to have to; to be obliged to
You must stop at the lights
She said we must not park outside the house
to be required or necessary
Propaganda, to be effective, must be believed. To be believed, it must be credible. To be credible, it must be true — Hubert Humphrey
to be supposed or likely
It must be lunch time
used to express insistence
You must stay for dinner
used to express certainty, usu in ironic contexts
You must be joking
[Old English moste, past indicative and subjunctive of motan to be allowed to, have to]