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Description
The Cult of Pythagoras: Math and MythsIn this follow up to his popular Science Secrets, Alberto A. Mart nez discusses various popular myths from the history of mathematics: that Pythagoras proved the hypotenuse theorem, that Archimedes figured out how to test the purity of a gold crown while he was in a bathtub, that the Golden Ratio is in nature and ancient architecture, that the young Galois created group theory the night before the pistol duel that killed him, and more. Some stories
In this follow-up to his popular Science Secrets, Alberto A. Mart nez discusses various popular myths from the history of mathematics: that Pythagoras proved the hypotenuse theorem, that Archimedes figured out how to test the purity of a gold crown while he was in a bathtub, that the Golden Ratio is in nature and ancient architecture, that the young Galois created group theory the night before the pistol duel that killed him, and more. Some stories are partly true, others are entirely false, but all show the power of invention in history. Pythagoras emerges as a symbol of the urge to conjecture and "fill in the gaps" of history. He has been credited with fundamental discoveries in mathematics and the sciences, yet there is nearly no evidence that he really contributed anything to such fields at all. This book asks: how does history change when we subtract the many small exaggerations and interpolations that writers have added for over two thousand years? The Cult of Pythagoras is also about invention in a positive sense. Most people view mathematical breakthroughs as "discoveries" rather than invention or creativity, believing that mathematics describes a realm of eternal ideas. But mathematicians have disagreed about what is possible and impossible, about what counts as a proof, and even about the results of certain operations. Was there ever invention in the history of concepts such as zero, negative numbers, imaginary numbers, quaternions, infinity, and infinitesimals? Mart nez inspects a wealth of primary sources, in several languages, over a span of many centuries. By exploring disagreements and ambiguities in the history of the elements of mathematics, The Cult of Pythagoras dispels myths that obscure the actual origins of mathematical concepts. Mart nez argues that an accurate history that analyzes myths reveals neglected aspects of mathematics that can encourage creativity in students and mathematicians.Binding Type: Paperback
Publisher: University of Pittsburgh Press
Published: 06/26/2013
ISBN: 9780822962700
Pages: 264
Weight: 1.01lbs
Size: 9.30h x 6.10w x 0.90d
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4.6 ★★★★★
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Product Reviews
★★★★★ 5
My dogs love these!
Pattern Name: Peanut Butter, Size: 6 Inch (Pack of 15)
It doesn’t matter if it’s a 4 inch or a 6 inch my dogs love these things. We keep them in stock all the time. It’s great for anxiety and their teeth and breath
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Reviewed in the United States on March 26, 2026
★★★★★ 5
My dog LOVES these!
Pattern Name: Peanut Butter, Size: 6 Inch (Pack of 15)
My two year old mini poodle loves these! Of course all dogs love peanut butter. And carrots! The only caution I take is to only let her eat half. Yes it is a wrestling match when making her retreat. LOL
I find if my girl eats it all she is likely to have ugly bowel issue either later or first thing when she rises in the morning . I still buy them over and over but use with a plan in mind. I think they are medium hardness. My dog really needs something harder to engage for days. I do buy the hard Himalayan cheese on Amazon but she prefers her other options. Depending on your breed size and how much you like to clean up poo determines your personal plan for your fur baby.
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Reviewed in the United States on November 19, 2025
★★★★★ 1
Made my dog very sick!
My dog has been eating these for 3 years. He loves them and they help keep his teeth clean. I gave him one from the New bag I ordered. It looked a little lighter in color but I thought it was fine. That was this past Sunday. He only ate half of it and I thought that was odd. That night around 1am he threw up. Then had diarrhea later that morning. I thought maybe he ate something in the yard. Now Monday he stopped eating and had explosive diarrhea. Took him to vet on Tuesday morning. They did bloodwork, checked feces and had x ray done incase of a possible blockage. Finally got results on Thursday and 700.00 later. Doctor said he must of eaten something but can't say exactly what. He's doing better now with an antibiotic. The only thing he ate was that bully bone on Sunday. It was really scary because he was so sick. I will be throwing out these bones and try to find something safe for him to chew. This was a great product until they may have changed ingredients.
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Reviewed in the United States on June 29, 2025
★★★★★ 5
The Best Flavor-Packed Toy to Stuff and Chew! 🐾
Flavor Name: REAL Bacon, Size: Medium
Hello, it’s Skye! I’m back with another very important product update. If you are a dog who loves a challenge and loves real bacon, you need to tell your humans to get you the Benebone Ring Durable Dog Chew Toy.
Why this ring is my absolute favorite:
The Ultimate Treat Bowl: My absolute favorite part about this ring is the hollow center. My humans stuff it full of yummy treats, freeze-dried raw bites, or a little dog-safe peanut butter, and it turns into the best puzzle bowl ever! I will happily spend hours licking and working to get every single crumb out.
Tastes Like Real Bacon: Even after I clean out all the stuffed treats, the toy itself is infused with real, delicious bacon flavor. It doesn't smell like fake chemicals; it smells like the real deal, which makes my nose very happy.
Super Durable for Heavy Chewing: I have sharp puppy teeth and I love to chomp, but this durable nylon ring is tough. The curved design makes it really easy for me to flip up with my paws and hold securely while I chew away.
It keeps me completely occupied, exercises my brain, and satisfies my need to chew. Five paws up for the best stuffed treat ring ever! 🐶🥓
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Reviewed in the United States on May 24, 2026
★★★★★ 5
Recommend
Flavor Name: REAL Bacon, Size: Small
This chew toy is great for aggressive chewers—it’s very durable and holds up much longer than most other toys we’ve tried. The ring shape makes it easy for dogs to grip and carry, and my dog was immediately interested in it, likely because of the real bacon flavor. It’s also a nice bonus that it’s made in the USA and doesn’t have a strong smell for humans.
That said, it is very hard, so I’d recommend keeping an eye on your dog while they’re using it, especially if they’re an intense chewer. Over time, it does wear down and needs to be replaced once the edges get rough.
Overall: a long-lasting, high-quality chew that keeps dogs occupied—just be mindful of the hardness and monitor for wear.
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Reviewed in the United States on March 25, 2026