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Godel's Proof

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Godel's ProofIn 1931 Kurt G del published his fundamental paper, "On Formally Undecidable Propositions of Principia Mathematica and Related Systems." This revolutionary paper challenged certain basic assumptions underlying much research in mathematics and logic. G del received public recognition of his work in 1951 when he was awarded the first Albert Einstein Award for achievement in the natural sciences perhaps the highest award of its kind in the United States.

In 1931 Kurt G del published his fundamental paper, "On Formally Undecidable Propositions of Principia Mathematica and Related Systems." This revolutionary paper challenged certain basic assumptions underlying much research in mathematics and logic. G del received public recognition of his work in 1951 when he was awarded the first Albert Einstein Award for achievement in the natural sciences--perhaps the highest award of its kind in the United States. The award committee described his work in mathematical logic as "one of the greatest contributions to the sciences in recent times."
However, few mathematicians of the time were equipped to understand the young scholar's complex proof. Ernest Nagel and James Newman provide a readable and accessible explanation to both scholars and non-specialists of the main ideas and broad implications of G del's discovery. It offers every educated person with a taste for logic and philosophy the chance to understand a previously difficult and inaccessible subject.
Marking the 50th anniversary of the original publication of G del's Proof, New York University Press is proud to publish this special anniversary edition of one of its bestselling and most frequently translated books. With a new introduction by Douglas R. Hofstadter, this book will appeal students, scholars, and professionals in the fields of mathematics, computer science, logic and philosophy, and science.



Binding Type: Paperback
Publisher: New York University Press
Published: 10/01/2008
ISBN: 9780814758373
Pages: 129
Weight: 0.40lbs
Size: 8.05h x 5.04w x 0.47d
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SKU: 60490451163

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Nana
Belleville, US
★★★★★ 4
Chuckit medium rebound balls
Size: Medium
My 8 month old German shepherd dog loves these balls. They are easy to throw, they bounce great, they are very chewable! She keeps one in her mouth most of the time. It satisfies her need to chew and she does not chew other things. She drops it in the water and lets the hole fill up and drinks that way. The only problem that has caused is suction in her mouth and difficulty in dislodging it for her. However, she would be lost without it!
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Reviewed in the United States on April 19, 2023
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Helena
Boise, US
★★★★★ 5
These are definitely indestructible
Size: Medium
Both of my dogs can destroy a ball in a matter of minutes if I let them play with them (supervised) as is. Well not with these balls. They are the ONLY ones I have found that are 100% indestructible. Please only let your dogs play with these as a toy when supervised though. They go really far when throwing them, so both dogs get a good amount of running and exercise with these. I also bought these because they have the hole in the middle of the ball which is very important in the event that a dog gets one stuck at the back of their throat. This allows them to breath unlike those without this hold. It's an unlikely event, but as dog owners, we all need to be aware of this and educate ourselves on what to do if this SHOULD happen. This isn't a scare tactic, nor a reflection of this particular brand, it can happen with any type of ball. My two dogs are about 45ish lbs and the size is perfect for them, I don't want anything smaller than this. They love them. There is no annoying squeak. Really easy to wash after use. Some balls take forever to get the slimy saliva off, but these don't.
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Reviewed in the United States on September 25, 2025
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Ale quintero
Boise, US
★★★★★ 5
He loves this ball
Size: Medium, Size: Medium
My dog loves this ball. It’s the perfect size, he enjoys playing fetch and this ball has been his fav one. Thank you guys for making my lil one happy
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Reviewed in the United States on May 2, 2026
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Richard H Harrison
Phoenix, US
★★★★★ 5
Great toy to play fetch with the dogs.
Color: Black/White, Size: Large
These balls are a great dog toy to play fetch with your dogs. This not the first ball I have gotten for the dogs. Just the right size and weight for medium sized dogs. I have less concerns about them possibly choking on these soccer balls versus tennis balls. So I can leave them out for them to play with. The are easy to inflate using the included pump. My only concern is the durability of the straps as my dogs have almost torn off one the straps of the previous ball I purchased.
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Reviewed in the United States on May 2, 2026
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Kendall
New York, US
★★★★★ 5
Dog parents; buy this now!
Color: Black/White, Size: Medium
A must have for my pup! I have bought this at least 5 times. She eventually pops them and I need a new one. It's an amazing toy that she can thrash and we can play fetch with
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Reviewed in the United States on May 1, 2026

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