The present volume of Time and Science series is devoted to Physical Sciences and Cosmology. Today more than ever, the question "is Time an ontological property, a necessary ingredient for the physical description of the world, or a purely epistemological element, relative to our situation in the world?" worry physicists and cosmologists alike. For many of them, Relativity (and particularly General Relativity), as well as its reconciliation with quantum mechanics in the elaboration of a quantum theory of gravitation, points to a negative answer to the first alternative, and leads them to deny the objective reality of time. For others, the answer is nuanced by the evidence of an emerging temporal property when one climbs the scales of the complexity of systems and/or the applicability of the statistical laws of thermodynamics. But for some, the illusion of the unreality of time comes from certain confusions that they denounce, and plead for the re-establishment of time at the heart of physical theories.Key Features:oProminent scientists and philosophers of science address contemporary debates on the nature of TimeoTheir contributions freely discuss its unity and reality, its compatibility with the orders of classical philosophy (present, past and future) and with the disputed idea of free will (volume 1)oThey also present a detailed and updated state of the role of Time in the so-called exact sciences: biology — or more precisely genetics, evolution, neurosciences, natural and artificial intelligence (volume 2), and physics — relativity, quantum mechanics and quantum gravity, and cosmology (volume 3)oTen leading researchers address key contemporary scientific issues, including: genetic mechanisms in development and evolution; neuroscientific analysis of the memory and consciousness and the timing mechanisms of neuronal networks. Contributions freely discuss its specificity and its relation to the time of physical sciences, its relation with the orders of classical philosophy (present, past and future) and with the various mechanisms of memories that evolution has fitted in the brainoThirteen prominent researchers from psychologists to theoretical physicists and cosmologists examine the fundamental question of how the concept of time fits into a theoretical description of the universe. This has become a hotly-debated question, as theories of quantum gravitation point to timeless theories, consistent with the most popular interpretation of Einsteinian Relativity with its full determinism and block-universe. However, scientists including Lee Smolin, Dean Rickles and Jules Rankin, are convinced that we need time in the more fundamental physical theories, while others like Daniel Oriti, Gilles Cohen-Tannoudji and Jean-Pierre Gazeau explore new ways to give the concept a role in modern cosmology

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