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140122 ||| eng |
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|a 9781468494525
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| 100 |
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|a Monk, J.D.
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| 245 |
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|a Mathematical Logic
|h Elektronische Ressource
|c by J.D. Monk
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| 250 |
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|a 1st ed. 1976
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| 260 |
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|a New York, NY
|b Springer New York
|c 1976, 1976
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| 300 |
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|a X, 532 p
|b online resource
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| 505 |
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|a Interdependence of sections -- I Recursive Function Theory -- I. Turing machines -- 2. Elementary recursive and primitive recursive functions -- 3. Recursive functions; Turing computability -- 4. Markov algorithms -- 5. Recursion theory -- 6. Recursively enumerable sets -- 7. Survey of recursion theory -- II Elements of Logic -- 8. Sentential logic -- 9. Boolean algebra -- 10. Syntactics of first-order languages -- 11. Some basic results of first-order logic -- 12. Cylindric algebras -- III Decidable and Undecidable Theories -- 13. Some decidable theories -- 14. Implicit definability in number theories -- 15. General theory of undecidability -- 16. Some undecidable theories -- 17. Unprovability of consistency -- IV Model Theory -- 18. Construction of models -- 19. Elementary equivalence -- 20. Nonstandard mathematics -- 21. Complete theories -- 22. The interpolation theorem -- 23. Generalized products -- 24. Equational logic -- 25. Preservation and characterization theorems -- 26. Elementary classes and elementary equivalence -- 27. Types -- 28. Saturated structures -- V Unusual Logics -- 29. Inessential variations -- 30. Finitary extensions -- 31. Infinitary extensions -- Index of symbols -- Index of names and definitions
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| 653 |
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|a Mathematical logic
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| 653 |
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|a Mathematical Logic and Foundations
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| 041 |
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7 |
|a eng
|2 ISO 639-2
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| 989 |
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|b SBA
|a Springer Book Archives -2004
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| 490 |
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|a Graduate Texts in Mathematics
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| 028 |
5 |
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|a 10.1007/978-1-4684-9452-5
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| 856 |
4 |
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|u https://doi.org/10.1007/978-1-4684-9452-5?nosfx=y
|x Verlag
|3 Volltext
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| 082 |
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|a 511.3
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| 520 |
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|a From the Introduction: "We shall base our discussion on a set-theoretical foundation like that used in developing analysis, or algebra, or topology. We may consider our task as that of giving a mathematical analysis of the basic concepts of logic and mathematics themselves. Thus we treat mathematical and logical practice as given empirical data and attempt to develop a purely mathematical theory of logic abstracted from these data." There are 31 chapters in 5 parts and approximately 320 exercises marked by difficulty and whether or not they are necessary for further work in the book
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