trial and publicity raised an international outcry and the book ended up being republished in German and translated into six languages.In an age when public protests—against corporate greed, against free trade agreements, and for social justice—are becoming more frequent and more violent, How It All Began provides a fascinating glimpse into the thinking behind urban struggle, and the consequences of action.As Baumann himself said, "Violence is a perfectly adequate means, I never had any hangups about it."The first English version of How It All Began was published by Arsenal in 1977 and updated in 1981. Long out of print, it has been re-issued, making it available to readers once again.Bommi Baumann was a leading member of the June 2nd Movement, one of the most active urban guerrilla groups in West Berlin. From a low-income, unstable family background, Baumann left the movement and the urban guerrilla struggle in 1972 and went underground to write this book. He was arrested in London in 1981 and there has been no word from him since.

    Never before in history have we been able to acquire, record, communicate, and use information in so many different forms. Never before have we had access to such vast quantities of data of every kind. This revolution goes far beyond the limitless content that fills our lives, because information also underlies our understanding of ourselves, the natural world, and the universe. It is the key that unites fields as different as linguistics, cryptography, neuroscience, genetics, economics, and quantum mechanics. And the fact that information bears no necessary connection to meaning makes it a profound puzzle that people with a passion for philosophy have pondered for centuries.Table of ContentsLECTURE 1The Transformability of Information 4LECTURE 2Computation and Logic Gates 17LECTURE 3Measuring Information 26LECTURE 4Entropy and the Average Surprise 34LECTURE 5Data Compression and Prefix-Free Codes 44LECTURE 6Encoding Images and Sounds 57LECTURE 7Noise and Channel Capacity 69LECTURE 8Error-Correcting Codes 82LECTURE 9Signals and Bandwidth 94LECTURE 10Cryptography and Key Entropy 110LECTURE 11Cryptanalysis and Unraveling the Enigma 119LECTURE 12Unbreakable Codes and Public Keys 130LECTURE 13What Genetic Information Can Do 140LECTURE 14Life’s Origins and DNA Computing 152LECTURE 15Neural Codes in the Brain 169LECTURE 16Entropy and Microstate Information 185LECTURE 17Erasure Cost and Reversible Computing 198LECTURE 18Horse Races and Stock Markets 213LECTURE 19Turing Machines and Algorithmic Information 226LECTURE 20Uncomputable Functions and Incompleteness 239LECTURE 21Qubits and Quantum Information 253LECTURE 22Quantum Cryptography via Entanglement 266LECTURE 23It from Bit: Physics from Information 281LECTURE 24The Meaning of Information 293

    By presenting actual experiences and analyzing them as they are described, the author conveys the developmental thought processes employed and shows a style of thinking that leads to successful results is something that can be learned. Along with spectacular successes, the author also conveys how failures contributed to shaping the thought processes. Provides the reader with a style of thinking that will enhance a person's ability to function as a problem-solver of complex technical issues. Consists of a collection of stories about the author's participation in significant discoveries, relating how those discoveries came about and, most importantly, provides analysis about the thought processes and reasoning that took place as the author and his associates progressed through engineering problems.

    Why do living things and physical phenomena take the forms they do? Analyzing the mathematical and physical aspects of biological processes, this historic work, first published in 1917, has become renowned as well for the poetry of is descriptions.

    Now, in The Unimaginable Mathematics of Borges' Library of Babel, William Goldbloom Bloch takes readers on a fascinating tour of the mathematical ideas hiddenwithin one of the classic works of modern literature.Written in the vein of Douglas R. Hofstadter's Pulitzer Prize-winning G�del, 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, informationtheory--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 literallyunimaginable 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 alsoexposes the reader--including those more inclined to the literary world--to many intriguing and entrancing mathematical ideas.

    These topics lie at the heart of many exciting areas of contemporary science and engineering - communication, signal processing, data mining, machine learning, pattern recognition, computational neuroscience, bioinformatics, and cryptography. This textbook introduces theory in tandem with applications. Information theory is taught alongside practical communication systems, such as arithmetic coding for data compression and sparse-graph codes for error-correction. A toolbox of inference techniques, including message-passing algorithms, Monte Carlo methods, and variational approximations, are developed alongside applications of these tools to clustering, convolutional codes, independent component analysis, and neural networks. The final part of the book describes the state of the art in error-correcting codes, including low-density parity-check codes, turbo codes, and digital fountain codes -- the twenty-first century standards for satellite communications, disk drives, and data broadcast. Richly illustrated, filled with worked examples and over 400 exercises, some with detailed solutions, David MacKay's groundbreaking book is ideal for self-learning and for undergraduate or graduate courses. Interludes on crosswords, evolution, and sex provide entertainment along the way. In sum, this is a textbook on information, communication, and coding for a new generation of students, and an unparalleled entry point into these subjects for professionals in areas as diverse as computational biology, financial engineering, and machine learning.

    Exploring key anarchist ideas of society and the state, freedom and equality, authority and power, the record investigates the successes and failures of anarchist movements throughout the world. Presenting a balanced and critical survey, the detailed document covers not only classic anarchist thinkers--such as Godwin, Proudhon, Bakunin, Kropotkin, Reclus, and Emma Goldman--but also other libertarian figures, such as Nietzsche, Camus, Gandhi, Foucault, and Chomsky. Essential reading for anyone wishing to understand what anarchists stand for and what they have achieved, this fascinating account also includes an epilogue that examines the most recent developments, including postanarchism and anarcho-primitivism as well as the anarchist contributions to the peace, green, and global justice movements of the 21st century.

    His apothegm "Cogito, ergo sum" marked the birth of the mind-body problem, while his creation of so-called Cartesian coordinates have made our physical and intellectual conquest of physical space possible.But Descartes had a mysterious and mystical side, as well. Almost certainly a member of the occult brotherhood of the Rosicrucians, he kept a secret notebook, now lost, most of which was written in code. After Descartes's death, Gottfried Leibniz, inventor of calculus and one of the greatest mathematicians in history, moved to Paris in search of this notebook--and eventually found it in the possession of Claude Clerselier, a friend of Descartes. Leibniz called on Clerselier and was allowed to copy only a couple of pages--which, though written in code, he amazingly deciphered there on the spot. Leibniz's hastily scribbled notes are all we have today of Descartes's notebook, which has disappeared.Why did Descartes keep a secret notebook, and what were its contents? The answers to these questions lead Amir Aczel and the reader on an exciting, swashbuckling journey, and offer a fascinating look at one of the great figures of Western culture.

    Its authors present a new view of cognition that has important social and ethical implications, for, they assert, the only world we humans can have is the one we create together through the actions of our coexistence. Written for a general audience as well as for students, scholars, and scientists and abundantly illustrated with examples from biology, linguistics, and new social and cultural phenomena, this revised edition includes a new afterword by Dr. Varela, in which he discusses the effect the book has had in the years since its first publication.

    In The Intellectual Devotional: Modern Culture, authors David S. Kidder and Noah D. Oppenheim explore the fascinating world of contemporary culture to offer 365 daily readings that provide the essential references needed to navigate the world today.Quench your intellectual thirst with an overview of the literature, music, film, personalities, trends, sports, and pop references that have defined the way we live. From the Slinky to Star Wars; Beatlemania to Babe Ruth; flappers to fascism—refreshing your memory and dazzling your friends has never been easier, or more fun. Whether you're a trivia genius, pop-culture buff, or avid reader, you'll be riveted by this comprehensive journey through contemporary culture.