Definition

This is a field of study in mathematics that focuses on the foundations, logic, and consistency of mathematical theories and proofs.

Example

Metamathematics helps mathematicians understand the principles behind mathematical reasoning.

Conversation

Have you ever heard of metamathematics?

I think I read about it in a math class once.

It's really interesting how it analyzes the foundations of math.

Yeah, it makes you think about how we prove things mathematically!

Synonyms & Antonyms

Root Explanation

Metamathematics is formed from "meta-" (meaning beyond or transcending) and "mathematics" (from Greek "mathematike", meaning the science of learning or knowledge). The term refers to the study of the foundations and implications of mathematics, going beyond the subject itself.

Memory Tip

Think of 'meta-' meaning beyond, and 'mathematics' as the study of numbers and logic. This helps you remember that metamathematics is about studying the principles that go beyond just mathematics.

Visually Confused Words