Paraconsistent second order arithmetic Z#2 based on the paraconsistent logic LP# with infinite hierarchy levels of contradiction. Berry's and Richard's inconsistent numbers within Z#2
Abstract
In this paper paraconsistent second order arithmetic Z#2 with unrestricted comprehension scheme is proposed. We outline the development of certain portions of paraconsistent mathematics within paraconsistent second order arithmetic Z#2.In particular we defined infinite hierarchy Berry's and Richard's inconsistent numbers as elements of the paraconsistent field R#.
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