- Hardcover: 256 pages
- Publisher: Oxford University Press; 2nd edition (January 6, 1972)
- Language: English
- ISBN-10: 019501491X
- ISBN-13: 978-0195014914
- Product Dimensions: 9.3 x 0.7 x 6.2 inches
- Shipping Weight: 1 pounds (View shipping rates and policies)
- Average Customer Review: 4 customer reviews
- Amazon Best Sellers Rank: #646,354 in Books (See Top 100 in Books)
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Elementary Logic 2nd Edition
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Another instance of sloppiness beyond acceptability is in the instance of conditionalization. In his "rigorous" definition, he states that the premise from the line in which the antecedent occurs may be removed from the set of premises included on the line of conditionalization. It took me two weeks to figure out how it was that I was misapplying the rule. What Mates failed to state (or didn't make clear to the neophyte of the subject) was that the antecedent's premise only disappears on the line of conditionalization if the former is a line of premise introduction. That is, an antecedent's premises aren't simply removed from the latter line's set of premises; it only occurs when the antecedent was introduced by premise introduction. This is an absolutely horrible way to write, and I was not the only individual who felt Mates' writing instigated confusion.
I think the reason why many like this book is that it has a conversational style; it is very unimposing, at first glance. However, this is one of those books that likely serves as a good supporting text to another, central text; it may also serve as a review, as I mentioned. In cases of trying to learn metalogic, look elsewhere. I really can't tell you what the love affair with this book is; so many instructors use it. It was a nightmare for me.
It is mainly written from the point of the natural deduction, but it doesn't forget the axiomatic method. It first deals with the propositional logic, and second, the first-order logic. And it contains some features of metalogics and the brief history of logic. It shows all the range of the real "Elemetary Logic" as its title says.
It is a standard (too standard, it maybe the only fault it has) textbook of logic. Of course, it doesn't deal with the informal or inductive logic. You need another book on that. But if you read this book with "The Computability and Logic" by Boolos and Jefferey, you would have already entered deep in this field of the formal logic. It's a good start. Although too hard or standard for lots of student, it's worth trying for.