How Singular? How singular is the Singularity? Will it happen in an instant? Lets consider again the derivation of the word. In mathematics a singularity is a value that is beyond any limit - in essence, infinity. The Singularity as we have discussed it in this book, does not achieve infinite levels of computation, memory, as any other other measurable attribute. But it certainly achieves vast levels of all these qualities, including intelligence. With the reverse engineering of the human brain we will be able to apply the parallel, self-organizing, chaotic, algorithms of human intelligence to enormously powerful computational substrates. This intelligence will then be in a position to improve its own design, both hardware and software, in a rapidly accelerating iterative process.

How We Will Live, Work, and Think in the New Age of Intelligent Machines; 1999...Computers able to perform a trillion calculations per second...Most routine business transactions take place between a human and virtual personality...Translating telephones are commonly used for most language pairs...Bioengineered treatments for cancer and heart disease greatly reduce the mortality from these diseases...Human musicians jam with cybernetic musicians. 2019...Computers equal the memory capacity and computational ability of the human brain...Interaction with computers is through gestures and two-way spoken communication...Most learning conducted through software-based teachers instead of paper books and documents...Automated driving systems installed in most roads...People have relationships with automated personalities. 2029...Computers have the computing capacity of 1 000 human brains...Majority of communication does not involve a human...There is no human employment in production, agriculture or transportation...Computers have read all available human- and machine-generated literature and are now learning on their own...Machines claim to be conscious. 2049...The common use of nanoproduced food means that the availability of food is no longer affected by limited resources and bad crop weather. 2072...Picoengineering (developing technology at the scale of picometers or trillionths of a meter) becomes practical. 2099...There is no longer any clear distinction between humans and computers...Most conscious entities do not have a permanent physical presence...The goal of education, and of intelligent beings, is discovering new knowledge to learn...Life expectancy is no longer a viable term in relation to intelligent beings.

For decades, proponents of artificial intelligence have argued that computers will soon be doing everything that a human mind can do. Admittedly, computers now play chess at the grandmaster level, but do they understand the game as we do? Can a computer eventually do everything a human mind can do? In this absorbing and frequently contentious book, Roger Penrose--eminent physicist and winner, with Stephen Hawking, of the prestigious Wolf prize--puts forward his view that there are some facets of human thinking that can never be emulated by a machine. Penrose examines what physics and mathematics can tell us about how the mind works, what they can't, and what we need to know to understand the physical processes of consciousness. He is among a growing number of physicists who think Einstein wasn't being stubborn when he said his "little finger" told him that quantum mechanics is incomplete, and he concludes that laws even deeper than quantum mechanics are essential for the operation of a mind. To support this contention, Penrose takes the reader on a dazzling tour that covers such topics as complex numbers, Turing machines, complexity theory, quantum mechanics, formal systems, Godel undecidability, phase spaces, Hilbert spaces, black holes, white holes, Hawking radiation, entropy, quasicrystals, the structure of the brain, and scores of other subjects. The Emperor's New Mind will appeal to anyone with a serious interest in modern physics and its relation to philosophical issues, as well as to physicists, mathematicians, philosophers and those on either side of the AI debate.

"In 1950, mathematician-philosopher Norbert Wiener ended this classic book on the place of machines in society with a warning: "We shall never receive the right answers to our questions unless we ask the right questions.... The hour is very late, and the choice of good and evil knocks at our door." Wiener, the founder of the science of cybernetics--the study of the relationship between computers and the human nervous system--was widely mislabeled as an advocate for the automation of human life. As The Human Use for Human Beings reveals, his vision was much more complex and interesting, and is more relevant in today's world of AI than anyone could have anticipated. In his new introduction, Brian Christian aptly calls Wiener the "progenitor of contemporary AI-safety discourse." Wiener hoped that machines would release people from relentless and repetitive drudgery to achieve more creative pursuits, yet he anticipated the danger of dehumanizing and displacement. His pioneering views on the human-machine relationship as a "communicative process" are only more crucial now, as we carry in our pockets AI devices that we can literally speak to. His prescient warnings illuminate our contemporary relationships with language, art, and even social media. The Human Use of Human Beings examines the implications of cybernetics for education, law, language, science, technology, as Wiener anticipates the enormous impact--in effect, a third industrial revolution--that the computer has had on our lives."-- Provided by publisher

"People like myself, who truly feel at home in several countries, are not strictly at home anywhere," writes Abraham Pais, one of the world's leading theoretical physicists, near the beginning of this engrossing chronicle of his life on two continents. The author of an immensely popular biography of Einstein, Subtle Is the Lord, Pais writes engagingly for a general audience. His "tale" describes his period of hiding in Nazi-occupied Holland (he ended the war in a Gestapo prison) and his life in America, particularly at the newly organized Institute for Advanced Study in Princeton, then directed by the brilliant and controversial physicist Robert Oppenheimer. Pais tells fascinating stories about Oppenheimer, Einstein, Bohr, Sakharov, Dirac, Heisenberg, and von Neumann, as well as about nonscientists like Chaim Weizmann, George Kennan, Erwin Panofsky, and Pablo Casals. His enthusiasm about science and life in general pervades a book that is partly a memoir, partly a travel commentary, and partly a history of science. Pais's charming recollections of his years as a university student become somber with the German invasion of the Netherlands in 1940. He was presented with an unusual deadline for his graduate work: a German decree that July 14, 1941, would be the final date on which Dutch Jews could be granted a doctoral degree. Pais received the degree, only to be forced into hiding from the Nazis in 1943, practically next door to Anne Frank. After the war, he went to the Institute of Theoretical Physics in Copenhagen to work with Niels Bohr. 1946 began his years at the Institute for Advanced Study, where he worked first as a Fellow and then as a Professor until his move to Rockefeller University in 1963. Combining his understanding of disparate social and political worlds, Pais comments just as insightfully on Oppenheimer's ordeals during the McCarthy era as he does on his own and his European colleagues' struggles during World War II. Originally published in 1997. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These paperback editions preserve the original texts of these important books while presenting them in durable paperback editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.

A great mathematician and teacher bridges the gap between science and the humanities in this exposition of the philosophy of science. Philipp Frank, a distinguished physicist and philosopher in his own right, traces the history of science from Aristotle to Einstein to illustrate philosophy’s ongoing role in the scientific process. Suitable for undergraduate students and other readers, this volume explains modern technology’s role in the gradual erosion of the rapport between physical theories and philosophical systems, and offers suggestions for restoring the link between these related areas. Dr. Frank examines the ancient Greek concept of natural science to illustrate the development of modern science; then, using geometry as an example, he charts its progress from Euclidean principles through the interpretations of Descartes, Mill, Kant, and the rise of four-dimensional and non-Euclidean geometry. Additional topics include the laws of motion, before and after innovations of Galileo and Newton; perceptions of motion, light, and relativity through the ages; metaphysical interpretations of relativistic physics; the motion of atomic objects and the phenomena and formulations of atomic physics; and the principle of causality and the validation of theories.