Once and Future Turing: Computing the World

Alan Turing (1912-1954) Made Seminal Contributions To Mathematical Logic, Computation, Computer Science, Artificial Intelligence, Cryptography And Theoretical Biology. In This Volume, Outstanding Scientific Thinkers Take A Fresh Look At The Great Range Of Turing's Contributions, On How The Subjects Have Developed Since His Time, And How They Might Develop Still Further. The Contributors Include Martin Davis, J. M. E. Hyland, Andrew R. Booker, Ueli Maurer, Kanti V. Mardia, S. Barry Cooper, Stephen Wolfram, Christof Teuscher, Douglas Richard Hofstadter, Philip K. Maini, Thomas E. Woolley, Eamonn A. Gaffney, Ruth E. Baker, Richard Gordon, Stuart Kauffman, Scott Aaronson, Solomon Feferman, P. D. Welch And Roger Penrose. These Specially Commissioned Essays Will Provoke And Engross The Reader Who Wishes To Understand Better The Lasting Significance Of One Of The Twentieth Century's Deepest Thinkers.--amazon.com. Preface -- Introduction -- Part One: Inside Our Computable World, And The Mathematics Of Universality. Algorithms, Equations, And Logic ; The Forgotten Turing ; Turing And The Primes ; Cryptography And Computation After Turing ; Alan Turing And Enigmatic Statistics -- Part Two: The Computation Of Processes, And Not Computing The Brain. What Alan Turing Might Have Discovered ; Designed Versus Intrinsic Computation ; Dull Rigid Human Meets Ace Mechanical Translator -- Part Three: The Reverse Engineering Road To Computing Life. Turing's Theory Of Developmental Pattern Formation ; Walking Tightrope: The Dilemma Of Hierarchical Instabilities In Turing's Morphogenesis -- Part Four: Biology, Mind, And The Outer Reaches Of Quantum Computation. Answering Descartes: Beyond Turing ; The Ghost In The Quantum Turing Machine -- Part Five: Oracles, Infinitary Computation, And The Physics Of The Mind. Turing's 'oracle': From Absolute To Relative Computability And Back ; Turing Transcendent: Beyond The Event Horizon ; On Attempting To Model The Mathematical Mind -- Afterword. [edited By] S. Barry Cooper, Andrew Hodges. Formerly Cip. Includes Bibliographical References. Also Issued Online.