different between vagueness vs undefined

English

vague +? -ness

vagueness (countable and uncountable, plural vaguenesses)

(uncountable) The condition of being unclear; vague.
(countable) Something which is vague, or an instance or example of vagueness.
- 1857, Thomas Cogswell Upham, Elements of Mental Philosophy, page 329
  If a man's deep and conscientious regard for the truth be such that he cannot, consistently with the requisitions of his moral nature, repeat to others mere vaguenesses and uncertainties, he will naturally give such strict and serious attention to the present objects of inquiry and knowledge, that they will remain in his memory afterward with remarkable distinctness and permanency.

un- +? defined

undefined (not comparable)

Lacking a definition or value.
(mathematics, computing) That does not have a meaning and is thus not assigned an interpretation.
The result of division by zero is undefined.

(lacking a definition or value): indefinite, undefinable; see also Thesaurus:indistinct or Thesaurus:vague

Send