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Course in Mathematical Logic

Door Yu. I. Manin

Categorie	Algemeen wetenschap
Boeknummer	#343598-ZA31
Titel	Course in Mathematical Logic
Auteur	Manin, Yu. I.
Boektype	Gebonden hardcover
Uitgeverij	New York : Springer-Verlag
Jaar van uitgave	1977
ISBN10	0387902430
ISBN13	9780387902432
Taal	Engels
Beschrijving	Original boards, illustrated with numerous equations and diagrams, 8vo. Graduate texts in mathematics, 53.
Samenvatting	This book is above all addressed to mathematicians. It is intended to be a textbook of mathematical logic on a sophisticated level, presenting the reader with several of the most significant discoveries of the last ten or fifteen years. These include: the independence of the continuum hypothe sis, the Diophantine nature of enumerable sets, the impossibility of finding an algorithmic solution for one or two old problems. All the necessary preliminary material, including predicate logic and the fundamentals of recursive function theory, is presented systematically and with complete proofs. We only assume that the reader is familiar with "naive" set theoretic arguments. In this book mathematical logic is presented both as a part of mathe matics and as the result of its sel... (Lees verder)f-perception. Thus, the substance of the book consists of difficult proofs of subtle theorems, and the spirit of the book consists of attempts to explain what these theorems say about the mathematical way of thought. Foundational problems are for the most part passed over in silence. Most likely, logic is capable of justifying mathematics to no greater extent than biology is capable of justifying life. 2. The first two chapters are devoted to predicate logic. The presenta tion here is fairly standard, except that semantics occupies a very domi nant position, truth is introduced before deducibility, and models of speech in formal languages precede the systematic study of syntax.
Pagina's	286
Conditie	Goed — Corners worn, name in pen on title page.
Prijs	€ 15,00

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