numismatology vs coin collecting

numismatology and coin collecting both are nouns.

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

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

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

Other synonyms of numismatology include coin collection, numismatics.

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