The scenario you have described is people having different beliefs about what the problem is. Or, perhaps, what the cause of the problem is.
For example, let's say there is a problem with young people mugging the elderly in a certain district after dark.
- Alice thinks this is because there aren't enough policemen in the area, and she proposes employing more policemen, or maybe ensuring that policemen patrol that area after dark.
- Bob thinks that the problem is that the young people are bored and don't have anything better to do, so he proposes building a youth centre.
- Whereas Chris thinks that the problem is that young people nowadays don't have any respect for the elderly, and he thinks that the problem can be solved by educating the young people, or forcing them to do community service in an old people's home so that they gain respect for the elderly.
Because Alice, Bob and Chris have different opinions on the cause of the problem, they all think there is a different way to solve it.
Here are a number of ways you could express this concept:
Depending on the way we view the situation, we will offer radically different approaches to this problem.
Alice views the situation differently to Bob. She sees it as a crime problem, and thinks it can be fixed by law enforcement. Bob and Chris both think it is more of a social problem, and both offer solutions to try and stop the young people from wanting to mug the elderly.
Depending on our opinions on the root cause of the problem, we will offer radically different approaches to solving it.
Bob and Chris both agree that the route to the solution is through interaction with the young people themselves. However, they disagree on the root cause. Bob thinks the root cause is boredom and Chris thinks that the root cause is lack of respect. So they both approach the solution in different ways.
Depending on our views on human nature, we will offer radically different approaches to solving this problem.
Alice, Bob and Chris all have different views on human nature. For example, Bob thinks that people are more likely to commit crimes if they don't have anything better to do. This means that he thinks giving them something better to do is a solution to the problem. Chris thinks that people are less likely to commit crimes if they respect the victim, so he thinks that cultivating this respect is a means of prevention. Alice thinks that the way to prevent crimes is simply to provide less opportunities for the crimes to take place, so she thinks that having policemen patrol the area will be a good deterrent. Because of their different views on human nature, they all offer different ways to solve the social problem.