indulge vs indulgence

indulge is not a noun while indulgence is a noun.

Word	Noun	Adjective	Verb	Adverb
indulge	No	No	Yes	No
indulgence	Yes	No	No	No

indulge (noun)	indulgence (noun)
	the act of indulging or gratifying a desire
	foolish or senseless behavior
	the remission by the pope of the temporal punishment in purgatory that is still due for sins even after absolution
	an inability to resist the gratification of whims and desires
	a disposition to yield to the wishes of someone

indulge (verb)	indulgence (verb)
yield (to); give satisfaction to
enjoy to excess
treat with excessive indulgence
give free rein to