higher-order vs well-grounded

higher-order

adj
  • Involving more sophisticated thinking or reasoning. 

  • Of or relating to a class higher up in a hierarchy. 

well-grounded

adj
  • Of an argument, etc.: based on good judgment and solid reasoning. 

  • Of a person: having extensive knowledge of a subject. 

How often have the words higher-order and well-grounded occurred in a corpus of books? (source: Google Ngram Viewer )