Logic: Techniques of Formal Reasoning 2nd Edition by Donald Kalish (PDF)

Description

Logic: Techniques of Formal Reasoning, 2/e is an introductory volume that teaches students to recognize and construct correct deductions. It takes students through all logical steps–from premise to conclusion–and presents appropriate symbols and terms, while giving examples to clarify principles. Logic, 2/e uses models to establish the invalidity of arguments, and includes exercise sets throughout, ranging from easy to challenging. Solutions are provided to selected exercises, and historical remarks discuss major contributions to the theories covered.

User’s Reviews

Editorial Reviews: About the Author Donald Kalish is at UCLA. Richard Montague is at late of UCLA.

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐As the title states, the book is difficult to grasp without help, but once it is done, it is marvelous.I know one of the authors firsthand, Gary Mar, who is certainly a mind in this field of logic.

⭐I used this text in a Junior level logic course in the Philosophy department at the University of Maryland at College Park in the early 80’s. That department was working closely with the Computer Science department at the time. Reviewing this text again after all these years reminds me why I am so comfortable with the concepts I deal with as a programmer analyst today. While the fundamental chapters might seem a little too verbose these days, at the time, they were exciting topics which required the level of precision the authors used. The theorems are also very handy to have and review… I guess I get my nerd card punched for today.For such a relatively dated work, it is nevertheless a core work in the study of logic and for understanding fundamental program control flow.

⭐It was alright.

⭐After studying many logic and mathematics texts over the decades, I didn’t expect muchwhen I began this one. Boy was I wrong! This book is enthralling in both content and form.In a general sense, it’s easily the most useful text I’ve ever studied.If you are interested in mathematical logic, work through this book before working throughKleene, Rosser, Hodel, etc. .

⭐in some sort of plastic so that the rain could pour down on it through the paper envelope. I guess other than the edges of the first third of the book it came in pretty good condition; I can still use it.

⭐The product arrived right on time for the start of school and the quality was as promised. The seller is really friendly and accommodating. Highly recommended!

⭐This book is for my Logic and Reasoning class at the University of California. Not the funnest of subjects but I guess the book has all the necessary information for the course. Glad to have it.

⭐Logic: Techniques of Formal Reasoning, 2nd Edition, by Donald Kalish, Richard Montague, and Gary Mar 1980 (1964)I was originally introduced to the 1964 edition of Kalish and Montague’s Logic: Techniques of Formal Reasoning in early 1970. As an undergraduate taking elementary logic for the first time, needless to say I found the demands of sentential and predicate calculus and theorem-proving in general to be daunting and not a little painful. It was many years later after receiving advanced degrees and teaching logic courses myself, along with researching some of the theoretical horizons in artificial intelligence, that I turned back to this most precious of textbooks. Finding that a second edition had been published, I eagerly bought a copy and set out to re-prove all those theorems.Sharpening one’s logic skills can be a struggle, but it is one well worth undergoing especially with the demands for reasoned discipline imposed by Kalish, Montague, and Mar. Every so often, I go back to this text to prove the theorems once again (though I occasionally skip over a few in the first three chapters). I’ve found just a few suggestions I would make to the authors, if they were still around, or to whoever may edit it in the future. These pertain only to the first 5 chapters.The transition from the 125 theorems of the sentential calculus to those of the predicate calculus is a bit rough-going. Almost immediately, one is expected to engage in abbreviated theorem-proving which certainly assumes a command of all those theorems that came before. It would seem that a few more exercises would help students acquire more familiarity with those theorems and with abbreviated proofs. Moreover, one is introduced to more complex inference rules, such as separation of cases, for which few exercises have prepared one, at least up to that point. These may be minor quibbles, but they can cause a lot of confusion, especially to students introduced to logic for the first time.Additionally, well into Chapter III, it is possible to construct a proof of one of the advanced theorems with the use of hypothetical syllogism. In theorem T235 (corresponding to the Aristotelian syllogism Barbara), one can derive two pure hypothetical statements permitting the application of hypothetical syllogism (the law of transitivity) to deduce a third. Yet neither hypothetical syllogism as a specific rule of inference nor the concept of transitivity has been introduced in previous pages. In fact, hypothetical syllogism as such (including explanations of pure and mixed syllogisms) is never introduced, though principles of syllogism are. The law of transitivity is not introduced until late in Chapter V. Of course, one can derive them, but this can cause confusion for a beginner.I highly recommend this text over all others that are commonly used in basic undergraduate or even graduate courses. Though Logic: Techniques of Formal Reasoning is more demanding than, say, any of the Copi books, those demands result in more disciplined reasoning, proofs, and a broader understanding of logic and its relation to mathematics.Myrna L. Estep, Ph.D.

⭐This is the second edition with a smooth printed cover (1st edition had canvas material). Paper Mil is really thin too and it’s I’m a bit dissapointed by the quality because someone donated my 1st Ed… Overall the content is what matters and that’s why I wanted it!

⭐not bad

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