continuous vs infinite

continuous

adj
  • Without stopping; without a break, cessation, or interruption. 

  • Expressing an ongoing action or state. 

  • Not deviating or varying from uniformity; not interrupted; not joined or articulated. 

  • Such that, for every x in the domain, for each small open interval D about f(x), there's an interval containing x whose image is in D. 

  • Without intervening space; continued. 

  • Such that each open set in the target space has an open preimage (in the domain space, with respect to the given function). 

infinite

adj
  • Boundless, endless, without end or limits; innumerable. 

  • Infinitely many. 

  • Having infinitely many elements. 

  • Not limited by person or number. 

  • Indefinably large, countlessly great; immense. 

  • Greater than any positive quantity or magnitude; limitless. 

  • Capable of endless repetition; said of certain forms of the canon, also called perpetual fugues, constructed so that their ends lead to their beginnings. 

num
  • Infinitely many. 

noun
  • Something that is infinite in nature. 

  • A combo that can be used repeatedly without interruption. 

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