Book Review
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MathSciNet review:
1567308
Full text of review:
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Book Information:
Author:
Saharon Shelah
Title:
Classification theory and the number of non-isomorphic models
Additional book information:
Studies in Logic and the Foundations of Mathematics, Volume 92, North-Holland Publishing Company, Amsterdam-New York, 1978, xvi + 544 pp., $62.25.
J. T. Baldwin and A. H. Lachlan, On strongly minimal sets, J. Symbolic Logic 36 (1971), 79–96. MR 286642, DOI 10.2307/2271517
2. A. H. Lachlan, On the number of countable models of a superstable theory, Internat. Congr. for Logic, Meth. and Philos, of Sci., Bucharest, 1970.
J. Łoś, On the categoricity in power of elementary deductive systems and some related problems, Colloq. Math. 3 (1954), 58–62. MR 61561, DOI 10.4064/cm-3-1-58-62
Michael Morley, Categoricity in power, Trans. Amer. Math. Soc. 114 (1965), 514–538. MR 175782, DOI 10.1090/S0002-9947-1965-0175782-0
Michael Morley, Countable models of $\aleph _{1}$-categorical theories, Israel J. Math. 5 (1967), 65–72. MR 219405, DOI 10.1007/BF02771623
6. C. Ryll-Nardjewski, On theories categorical in power א0, Bull. Acad. Polon. Sci. Cl. III 7 (1959), 545-548.
R. L. Vaught, Denumerable models of complete theories, Infinitistic Methods (Proc. Sympos. Foundations of Math., Warsaw, 1959), Pergamon, Oxford; Państwowe Wydawnictwo Naukowe, Warsaw, 1961, pp. 303–321. MR 0186552
- 1.
- J. T. Baldwin and A. H. Lachlan, On strongly minimal sets, J. Symbolic Logic 36 (1971), 79-96. MR 0286642
- 2.
- A. H. Lachlan, On the number of countable models of a superstable theory, Internat. Congr. for Logic, Meth. and Philos, of Sci., Bucharest, 1970.
- 3.
- J. Łos, On the categoricity in power of elementary deductive systems, Colloq. Math. 3 (1954), 58-62. MR 61561
- 4.
- M. Morley, Categoricity in power, Trans. Amer. Math. Soc. 114 (1965), 514-538. MR 175782
- 5.
- M. Morley, Countable models of א1-categorical theories, Israel J. Math. 5 (1967), 65-72. MR 219405
- 6.
- C. Ryll-Nardjewski, On theories categorical in power א0, Bull. Acad. Polon. Sci. Cl. III 7 (1959), 545-548.
- 7.
- R. L. Vaught, Denumerable models of complete theories (Proc. Sympos. Foundations of Math., Infinitistic Methods, Warsaw), Pergamon Press, Krakow, 1961, pp. 303-321. MR 186552
Review Information:
Reviewer:
John T. Baldwin
Journal:
Bull. Amer. Math. Soc.
4 (1981), 222-229
DOI:
https://doi.org/10.1090/S0273-0979-1981-14891-6