minded vs given

minded is not a noun while given is a noun.

Word	Noun	Adjective	Verb	Adverb
minded	No	Yes	No	No
given	Yes	Yes	No	No

As adjectives, minded and given are synonyms defined as:

Other synonyms of minded include apt, disposed, tending.

minded (noun)	given (noun)
	an assumption that is taken for granted

minded (adjective)	given (adjective)
(used in combination) mentally oriented toward something specified	acknowledged as a supposition
(usually followed by `to') naturally disposed toward	(usually followed by `to') naturally disposed toward