Hypercomputation is a relatively new theory of computation that
is about computing methods and devices that transcend the so-called
Church-Turing thesis. This book will provide a thorough description
of the field of hypercomputation covering all attempts at devising
conceptual hypermachines and all new promising computational
paradigms that may eventually lead to the construction of a
hypermachine.
Readers of this book will get a deeper understanding of what
computability is and why the Church-Turing thesis poses an
arbitrary limit to what can be actually computed. Hypercomputing is
in and of itself quite a novel idea and as such the book will be
interesting in its own right. The most important features of the
book, however, will be the thorough description of the various
attempts of hypercomputation: from trial-and-error machines to the
exploration of the human mind, if we treat it as a computing
device.
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