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Volumn 51, Issue 4, 2010, Pages 475-484

A Natural Model of the Multiverse Axioms

Author keywords

Forcing; Multiverse; Set theory; Zfc

Indexed keywords


EID: 84866064159     PISSN: 00294527     EISSN: 19390726     Source Type: Journal    
DOI: 10.1215/00294527-2010-030     Document Type: Article
Times cited : (27)

References (15)
  • 1
    • 1842441938 scopus 로고
    • An introduction to recursively saturated and resplendent models
    • Barwise, J., and J. Schlipf, “An introduction to recursively saturated and resplendent models,” The Journal of Symbolic Logic, vol. 41 (1976), pp. 531–6.
    • (1976) The Journal of Symbolic Logic , vol.41 , pp. 531-536
    • Barwise, J.1    Schlipf, J.2
  • 2
    • 85035289669 scopus 로고
    • 3d edition, of Studies in Logic and the Foundations of Mathematics, North-Holland Publishing Co., Amsterdam
    • Chang, C. C., and H. J. Keisler, Model Theory, 3d edition, vol. 73 of Studies in Logic and the Foundations of Mathematics, North-Holland Publishing Co., Amsterdam, 1990.
    • (1990) Model Theory , vol.73
    • Chang, C.C.1    Keisler, H.J.2
  • 3
    • 0000313535 scopus 로고
    • Countable models of set theories
    • of Lecture Notes in Mathematics, Springer-Verlag, Berlin
    • Friedman, H., “Countable models of set theories,” pp. 539–73 in Cambridge Summer School in Mathematical Logic (Cambridge, 1971), vol. 337 of Lecture Notes in Mathematics, Springer-Verlag, Berlin, 1973.
    • (1973) Cambridge Summer School in Mathematical Logic (Cambridge, 1971) , vol.337 , pp. 539-573
    • Friedman, H.1
  • 7
    • 59149088487 scopus 로고    scopus 로고
    • Some second order set theory
    • R. Ramanujam and S. Sarukkai, vol. 5378 of Lecture Notes in Computer Science, Springer-Verlag, Berlin
    • Hamkins, J. D., “Some second order set theory,” pp. 36–50 in Logic and Its Applications, edited by R. Ramanujam and S. Sarukkai, vol. 5378 of Lecture Notes in Computer Science, Springer-Verlag, Berlin, 2009.
    • (2009) Logic and Its Applications , pp. 36-50
    • Hamkins, J.D.1
  • 8
    • 0009946735 scopus 로고
    • Some problem in elementary arithmetics
    • Jensen, D., and A. Ehrenfeucht, “Some problem in elementary arithmetics,” Fundamenta Mathematicae, vol. 92 (1976), pp. 223–45.
    • (1976) Fundamenta Mathematicae , vol.92 , pp. 223-245
    • Jensen, D.1    Ehrenfeucht, A.2
  • 9
    • 0003705407 scopus 로고
    • of Oxford Logic Guides, The Clarendon Press, New York
    • Kaye, R., Models of Peano Arithmetic, vol. 15 of Oxford Logic Guides, The Clarendon Press, New York, 1991.
    • (1991) Models of Peano Arithmetic , vol.15
    • Kaye, R.1
  • 10
    • 84959810156 scopus 로고
    • Introduction aux modèles récursivement saturés
    • of Publications Mathématiques de l’Université Paris VII, Université de Paris VII U.E.R. de Mathématiques, Paris
    • Ressayre, J. P., “Introduction aux modèles récursivement saturés,” pp. 53–72 in Séminaire Général de Logique 1983–1984 (Paris, 1983–1984), vol. 27 of Publications Mathématiques de l’Université Paris VII, Université de Paris VII U.E.R. de Mathématiques, Paris, 1986.
    • (1986) Séminaire Général De Logique 1983–1984 (Paris, 1983–1984) , vol.27 , pp. 53-72
    • Ressayre, J.P.1
  • 11
    • 85035284977 scopus 로고
    • of Publications Mathématiques de l’Université Paris VII, Université de Paris VII U.E.R. de Mathématiques, Paris
    • Ressayre, J. P., and A. J. Wilkie, Modèles non Standard en Arithmétique et Théorie des Ensembles, vol. 22 of Publications Mathématiques de l’Université Paris VII, Université de Paris VII U.E.R. de Mathématiques, Paris, 1987.
    • (1987) Modèles Non Standard En Arithmétique Et Théorie Des Ensembles , vol.22
    • Ressayre, J.P.1    Wilkie, A.J.2
  • 12
    • 0009888832 scopus 로고
    • A guide to the identification of admissible sets above structures
    • Schlipf, J. S., “A guide to the identification of admissible sets above structures,” Annals of Pure and Applied Logic, vol. 12 (1977), pp. 151–92.
    • (1977) Annals of Pure and Applied Logic , vol.12 , pp. 151-192
    • Schlipf, J.S.1
  • 14
    • 0000672563 scopus 로고
    • Algebras of sets binumerable in complete extensions of arithmetic
    • American Mathematical Society, Providence, 1
    • Scott, D., “Algebras of sets binumerable in complete extensions of arithmetic,” pp. 117–21 in Proceedings of Symposia in Pure Mathematics, Vol. 5, American Mathematical Society, Providence, 1962.
    • (1962) Proceedings of Symposia in Pure Mathematics , vol.5 , pp. 117-121
    • Scott, D.1
  • 15
    • 10444264819 scopus 로고
    • Recursively saturated nonstandard models of arithmetic
    • Smoryński, C., “Recursively saturated nonstandard models of arithmetic,” The Journal of Symbolic Logic, vol. 46 (1981), pp. 259–86.
    • (1981) The Journal of Symbolic Logic , vol.46 , pp. 259-286
    • Smoryński, C.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.