Handbook of Mathematical Logic (Volume 90) (Studies in Logic and the Foundations of Mathematics, Volume 90) by J. Barwise (PDF)

Description

The handbook is divided into four parts: model theory, set theory, recursion theory and proof theory. Each of the four parts begins with a short guide to the chapters that follow. Each chapter is written for non-specialists in the field in question. Mathematicians will find that this book provides them with a unique opportunity to apprise themselves of developments in areas other than their own.

User’s Reviews

Editorial Reviews: Review Outstanding collection of thirty-one survey articles covering in some detail every major area of current research in mathematical logic. Each article is written by a prominent logician specifically for this volume… A very inviting book in which to browse as well as to obtain considerable detail on specific topics, considering the breadth of coverage. The handbook should be welcomed by the entire mathematical community.American Mathematical MonthlyThis book will also serve as a valuable reference work for any course in mathematical logic.Zentralblatt für Didaktik der MathematikBriefly, this is a magnificent book… there is nothing to compare with it for breadth of coverage… exceedingly high standards of expertise and exposition.Australasian Journal of Philosophy…the role of standard logic reference is fulfilled by the present volume… excellent value for money… the standard logic text for the 1980’s… The book is certainly a gold-mine of information on modern logic… the only reliable reference in classical logic… deserves the widest possible use…Canadian Journal of Philosophy

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

⭐The *Handbook of Mathematical Logic* was an exhaustive survey of the field at the time of the book’s publication in the late ’70s; it still contains many excellent introductions to more advanced topics like infinitary logic. The journeyman will appreciate the book’s conversational tone, in contrast to your average logic textbook; a book like Shoenfield’s contains so much proven so rigorously that slightly more advanced treatments which let their hand show a bit more can actually be *easier* to understand. Aside from some well-written introductions to aspects of recursion theory and the (untyped) lambda calculus the *Handbook* understandably contains little of use for the contemporary computer scientist; complexity theory was in its very infancy, for example. However, there is much of use to not-especially-logically-minded philosophers dealing with texts that invoke recondite topics in set theory: if you have had the “Constructibility axiom” V=L sprung on you by Badiou, or need to get clear about forcing, this is a good place to start.This book is impossible to buy — at least at anything resembling a reasonable price — but many research libraries will have one and if logic is important for something you’re studying you should make it a “go-to” resource.

⭐One amazing encyclopedic book about mathematical logic (is there another type of logic?). One basic book if you want to know more about this theme after the typical pre-graduate mathematical logic course of any university. Difficult but essential.

⭐The chapters are very uneven, as you might expect with 34 authors. A couple are well written but most are poor — too terse, little context, poor writing. Better to look in an appropriate graduate text.

⭐The ideal book for discussing the four pillars of mathematical logic as each aspect of logic iscompartmentalize into a separate section. The book is detailed but not too hard to understand.

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