given vs disposed

given is a noun but disposed is not a noun.

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

As adjectives, given and disposed are synonyms defined as:

given and disposed: (usually followed by `to') naturally disposed toward

Other synonyms of given include apt, minded, tending.

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

given (adjective)	disposed (adjective)
acknowledged as a supposition	(usually followed by `to') naturally disposed toward
(usually followed by `to') naturally disposed toward	having made preparations