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pure mathematics vs metamathematics

metamathematics vs pure mathematics

pure mathematics and metamathematics both are nouns.

Word NounAdjectiveVerbAdverb
pure mathematics Yes No No No
metamathematics Yes No No No
As nouns, metamathematics is a hyponym of pure mathematics; that is, metamathematics is a word with a more specific, narrower meaning than pure mathematics:
  • pure mathematics: the branches of mathematics that study and develop the principles of mathematics for their own sake rather than for their immediate usefulness
  • metamathematics: the logical analysis of mathematical reasoning
pure mathematics (noun) metamathematics (noun)
the branches of mathematics that study and develop the principles of mathematics for their own sake rather than for their immediate usefulness the logical analysis of mathematical reasoning
Difference between pure mathematics and metamathematics

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