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Description
Undecidable Theories: Studies in Logic and the Foundation of MathematicsThis graduate level book is well known for its proof that many mathematical systems including lattice theory, abstract projective geometry, and closure algebras are undecidable. Based on research conducted from 1938 to 1952, it consists of three treatises by a prolific author who ranks among the greatest logicians of all time. The first article, "A General Method in Proofs of Undecidability," examines theories with standard formalization, undecidable
This graduate-level book is well known for its proof that many mathematical systems--including lattice theory, abstract projective geometry, and closure algebras--are undecidable. Based on research conducted from 1938 to 1952, it consists of three treatises by a prolific author who ranks among the greatest logicians of all time.The first article, "A General Method in Proofs of Undecidability," examines theories with standard formalization, undecidable theories, interpretability, and relativization of quantifiers. The second feature, "Undecidability and Essential Undecidability in Mathematics," explores definability in arbitrary theories and the formalized arithmetic of natural numbers. It also considers recursiveness, definability, and undecidability in subtheories of arithmetic as well as the extension of results to other arithmetical theories. The compilation concludes with "Undecidability of the Elementary Theory of Groups."
Binding Type: Paperback
Publisher: Dover Publications
Published: 08/19/2010
ISBN: 9780486477039
Pages: 98
Weight: 0.35lbs
Size: 8.20h x 5.30w x 0.40d
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4.5 ★★★★★
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Product Reviews
★★★★★ 5
Love them
Color: Pink & Beige, Size: Medium/Large(fits size 8 to 11)
I wear a size 11.5 in ladies shoe and these just barely fit. Butttt after I put lotion on my feet and slipped these on and left them on for about 30 mins. It left my feet really soft! They work great as intended. Would buy again
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Reviewed in the United States on January 31, 2026
★★★★★ 3
Effective but may be uncomfortable
Color: Pink & Beige, Size: Medium/Large(fits size 8 to 11)
I have eczema on my feet and use a prescription cream that I leave on overnight. I often have a problem sleeping in socks but the silicone feels cool on my feet. The only drawback I have is the opening of the socks feel very tight around my ankles making them uncomfortable on me. I wish the opening was a bit more flexible.
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Reviewed in the United States on September 20, 2025
★★★★★ 1
Burned my already sensitive feet, too big
Color: Pink & Beige, Size: Medium/Large(fits size 8 to 11)
Feels icky, and the heat gets trapped and literally felt like my feet were being burned by these. The bottoms of these feel prickly and they are way too big. You have to sit still and cannot walk in them.
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Reviewed in the United States on April 22, 2026
★★★★★ 5
Just as good as paraffin wax
Color: Pink & Beige, Size: Medium/Large(fits size 8 to 11)
I might prefer these socks over paraffin wax. They are comfy and very moisturizing. I use these socks once a week to keep the heels and soles of my feet moisturized between pedicures. I rinse with warm, soapy water then hang to dry. They are hard to walk in, but there's a saying printed in the socks that's says something to the effect of "take a break, stay off your feet" lol I love that as a reminder to put my feet up and relax
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Reviewed in the United States on April 9, 2026
★★★★★ 5
Love these!
Color: Pink & Beige, Size: Small(fits up to size 7)
Love these! As I write this review, I’m sitting in my recliner with these on. I have had other silicone socks in the past and would like to share a few of the things that I have learned.
These fit great! The others were 2-3 sizes too big because you could not order a size. I wear a size 7 women’s shoe. I got the smaller size. I walked around my apartment in my old ones and they got kinda yucky. Now, I sit in my recliner, put them on and chill for a few hours. I now take them off and put in a ziplock bag so they stay nice and clean (no cat hair!). I use them once a week usually on Saturday or Sunday as I’m a working girl. Also, I use Auqaphor before I put them on and put cotton socks on after I’m finished. Your feet will be SO soft. This is not a one and done…I do this every week especially during sandal season! I know this was lengthy and I hope you got some tips.
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Reviewed in the United States on April 25, 2026