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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 afternoons debate. But, strange as it may seem, there is actually a theorem inMoreCould 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 afternoons 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 Godels 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 Godels 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. Unsolvable Problems: 1990 Lecture Notes (Lecture Notes Series) (Volume 4) by Robert Geroch