unboundedness vs infinitude

unboundedness and infinitude both are nouns.

Word	Noun	Adjective	Verb	Adverb
unboundedness	Yes	No	No	No
infinitude	Yes	No	No	No

As nouns, unboundedness and infinitude are synonyms defined as:

unboundedness and infinitude: the quality of being infinite; without bound or limit

Other synonyms of unboundedness include boundlessness, infiniteness, limitlessness.

unboundedness (noun)	infinitude (noun)
the quality of being infinite; without bound or limit	the quality of being infinite; without bound or limit
	an infinite quantity