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Foundations of Mathematical LogicThis book is a thoroughly documented and comprehensive account of the constructive theory of the first order predicate calculus. This is a calculus that is central to modern mathematical logic and important for mathematicians, philosophers, and scientists whose work impinges upon logic. Professor Curry begins by asking a simple question: What is mathematical logic? If we can define logic as "the analysis and criticism of thought" (W. E. Johnson), then
This book is a thoroughly documented and comprehensive account of the constructive theory of the first-order predicate calculus. This is a calculus that is central to modern mathematical logic and important for mathematicians, philosophers, and scientists whose work impinges upon logic.Professor Curry begins by asking a simple question: What is mathematical logic? If we can define logic as "the analysis and criticism of thought" (W. E. Johnson), then mathematical logic is, according to Curry, "a branch of mathematics which has much the same relation to the analysis and criticism of thought as geometry does to the science of space."
The first half of the book gives the basic principles and outlines of the field. After a general introduction to the subject, the author discusses formal methods including algorithms and epitheory. A brief treatment of the Markov treatment of algorithms is included here. The elementary facts about lattices and similar algebraic systems are then covered. In the second half of the book Curry investigates the possibility for a formulation that expresses the meaning to be attached to the logical connectives and to develop the properties that follow from the assumptions so motivated. The author covers positive connectives: implication, conjunction, and alternation. He then goes on to negation and quantification, and concludes with modal operations. Extensive use is made in these latter chapters of the work of Gentzen. Lists of exercises are included.
Haskell B. Curry, Evan Pugh Research Professor, Emeritus, at Pennsylvania State University, was a member of the Institute for Advanced Study, Princeton; a former Director of the Institute for Foundational Research, the University of Amsterdam; and President of the Association for Symbolic Logic. His book avoids a doctrinaire stance, presenting various interpretations of logical systems, and offers philosophical and reflective as well as mathematical perspectives.
Binding Type: Paperback
Publisher: Dover Publications
Published: 11/18/2010
ISBN: 9780486634623
Pages: 416
Weight: 0.94lbs
Size: 8.23h x 5.60w x 0.78d
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★★★★★ 4
Frothing like a barista!
Color: Gloss Black
Works great! It took some practice to produce froth without the coffee splattering! But, once I got the hang of it, the results were amazing!
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Reviewed in the United States on April 28, 2026
★★★★★ 5
Best frother ever!
Color: Flat Black
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Reviewed in the United States on May 3, 2026
★★★★★ 5
Compact for travel
Color: Flat Black
Really good, powerful and practical for travel
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Reviewed in the United States on May 24, 2026
★★★★★ 5
Works Great So Far
Color: Flat Black
I've only used this item for one week. But it is working great. I primarily bought it to use when mixing protein powder, and it has performed great. The only concern that I might share is that it is made fairly lightweight, and I wonder how long it will last. But can, up to this point, recommend it.
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Reviewed in the United States on June 4, 2026
★★★★★ 5
Life made easier
Color: Black, Color: Black
This milk frother works really well and is super easy to use. It quickly froths milk to a nice, creamy consistency—perfect for coffee, lattes, or protein drinks. The foam comes out smooth and holds up well, which I was pleasantly surprised by.
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Reviewed in the United States on April 15, 2026