Yes, you will not be able to "define" consciousness. However, you can point to it, so others can get it. It is on the basis of that discovery of consciousness that we can say it is independent. And yes, modern/western science has it backwards. Consciousness does not depend on the brain or body, these are events in consciousness.
A simple book that can help you get it is The Power of Now by Tolle. Science assumes that consciousness depends on the brain, we often take these assumptions to be facts.