metamathematics (Meaning)

Wordnet

metamathematics (n)

the logical analysis of mathematical reasoning

Synonyms & Antonyms of metamathematics

No Synonyms and anytonyms found

metamathematics Sentence Examples

  1. Metamathematics is the study of the foundations and principles of mathematics.
  2. Gödel's incompleteness theorems are important results in metamathematics.
  3. Metamathematics can be used to investigate the limits of proof and computation.
  4. The metamathematical concept of Turing completeness formalizes the notion of computability.
  5. Metamathematical research has shed light on the nature of mathematical truth and objectivity.
  6. Metamathematics complements the study of mathematics by providing a deeper understanding of its logical foundations.
  7. Turing's work on metamathematics laid the groundwork for the development of computer science.
  8. Metamathematical techniques are essential for analyzing the complexity and decidability of mathematical problems.
  9. Metamathematics provides a rigorous framework for exploring the limits and capabilities of mathematical reasoning.
  10. The metamathematical concept of omega consistency plays a crucial role in the study of non-standard models of arithmetic.

FAQs About the word metamathematics

the logical analysis of mathematical reasoning

No synonyms found.

No antonyms found.

Metamathematics is the study of the foundations and principles of mathematics.

Gödel's incompleteness theorems are important results in metamathematics.

Metamathematics can be used to investigate the limits of proof and computation.

The metamathematical concept of Turing completeness formalizes the notion of computability.