In this rich and wide-ranging book, Terry Pinkard interweaves the story of "Germany"--changing during this period from a loose collection of principalities into a newly-emerged nation with a distinctive culture--with an examination of the currents and complexities of its developing philosophical thought. He examines the dominant influence of Kant, with his revolutionary emphasis on "self-determination," and traces this influence through the development of romanticism and idealism to the critiques of post-Kantian thinkers such as Schopenhauer and Kierkegaard. His book will interest a range of readers in the history of philosophy, cultural history and the history of ideas. Terry Pinkard is professor of Philosophy at Northwestern University and is the author of the acclaimed Hegel: A Biography (Cambridge, 2000). He is honorary Professor of the Philosophy Faculty of TUbingen University, Germany and serves on the advisory board for the Zeitschrift fUr Philosophique Forschung.

    The work of English clergyman, educator and Shakespearean scholar Edwin A. Abbott (1838-1926), it describes the journeys of A. Square [sic – ed.], a mathematician and resident of the two-dimensional Flatland, where women-thin, straight lines-are the lowliest of shapes, and where men may have any number of sides, depending on their social status.Through strange occurrences that bring him into contact with a host of geometric forms, Square has adventures in Spaceland (three dimensions), Lineland (one dimension) and Pointland (no dimensions) and ultimately entertains thoughts of visiting a land of four dimensions—a revolutionary idea for which he is returned to his two-dimensional world. Charmingly illustrated by the author, Flatland is not only fascinating reading, it is still a first-rate fictional introduction to the concept of the multiple dimensions of space. "Instructive, entertaining, and stimulating to the imagination." — Mathematics Teacher.

    With this astonishing guidebook, Surfing Through Hyperspace, you need not be a mathematician or an astrophysicist to explore the all-but-unfathomable concepts of hyperspace and higher-dimensional geometry.No subject in mathematics has intrigued both children and adults as much as the idea of a fourth dimension. Philosophers and parapsychologists have meditated on this mysterious space that no one can point to but may be all around us. Yet this extra dimension has a very real, practical value to mathematicians and physicists who use it every day in their calculations. In the tradtion of Flatland, and with an infectious enthusiasm, Clifford Pickover tackles the problems inherent in our 3-D brains trying to visualize a 4-D world, muses on the religious implications of the existence of higher-dimensional consciousness, and urges all curious readers to venture into the unexplored territory lying beyond the prison of the obvious. Pickover alternates sections that explain the science of hyperspace with sections that dramatize mind-expanding concepts through a fictional dialogue between two futuristic FBI agents who dabble in the fourth dimension as a matter of national security. This highly accessible and entertaining approach turns an intimidating subject into a scientific game open to all dreamers.Surfing Through Hyperspace concludes with a number of puzzles, computer experiments and formulas for further exploration, inviting readers to extend their minds across this inexhaustibly intriguing scientific terrain.

    The difficulty he, and others, had with Quantum Physics was the great conceptual leap it requires taking from conventional ways of thinking about the physical world. Alastair Rae's introductory exploration into this area has been hailed as a masterpiece of clarity and is an engaging guide to the theories offered. This revised edition contains a new chapter covering theories developed during the past decade. Alastair Rae has been a Lecturer, a Senior Lecturer, then Reader in Quantum Physics in the School of Physics and Astronomy at University of Birmingham from 1967-2003. His publications include the First Edition of Quantum Physics, (Cambridge, 1994) and Quantum Mechanics (Institute of Physics, 2002), now in its Fourth Edition. First Edition Pb (1994): 0-521-46716-0

    500 B.C.), are translated, and the pattern of his thought is reconstructed by the author.

    It combines the essential elements of the theory with the practical applications. Containing many examples and problems with step-by-step solutions, this cleverly structured text assists the reader in mastering the machinery of quantum mechanics. * A comprehensive introduction to the subject * Includes over 65 solved examples integrated throughout the text * Includes over 154 fully solved multipart problems * Offers an indepth treatment of the practical mathematical tools of quantum mechanics * Accessible to teachers as well as students

    According to the author, these trends sought to create a unified conceptual apparatus as a common basis for the whole of human knowledge.Because these new developments in logical thought tended to perfect and sharpen the deductive method, an indispensable tool in many fields for deriving conclusions from accepted assumptions, the author decided to widen the scope of the work. In subsequent editions he revised the book to make it also a text on which to base an elementary college course in logic and the methodology of deductive sciences. It is this revised edition that is reprinted here.Part One deals with elements of logic and the deductive method, including the use of variables, sentential calculus, theory of identity, theory of classes, theory of relations and the deductive method. The Second Part covers applications of logic and methodology in constructing mathematical theories, including laws of order for numbers, laws of addition and subtraction, methodological considerations on the constructed theory, foundations of arithmetic of real numbers, and more. The author has provided numerous exercises to help students assimilate the material, which not only provides a stimulating and thought-provoking introduction to the fundamentals of logical thought, but is the perfect adjunct to courses in logic and the foundation of mathematics.

    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.

    Through those letters, she enrolls in a kind of correspondence course, covering Socrates to Sartre, with a mysterious philosopher, while receiving letters addressed to another girl. Who is Hilde? And why does her mail keep turning up? To unravel this riddle, Sophie must use the philosophy she is learning—but the truth turns out to be far more complicated than she could have imagined.

    Numerous tables and figures.

    Tender and joyous, it is a celebration of art's power to transform the darkest of human experience and give voice to the grandest of human hopes.

    The description for this book, Critique of Religion and Philosophy, will be forthcoming.

    What emerges from this history is a general theory of intellectual life, one that avoids both the reduction of ideas to the influences of society at large and the purely contingent local construction of meanings. Instead, Collins focuses on the social locations where sophisticated ideas are formed: the patterns of intellectual networks and their inner divisions and conflicts. According to his theory, when the material bases of intellectual life shift with the rise and fall of religions, educational systems, and publishing markets, opportunities open for some networks to expand while others shrink and close down. It locates individuals -- among them celebrated thinkers like Socrates, Aristotle, Chu Hsi, Shankara, Wirt Henstein, and Heidegger -- within these networks and explains the emotional and symbolic processes that, by forming coalitions within the mind, ultimately bring about original and historically successful ideas.

    In ten short chapters of lyrical prose—each one an ode to a breathtaking realm of discovery—Stefan Klein uses everyday objects and events as a springboard to meditate on the beauty of the underlying science. Klein sees in a single rose the sublime interdependence of all life; a day of stormy weather points to the world’s unpredictability; a marble conjures the birth of the cosmos. As he contemplates the deepest mysteries—the nature of reality, dark matter, humanity’s place among the galaxies, and more—Klein encourages us to fall in love with the universe the way scientists do: with a grasp of the key ideas and theories of twenty-first-century physics that bring to life the wonders of, really, everything. You won’t look at a rose—or at our world—the same way again.

    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.