Mathematical logic
Author(s)
Bibliographic Information
Mathematical logic
(Collected works of A.M. Turing)
Elsevier, 2001
Available at 23 libraries
  Aomori
  Iwate
  Miyagi
  Akita
  Yamagata
  Fukushima
  Ibaraki
  Tochigi
  Gunma
  Saitama
  Chiba
  Tokyo
  Kanagawa
  Niigata
  Toyama
  Ishikawa
  Fukui
  Yamanashi
  Nagano
  Gifu
  Shizuoka
  Aichi
  Mie
  Shiga
  Kyoto
  Osaka
  Hyogo
  Nara
  Wakayama
  Tottori
  Shimane
  Okayama
  Hiroshima
  Yamaguchi
  Tokushima
  Kagawa
  Ehime
  Kochi
  Fukuoka
  Saga
  Nagasaki
  Kumamoto
  Oita
  Miyazaki
  Kagoshima
  Okinawa
  Korea
  China
  Thailand
  United Kingdom
  Germany
  Switzerland
  France
  Belgium
  Netherlands
  Sweden
  Norway
  United States of America
Note
Includes bibliographical references and index
Description and Table of Contents
Description
Mathematical Logic is a collection of the works of one of the leading figures in 20th-century science. This collection of A.M. Turing's works is intended to include all his mature scientific writing, including a substantial quantity of unpublished material. His work in pure mathematics and mathematical logic extended considerably further; the work of his last years, on morphogenesis in plants, is also of the greatest originality and of permanent importance. This book is divided into three parts. The first part focuses on computability and ordinal logics and covers Turing's work between 1937 and 1938. The second part covers type theory; it provides a general introduction to Turing's work on type theory and covers his published and unpublished works between 1941 and 1948. Finally, the third part focuses on enigmas, mysteries, and loose ends. This concluding section of the book discusses Turing's Treatise on the Enigma, with excerpts from the Enigma Paper. It also delves into Turing's papers on programming and on minimum cost sequential analysis, featuring an excerpt from the unpublished manuscript. This book will be of interest to mathematicians, logicians, and computer scientists.
Table of Contents
Preface.Alan Mathison Turing-Chronolgy.Preface to this volume.Part I Computability and Ordinal Logics.Historical Introduction (Solomon Feferman).1937 On Computable Numbers, with an Application to the Entscheidungsproblem (P.Lond.Math.Soc.(2)42,230-265).1937 A Correction(ibid:43,544-546).1937 Computability and -definability (J.Symb.Log.2 153-163).1937 The p-function in -K Conversion (J.Symb.Log.2,164).Preface.Turing texts.1938 Systems of Logic based on Ordinals (P.Lond.Math.Soc (2) 45,161-228).Preface(Solomon Feferman).Turing text.Part II Type Theory.General Introduction to Turing's work on Type Theory.Published Papers.1942 A Formal Theorem in Church's Theory of Types (with M.H.A.Newman). (J.Symb.Log.7).Preface.Turing-Newman text.1942 The Use of dots as Brackets in Church's System. (J.Symb.Log.7, 28-33).Preface.Turing text.1948 Practical Forms of Type Theory (J.Symb.Log.13, 80-94).Preface.Turing text.Unpublished papers.1941 Some Theorems about Church's System.1943-4 Practical Forms of Type Theory II.1944-5 The Reform of Mathematical Notation.Part III - Enigmas, Mysteries and Loose Ends.Turing's Treatise on the enigma.Preface (Andew Hodges).Excerpts from the "Enigma Paper".Turing's Papers on Programming.Preface (Martin Campbell-Kelly).Excerpts from original paper.Minimum Cost Sequential Analysis.Excerpt from unpublished manuscript.Commentary (Jack Good).The Nature of Turing and the Physical World(Andrew Hodges).Letter from Robin Gandy to Max Newman.Royal Society Memoir (Max Newman).Bibliography.Lists of contents of other volumes.Appendix:matters arising from other volumes.
by "Nielsen BookData"