Can you recollect 'giving up' while solving a maths problem, or any problem, recently? What, exactly, led you to make the decision to give up?
Some possible reasons for giving up might include (a combination of):
- running out of ideas / feeling of very little chance of reaching a solution
- lack of time / other things to do
Can you think of others?
Have you shelved a problem that you intend to tackle later, when you are 'ready'? What might being ready mean? Can you recall any problems that you shelved a long time ago?
Supposing that we are able to comprehend a given problem, it seems to me that there is no way of knowing whether we will reach a solution or not.
If we agree that we cannot know whether a given problem is within our reach or not, what is it that leads us to give up?