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Introduction to Elementary Mathematical Logic Paperback – September 20, 2010


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Product Details

  • Paperback: 209 pages
  • Publisher: Dover Publications; Unabridged edition (September 20, 2010)
  • Language: English
  • ISBN-10: 0486645614
  • ISBN-13: 978-0486645612
  • Product Dimensions: 8.3 x 5.5 x 0.4 inches
  • Shipping Weight: 8.5 ounces (View shipping rates and policies)
  • Average Customer Review: 4.3 out of 5 stars  See all reviews (3 customer reviews)
  • Amazon Best Sellers Rank: #1,918,856 in Books (See Top 100 in Books)

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Text: English, Russian (translation) --This text refers to an out of print or unavailable edition of this title.

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10 of 10 people found the following review helpful By D. S. Heersink on December 6, 2000
Format: Paperback
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.
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Format: Paperback
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.
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0 of 5 people found the following review helpful By Luis Mayancela on March 3, 2009
Format: Paperback
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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