Is there a word that describes the condition of thinking about a problem/the solutions to a problem?
For example, when a person has a dilemma, it means he is thinking about choosing between two possible solutions to a problem. Is there a word when there are no available solutions, or more than two?
I would like to avoid words that add unnecessary characteristics to the person, such as "quandary", which from what I can find means that the person is in a state of anxiety or confusion. In my case, the person is just thinking (hard) about the problem.
In Greek, the word I am describing is "προβληματισμός", which as far as I can gather with Google Translate is not translated accurately. OK, I know I can use "problematism" (direct transcribe of the Greek word), but how many English speakers use that?