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ℵ0-Complete cardinals and transcendency of cardinals

Published online by Cambridge University Press:  12 March 2014

Kanji Namba
Kanji Namba*
Affiliation:
Tokyo University of Education
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Extract

In this paper, we shall state some results concerning ℵ0-complete cardinals and the transcendency of cardinals which is proposed by G. Takeuti [6]. The main purpose of this paper is to prove the following theorems.

Theorem 1. Let ℵ1, be the first ℵ0-complete cardinal number. Then the transcendency of cardinals holds for Δ11-functions of ℵ1-language.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 32 , Issue 4 , February 1968 , pp. 452 - 472
Copyright
Copyright © Association for Symbolic Logic 1968

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References

REFERENCES

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