metamathematics

noun

meta·​math·​e·​mat·​ics ˈme-tə-ˌmath-ˈma-tiks 

-ma-thə-

plural in form but usually singular in construction

: a field of study concerned with the formal structure and properties (such as the consistency and completeness of axioms) of mathematical systems

metamathematical

ˈme-tə-ˌmath-ˈma-ti-kəl 

adjective

Word History

Etymology

meta- + mathematics

First Known Use

circa 1890, in the meaning defined above