First-Order Logic (Dover Books on Mathematics), , Raymond M. Smullyan, Good, 199
US $7.50US $7.50
Sep 03, 11:20Sep 03, 11:20
Picture 1 of 1
Gallery
Picture 1 of 1
Have one to sell?
First-Order Logic (Dover Books on Mathematics), , Raymond M. Smullyan, Good, 199
US $7.50
ApproximatelyS$ 9.61
Condition:
Good
A book that has been read but is in good condition. Very minimal damage to the cover including scuff marks, but no holes or tears. The dust jacket for hard covers may not be included. Binding has minimal wear. The majority of pages are undamaged with minimal creasing or tearing, minimal pencil underlining of text, no highlighting of text, no writing in margins. No missing pages.
Last one1 sold
Oops! Looks like we're having trouble connecting to our server.
Refresh your browser window to try again.
Shipping:
Free Economy Shipping.
Located in: Simi Valley, California, United States
Delivery:
Estimated between Mon, 15 Sep and Thu, 18 Sep to 94104
Returns:
30 days return. Buyer pays for return shipping. If you use an eBay shipping label, it will be deducted from your refund amount.
Coverage:
Read item description or contact seller for details. See all detailsSee all details on coverage
(Not eligible for eBay purchase protection programmes)
Seller assumes all responsibility for this listing.
eBay item number:196409552853
Item specifics
- Condition
- Book Title
- First-Order Logic (Dover Books on Mathematics)
- ISBN
- 9780486683706
About this product
Product Identifiers
Publisher
Dover Publications, Incorporated
ISBN-10
0486683702
ISBN-13
9780486683706
eBay Product ID (ePID)
914362
Product Key Features
Number of Pages
176 Pages
Language
English
Publication Name
First-Order Logic
Publication Year
1995
Subject
Logic
Type
Textbook
Subject Area
Mathematics
Series
Dover Books on Mathematics Ser.
Format
Trade Paperback
Dimensions
Item Height
0.4 in
Item Weight
7.6 Oz
Item Length
8.4 in
Item Width
5.4 in
Additional Product Features
Intended Audience
College Audience
LCCN
94-039736
Illustrated
Yes
Edition Description
Unabridged edition
Table Of Content
Part I. Propositional Logic from the Viewpoint of Analytic Tableaux Chapter I. Preliminaries 0. Foreword on Trees 1. Formulas of Propositional Logic 2. Boolean Valuations and Truth Sets Chapter II. Analytic Tableaux 1. The Method of Tableaux 2. Consistency and Completeness of the System Chapter III. Compactness 1. Analytic Proofs of the Compactness Theorem 2. Maximal Consistency: Lindenbaum's Construction 3. An Analytic Modification of Lindenbaum's Proof 4. The Compactness Theorem for Deducibility Part II. First-Order Logic Chapter IV. First-Order Logic. Preliminaries 1. Formulas of Quantification Theory 2. First-Order Valuations and Models 3. Boolean Valuations vs. First-Order Valuations Chapter V. First-Order Analytic Tableaux 1. Extension of Our Unified Notation 2. Analytic Tableaux for Quantification Theory 3. The Completeness Theorem 4. The Skolem-Löwenheim and Compactness Theorems for First-Order Logic Chapter VI. A Unifying Principle 1. Analytic Consistency 2. Further Discussion of Analytic Consistency 3. Analytic Consistency Properties for Finite Sets Chapter VII. The Fundamental Theorem of Quantification Theory 1. Regular Sets 2. The Fundamental Theorem 3. Analytic Tableaux and Regular Sets 4. The Liberalized Rule D Chapter VIII. Axiom Systems for Quantification Theory 0. Foreword on Axiom Systems 1. The System Q subscript 1 2. The Systems Q subscript 2, Q* subscript 2 Chapter IX. Magic Sets 1. Magic Sets 2. Applications of Magic Sets Chapter X. Analytic versus Synthetic Consistency Properties 1. Synthetic Consistency Properties 2. A More Direct Construction Part III. Further Topics in First-Order Logic Chapter XI. Gentzen Systems 1. Gentzen Systems for Propositional Logic 2. Block Tableaux and Gentzen Systems for First-Order Logic Chapter XII. Elimination Theorems 1. Gentzen's Hauptsatz 2. An Abstract Form of the Hauptsatz 3. Some Applications of the Hauptsatz Chapter XIII. Prenex Tableaux 1. Prenex Formulas 2. Prenex Tableaux Chapter XIV. More on Gentzen Systems 1. Gentzen's Extended Hauptsatz 2. A New Form of the Extended Hauptsatz 3. Symmetric Gentzen Systems Chapter XV. Craig's Interpolation Lemma and Beth's Definability Theorem 1. Craig's Interpolation Lemma 2. Beth's Definability Theorem Chapter XVI. Symmetric Completeness Theorems 1. Clashing Tableaux 2. Clashing Prenex Tableaux 3. A Symmetric Form of the Fundamental Theorem Chapter XVII. Systems of Linear Reasoning 1. Configurations 2. Linear Reasoning 3. Linear Reasoning for Prenex Formulas 4. A System Based on the Strong Symmetric Form of the Fundamental Theorem References; Subject index
Synopsis
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 method), Part I deals with 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 linear reasoning. Raymond M. 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., This self-contained study is both an introduction to quantification theory and an exposition of new results and techniques in ""analytic"" or ""cut free"" methods. The focus is on the tableau point of view. Includes 144 illustrations., This self-contained study is both an introduction to quantification theory and an exposition of new results and techniques in "analytic" or "cut free" methods. The focus is on the tableau point of view. Includes 144 illustrations., Considered the best book in the field, this completely self-contained study is both an introduction to quantification theory and an exposition of new results and techniques in "analytic" or "cut free" methods. The focus in on the tableau point of view. Topics include trees, tableau method for propositional logic, Gentzen systems, more. Includes 144 illustrations.
LC Classification Number
QA9.S57 19
Item description from the seller
Popular categories from this store
Seller feedback (193,921)
- eBay automated Feedback- Feedback left by buyer.Past monthOrder completed successfully – tracked and on time
- i***a (109)- Feedback left by buyer.Past monthVerified purchasePerfect
- eBay automated Feedback- Feedback left by buyer.Past monthOrder completed successfully – tracked and on time