Published: 1978 Received: May 22, 1976Available on J-STAGE: October 20, 2006Accepted: -
Advance online publication: -
Revised: -
Correction information
Date of correction: October 20, 2006Reason for correction: -Correction: CITATIONDetails: Wrong : 1) W. Ackermann, Zur Axiomatik der Mengenlehre, Math. Ann., 131 (1956), 336-345. 2) M. Hanazawa, On replacement schemas in Ackermann's set theory, Sci. Rep. Saitama Univ. Ser. A, 8 (1975), 25-28. 3) A. Levy, On Ackermann's set theory, J. Symbolic Logic, 24 (1959), 154-166. 4) A. Levy and R. L. Vaught, Principles of partial reflection in the set theories of Zermelo and Ackermann, Pacific J. Math., 11 (1961), 1045-1062. 5) W. Reinhardt, Ackermann's set theory equals ZF, Ann. Math. Logic, 2 (1970), 189-249. 6) G. Takeuti, Construction of the set theory from the theory of ordinal numbers, J. Math. Soc. Japan, 6 (1954), 196-220. 7) G. Takeuti, On the theory of ordinal numbers, II. Math. Soc. Japan, 9 (1957), 93-113. 8) G. Takeuti, On the theory of ordinal numbers, II, J. Math. Soc. Japan, 10 (1958), 106-120. 9) G. Takeuti, A formalization of the theory of ordinal numbers, J. Symbolic Logic, 30 (1965), 295-317. 10) M. Yasugi, Interpretations of set theory and ordinal number theory, J. Symbolic Logic, 32 (1967), 145-161.
Right : [1] W. Ackermann, Zur Axiomatik der Mengenlehre, Math. Ann., 131 (1956), 336-345. [2] M. Hanazawa, On replacement schemas in Ackermann's set theory, Sci. Rep. Saitama Univ. Ser. A, 8 (1975), 25-28. [3] A. Levy, On Ackermann's set theory, J. Symbolic Logic, 24 (1959), 154-166. [4] A. Levy and R. L. Vaught, Principles of partial reflection in the set theories of Zermelo and Ackermann, Pacific J. Math., 11 (1961), 1045-1062. [5] W. Reinhardt, Ackermann's set theory equals ZF, Ann. Math. Logic, 2 (1970), 189-249. [6] G. Takeuti, Construction of the set theory from the theory of ordinal numbers, J. Math. Soc. Japan, 6 (1954), 196-220. [7] G. Takeuti, On the theory of ordinal numbers, J. Math. Soc. Japan, 9 (1957), 93-113. [8] G. Takeuti, On the theory of ordinal numbers, II, J. Math. Soc. Japan, 10 (1958), 106-120. [9] G. Takeuti, A formalization of the theory of ordinal numbers, J. Symbolic Logic, 30 (1965), 295-317. [10] M. Yasugi, Interpretations of set theory and ordinal number theory, J. Symbolic Logic, 32 (1967), 145-161.
Date of correction: October 20, 2006Reason for correction: -Correction: PDF FILEDetails: -