- Prove that every subgroup of index $2$ is normal.
- Evaluate this integral: $\displaystyle\int_0^1 x^2 \, dx.$
If a question like that is posted, one suspects that the poster copied it from a homework assignment without even understanding what the question says. I have the impression that that is why "context" is asked for.
However, suppose it says:
- How can I prove that blah blah blah.
and "blah blah blah" is a proposition that is easily, routinely, and quickly seen to be mistaken. That sort of thing seems unlikely to be a stenographically transcribed homework problem. Should the need for "context" apply in the same way and to the same degree in such a case?