proximity vs neighborhood

proximity and neighborhood both are nouns.

Word	Noun	Adjective	Verb	Adverb
proximity	Yes	No	No	No
neighborhood	Yes	No	No	No

As nouns, neighborhood is a hypernym of proximity; that is, neighborhood is a word with a broader meaning than proximity:

Other hypernyms of proximity include locality, neck of the woods, neighbourhood, vicinity.

proximity (noun)	neighborhood (noun)
the property of being close together	people living near one another
a Gestalt principle of organization holding that (other things being equal) objects or events that are near to one another (in space or time) are perceived as belonging together as a unit	a surrounding or nearby region
the region close around a person or thing	an area within a city or town that has some distinctive features (especially one forming a community)
	the approximate amount of something (usually used prepositionally as in `in the region of')