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Introduction to Logic ReviewI agree with the other reviewers of this text that it is the best I've encountered (I have taught several different sections of logic over nearly ten years, using 6 or 7 different texts, and have reviewed countless others). The writing is admirably clear and precise, and reads well. Nothing extraneous here, but there is enough to elucidate ideas and strategies. There are two key features that distinguish this text from others, and render it extremely valuable.(1) the examples and logic problems are INTERESTING, mostly because they are invariably drawn from philosophical arguments; this gives me an opportunity to tie the teaching of logic to discussion of philosophy and makes the relevance of logic to philosophy very clear; I often find students who are interested in philosophy because they have read existentialism or even Plato, and who appreciate the play of ideas they find in these texts; what they do not understand is that the poetry of ideas must be tied to logic, and, more importantly, that there is a kind of poetic rigor to logic; this text helps to make that clear.
(2) Gensler has developed a remarkably simple set of strategies for proof construction, that eliminates much of the confusion and ambiguity that students experience when encountering proofs for the first time; his "star test" for testing syllogisms is excellent, and a cinch to apply; it is even easier to grasp than Venn diagrams and is more versatile; his strategy for proofs in propositional and predicate logic is the best and easiest I've seen anywhere, and combines the merits of truth trees with standard deductive proofs, and has the advantage of yielding both proofs of validity and refutations by the very same method. The ease of the strategy means that it is possible to move much further in a single semester than usual. The content of the book goes further, too, than many of the standard textbooks. He goes into modal logic, belief logic, deontic logic and even has a chapter presenting a formalized ethical theory. Very cool stuff!!
(3) The only weakness I have found is in his explanation of translations; where he is very helpful and precise with strategies for producing proofs and refutations, his guidelines for producing translations into formal symbolism are a bit more vague and amount to only a few guidelines and a bit of hand waving. Still, even here I haven't seen much better elsewhere, so this is a minor quibble. In the context of my classroom, it just meant that this was something we spent more time on.
I really can't recommend this book highly enough for those who are interested in logic.Introduction to Logic Overview
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