訂正日: 2006/09/29訂正理由: -訂正箇所: 引用文献情報訂正内容: Wrong : 1) K. Schütte, Beweistheorie, Springer, (1960), pp. x+355. 2) J. Shoenfield, On a restricted ω-rule, Bull. Acad. Polon. Sci., Sér. Sci. Math. Astr. Phys., 7 (1959), 405-407. 3) M. Takahashi, A theorem on second order arithmetic with the ω-rule, J. Math. Soc. Japan, 22 (1970), 15-24. 4) G. Takeuti, Ordinal diagrams II, J. Math. Soc. Japan, 12 (1960), 385-391. 5) G. Takeuti, Consistency proofs of subsystems of classical analysis, Ann. of Math., 86 (1967), 299-348. 6) G. Takeuti, The Π11-comprehension schema and ω-rules, Lecture Notes in Mathematics, 70 (1968), Proceedings of the Summer School in Logic, pp. 303-330.
Right : [1] K. Schütte, Beweistheorie, Springer, (1960), pp. x+355. [2] J. Shoenfield, On a restricted ω-rule, Bull. Acad. Polon. Sci., Sér. Sci. Math. Astr. Phys., 7 (1959), 405-407. [3] M. Takahashi, A theorem on second order arithmetic with the ω-rule, J. Math. Soc. Japan, 22 (1970), 15-24. [4] G. Takeuti, Ordinal diagrams II, J. Math. Soc. Japan, 12 (1960), 385-391. [5] G. Takeuti, Consistency proofs of subsystems of classical analysis, Ann. of Math., 86 (1967), 299-348. [6] G. Takeuti, The Π11-comprehension schema and ω-rules, Lecture Notes in Mathematics, 70 (1968), Proceedings of the Summer School in Logic, pp. 303-330.