Introduction to Metamathematics por Stephen Cole Kleene

Titulo del libro: Introduction to Metamathematics

Autor: Stephen Cole Kleene

Número de páginas: 576 páginas

Fecha de lanzamiento: March 1, 2009

ISBN: 0923891579

Editor: Ishi Press

Descargue o lea el libro de Introduction to Metamathematics de Stephen Cole Kleene en formato PDF y EPUB. Aquí puedes descargar cualquier libro en formato PDF o Epub gratis. Use el botón disponible en esta página para descargar o leer libros en línea.

Introduction to Metamathematics por Stephen Cole Kleene

Stephen Cole Kleene con Introduction to Metamathematics

Stephen Cole Kleene was one of the greatest logicians of the twentieth century and this book is the influential textbook he wrote to teach the subject to the next generation. It was first published in 1952, some twenty years after the publication of Godel's paper on the incompleteness of arithmetic, which marked, if not the beginning of modern logic. The 1930s was a time of creativity and ferment in the subject, when the notion of computable moved from the realm of philosophical speculation to the realm of science. This was accomplished by the work of Kurt Gode1, Alan Turing, and Alonzo Church, who gave three apparently different precise definitions of computable. When they all turned out to be equivalent, there was a collective realization that this was indeed the right notion. Kleene played a key role in this process. One could say that he was there at the beginning of modern logic. He showed the equivalence of lambda calculus with Turing machines and with Godel's recursion equations, and developed the modern machinery of partial recursive functions. This textbook played an invaluable part in educating the logicians of the present. It played an important role in their own logical education."