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This almost self-contained introduction to higher recursion theory is essential reading for all researchers in the field.
This invaluable book is a collection of 31 important both inideas and results papers published by mathematical logicians inthe 20th Century. The papers have been selected by Professor Gerald ESacks. Some of the authors are Gdel, Kleene, Tarski, A Robinson, Kreisel, Cohen, Morley, Shelah, Hrushovski and Woodin.
The description for this book, Degrees of Unsolvability. (AM-55), Volume 55, will be forthcoming.
Contents: Recursive Enumerability and the Jump Operator; On the Degrees Less Than 0'; A Simple Set Which Is Not Effectively Simple; The Recursively Enumerable Degrees Are Dense; Metarecursive Sets (with G Kreisel); Post's Problem, Admissible Ordinals and Regularity; On a Theorem of Lachlan and Marlin; A Minimal Hyperdegree (with R O Gandy); Measure-Theoretic Uniformity in Recursion Theory and Set Theory; Forcing with Perfect Closed Sets; Recursion in Objects of Finite Type; The a-Finite Injury Method (with S G Simpson); Remarks Against Foundational Activity; Countable Admissible Ordinals and Hyperdegrees; The 1-Section of a Type n Object; The k-Section of a Type n Object; Post's Problem, Absoluteness and Recursion in Finite Types; Effective Bounds on Morley Rank; On the Number of Countable Models; Post's Problem in E-Recursion; The Limits of E-Recursive Enumerability; Effective Versus Proper Forcing.
This collection of previously unpublished essays presents a new approach to the history of analytic philosophy--one that does not assume at the outset a general characterization of the distinguishing elements of the analytic tradition. Drawing together a venerable group of contributors, including John Rawls and Hilary Putnam, this volume explores the historical contexts in which analytic philosophers have worked, revealing multiple discontinuities and misunderstandings as well as a complex interaction between science and philosophical reflection.
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From the seventeenth century to the early years of the twentieth, the population of Martha’s Vineyard manifested an extremely high rate of profound hereditary deafness. In stark contrast to the experience of most deaf people in our own society, the Vineyarders who were born deaf were so thoroughly integrated into the daily life of the community that they were not seen—and did not see themselves—as handicapped or as a group apart. Deaf people were included in all aspects of life, such as town politics, jobs, church affairs, and social life. How was this possible? On the Vineyard, hearing and deaf islanders alike grew up speaking sign language. This unique sociolinguistic adaptation meant that the usual barriers to communication between the hearing and the deaf, which so isolate many deaf people today, did not exist.
For more than two generations, W. V. Quine has contributed fundamentally to the substance, the pedagogy, and the philosophy of mathematical logic. Selected Logic Papers, long out of print and now reissued with eight additional essays, includes much of the author's important work on mathematical logic and the philosophy of mathematics from the past sixty years.
Professor Kun Huang is widely known for his collaboration with Max Born in writing the classic monograph, ?Dynamical Theory of Crystal Lattices?. During his years of active research, he has made many important contributions to solid state physics. The present collection of papers is selected at his own choice as representing his most influential works. Thus one finds included his pioneering work on the interaction of radiation field with polar lattices and the resulting coupled vibration modes (later known as ?polariton?); the systematic development of his theory of radiative and nonradiative multiphonon transition processes associated with lattice relaxation; his early prediction of diffuse X-ray scattering due to crystal defects; and his recent research works on low-dimensional semiconductor structures, etc.Professor Huang has found by his experience that scientists interested in these papers often want to know more particulars underlying the research work (background, motivation and rationale involved etc.). Thus he was led to write a commentary which is published alongside the papers.