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

Details 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 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

2009-06-18

arxiv.org/abs/0906.3479v2

Mathematics

General Mathematics

35 pages

Scientific paper

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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