Gödel's Proof
暫譯: 哥德爾的證明

Nagel, Ernest, Newman, James R., Hofstadter, Douglas R.

  • 出版商: New York University Press
  • 出版日期: 2008-10-01
  • 售價: $870
  • 貴賓價: 9.5$827
  • 語言: 英文
  • 頁數: 160
  • 裝訂: Quality Paper - also called trade paper
  • ISBN: 0814758371
  • ISBN-13: 9780814758373
  • 相關分類: 離散數學 Discrete-mathematics
  • 海外代購書籍(需單獨結帳)

商品描述

An accessible explanation of Kurt Gödel's groundbreaking work in mathematical logic

In 1931 Kurt Gödel published his fundamental paper, "On Formally Undecidable Propositions of Principia Mathematica and Related Systems." This revolutionary paper challenged certain basic assumptions underlying much research in mathematics and logic. Gödel received public recognition of his work in 1951 when he was awarded the first Albert Einstein Award for achievement in the natural sciences--perhaps the highest award of its kind in the United States. The award committee described his work in mathematical logic as "one of the greatest contributions to the sciences in recent times."

However, few mathematicians of the time were equipped to understand the young scholar's complex proof. Ernest Nagel and James Newman provide a readable and accessible explanation to both scholars and non-specialists of the main ideas and broad implications of Gödel's discovery. It offers every educated person with a taste for logic and philosophy the chance to understand a previously difficult and inaccessible subject.

New York University Press is proud to publish this special edition of one of its bestselling books. With a new introduction by Douglas R. Hofstadter, this book will appeal students, scholars, and professionals in the fields of mathematics, computer science, logic and philosophy, and science.

商品描述(中文翻譯)

一個易於理解的庫爾特·哥德爾在數學邏輯領域的開創性工作解釋

在1931年,庫爾特·哥德爾發表了他的基礎論文《關於《數學原理》及相關系統的形式上不可判定命題》。這篇革命性的論文挑戰了許多數學和邏輯研究的基本假設。哥德爾在1951年因其在自然科學領域的成就而獲得首屆阿爾伯特·愛因斯坦獎,這可能是美國同類獎項中最高的榮譽。獎項委員會將他的數學邏輯工作描述為「近期科學界最偉大的貢獻之一」。

然而,當時很少有數學家能夠理解這位年輕學者的複雜證明。厄尼斯特·納格爾和詹姆斯·紐曼為學者和非專家提供了一個可讀且易於理解的解釋,闡述了哥德爾發現的主要思想和廣泛影響。這本書為每位對邏輯和哲學有興趣的受過教育的人提供了理解這一以往困難且難以接觸的主題的機會。

紐約大學出版社自豪地出版這本暢銷書的特別版。這本書由道格拉斯·R·霍夫施塔特撰寫了新的序言,將吸引數學、計算機科學、邏輯和哲學以及科學領域的學生、學者和專業人士。

作者簡介

Ernest Nagel was John Dewey Professor of Philosophy at Columbia University.

作者簡介(中文翻譯)

厄尼斯特·納格爾是哥倫比亞大學約翰·杜威哲學教授。