system of logic vs logic

system of logic and logic both are nouns.

Word	Noun	Adjective	Verb	Adverb
system of logic	Yes	No	No	No
logic	Yes	No	No	No

As nouns, system of logic and logic are synonyms defined as:

Other synonyms of system of logic include logical system.

system of logic (noun)	logic (noun)
a system of reasoning	the branch of philosophy that analyzes inference
	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