coin collecting vs numismatology

coin collecting and numismatology both are nouns.

Word	Noun	Adjective	Verb	Adverb
coin collecting	Yes	No	No	No
numismatology	Yes	No	No	No

As nouns, coin collecting and numismatology are synonyms defined as:

coin collecting and numismatology: the collection and study of money (and coins in particular)

Other synonyms of coin collecting include coin collection, numismatics.

coin collecting (noun)	numismatology (noun)
the collection and study of money (and coins in particular)	the collection and study of money (and coins in particular)