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The Nature of Computation
Computational complexity is one of the most beautiful fields of modern mathematics, and it is increasingly relevant to other sciences ranging from physics to biology. But this beauty is often buried underneath layers of unnecessary formalism, and exciting recent results like interactive proofs, phase transitions, and quantum computing are usually considered too advanced for the typical student. This book bridges these gaps by explaining the deep ideas of theoretical computer science in a clear and enjoyable fashion, making them accessible to non-computer scientists and to computer scientists who finally want to appreciate their field from a new point of view. The authors start with a lucid a...
The Ultimate Challenge
The $3x+1$ problem, or Collatz problem, concerns the following seemingly innocent arithmetic procedure applied to integers: If an integer $x$ is odd then “multiply by three and add one”, while if it is even then “divide by two”. The $3x+1$ problem asks whether, starting from any positive integer, repeating this procedure over and over will eventually reach the number 1. Despite its simple appearance, this problem is unsolved. Generalizations of the problem are known to be undecidable, and the problem itself is believed to be extraordinarily difficult. This book reports on what is known on this problem. It consists of a collection of papers, which can be read independently of each oth...
Unveiling Dynamics and Complexity
This book constitutes the refereed proceedings of the 13th Conference on Computability in Europe, CiE 2017, held in Turku, Finland, in June 2017. The 24 revised full papers and 12 invited papers were carefully reviewed and selected from 69 submissions. The conference CiE 2016 has six special sessions, namly: algorithmics for biology; combinatorics and algorithmics on words; computability in analysis, algebra, and geometry; cryptography and information theory; formal languages and automata theory; and history and philosophy of computing.
Unity of Logic and Computation
This book constitutes the refereed proceedings of the 19th International Conference on Unity of Logic and Computation, CiE 2023, held in Batumi, Georgia, during July 24–28, 2023. The 23 full papers and 13 invited papers included in this book were carefully reviewed and selected from 51 submissions. They were organized in topical sections as follows: Degree theory; Proof Theory; Computability; Algorithmic Randomness; Computational Complexity; Interactive proofs; and Combinatorial approaches.
New Directions in the Philosophy of Science
This volume sheds light on still unexplored issues and raises new questions in the main areas addressed by the philosophy of science. Bringing together selected papers from three main events, the book presents the most advanced scientific results in the field and suggests innovative lines for further investigation. It explores how discussions on several notions of the philosophy of science can help different scientific disciplines in learning from each other. Finally, it focuses on the relationship between Cambridge and Vienna in twentieth century philosophy of science. The areas examined in the book are: formal methods, the philosophy of the natural and life sciences, the cultural and social sciences, the physical sciences and the history of the philosophy of science.
Abstractions and Embodiments
"This anthology of original historical essays examines how social relations are enacted in and through computing using the twin frameworks of abstraction and embodiment. The book highlights a wide range of understudied contexts and experiences, such as computing and disability, working mothers as technical innovators, race and community formation, and gaming behind the Iron Curtain"--
The Epistemological Skyhook
Throughout philosophical history, there has been a recurring argument to the effect that determinism, naturalism, or both are self-referentially incoherent. By accepting determinism or naturalism, one allegedly acquires a reason to reject determinism or naturalism. The Epistemological Skyhook brings together, for the first time, the principal expressions of this argument, focusing primarily on the last 150 years. This book addresses the versions of this argument as presented by Arthur Lovejoy, A.E. Taylor, Kurt Gödel, C.S. Lewis, Norman Malcolm, Karl Popper, J.R. Lucas, William Hasker, Thomas Nagel, Alvin Plantinga, and others, along with the objections presented by their many detractors. It concludes by presenting a new version of the argument that synthesizes the best aspects of the others while also rendering the argument immune to some of the most significant objections made to it.
Exploring the Early Digital
Changes in the present challenge us to reinterpret the past, but historians have not yet come to grips with the convergence of computing, media, and communications technology. Today these things are inextricably intertwined, in technologies such as the smartphone and internet, in convergent industries, and in social practices. Yet they remain three distinct historical subfields, tilled by different groups of scholars using different tools. We often call this conglomeration “the digital,” recognizing its deep connection to the technology of digital computing. Unfortunately, interdisciplinary studies of digital practices, digital methods, or digital humanities have rarely been informed by ...
Computational Artifacts
The philosophy of computer science is concerned with issues that arise from reflection upon the nature and practice of the discipline of computer science. This book presents an approach to the subject that is centered upon the notion of computational artefact. It provides an analysis of the things of computer science as technical artefacts. Seeing them in this way enables the application of the analytical tools and concepts from the philosophy of technology to the technical artefacts of computer science. With this conceptual framework the author examines some of the central philosophical concerns of computer science including the foundations of semantics, the logical role of specification, the nature of correctness, computational ontology and abstraction, formal methods, computational epistemology and explanation, the methodology of computer science, and the nature of computation. The book will be of value to philosophers and computer scientists.
Turing's Vision
In 1936, when he was just twenty-four years old, Alan Turing wrote a remarkable paper in which he outlined the theory of computation, laying out the ideas that underlie all modern computers. This groundbreaking and powerful theory now forms the basis of computer science. In Turing's Vision, Chris Bernhardt explains the theory, Turing's most important contribution, for the general reader. Bernhardt argues that the strength of Turing's theory is its simplicity, and that, explained in a straightforward manner, it is eminently understandable by the nonspecialist. As Marvin Minsky writes, "The sheer simplicity of the theory's foundation and extraordinary short path from this foundation to its log...
