Unsolvable Problems: 1990 Lecture Notes (Paperback) (ISBN-13: 9781927763025)

Could the day ever come when mathematics proceeds in a purely mechanistic fashion - that it requires no genuinely new insights? This sounds like a good question for an afternoon's debate. But, strange as it may seem, there is actually a theorem in mathematics to the effect that this subject can never become routine This result, called Godel's theorem, is one of the greatest discoveries in mathematics of the twentieth century. And - perhaps even more remarkable - the proof of this theorem can be understood by anyone, without any knowledge at all of mathematics. The statement and proof of Godel's theorem is the subject of this book. The idea is quite simple, but it requires thinking about things in a new way. The book includes homework problems and exams with solutions and comments.

Author: Robert Geroch
ISBN-10: 1927763029
ISBN-13: 9781927763025
Publisher: Minkowski Institute Press
Language: English
Published: 05/21/2013
Pages: 104
Format: Paperback
Weight: 0.33lbs
Size: 9.00h x 6.00w x 0.22d