There's Something about Godel: The Complete Guide to the Incompleteness Theorem

ویرایش:  
نویسندگان: Francesco Berto(auth.)  
سری:  
ISBN (شابک) : 9781405197663, 9781444315028 
ناشر: Wiley-Blackwell 
سال نشر: 2009 
تعداد صفحات: 247 
زبان: English 
فرمت فایل : PDF (درصورت درخواست کاربر به PDF، EPUB یا AZW3 تبدیل می شود) 
حجم فایل: 2 مگابایت 

قیمت کتاب (تومان) : 35,000



Berto’s highly readable and lucid guide introduces students and the interested reader to Godel’s celebrated Incompleteness Theorem, and discusses some of the most famous - and infamous - claims arising from Godel's arguments.

• Offers a clear understanding of this difficult subject by presenting each of the key steps of the Theorem in separate chapters
• Discusses interpretations of the Theorem made by celebrated contemporary thinkers
• Sheds light on the wider extra-mathematical and philosophical implications of Godel’s theories
• Written in an accessible, non-technical style

Content:
Chapter 1 Foundations and Paradoxes (pages 3–38):
Chapter 2 Hilbert (pages 39–53):
Chapter 3 Godelization, or Say It with Numbers! (pages 54–70):
Chapter 4 Bits of Recursive Arithmetic … (pages 71–78):
Chapter 5 …And How It Is Represented in Typographical Number Theory (pages 79–85):
Chapter 6 “I Am Not Provable” (pages 86–101):
Chapter 7 The Unprovability of Consistency and the “Immediate Consequences” of G1 and G2 (pages 102–127):
Chapter 8 Bourgeois Mathematicians! The Postmodern Interpretations (pages 131–145):
Chapter 9 A Footnote to Plato (pages 146–161):
Chapter 10 Mathematical Faith (pages 162–173):
Chapter 11 Mind versus Computer: Godel and Artificial Intelligence (pages 174–188):
Chapter 12 Godel versus Wittgenstein and the Paraconsistent Interpretation (pages 189–213):