读过《Gödel's Proof》 🌕🌕🌕🌕🌑
绝大部分都写得还不错的,特别是consistency的部分。但是关于证明的主要部分还是这种书的老问题,大概是怎么样能够了解,比较详细(其实也关键)的技术细节就仍然很模糊,比如Gödel numbering,diagonal lemma之类完全没怎么看懂。
Book
Gödel's Proof Douban Goodreads Skybridge
author:
Ernest Nagel
/
James R. Newman
…
publishing house:
NYU Press
2001
- 10
other title:
Gödel's Proof
In 1931 Kurt Godel 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. Godel 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 Godel's discovery. It offers every educated person with a taste for logic and philosophy the chance to understand a previously difficult and inaccessible subject. Marking the 50th anniversary of the original publication of Godel's Proof, New York University Press is proud to publish this special anniversary edition of one of its bestselling and most frequently translated 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.