I think that the expression" another way of looking at the world" means that you see the world in a completely different way.
It's like you see it with different eyes and see things that others can't see,for example: seeing what is bad and what is good and making a difference between them while others consider that it's the same thing.
There are many ways of seeing the world in a different way.
It depends on you and your soul but you should always think about it twice and choose the right way.