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Introduction to Elementary Mathematical Logic, by Abram Aronovich Stolyar
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This lucid, non-intimidating presentation by a Russian scholar explores propositional logic, propositional calculus, and predicate logic. Topics include computer science and systems analysis, linguistics, and problems in the foundations of mathematics. Accessible to high school students, it also constitutes a valuable review of fundamentals for professionals. 1970 edition.
- Sales Rank: #2559235 in Books
- Published on: 2010-10-18
- Released on: 2010-09-20
- Original language: English
- Number of items: 1
- Dimensions: .47" h x 5.37" w x 8.46" l, 1.10 pounds
- Binding: Paperback
- 209 pages
Language Notes
Text: English, Russian (translation)
Most helpful customer reviews
12 of 12 people found the following review helpful.
Not for beginners
By D. S. Heersink
Logic has an elegant simplicity to it that this author tries valiantly to capture, but fails. If one is already acquainted with propositional and predicate calculus, this is a joy to read for its elegance (something often attributed to Mates, but I think erroneously). This is a second-course, not a first encounter, text. But once the foundations of logical theory are laid, this is worthy of beholding the same concepts from a purely mathematical perspective.
1 of 1 people found the following review helpful.
A Solid and Well-Written Introduction to Propositional and Predicate Logic
By AssemblyTimeConstant
D. S. Heersink comments in his review that this book is not for beginners; I think he very much mistaken. I was lucky to encounter this book early. It quite carefully develops the concepts involved (in particular it carefully explains what is expected of the operation of implication -- this point can confuse some students and Stolyar goes out of his way to explain the special truth-functional notion of implication and its relation to the more general concept of "conditionals," the idea of entailment and meaningful content, &c.).
After carefully developing the concepts in an informal way, the book delves into formal systems. I think that too many books spend too much time on the informal aspects and only negatively impact comprehension by waiting (and waiting...and waiting...) to introduce more formal matters. Stolyar always indicates alternative notational conventions, so that readers are not confused on encountering different textbooks.
The book covers briefly the use of logic for designing logic circuits, and in both its bibliography and footnotes provides further references on the subjects it discusses (including sources on the history of logic, notably Kneale and Kneale's "The Development of Logic"). The book was written quite a while ago, so the sources and some of the content are dated (next to no model theory, though by page 48 at least the general idea of metalogical features is introduced...probably the most sophisticated text it refers to is Kleene's "Introduction to Metamathematics," which is once again in print thanks to Isha Press International, though Kleene too suffers from a lack of model theory).
Different people do learn in different ways. I would categorize this book for "the serious student" -- not that it is particularly difficult to dive into, but for the purposes of (for instance) the most elementary of philosophy-logic-or philosophical logic classes, yes, yes, the formal development may not be necessary. And since it only touches on the aspect of circuit design, if this happens to be the reason you are interested in logic, you may wan to look elsewhere (though I would urge gaining a general comprehension before pursuing circuit-design or computer science applications).
But judge for yourself: there is a "Look Inside" preview available, and plenty of information on the Dover Publications website. The book is cheap: even if you don't like it (and don't return it) you will only lose a few bucks. But don't fret. I think it will be worth your investment.
1 of 6 people found the following review helpful.
Awesome
By Luis Mayancela
the package came just as better than promised. This being an old book can be said o be a new one.
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