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Description
Introduction to Symbolic Logic and Its ApplicationsThis book is one of the clearest, most comprehensive and rigorous introductions to modern symbolic logic available in any language. Professor Carnap, a world authority on symbolic logic, develops the subject from elementary concepts and simple exercises through the construction and analysis of a number of relatively complex logical languages. He then considers, in great detail, the application of symbolic logic to the clarification and axiomatization
This book is one of the clearest, most comprehensive and rigorous introductions to modern symbolic logic available in any language. Professor Carnap, a world authority on symbolic logic, develops the subject from elementary concepts and simple exercises through the construction and analysis of a number of relatively complex logical languages. He then considers, in great detail, the application of symbolic logic to the clarification and axiomatization of various theories in mathematics, physics, and biology.Such topics as the nature and use of constants and variables, predicates, sentential connectives, truth-tables, universal and existential sentences, definitions, identity, isomorphism, syntactical and semantical systems and the relations between them, the system of types, varieties of relations, linear order, special operators, structures and cardinal numbers, descriptions, finite and infinite concepts, continuity, thing languages, coordinate languages, axiom systems for set theory, arithmetic, geometry, space-time topology, biological concepts, and many other subjects, are covered in detail. The logic of relations is given a particularly extensive treatment. Hundreds of problems, examples, and exercises are included to give students practice in the techniques of symbolic logic and their usage.
Binding Type: Paperback
Publisher: Dover Publications
Published: 06/01/1958
ISBN: 9780486604534
Pages: 272
Weight: 0.59lbs
Size: 8.00h x 5.44w x 0.53d
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4.6 ★★★★★
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Product Reviews
★★★★★ 5
Durable & Bright - Great for Heavy Chewers
Size: One-Size-for-Most
Pros:
Extremely Durable: Survived an aggressive chewer where tennis balls failed.
Dual-Visibility: Features both internal flashing lights and a glow-in-the-dark "chargeable" surface.
Perfect Size: Fits comfortably in the mouth of a 40lb medium-sized dog. Same size as a tennis ball.
Cons:
Battery Life: Unsure how long the internal flashing lights will last (though it has held up well so far).
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Reviewed in the United States on February 8, 2026
★★★★★ 5
Great for night time play!
Size: One-Size-for-Most
This ball is great! It is a 2-for-one light up feature so we love the flashing lights and if she drops it in the snow after those lights stop, we can still find it because of the strong glow that gets its charge from the flashing LED lights. Our first one lasted a few years, we lost it on a trip so now back for our second one so we can keep the night time fetch going! She is a golden retriever for size reference. Any bigger of a breed and I would worry it might be too small for her mouth. It’s a bit smaller than a tennis ball. Just don’t make the same mistake I did and let them have it in the house at night, she walked up to my bedside while I was asleep one night and squeezed it to activate it. Those lights are so bright it was a rude awakening!
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Reviewed in the United States on November 11, 2025
★★★★★ 4
Good option for playing at night
Size: One-Size-for-Most
This ball is a good option if your dog likes to fetch at night. It stays lit for about 20 minutes or so, but that is me only leaving it out of the counter, being "charged" by whatever house lights are on. My dog isn't a big chewer, but it seems as though it would hold up well. I like that it is easy to rinse and clean. It seems to be a good value.
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Reviewed in the United States on January 16, 2026
★★★★★ 5
Night play
Size: One-Size-for-Most
My dog like many other dogs loves to play. We needed a ball that fit into the handheld thrower we had but something that we could find it at night. This has been wonderful!
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Reviewed in the United States on April 26, 2026
★★★★★ 1
It stopped working after three play sessions
Size: One-Size-for-Most
I thought this ball was great until a week later it stopped blinking and got lost in the snow. We only played with it for three days for 20 minutes at a time. It should’ve lasted a lot longer.
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Reviewed in the United States on December 12, 2025