Abstract
God or Buddha, who are fundamental objects in religion, have been traditionally defined as "the Infinite." It is a religious analysis to analyze the consequences of redefining the Infinite of God or Buddha as the infinite in mathematical set theory. The religious philosophy of Kiyozawa Manshi is inevitably a religious analysis. Kiyozawa defined God or Buddha as the Infinite and we human beings as the finite, so as to clarify the difference between the religion of relying on the self and the religion of relying on the other. This article will redefine Kiyozawa's concepts of the Infinite and relying on the self and relying on the other; express these concepts as transfinite ordinal, limit ordinal, and complement of finite ordinal in set theory; and analyse those consequences. Results by analysis are the completeness of God or Buddha and the equipotency of relying on the self to relying on the other.
