In The Science of Conjecture, James Franklin, senior lecturer in mathematics at the University of New South Wales, tells the story of how people thought about evidence and likelihood in the years before Pascal and Fermat discovered how to compute e there are few areas of life in which people do not weigh likelihood and ponder evidence, The Science of Conjecture explores many. Uncle Petros and Goldbach's Conjecture tells the story of a brilliant mathematician obsessed with proving Goldbach's Conjecture (as reformulated by Euler: every even number greater than two is the sum of two primes). Despite the seemingly difficult mathematical subject, the book is 4/5(). A paper posted online this month has settled a nearly year-old conjecture about the structure of the fundamental building blocks of computer circuits. This “sensitivity” conjecture has stumped many of the most prominent computer scientists over the years, yet the new proof is so simple that one researcher summed it up in a single tweet. “This conjecture has stood as one of the most. How does it proceed? That is a problem, one on which de Jouvenel focuses on in this book. The Art of Conjecture clearly explains what the "study of the future" can mean. De Jouvenel emphasizes the logical and political problems of forecasting and discusses methods in economics, sociology, and political science by which the future can be studied.

My conjecture also leads to a cultural-level prediction, though it becomes harder to formalize it. I believe that cultures that protect more strongly freedom of speech in the scientific domain will contribute disproportionally to science. And that is because a culture of freedom of speech encourages and supports open dissent with established ideas. The Science of Conjecture, by James Franklin. Baltimore and London: The Johns Hopkins University Press, Pp. Xiii + H/b too. The subject of this highly readable and entertaining book is uncertainty and the rational methods of dealing with it. With an enviable command of an. The fourth chapter contains a proof of Denjoy's conjecture that employs Melnikov curvature. A brief postscript reports on a deep theorem of Tolsa and its relevance to going beyond Vitushkin's conjecture. Although standard notation is used throughout, there is a symbol glossary at the back of the book for the reader's convenience. The Hauptvermutung (German for main conjecture) of geometric topology is the conjecture that any two triangulations of a triangulable space have a common refinement, a single triangulation that is a subdivision of both of them. It was originally formulated in , by Steinitz and Tietze.. This conjecture is now known to be false. The non-manifold version was disproved by John Milnor in