Are "impose a problem" and "pose a problem" both correct? If not, why? An example usage I have is:
"We're doing X. This imposes two problems: 1) … 2) …"
However I can't find a credible reference for using the word "impose" this way – only "pose": https://www.collinsdictionary.com/dictionary/english/pose – I'm sure though I've "heard it" 😉 being used that way.
Best Answer
Put simply, that is wrong - you have used "impose" wrongly. The subject of "impose" must have authority over its object.
To impose - to place a burden (or unfavourable conditions) on someone or something.
Transitive: 2020 Greybeard EL&U: "The king imposed a tax on all wine and beer. The king imposed severe punishments on anyone failing to pay the tax."
Intransitive: 2020 Greybeard EL&U: "Can I ask you to drive me to see my mother - I hope I am not imposing on you."
OED