连续统假设的一致性（修订版） Consistency of the Continuum Hypothesis (Revised)

基本信息

Series:Annals of Mathematics Studies

Format:Paperback / softback 69 pages

Publisher:Princeton University Press

Imprint:Princeton University Press

ISBN:9780691079271

Weight:170g

Dimensions:229 x 152 x 7(mm)

页面参数仅供参考，具体以实物为准

书籍简介

他在1940年出版的《连续统假设的一致性》一书，以其简短的书名而闻名，是现代数学的经典。连续性假设由数学家乔治·康托尔于1877年提出，指出在整数和实数之间不存在任何数集。它后来被列为数学家大卫-希尔伯特（David Hilbert）23个未解决的数学问题中的问题，在1900年巴黎国际数学家大会上作为对数学领域的宣言发表，非常有名。在《连续统假设的一致性》中，哥德尔提出了他对这个问题的证明。

1999年，《时代》杂志对他的排名高于其他科学家埃德温·哈勃、恩里科·费米、约翰·梅纳德·凯恩斯、詹姆斯·沃森、弗朗西斯·克里克和乔纳斯·萨尔克。他因在1931年证明 "不完全性定理 "而闻名，在该定理中，他证明了有些问题是无法用任何一套规则或程序解决的。他的证明在数学、逻辑和其他方面造成了丰硕的破坏。

His 1940 book, better known by its short title, The Consistency of the Continuum Hypothesis, is a classic of modern mathematics. The continuum hypothesis, introduced by mathematician George Cantor in 1877, states that there is no set of numbers between the integers and real numbers. It was later included as the first of mathematician David Hilbert's twenty-three unsolved math problems, famously delivered as a manifesto to the field of mathematics at the International Congress of Mathematicians in Paris in 1900. In The Consistency of the Continuum Hypothesis Gödel set forth his proof for this problem.

In 1999, Time magazine ranked him higher than fellow scientists Edwin Hubble, Enrico Fermi, John Maynard Keynes, James Watson, Francis Crick, and Jonas Salk. He is most renowned for his proof in 1931 of the 'incompleteness theorem,' in which he demonstrated that there are problems that cannot be solved by any set of rules or procedures. His proof wrought fruitful havoc in mathematics, logic, and beyond.

作者简介

库尔特·哥德尔，数学家和逻辑学家，是二十世纪具影响力的思想家之一。哥德尔逃离了纳粹德国，因为他担心自己的犹太妻子，并且厌倦了纳粹对哥廷根大学数学研究所事务的干涉。1933年，他在普林斯顿高等研究所定居，在那里他加入了由世界知名的数学家组成的原教职员工小组。

Kurt Gödel, mathematician and logician, was one of the most influential thinkers of the twentieth century. Gödel fled Nazi Germany, fearing for his Jewish wife and fed up with Nazi interference in the affairs of the mathematics institute at the University of Göttingen. In 1933 he settled at the Institute for Advanced Study in Princeton, where he joined the group of world-famous mathematicians who made up its original faculty.