logic vs common sense

logic and common sense both are nouns.

Word	Noun	Adjective	Verb	Adverb
logic	Yes	No	No	No
common sense	Yes	No	No	No

As nouns, common sense is a hypernym of logic; that is, common sense is a word with a broader meaning than logic:

Other hypernyms of logic include good sense, gumption, horse sense, mother wit, sense.

logic (noun)	common sense (noun)
the branch of philosophy that analyzes inference	sound practical judgment
a system of reasoning
reasoned and reasonable judgment
the principles that guide reasoning within a given field or situation
the system of operations performed by a computer that underlies the machine's representation of logical operations