logic vs synthetical

logic is a noun but synthetical is not a noun.

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

logic (noun)	synthetical (noun)
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

logic (adjective)	synthetical (adjective)
	involving or of the nature of synthesis (combining separate elements to form a coherent whole) as opposed to analysis
	of a proposition whose truth value is determined by observation or facts