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Description
Mathematics and LogicWhat is mathematics? How was it created and who were and are the people creating and practicing it? Can one describe its development and role in the history of scientific thinking and can one predict the future? This book is a thought provoking attempt to answer such questions and to suggest the scope and depth of the subject. The volume begins with a discussion of problems involving integers in which ideas of infinity appear and proceeds through the
What is mathematics? How was it created and who were and are the people creating and practicing it? Can one describe its development and role in the history of scientific thinking and can one predict the future? This book is a thought-provoking attempt to answer such questions and to suggest the scope and depth of the subject.The volume begins with a discussion of problems involving integers in which ideas of infinity appear and proceeds through the evolution of more abstract ideas about numbers and geometrical objects. The authors show how mathematicians came to consider groups of general transformations and then, looking upon the sets of such subjects as spaces, how they attempted to build theories of structures in general. Also considered here are the relations between mathematics and the empirical disciplines, the profound effect of high-speed computers on the scope of mathematical experimentation, and the question of how much mathematical progress depends on invention and how much on discovery. For mathematicians, physicists, or any student of the evolution of mathematical thought, this highly regarded study offers a stimulating investigation of the essential nature of mathematics.
Binding Type: Paperback
Publisher: Dover Publications
Published: 05/01/1992
ISBN: 9780486670850
Pages: 192
Weight: 0.46lbs
Size: 8.23h x 5.68w x 0.38d
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★★★★★ 5
My dogs favorite!
My dogs love these! They will play all day if you'd let them, these balls are their favorites. I use the chuck-it handle and they get tons of exercise in the big yard!
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Reviewed in the United States on April 22, 2026
★★★★★ 5
The Dog LOVES IT!
I bought this for my ex-wife's Pitbull. He is an aggressive chewer and usually destroys any toy I buy him. But not this one! The ball is small enough and pliable that it gives when he chomps on it. He loves this ball and seems to be his favorite toy. Thank you for making a product that he likes and can't destroy!
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Reviewed in the United States on December 30, 2024
★★★★★ 5
My Golden Retriever’s favorite
We’ve owned lots of toys and balls. This specific version (in blue) has been her absolute favorite. She’s about 72lbs and chews on this thing regularly with no visible damage. We actually own about 6 of them because they have a tendency to go missing underneath furniture and in the yard. We have two of the orange colored ones but she doesn’t like those nearly as much which I assume is because the blue is easier to see in the grass.
Other than that…They bounce really well and also whistle a little when you throw them hard enough. I hope they never stop making these.
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Reviewed in the United States on October 6, 2024
★★★★★ 4
doesn't whistle as loud as other chuckit balls I've seen, but a good ball.
makes some noise, but I've seen (and played with) others at the dog park that whistle much louder than the 1 I got. all Chuckit balls... so, just this one I'm betting.
but it flys good and the dog loves to chase it.
he chews it a fair bit as well and the ball has not taken much damage from him (lab mix) or others that have had a go at it.
I'll likely buy another at some point ... just wish it was a little louder when flying.
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Reviewed in the United States on November 4, 2025
★★★★★ 5
Blue ball, my dog likes blue.
Just a ball right? Evidently not! My dog won’t chase an orange chuck it ball or the glow in the dark ball- only the blue one 🤷🏼♀️
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Reviewed in the United States on May 9, 2025