John L. Casti

A renowned mathematician shows how the "science of surprise" can help explain some of the most inexplicable phenomena in science, nature, the arts, the economy, and more.

Complexification

In addressing the questions of life on other worlds, intelligent computers, sources of human behavior, and many others. Casti prosecutes and defends traditional scientific belief and unorthdox views, wrapping up each discussion with his conclusions and explanations. Sophisticated and compelling, yet entertaining, this is a must-read for popular-science aficionados.

Paradigms Lost

Knots, Codes, Chaos, and Other Great Theories of 20th-Century Mathematics

Five More Golden Rules

Great Theories of 20th-Century Mathematics -and Why They Matter

Five Golden Rules

O colapso de tudo

Gödel-Mantiga Adanmis Bir Yasam

Werner DePauli

Kurt Gödel was an intellectual giant. His Incompleteness Theorem turned not only mathematics but also the whole world of science and philosophy on its head. Shattering hopes that logic would, in the end, allow us a complete understanding of the universe, Gödel's theorem also raised many provocative questions: What are the limits of rational thought? Can we ever fully understand the machines we build? Or the inner workings of our own minds? How should mathematicians proceed in the absence of complete certainty about their results? Equally legendary were Gödel's eccentricities, his close friendship with Albert Einstein, and his paranoid fear of germs that eventually led to his death from self-starvation. Now, in the first book for a general audience on this strange and brilliant thinker, John Casti and Werner DePauli bring the legend to life.

A Life Of Logic, The Mind, And Mathematics

Godel

Anders Karlqvist

In May 1984 the Swedish Council for Scientific Research convened a small group of investigators at the scientific research station at Abisko, Sweden, for the purpose of examining various conceptual and mathematical views of the evolution of complex systems. The stated theme of the meeting was deliberately kept vague, with only the purpose of discussing alternative mathematically based approaches to the modeling of evolving processes being given as a guideline to the participants. In order to limit the scope to some degree, it was decided to emphasize living rather than nonliving processes and to invite participants from a range of disciplinary specialities spanning the spectrum from pure and applied mathematics to geography and analytic philosophy. The results of the meeting were quite extraordinary; while there was no intent to focus the papers and discussion into predefined channels, an immediate self-organizing effect took place and the deliberations quickly oriented themselves into three main streams: conceptual and formal structures for characterizing sys tem complexity; evolutionary processes in biology and ecology; the emergence of complexity through evolution in natural lan guages. The chapters presented in this volume are not the proceed ings of the meeting. Following the meeting, the organizers felt that the ideas and spirit of the gathering should be preserved in some written form, so the participants were each requested to produce a chapter, explicating the views they presented at Abisko, written specifically for this volume. The results of this exercise form the volume you hold in your hand.

Complexity, Language, and Life: Mathematical Approaches

A Work of Scientific Speculation

Cambridge Quintet

"Mood Matters" makes the radical assertion that all social events ranging from fashions in music and art to the rise and fall of civilizations are biased by the attitudes a society holds toward the future. When the "social mood" is positive and people look forward to the future, events of an entirely different character tend to occur than when society is pessimistic. The book presents many examples from every walk of life in support of this argument. In addition, methods are given to actually measure the social mood and to project it into the future in order to forecast what’s likely or not over varying periods of time. Casti's writing is a pleasure to read and its contents an eye-opener. "They [the chapters] tell an engrossing story, and the mystery heightens as it goes. . . . it's chatty and knowing." Greg Benford, Physicist and science-fiction writer, author of "Timescape" and "Deep Time" "I am struck by how thought-provoking it all is. I am sure that your book will draw a lot of attention" Tor Norretranders, Science writer, author of "The Generous Man" and "The User Illusion".

From Rising Skirt Lengths to the Collapse of World Powers

Mood Matters

“I am an assiduous reader of John Casti’s books. He is a real scientific intellectual.” —Nassim Nicholas Taleb, New York Times bestselling author of Fooled by Randomness “Casti is at his best in presenting difficult philosophical ideas enthusiastically and lucidly, and in presenting everyday examples to illustrate them.” —New York Times Book Review In his highly provocative and grippingly readable book, X-Events, author John Casti brilliantly argues that today’s advanced, overly complex societies have grown highly vulnerable to extreme events that will ultimately topple civilization like a house of cards. Like Nassim Taleb’s The Black Swan meets Jared Diamond’s Collapse, Casti’s book provides a much-needed wake-up call—sounding a fascinating and frightening warning about civilized society’s inability to recover from a global catastrophe— demonstrating how humankind could be blasted back into the Stone Age by a meteor strike, nuclear apocalypse, worldwide contagion, or any number of unforeseeable X-Events.

The Collapse of Everything

X-Events

By the author of The Cambridge Quintet, John L. Castiâ€™s new book continues the tradition of combining science fact with just the right dose of fiction. Part novel, part science â€" wholly informative and entertaining. In the fall of 1933 the newly founded Institute for Advanced Study in Princeton, New Jersey, welcomed its first faculty member, Albert Einstein. With this superstar on the roster, the Institute was able to attract many more of the greatest scholars, scientists, and poets from around the world. It was to be an intellectual haven, a place where the most brilliant minds on the planet, sheltered from the outside worldâ€™s cares and calamities, could study and collaborate and devote their time to the pure and exclusive pursuit of knowledge. For many of them, it was the â€œone, true, platonic heaven.â€ Over the years, key figures at the Institute began to question the limits to what science could tell us about the world, pondering the universal secrets it might unlock. Could science be the ultimate source of truth; or are there intrinsic limits, built into the very fabric of the universe, to what we can learn? In the late 1940â€™s and early 1950â€™s, this important question was being asked and pondered upon by some of the Instituteâ€™s deepest thinkers. Enter the dramatis personae to illuminate the science and the philosophy of the time. Mathematical logician Kurt Godel was the unacknowledged Grant Exalted Ruler of this platonic estate â€" but he was a ruler without a scepter as he awaited the inexplicably indefinite postponement of his promotion to full, tenured professor. Also in residence was his colleague, the Hungarian-American polymath, John van Neumann, developer of game theory, the axiomatic foundations of quantum mechanics, and the digital computer â€" stymied by the Instituteâ€™s refusal to sanction his bold proposal to actually build a computer. One of Godelâ€™s closest friends figures large in this story: Albert Einstein, by common consensus the greatest physicist the 20th century had ever known. And, of course, the director the Institute, J. Robert Oppenheimer, the father of the atomic bomb, must by necessity be key to any story that focuses in on this time and place. Author Casti elegantly sets the stage and then masterfully directs this impressive cast of charactersâ€"with able assists by many â€œminor-characterâ€ icons like T. S. Eliot, Wolfgang Pauli, Freeman Dyson, and David Bohm, to tell a story of science, history, and ideas. As we watch events unfold (some of which are documented fact while others are creatively imagined fiction), we are witness to the discussions and deliberations of this august groupâ€¦ privy to wide-ranging conversations on thinking machines, quantum logic, biology as physics, weather forecasting, the structure of economic systems, the distinction between mathematics and natural science, the structure of the universe, and the powers of the human mind â€" all centered around the question of the limits to scientific knowledge. Imaginatively conceived and artfully executed, The One True Platonic Heaven is an accessible and intriguing presentation of some of the deepest scientific and philosophical ideas of the 20th century.

A Scientific Fiction on the Limits of Knowledge

The One True Platonic Heaven

In this narrative tour de force, gifted scientist and author John L. Casti contemplates an imaginary evening of intellectual inquiry—a sort of “My Dinner with” not Andre, but five of the most brilliant thinkers of the twentieth century.Imagine, if you will, one stormy summer evening in 1949, as novelist and scientist C. P. Snow, Britain's distinguished wartime science advisor and author of The Two Cultures, invites four singular guests to a sumptuous seven-course dinner at his alma mater, Christ's College, Cambridge, to discuss one of the emerging scientific issues of the day: Can we build a machine that could duplicate human cognitive processes? The distinguished guest list for Snow's dinner consists of physicist Erwin Schrodinger, inventor of wave mechanics; Ludwig Wittgenstein, the famous twentieth-century philosopher of language, who posited two completely contradictory theories of human thought in his lifetime; population geneticist/science popularizer J.B.S. Haldane; and Alan Turing, the mathematician/codebreaker who formulated the computing scheme that foreshadowed the logical structure of all modern computers. Capturing not only their unique personalities but also their particular stands on this fascinating issue, Casti dramatically shows what each of these great men might have argued about artificial intelligence, had they actually gathered for dinner that midsummer evening.With Snow acting as referee, a lively intellectual debate unfolds. Philosopher Wittgenstein argues that in order to become conscious, a machine would have to have life experiences similar to those of human beings—such as pain, joy, grief, or pleasure. Biologist Haldane offers the idea that mind is a separate entity from matter, so that regardless of how sophisticated the machine, only flesh can bond with that mysterious force called intelligence. Both physicist Schrodinger and, of course, computer pioneer Turing maintain that it is not the substance, but rather the organization of that substance, that makes a mind conscious.With great verve and skill, Casti recreates a unique and thrilling moment of time in the grand history of scientific ideas. Even readers who have already formed an opinion on artificial intelligence will be forced to reopen their minds on the subject upon reading this absorbing narrative. After almost four decades, the solutions to the epic scientific and philosophical problems posed over this meal in C. P. Snow's old rooms at Christ's College remains tantalizingly just out of reach, making this adventure into scientific speculation as valid today as it was in 1949.

John L. Casti

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