metamathematics
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meta·math·e·mat·ics

noun plural but usually singular in construction \ˈme-tə-ˌmath-ˈma-tiks, -ma-thə-\

Definition of METAMATHEMATICS

: a field of study concerned with the formal structure and properties (as the consistency and completeness of axioms) of mathematical systems
meta·math·e·mat·i·cal \-ti-kəl\ adjective

First Known Use of METAMATHEMATICS

circa 1890

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