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Description
Proof TheoryFocusing on Gentzen type proof theory, this volume presents a detailed overview of creative works by author Gaisi Takeuti and other twentieth century logicians. The text explores applications of proof theory to logic as well as other areas of mathematics. Suitable for advanced undergraduates and graduate students of mathematics, this long out of print monograph forms a cornerstone for any library in mathematical logic and related topics. The three
Focusing on Gentzen-type proof theory, this volume presents a detailed overview of creative works by author Gaisi Takeuti and other twentieth-century logicians. The text explores applications of proof theory to logic as well as other areas of mathematics. Suitable for advanced undergraduates and graduate students of mathematics, this long-out-of-print monograph forms a cornerstone for any library in mathematical logic and related topics.The three-part treatment begins with an exploration of first order systems, including a treatment of predicate calculus involving Gentzen's cut-elimination theorem and the theory of natural numbers in terms of G del's incompleteness theorem and Gentzen's consistency proof. The second part, which considers second order and finite order systems, covers simple type theory and infinitary logic. The final chapters address consistency problems with an examination of consistency proofs and their applications.
Binding Type: Paperback
Publisher: Dover Publications
Published: 02/20/2013
ISBN: 9780486490731
Pages: 490
Weight: 1.40lbs
Size: 8.90h x 5.90w x 1.10d
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★★★★★ 5
Fun galore.
Format: Kindle
Lots of fun. I enjoyed the characters and the fast moving plot. A winning series from one of my favorite authors.
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Reviewed in the United States on January 29, 2020
★★★★★ 5
Interesting and entertaining
Format: Flexibound
We had another book on New York of these series and wanted to get this book for my daughter who is 9 years old. Along with her I found the language of this book interesting and entertaining. Have already visited couple of places mentioned in it.
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Reviewed in the United States on July 17, 2018
★★★★★ 5
My grandson is a big fan of Lonely Planet Books.
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This was a Christmas gift for my grandson.
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Reviewed in the United States on December 13, 2021
★★★★★ 5
Interesting facts
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Gave this to my 6th grade daughter. She LOVES it!
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Reviewed in the United States on September 1, 2020
★★★★★ 5
kids love it
Format: Flexibound
wonderful way to learn without knowing it.
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Reviewed in the United States on December 16, 2017
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