show vs demonstrate

show is a noun but demonstrate is not a noun.

Word	Noun	Adjective	Verb	Adverb
show	Yes	No	Yes	No
demonstrate	No	No	Yes	No

As verbs, show and demonstrate are synonyms defined as:

show and demonstrate: establish the validity of something, as by an example, explanation or experiment

Other synonyms of show include establish, prove, shew.

As verbs, demonstrate is a hyponym of show; that is, demonstrate is a word with a more specific, narrower meaning than show:

show: provide evidence for
demonstrate: provide evidence for; stand as proof of; show by one's behavior, attitude, or external attributes

Other hyponyms of show include attest, certify, evidence, manifest, presume, abduce, adduce, cite.

As verbs, demonstrate is a hyponym of show; that is, demonstrate is a word with a more specific, narrower meaning than show:

As verbs, show and demonstrate are synonyms defined as:

Other synonyms of show include demo, exhibit, present.

show (noun)	demonstrate (noun)
an act or social event involving a public performance or entertainment
pretending that something is the case in order to make a good impression
something intended to communicate a particular impression

show (verb)	demonstrate (verb)
establish the validity of something, as by an example, explanation or experiment	establish the validity of something, as by an example, explanation or experiment
provide evidence for	provide evidence for; stand as proof of; show by one's behavior, attitude, or external attributes
indicate a place, direction, person, or thing; either spatially or figuratively	give an exhibition of to an interested audience
give expression to	march in protest; take part in a demonstration
give evidence of, as of records
indicate a certain reading; of gauges and instruments
finish third or better in a horse or dog race
show in, or as in, a picture
take (someone) to their seats, as in theaters or auditoriums
make visible or noticeable
be or become visible or noticeable
give an exhibition of to an interested audience