First-Order Logic for the tableau method), and then treat the basic syntactic and semantic fundamentals of propositional logic. Smullyan, Raymond M. 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. 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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This completely self-contained study, widely considered the best book in the field, smullayn 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 m 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. After preliminary material on tress necessary for the tableau methodPart 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 virst.
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.
Smullyan is a well-known logician and inventor of mathematical and logical puzzles. In this book he pogic written a stimulating and challenging exposition of first-order logic that will be welcomed by logicians, mathematicians, and anyone interested in the field.
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This book is not yet featured on Listopia. Jul 23, Andy Magnusson rated it it was amazing. Concise, precise, and more dense than anything I’ve read in a long time. Oct rwymond, Cain S. This is the most dense book I’ve logiic read, but to say it has been rewarding would be an understatement. I had to re-read several paragraphs over and over again before their obvious simplicity shone through; also, had to go back several pages to re-read previous proofs anew to understand the ifrst developments on following pages.
Let the slimness of this book not induce the slightest doubt about its richness, complexity, and, yes, readability. Only after understanding half of the book will y This is the most dense book I’ve ever read, but to say it has been rewarding would be an understatement.
Only after understanding half of the book will you be able to appreciate Smullyan’s writing style, if you are new to FOL like I was, the hard part is staying focused orded then.
Jun 20, Peter rated it it was amazing. Still working on this. The kind of book that makes you feel the lights coming on and the gears starting to spin.
Feb 09, Josh Mcgrath rated it really liked it. Jan 07, Swarner rated it it was amazing. Raymond Smullyan is my Logician Dumbledore. I own and read every book of his I can get my hands lpgic.
Which is well over a dozen. Sep 17, Timon Karnezos rated it really liked it. You want to know the nitty-gritty of FOL? He even has some awesome puzzle books for you to put some of the arcane theory of it into practice.
Raymond M. Smullyan, First-Order Logic – PhilPapers
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Smullyan was a logician, musician, Zen master, puzzle master, and writer.
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