Since then, I have been constructing mutually-inversistic mathematical logic. Now, itis fully fledged. It includes mutually-inversistic logic, mutually-inversistic mathematics,and their applications. Mutually-inversistic logic includes two calculi and four theoriesof mutual-inversism, mutually-inversistic granular computing, unified logics. Mutually-inversistic mathematics includes mutually-inversistic analytic geometry, mutually-inversistic mathematical analysis, mutually-inversistic abstract algebra, universal matrix.Applications include logic programming (see Part 4), automated theorem proving, planningand scheduling, database, semantic network, expert system, program verification, naturallanguage processing, hardware verification, machine learning, data mining, data warehouse,program refinement, many-valued computer, modern control theory, etc...