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Titlebook: Course of Mathematical Logic; Volume 2 Model Theor Roland Fra?ssé Book 1974 D. Reidel Publishing Company, Dordrecht, Holland 1974 Equivalen

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書目名稱Course of Mathematical Logic
副標(biāo)題Volume 2 Model Theor
編輯Roland Fra?ssé
視頻videohttp://file.papertrans.cn/240/239174/239174.mp4
叢書名稱Synthese Library
圖書封面Titlebook: Course of Mathematical Logic; Volume 2 Model Theor Roland Fra?ssé Book 1974 D. Reidel Publishing Company, Dordrecht, Holland 1974 Equivalen
描述This book is addressed primarily to researchers specializing in mathemat- ical logic. It may also be of interest to students completing a Masters Degree in mathematics and desiring to embark on research in logic, as well as to teachers at universities and high schools, mathematicians in general, or philosophers wishing to gain a more rigorous conception of deductive reasoning. The material stems from lectures read from 1962 to 1968 at the Faculte des Sciences de Paris and since 1969 at the Universities of Provence and Paris-VI. The only prerequisites demanded of the reader are elementary combinatorial theory and set theory. We lay emphasis on the semantic aspect of logic rather than on syntax; in other words, we are concerned with the connection between formulas and the multirelations, or models, which satisfy them. In this context considerable importance attaches to the theory of relations, which yields a novel approach and algebraization of many concepts of logic. The present two-volume edition considerably widens the scope of the original [French] one-volume edition (1967: Relation, Formule logique, Compacite, Completude). The new Volume 1 (1971: Relation et Formule logique) rep
出版日期Book 1974
關(guān)鍵詞Equivalence; Lemma; compactness theorem; forcing; logic; mathematical logic; model theory; proof; ultrapower
版次1
doihttps://doi.org/10.1007/978-94-010-2097-8
isbn_softcover978-90-277-0510-5
isbn_ebook978-94-010-2097-8Series ISSN 0166-6991 Series E-ISSN 2542-8292
issn_series 0166-6991
copyrightD. Reidel Publishing Company, Dordrecht, Holland 1974
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Forcing,l relation, on the base |R|. The relation S is in a sense “in general position” relative to R. For example, if R is the chain of natural numbers and . = 1, the unary general relation S is + for infinitely many numbers and — for infinitely many numbers; S is + for infinitely many even numbers and — f
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Nancy Drinkmann,Claudio Caballeros. It is clear that any union of open sets is open and the intersection of any two open sets is open, so that this is indeed a topology. The closed sets, or intersections of logical classes, will be called .-..
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https://doi.org/10.1007/978-3-531-90540-2sets E. (.=0, 1, 2,…) may be empty from some . onward. The sequence of restrictions R. = R | E. will be called a . for R. We shall identify R itself with the restrictive sequence defined by E. = E(.=0,1,2,…).
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