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Alan Turing
In this 2013 winner of the prestigious R.R. Hawkins Award from the Association of American Publishers, as well as the 2013 PROSE Awards for Mathematics and Best in Physical Sciences & Mathematics, also from the AAP, readers will find many of the most significant contributions from the four-volume set of the Collected Works of A. M. Turing. These contributions, together with commentaries from current experts in a wide spectrum of fields and backgrounds, provide insight on the significance and contemporary impact of Alan Turing's work. Offering a more modern perspective than anything currently available, Alan Turing: His Work and Impact gives wide coverage of the many ways in which Turing's sc...
Computability Theory
Computability theory originated with the seminal work of Gödel, Church, Turing, Kleene and Post in the 1930s. This theory includes a wide spectrum of topics, such as the theory of reducibilities and their degree structures, computably enumerable sets and their automorphisms, and subrecursive hierarchy classifications. Recent work in computability theory has focused on Turing definability and promises to have far-reaching mathematical, scientific, and philosophical consequences. Written by a leading researcher, Computability Theory provides a concise, comprehensive, and authoritative introduction to contemporary computability theory, techniques, and results. The basic concepts and techniques...
The Once and Future Turing
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.
New Computational Paradigms
This superb exposition of a complex subject examines new developments in the theory and practice of computation from a mathematical perspective, with topics ranging from classical computability to complexity, from biocomputing to quantum computing. This book is suitable for researchers and graduate students in mathematics, philosophy, and computer science with a special interest in logic and foundational issues. Most useful to graduate students are the survey papers on computable analysis and biological computing. Logicians and theoretical physicists will also benefit from this book.
The Incomputable
This book questions the relevance of computation to the physical universe. Our theories deliver computational descriptions, but the gaps and discontinuities in our grasp suggest a need for continued discourse between researchers from different disciplines, and this book is unique in its focus on the mathematical theory of incomputability and its relevance for the real world. The core of the book consists of thirteen chapters in five parts on extended models of computation; the search for natural examples of incomputable objects; mind, matter, and computation; the nature of information, complexity, and randomness; and the mathematics of emergence and morphogenesis. This book will be of interest to researchers in the areas of theoretical computer science, mathematical logic, and philosophy.
Models and Computability
Second of two volumes providing a comprehensive guide to the current state of mathematical logic.
Complexity, Logic, and Recursion Theory
"Integrates two classical approaches to computability. Offers detailed coverage of recent research at the interface of logic, computability theory, nd theoretical computer science. Presents new, never-before-published results and provides informtion not easily accessible in the literature."
Discipleship Explored Handbook
What's the best love you've ever known? Discipleship Explored is for anyone who wants to make the most of their Christian lives, but especially for people who have recently completed an evangelistic course and decided to follow Christ. The Handbook contains everything a guest needs to take part in this eight-session course. Each session starts with film (from the brand new accompanying DVD), after which there is a group Bible study in Philippians. Follow up material is included to help course participants follow up each theme during the week.
Paleolithic Politics
With Paleolithic Politics, Barry Cooper is the first political scientist to propose new interpretations of some of the most famous extant Paleolithic art and artifacts, using his background in political theory and philosophical anthropology. This book is inspired by Eric Voegelin, one of the major political scientists of the last century, who developed an interest in the very early symbolism associated with the caves and rock shelters of the Upper Paleolithic but never finished his analysis. Cooper, who has written extensively on Voegelin?s political science, takes up the enterprise of applying Voegelin?s ideas to an analysis of portable and cave art. He specifically applies Voegelin?s philo...
Christianity Explored
The Christianity Explored course has explained the good news of Jesus Christ to thousands of people. Christianity Explored the book takes the reader through the Gospel of Mark to introduce who Jesus was, what He came to do and why. It further focuses on the identity of Jesus Christ, defining the concept of 'grace' and explaining the nature of Christianity and Christian relationships. The reader is left with a clear choice: who do we say Jesus Christ is? And what will we do with His claims to divinity? Chapters on James, John, Bartimaeus and Herod further present the stark contrasts between the choices made by those who have either rejected or accepted Jesus as Lord. The book ends with an explanation of how God equips people to live the Christian life, preparing the reader to begin this great adventure of faith.
