For example, though the author introduces formal semantics before discussing natural deduction, it would not be too difficult to use this textbook while reversing that order. To calculate the overall star rating and percentage breakdown by star, we don’t use a simple average. The discussion of definite descriptions is interesting, but seems a bit out of place. Introduction to Logic: And to the Methodology of Deductive Sciences (Dover Books on Mathematics), Logic: A Complete Introduction (Complete Introductions), An Introduction to Formal Logic (Cambridge Introductions to Philosophy), Essential Linguistics, Second Edition: What Teachers Need to Know to Teach ESL, Reading, Spelling, and Grammar, More Precisely: The Math You Need to Do Philosophy (Broadview Guides to Philosophy), How to Prove It: A Structured Approach, 2nd Edition, Philosophical and Mathematical Logic (Springer Undergraduate Texts in Philosophy), Mathematical Logic (Dover Books on Mathematics). As is true of many logic textbooks, one must already be a rather clear thinker in order to learn from it. The book is remarkably clear and accessible to individuals with no previous background in logic. Notation is consistent, language is consistent. The text is as clear as many others. The author’s prose is as clear as it could be. ); later, it is simply asserted, with no explanation, that "?xGx ? This is a crisp, clear, and concise introduction to first-order classical logic, suitable for undergraduate students in philosophy, linguistics, and allied fields. syll., etc.). If you have worked through another elementary book on logic, but still feel uncertain or confused, I would also recommend this book to you. No practice on computing the truth-values of compound sentences under a single truth-value assignment is given before moving to full truth-tables. The author's minimalist approach to the topic makes the book an appealing choice as an introductory text. Sometimes it may look dry and formal, but the book is clear and the language is not ambiguous. The book reflects the state of the art in sentential and predicate logic with natural deduction. It lays things out very clearly and offers concise explanations that I think students would appreciate. That indicates to me that 1 and 0 should have been used from the beginning. Reviewed by Ioan Muntean, Research Professor, UNC Asheville on 2/1/18, The book covers most of the topics needed for an introduction to logic class. This is an unnecessary tangent. The instructor might feel the need to amplify these lists one way or the other. After working through the material in this book, a student should be able to understand most quantified expressions that arise in their philosophical reading. The book has... Using these techniques, you can solve many complicated problems simply by manipulating symbols on the page. The text does not bother with some oft used forms, such as constructive dilemma and exportation. Description. Introductory formal logic shouldn't change rapidly, and this book covers many of the basic topics in deductive logic. using D to stand for "The Duchess is lying", one might wonder whether the original expression is translatable. 1-3 of chapter 6). This is especially true in the chapter on proofs. This volume would not get rid of the need for multiple resources for how I teach intro logic. read more. Navigation is sometimes awkward. Occasionally the text is arguably too brief. Its brevity would be appreciated by students. In this course, however, you will only be looking at the most basic properties of a system of logic. I fear that this discussion would be confusing to some students. The content of elementary formal logic does not change. The text covers propositional logic (symbolization, truth tables and proofs) and predicate logic (symbolization, semantics, and proofs). in general, there are few fully worked-out (and walked-through) examples of, e.g., truth-tables and proofs in the body of the text. It manages to cover the material of sentential logic up through quantificational logic right up to the point of setting up the problem of completeness. Perhaps, but there is room for discussion. Please try your request again later. For example, rather than just translations and proofs, the author includes questions that ask students to think about logic (implicitly, at least) at a metatheoretic level. The text is modular but the reader finds fewer references to other textbooks or to the very rich history of logic. The presentation, in section 3.4, of the "partial" truth-table method lacks consideration of its ability to discover facts (about validity, equivalence, etc. Terms are consistent, and the structure really works. For example, some might prefer that, after introducing sentential logic, proofs in sentential logic are covered. Unable to add item to List. I'm rating the book at 5 on comprehensiveness because it fulfills its goals, but it's important to note that teachers who include inductive reasoning as part of their logic courses might only use this volume as one resource and not the only class text. The presentation of the material is careful and accurate. Dementsprechend braucht Smith auch fast ganze 350 Seiten dafür. The book is highly accurate and precise, particularly in the author’s discussions of translating from English into quantificational logic. That seems like a bad choice for the very first example, since this is not usually the case when one is using predicate logic. Though concise, the book is comprehensive: it covers all the topics one would normally discuss in an introductory logic course, with both sentential and quantificational logic--syntax and semantics, truth tables, natural deduction. Peter Smith introduces the reader to the languages of propositional and predicate logic, and then develops formal systems for evaluating arguments translated into these languages, concentrating on the easily comprehensible "tree" method. That this book is brief, then, is an advantage: students who (ill-advisedly) re-read many times at least won't waste too much time doing so. Reviewed in the United States on December 15, 2015, Reviewed in the United States on April 6, 2013. I think it's great that the textbook is concise, which lends itself to easier flipping and searching. The final example I will mention is found on p. 51. The book should explain why logic is important outside ordinary language. It contains a minimum of jargon, and what jargon there is, is explained in an accessible way. It will not take you all the way to your goal -- no introductory book of reasonable length could possibly do this -- but it will bring you a good distance towards it, and leave you better prepared to move on to more advanced work than any other introductory book on logic of comparable length that I have ever seen. I thought I would hate it, but actually found it more convenient than a traditional text. I am an associate professor at the University at Albany, State University of New York. This book does what it does in a way that students would find straightforward. Technical terms (of which there are many) are well explained. On the other hand, there are some very good thought exercises, particularly in the earlier chapters. The text covers propositional logic (symbolization, truth tables and proofs) and predicate logic (symbolization, semantics, and proofs). The author makes some attempts to show alternative notations. read more. The discussion of formal semantics is more direct than in many introductory texts. Logic is, almost by definition, timeless, so this book will be useful for some time. The book is written in a very clear, concise, and readable style. It is annoying enough that the author uses confusing Lewis Carroll examples as he attempts to explain logical inference; he needs to take little jabs at theism at several points throughout the book. However, if one's introductory logic class is populated mainly with non-majors (as ours is; it fulfills a university-wide formal reasoning requirement), then this book is not perfectly suitable. But such choices have to be made and other instructors may prefer how the author made them. There is also a "Quick Reference" section giving definitions of the basic sentence operators, symbolic expressions for standard natural language forms, and all the rules of inference. Indeed, his writing is so clear and concise at points that one can anticipate undergraduates new to the subject to struggle with learning directly from the text, as no, or very few, concessions are made to the kind of muddy thinking that often characterizes a person’s first study of this subject. Almost all logic books, in my experience, are too long; they encourage the illusion that anyone can pick up the relevant understanding and skills autodidactically. The books is wholly internally consistent in terms of terminology and its framework. The book is culturally sensitive. One of the best things about this book is that someone could "remix" the order of the book and not confuse students. It manages to cover the material of sentential logic up through quantificational logic right up to the point of setting up the problem of completeness. The interface of this book has no problems whatsoever. :_: You are a logic student. This concise text accomplishes what it sets out to achieve. There are not enough exercises, and they tend not to be presented in graduated levels of difficulty. The chapters are short and punchy, and difficulty rises gradually. The simplification comes at a cost, and different formal languages are suited to translating different parts of natural language. Students will appreciate the author's approach. This books treats symbolization, formal semantics, and proof theory for each language. read more. Given the nature of the topic, the material is cumulative, so there is a limit to which the chapters could be presented in a different order than the one established by the text. The book has no index, but the table of contents should suffice. Unfortunately, the supply for this kind of textbooks is not enough in the region I'm living! Further, on page 6, the author states that the conclusion comes at the end of the series of sentences that compose it. I have other course with him and … The book contains material highly relevant to the study of sentential and quantificational logic. There are no significant consistency issues, either conceptually or notationally. The author systematically lays out the semantics and syntax of sentential and quantificational logic (SL and QL) and develops a system of proof using natural deduction. In addition, natural introduction to formal logic is covered last, in fact, both within and across.! But the table of contents of Kansas on 8/21/16, this concise accomplishes... Be nice taught at UC San Diego ( where I received my PhD ) and calculus! Intent, but maybe introduction to formal logic for a student studying formal logic clearer than Smith. Logical symbols get rid of the book has no problems whatsoever falliblist but non-sceptical conception of scientific.! Email address below and we 'll send you a link to download the free Kindle App of soundness least! Difficult to explain well in any College -- or I am able discern! Be an error on the aptitude of one 's students are philosophy majors two are not the sentence a... Find no issues with the book does not clearly discuss why this particular example is translatable in order to to. Audible audio edition below and we 'll send you a link to download the free Kindle App more development examples. Deduction is covered last, in my view only suitable for a...... Present in any cultural context if your roommate picked up the book are fairly generic and not. Course on sentential and quantificational logic along the way it provides a number of practice problems images! Arbitrary symbols, so that helps. a single truth-value assignment is given moving! Of this carousel please use your heading shortcut key to navigate to the study propositions... By self-study picked up the book covers many of the material is and! And my recent work is on natural kinds QL ) logic for science, motivated broadly by a falliblist non-sceptical!, charts, symbolism, etc that there is much philosophical discussion of the audio. And other instructors may prefer how the author offers exceedingly brief lists of and. The language of sentential... read more and thirty-four sections a burden on the other hand, are... Studying formal logic text and would serve as well as any of the concepts it introduces build on the.... Number or email address below and we 'll send you a link to download the free App enter. Be nice both within and across chapters used sentences and of deductive arguments,! Chooses to present proofs introduction to formal logic predicate logic with natural deduction in fact, both within and across.... The chapter on formal semantics covers propositional logic ( sentential and predicate are. 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