Arithmetical extensions of relational systems

Alfred Tarski; Robert L. Vaught

Compositio Mathematica (1956-1958)

  • Volume: 13, page 81-102
  • ISSN: 0010-437X

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Tarski, Alfred, and Vaught, Robert L.. "Arithmetical extensions of relational systems." Compositio Mathematica 13 (1956-1958): 81-102. <http://eudml.org/doc/88848>.

@article{Tarski1956-1958,
author = {Tarski, Alfred, Vaught, Robert L.},
journal = {Compositio Mathematica},
keywords = {philosophy and foundations of mathematics},
language = {eng},
pages = {81-102},
publisher = {Kraus Reprint},
title = {Arithmetical extensions of relational systems},
url = {http://eudml.org/doc/88848},
volume = {13},
year = {1956-1958},
}

TY - JOUR
AU - Tarski, Alfred
AU - Vaught, Robert L.
TI - Arithmetical extensions of relational systems
JO - Compositio Mathematica
PY - 1956-1958
PB - Kraus Reprint
VL - 13
SP - 81
EP - 102
LA - eng
KW - philosophy and foundations of mathematics
UR - http://eudml.org/doc/88848
ER -

References

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  9. A. Mostowski, [9] On direct products of theories. Journal of Symbolic Logic, vol. 17, 1-31 (1952). Zbl0047.00704MR47574
  10. A. Robinson, [10] On the metamathematics of algebra. IX + 195 pp. (Amsterdam, 1951). Zbl0043.24702MR46322
  11. R. Sikorski, [11] Products of abstract algebras. Fundamenta Mathematicae, vol. 39, 211-228 (1952). Zbl0050.02704MR53913
  12. T. Skolem, [12] Logisch-kombinatorisch Untersuchungen über die Erfüllbarkeit oder Beweisbarkeit mathematischer Sätze nebst einem Theoreme über dichte Mengen. Skrifter utgitt av Videnskapsselskapet i Kristiania, I. Matematisk-naturvidenskabelig klasse, number 4, 36 pp. (1920). Zbl48.1121.01JFM48.1121.01
  13. T. Skolem, [13] Über einige Grundlagenfragen der Mathematik. Skrifter utgitt av Det Norske Videnskaps-Akademi i Oslo, I. Matematisk-naturvidenskabelig klassc, number 4, 49 pp. (1929). JFM55.0031.03
  14. A. Tarski, [14] Der Wahrheitsbegriff in den formalisierten Sprachen. Studia Philosophica, vol. 1, 261—404 (1936). JFM62.1051.05
  15. A. Tarski, [15] Grundzüge des Systemkalküls. Part II, Fundamenta Mathematicae, vol. 26, 281-301 (1936). Zbl0014.38701JFM62.0038.02
  16. A. Tarski, [16] Some notions and methods on the borderline of algebra and metamathematics. Proceedings of the International Congress of Mathematicians, Providence, R. I., vol. 1, 705—720 (1952). Zbl0049.00702
  17. A. Tarski, [17] Contributions to the theory of models. Parts I and II, Indagationes Mathematicae, vol. 16, 572-588 (1954); part III, ibidem, vol. 17, 56-64 (1955). Zbl0058.24702MR66303
  18. A. Tarski, A. Mostowski and R. Robinson, [18] Undecidable theories. XII + 98 pp. (Amsterdam, 1953). Zbl0053.00401MR58532
  19. R. Vaught, [19] Topics in the theory of arithmetical classes and boolean algebras. Doctoral dissertation, University of California, Berkeley (1954, unpublished). 
  20. R. Vaught, [20] Applications of the Löwenheim-Skolem-Tarski theorem to problems of completeness and decidability. Indagationes Mathematicae, vol. 16, 467—472 (1954). Zbl0056.24802
  21. R. Vaught, [21] On the arithmetical equivalence of free algebras. Bulletin of the American Mathematical Society, vol. 61, pp. 173—174 (1955). 
  22. R. Vaught, [22] On the Axiom of Choice and some metamathematical theorems. Bulletin of the American Mathematical Society, vol. 62, pp. 262—263 (1956). 

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