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Sinopsis
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.
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Acerca del autor
Born in New York City in 1919, Raymond Smullyan is a philosopher and magician as well as a famous mathematician and logician. His career as a stage magician financed his undergraduate studies at the University of Chicago as well his doctoral work at Princeton. The author of several imaginative books on recreational mathematics, Smullyan is also a classical pianist.
Raymond Smullyan: The Merry Prankster
Raymond Smullyan (1919– ), mathematician, logician, magician, creator of extraordinary puzzles, philosopher, pianist, and man of many parts. The first Dover book by Raymond Smullyan was First-Order Logic (1995). Recent years have brought a number of his magical books of logic and math puzzles: The Lady or the Tiger (2009); Satan, Cantor and Infinity (2009); an original, never-before-published collection, King Arthur in Search of His Dog and Other Curious Puzzles (2010); and Set Theory and the Continuum Problem (with Melvin Fitting, also reprinted by Dover in 2010). More will be coming in subsequent years.
In the Author's Own Words:
"Recently, someone asked me if I believed in astrology. He seemed somewhat puzzled when I explained that the reason I don't is that I'm a Gemini."
"Some people are always critical of vague statements. I tend rather to be critical of precise statements: they are the only ones which can correctly be labeled 'wrong.'" — Raymond Smullyan
Critical Acclaim for The Lady or the Tiger:
"Another scintillating collection of brilliant problems and paradoxes by the most entertaining logician and set theorist who ever lived." — Martin Gardner
"Sobre este título" puede pertenecer a otra edición de este libro.
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First-Order Logic
Publicado por
Dover Publications Inc., 2000
ISBN 10: 0486683702
ISBN 13: 9780486683706
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Librería: World of Books (was SecondSale), Montgomery, IL, Estados Unidos de America
Calificación del vendedor: 5 de 5 estrellas
Paperback. Condición: Good. Except for this preface, this study is completely self-contained. It 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. We use the term analytic to apply to any proof procedure which obeys the subformula principle (we think of such a procedure as analysing the formula into its successive components). Gentzen cut-free systems are perhaps the best known example of ana- lytic proof procedures. Natural deduction systems, though not usually analytic, can be made so (as we demonstrated in 3]). In this study, we emphasize the tableau point of view, since we are struck by its simplicity and mathematical elegance. Chapter I is completely introductory. We begin with preliminary material on trees (necessary for the tableau method), and then treat the basic syntactic and semantic fundamentals of propositional logic. We use the term Boolean valuation to mean any assignment of truth values to all formulas which satisfies the usual truth-table conditions for the logical connectives. Given an assignment of truth-values to all propositional variables, the truth-values of all other formulas under this assignment is usually defined by an inductive procedure. We indicate in Chapter I how this inductive definition can be made explicit-to this end we find useful the notion of a formation tree (which we discuss earlier). Nº de ref. del artículo: CIN0486683702G
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First-Order Logic (Dover Books on Mathematics)
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Dover Publications, 1995
ISBN 10: 0486683702
ISBN 13: 9780486683706
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First-Order Logic (Dover Books on Mathematics)
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Dover Publications, 1995
ISBN 10: 0486683702
ISBN 13: 9780486683706
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Condición: acceptable. Used - Acceptable: All pages and the cover are intact, but shrink wrap, dust covers, or boxed set case may be missing. Pages may include limited notes, highlighting, or minor water damage but the text is readable. Item may be missing bundled media. Nº de ref. del artículo: 3O6XBG000S4G_ns
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First-Order Logic
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Dover Publications, 1995
ISBN 10: 0486683702
ISBN 13: 9780486683706
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Paperback. Condición: Fair. No Jacket. Readable copy. Pages may have considerable notes/highlighting. ~ ThriftBooks: Read More, Spend Less. Nº de ref. del artículo: G0486683702I5N00
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First-Order Logic
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ISBN 10: 0486683702
ISBN 13: 9780486683706
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ISBN 10: 0486683702
ISBN 13: 9780486683706
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Librería: Better World Books, Mishawaka, IN, Estados Unidos de America
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First-Order Logic
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Dover Publications Inc., 2000
ISBN 10: 0486683702
ISBN 13: 9780486683706
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Librería: World of Books Inc, Montgomery, IL, Estados Unidos de America
Calificación del vendedor: 4 de 5 estrellas
Paperback. Condición: Good. Except for this preface, this study is completely self-contained. It 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. We use the term analytic to apply to any proof procedure which obeys the subformula principle (we think of such a procedure as analysing the formula into its successive components). Gentzen cut-free systems are perhaps the best known example of ana- lytic proof procedures. Natural deduction systems, though not usually analytic, can be made so (as we demonstrated in 3]). In this study, we emphasize the tableau point of view, since we are struck by its simplicity and mathematical elegance. Chapter I is completely introductory. We begin with preliminary material on trees (necessary for the tableau method), and then treat the basic syntactic and semantic fundamentals of propositional logic. We use the term Boolean valuation to mean any assignment of truth values to all formulas which satisfies the usual truth-table conditions for the logical connectives. Given an assignment of truth-values to all propositional variables, the truth-values of all other formulas under this assignment is usually defined by an inductive procedure. We indicate in Chapter I how this inductive definition can be made explicit-to this end we find useful the notion of a formation tree (which we discuss earlier). Nº de ref. del artículo: CIN0486683702G
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First-Order Logic (Dover Books on Mathematics)
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ISBN 10: 0486683702
ISBN 13: 9780486683706
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Paperback. Condición: Very Good. Connecting readers with great books since 1972! Used books may not include companion materials, and may have some shelf wear or limited writing. We ship orders daily and Customer Service is our top priority! Nº de ref. del artículo: S_486233665
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Paperback. Condición: Very Good. First-order Logic (Dover Books on MaTHEMA 1.4tics) This book is in very good condition and will be shipped within 24 hours of ordering. The cover may have some limited signs of wear but the pages are clean, intact and the spine remains undamaged. This book has clearly been well maintained and looked after thus far. Money back guarantee if you are not satisfied. See all our books here, order more than 1 book and get discounted shipping. Nº de ref. del artículo: 7719-9780486683706
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First-Order Logic
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Dover Publications, New York, NY, 1995
ISBN 10: 0486683702
ISBN 13: 9780486683706
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Paperback. Condición: Good+. Reissue Edition. Dover Books On Mathematics; 5.42 X 0.39 X 8.48 inches; 158 pages; minor markings in the margins on a few pages. Previous owner's name on a prelim page. Minor, faint smudges on the top exterior edge of textblock. Minor shelf wear. Minor creasing on front cover. Good condition otherwise. No other noteworthy defects. ; - Your satisfaction is our priority. We offer free returns and respond promptly to all inquiries. Your item will be packaged with care and ship on the same or next business day. Buy with confidence. Nº de ref. del artículo: HVD-66765-A-0
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