Unsolvable Problems: 1990 Lecture Notes - Couverture souple

Geroch, Robert

 
9781927763025: Unsolvable Problems: 1990 Lecture Notes
Couverture souple
ISBN 10 : 1927763029 ISBN 13 : 9781927763025
Editeur : Minkowski Institute Press, 2013

Synopsis

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.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Présentation de l'éditeur

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.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
Minkowski Institute Press
Date d'édition
2013
Langue
anglais
ISBN 10 
1927763029
ISBN 13 
9781927763025
Reliure
Broché
Numéro d'édition
1
Nombre de pages
104
Coordonnées du fabricant
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