First-Order Logic has 71 ratings and 7 reviews. This completely self-contained study, widely considered the best book in the field, is intended to serve. Front Cover. Raymond M. Smullyan. Springer-Verlag, – First-order logic – pages First-Order Logic ยท Raymond R. Smullyan Limited preview – This completely self-contained study, widely considered the best book in the field, is intended to serve both as an introduction to quantification theory and as.

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By using our website you agree to our use of cookies. Dispatched from the UK in 2 ordfr days When will my order arrive? Home Contact Us Help Free delivery worldwide. Description This completely self-contained study, widely considered the best book in the field, is intended to serve both as an introduction to quantification theory and as an exposition of new results and techniques in “analytic” or “cut-free” methods.

Impressed by the simplicity and mathematical elegance of the tableau point of view, the author focuses on it here. After preliminary material on tress necessary for the tableau methodPart I deals logicc propositional logic from the viewpoint of analytic tableaux, covering such topics as formulas or propositional logic, Boolean valuations and truth sets, the method of tableaux and compactness.

Part II covers first-order logic, offering detailed treatment of such matters as first-order analytic tableaux, analytic consistency, quantification theory, magic sets, and analytic versus synthetic consistency properties. Part III continues coverage of first-order logic. Among the topics discussed are Gentzen systems, elimination theorems, prenex tableaux, symmetric completeness theorems, and system firzt reasoning.


Smullyan is a well-known logician and inventor of mathematical and logical puzzles. In this book he has written a stimulating and challenging exposition of first-order logic that will be welcomed by logicians, mathematicians, and anyone interested in the field. The Best Books of Check out the top books of the year on our page Best Books of Looking for beautiful books?

Ssmullyan our Beautiful Books page and find lovely books for kids, photography lovers and more. Other books in this series. Introduction to Topology Bert Mendelson.

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First-order Logic

Mathematics for the Non-mathematician Morris Kline. Game Theory Morton D. Introductory Real Analysis A. Calculus of Variations Isarel M. Differential Geometry Erwin Kreyszig. Table of contents Part Prder. Foreword on Trees 1. Formulas orser Propositional Logic 2. The Method of Tableaux 2. Analytic Proofs of the Compactness Theorem 2. An Analytic Modification of Lindenbaum’s Proof 4.

Formulas of Quantification Theory 2. First-Order Valuations and Models 3. First-Order Valuations Chapter V. First-Order Analytic Tableaux 1.

First-order Logic – Raymond M. Smullyan – Google Books

Extension of Our Unified Notation 2. Analytic Smulpyan for Quantification Theory 3. The Completeness Theorem 4. A Unifying Principle 1. Further Discussion of Analytic Consistency 3. The Fundamental Theorem of Quantification Theory 1. The Fundamental Theorem 3. Analytic Tableaux and Regular Figst 4. Axiom Systems for Quantification Theory 0.


Foreword on Axiom Systems 1. The System Q subscript 1 2. Applications of Magic Sets Chapter X. Analytic versus Synthetic Consistency Properties 1. Synthetic Consistency Properties 2. Gentzen Systems for Propositional Logic 2.

First-Order Logic

An Abstract Form of the Hauptsatz 3. More on Gentzen Systems 1.

Gentzen’s Extended Hauptsatz 2. A New Form of the Extended Hauptsatz 3. Craig’s Interpolation Lemma 2. Symmetric Completeness Theorems 1. Clashing Prenex Tableaux 3. Systems of Linear Reasoning 1. Linear Reasoning for Prenex Dirst 4.

Best known for his mathematical and creative logic puzzles and games, he was also a concert pianist and a magician. He wrote over a dozen books of logic puzzles and texts on mathematical logic. Smullyam Merry Prankster Raymond Smullyanmathematician, logician, magician, creator of extraordinary puzzles, philosopher, pianist, and man otder many parts. Recent years have brought a number of his magical books of logic and math puzzles: More will be coming in subsequent years.

In the Author’s Own Words: He seemed somewhat puzzled when I explained that the reason I don’t is that I’m a Gemini. I tend rather smuolyan be critical of precise statements: Book ratings by Goodreads. Goodreads is the world’s largest site for readers with over 50 million reviews. We’re featuring millions of their reader ratings on our book pages to help you find your new favourite book.