Computation, proof, machine : mathematics enters a new age [EBook] / Gilles Dowek, French Institute for Research in Computer Science and Automation (INRIA) ; translated from the French by Pierre Guillot and Marion Roman.
Computation, proof, machine : mathematics enters a new age [EBook] / Gilles Dowek, French Institute for Research in Computer Science and Automation (INRIA) ; translated from the French by Pierre Guillot and Marion Roman.
Computation is revolutionizing our world, even the inner world of the 'pure' mathematician. Mathematical methods  especially the notion of proof  that have their roots in classical antiquity have seen a radical transformation since the 1970s, as successive advances have challenged the pr...
Personal Name(s):  Dowek, Gilles, (author) 

Guillot, Pierre, (translator) / Roman, Marion, (translator)  
Edition: 
First English edition. 
Imprint: 
Cambridge :
Cambridge University Press,
2015

Physical Description: 
1 online resource (viii, 152 pages) 
Note: 
englisch 
ISBN: 
9780521118019 9780521133777 9781139026581 
Subject (LOC):  
Full Text 
Computation is revolutionizing our world, even the inner world of the 'pure' mathematician. Mathematical methods  especially the notion of proof  that have their roots in classical antiquity have seen a radical transformation since the 1970s, as successive advances have challenged the priority of reason over computation. Like many revolutions, this one comes from within. Computation, calculation, algorithms  all have played an important role in mathematical progress from the beginning  but behind the scenes, their contribution was obscured in the enduring mathematical literature. To understand the future of mathematics, this fascinating book returns to its past, tracing the hidden history that follows the thread of computation. Along the way it invites us to reconsider the dialog between mathematics and the natural sciences, as well as the relationship between mathematics and computer science. It also sheds new light on philosophical concepts, such as the notions of analytic and synthetic judgment. Finally, it brings us to the brink of the new age, in which machine intelligence offers new ways of solving mathematical problems previously inaccessible. This book is the 2007 winner of the Grand Prix de Philosophie de l'Académie Française. 