The Search For Certainty
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The Search for Certainty
Author: Marcus Giaquinto
language: en
Publisher: Oxford University Press on Demand
Release Date: 2004
Marcus Giaquinto traces the story of the search for firm foundations for mathematics. The nineteenth century saw a movement to make higher mathematics rigorous; this seemed to be on the brink of success when it was thrown into confusion by the discovery of the class paradoxes. That initiated a period of intense research into the foundations of mathematics, and with it the birth of mathematical logic and a new, sharper debate in the philosophy of mathematics. The Search for Certainty focuses mainly on two major twentieth-century programmes: Russell's logicism and Hilbert's finitism. Giaquinto examines their philosophical underpinnings and their outcomes, asking how successful they were, and how successful they could be, in placing mathematics on a sound footing. He sets these questions in the context of a clear, non-technical exposition and assessment of the most important discoveries in mathematical logic, above all Godel's underivability theorems. More than six decades after those discoveries Giaquinto asks what our present perspective should be on the question of certainty in mathematics. Taking recent developments into account, he gives reasons for a surprisingly positive response.
In Search of Certainty
Author: Mark Burgess
language: en
Publisher: "O'Reilly Media, Inc."
Release Date: 2015-04-09
Quite soon, the world’s information infrastructure is going to reach a level of scale and complexity that will force scientists and engineers to approach it in an entirely new way. The familiar notions of command and control are being thwarted by realities of a faster, denser world of communication where choice, variety, and indeterminism rule. The myth of the machine that does exactly what we tell it has come to an end. What makes us think we can rely on all this technology? What keeps it together today, and how might it work tomorrow? Will we know how to build the next generation—or will we be lulled into a stupor of dependence brought about by its conveniences? In this book, Mark Burgess focuses on the impact of computers and information on our modern infrastructure by taking you from the roots of science to the principles behind system operation and design. To shape the future of technology, we need to understand how it works—or else what we don’t understand will end up shaping us. This book explores this subject in three parts: Part I, Stability: describes the fundamentals of predictability, and why we have to give up the idea of control in its classical meaning Part II, Certainty: describes the science of what we can know, when we don’t control everything, and how we make the best of life with only imperfect information Part III, Promises: explains how the concepts of stability and certainty may be combined to approach information infrastructure as a new kind of virtual material, restoring a continuity to human-computer systems so that society can rely on them.
Certainty
In present-day Vancouver, Gail Lim, a producer of radio documentaries, is haunted by the mysterious events in her father's childhood in war-torn Asia, and using her skills as a journalist is driven to unravel the mystery of his past. As a boy, Matthew Lim hid in the jungle fringe near Leila Road in Japanese-occupied Sandakan, North Borneo, with Ani, a girl whose friendship shapes the rest of his life. Together they barely survive the terrifying events of the war, which shatters their families and ultimately splits them apart - until years later, they meet again, only to endure another separation. At once sweeping and intimate, Certainty crosses continents, cultures and time to explore the legacies of loss, the dislocations of war and the redemptive qualities of love.