transitivity vs logic

transitivity and logic both are nouns.

Word	Noun	Adjective	Verb	Adverb
transitivity	Yes	No	No	No
logic	Yes	No	No	No

transitivity (noun)	logic (noun)
the grammatical relation created by a transitive verb	the branch of philosophy that analyzes inference
(logic and mathematics) a relation between three elements such that if it holds between the first and second and it also holds between the second and third it must necessarily hold between the first and third	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