Basic Structure of Inconsistent Mathematics

Elemer Elad Rosinger (1)

1 Department of Mathematics and Applied Mathematics [Pretoria]

Contrary to the general awareness, we have been heavily involved in, and also dependent upon, inconsistent mathematics ever since the introduction of electronic digital computers in the 1940s. Here, a basic general structure is presented for various inconsistent mathematical theories. This structure, which is a significant extension of the one in [3], offers one of the effective ways for a safe use of inconsistent mathematical theories.

Domaines: Mathématiques générales [math.GM]; Histoire et perspectives sur les mathématiques [math.HO]; Logique [math.LO]; Physique mathématique [math-ph]

Elemer Elad Rosinger. Basic Structure of Inconsistent Mathematics. 2011. ⟨hal-00552058⟩