The Waltz of Reason

"""[D]oes the imaginary number i actually exist, or did we invent it? Could an alien civilization develop an alternate form of mathematics, or would they inevitably develop the same one we have? Sigmund's witty tone inspires readers to delve into those questions and others.""--Physics Today ""[L]overs of philosophy and human behavior who are at the very least math-curious will be captivated by the author's investigations of game theory, the social contract, the classic prisoner's dilemma and, of course, the looming question of whether computers are truly intelligent, even potentially conscious.""--Los Angeles Times ""Sigmund takes readers on a mind-bending jaunt through game theory, gambling systems, and more. This makes clear in fascinating detail how math is more than a sum of its parts.""--Publishers Weekly ""An erudite, witty, tongue-in-cheek and wide-ranging discourse on philosophy and mathematics, a G�del, Escher, Bach for the 21st century.""--Christof Koch, PhD, author of The Feeling of Life Itself ""Lucid, readable, and fascinating. Karl Sigmund acts as our friendly guide to topics as diverse as the meaning of numbers, the limits of computers, and the impossibility of a fair voting system. Highly recommended!""--Ian Stewart, author of What's the Use? ""Mathematics and Philosophy have always been great dance partners throughout human history. Karl Sigmund is the perfect companion to lead readers on this merry dance. His combination of deep mathematical and philosophical knowledge combined with his entertaining prose will have readers waltzing through this wonderful book.""--Marcus du Sautoy, author Around the World in Eighty Games ""A delightful historical tour of the interplay of Mathematics and Philosophy.""--Brian Skyrms, University of California, Irvine"