wise man vs intellectual

wise man and intellectual both are nouns.

Word	Noun	Adjective	Verb	Adverb
wise man	Yes	No	No	No
intellectual	Yes	Yes	No	No

As nouns, intellectual is a hypernym of wise man; that is, intellectual is a word with a broader meaning than wise man:

Other hypernyms of wise man include intellect.

wise man (noun)	intellectual (noun)
a wise and trusted guide and advisor	a person who uses the mind creatively

wise man (adjective)	intellectual (adjective)
	appealing to or using the intellect
	involving intelligence rather than emotions or instinct
	of or associated with or requiring the use of the mind