indulgence vs indulging

indulgence and indulging both are nouns.

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

As nouns, indulgence and indulging are synonyms defined as:

Other synonyms of indulgence include humoring, humouring, pampering.

indulgence (noun)	indulging (noun)
the act of indulging or gratifying a desire	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