derive vs system of logic

derive is not a noun while system of logic is a noun.

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

derive (noun)	system of logic (noun)
	a system of reasoning

derive (verb)	system of logic (verb)
develop or evolve from a latent or potential state
obtain from a particular source
reason by deduction; establish by deduction
obtain
come from; be connected by a relationship of blood, for example