cardinal number vs magnitude

cardinal number

noun
  • A number used to denote quantity; a counting number; a cardinal. 

  • A generalized kind of number used to denote the size of a set, including infinite sets. 

  • A word that expresses a countable quantity; a cardinal numeral. 

magnitude

noun
  • A number, assigned to something, such that it may be compared to others numerically 

  • A measure of the energy released by an earthquake (e.g. on the Richter scale). 

  • An order of magnitude. 

  • The absolute or relative size, extent or importance of something. 

  • Of a vector, the norm, most commonly, the two-norm. 

  • The apparent brightness of a star, with lower magnitudes being brighter; apparent magnitude 

  • A ratio of intensity expressed as a logarithm. 

How often have the words cardinal number and magnitude occurred in a corpus of books? (source: Google Ngram Viewer )