Ironically, the problem for many people is the word "problem." Another problem is the volume of definitions.
Here's a few of the better definitions. Perhaps the most common: a complaint, misgiving or objection. One of the most simple: a condition that's not acceptable. One that's more specific to problem solving: a situation, matter or person that presents perplexity or difficulty. A fourth that's aligned with creative problem-solving: A question to be considered, solved or answered.
In The Concept of a Problem, Gene Agre defines a "problem" exactly: The gap between the current state of affairs and the desired state of affairs. If we take Agre’s definition a step further, the problem simply defines what is or might be standing in the way of the goal being achieved. In other words, the ideas must help address, minimise, neutralise or eliminate the problem.
The visual definition of Agre's definition is shown in the side picture. "A" is now, or the current state of affairs. "B" is the future, or the desired state of affairs. The gap between them is both the where the idea lives, and what the idea must bridge. If your ideas don't bridge this gap, you won't solve the problem.
(The Point A – Point B analogy can also be used internally, within organizations. If Point A is today’s business environment, and Point B is the business goal or project objective, the gap are the issues which need to be addressed in-house before any external programme can commence. For example, a lack of logistical infrastructure or operational resources, limited communications between departments, delayed product delivery, no effective sales training.
The problem can range anywhere from simple to devastating. For example, if launching a new product, the problem may be nothing more than the target audience has never heard of it or the company. Or, it might be anger or hatred if the target audience believes an organisation caused a major injustice, committed a crime, been immoral, or feels betrayed. Another type of problem is arguably the most difficult of all to solve: apathy – the audience doesn’t care.
The problem may be nothing more than a wish or desire. For example, a parent may wish to save time cooking so he/she can spend more time with the children. An executive may wish for one gadget to simplify their diary.
Ultimately, the final point: when you know what the problem is, you will be more creative at finding a possible solution.