Whatever the situation, there will always be a problem.

But what’s most interesting is what this problem is there for.

Most often, sentences that start with “the problem is” are there to name what doesn’t seem to be manageable. The problem thus helps keep the situation as is.

Sentences that start with “the problem I’d like to address” help see a different relationship with the problem. It is there to give the person an indication of what she wants to change and learn from.