Skip to main content
metamathematics

metamathematics

9.9
The study of the basic ideas and methods of math using logic
  • noun
  • /ˌmɛtəˌmæθəˈmætɪks/
  • Specialized
translation icon : metamatemáticas
  • The results of metamathematics have profound implications for the limits of mathematical proof.

Examples

  • Courses in metamathematics are often required for advanced degrees in logic and philosophy.

  • He devoted his career to the study of metamathematics and the consistency of mathematical systems.

  • The field of metamathematics is crucial for understanding mathematical logic.

  • Do you think metamathematics will change how we view mathematics?

  • Courses in metamathematics are often required for advanced degrees in logic and philosophy.

  • He devoted his career to the study of metamathematics and the consistency of mathematical systems.

  • The results of metamathematics have profound implications for the limits of mathematical proof.

Synonyms

mathematical logic
vsmetamathematics
  • Specialized
1 6.4

A part of math that studies rules and proofs about statements

focuses on foundations and methods of mathematics using formal logical analysis

How Theoretical

metamathematics
  • Specialized
9.9
information theory
  • Specialized
1 4.9
information science
  • Specialized
1 3.8
information technology
  • Specialized
25 3.5

Surface Forms

Morphology

metamathematics = mathematics (semi-transparent) = meta + mathematics

The word is clearly built from meta- plus mathematics, but the prefix is specialized and the overall meaning is more technical than fully predictable for an average learner.

Etymology

Metamathematics comes from the prefix meta- meaning 'about' or 'beyond', as in metadata ('data about data'), and mathematics meaning 'math'. So it literally means 'math about math', the study of the basic ideas and rules of mathematics itself.