Is This Really Real?

In every field, whether it's mathematics or logic or physics, as the science advances far enough, we come across tremendous paradoxes. The things are not what they seem. We seem to be you. Now there's this world out there. We are experiencing this world. This is not me. This is me. I am this being within this in a body of flesh and blood,. A subject and an object, an individual and the world. And this is how we experience life. But is this really so? Vedanteses considered the dream example. In the dream example, what happens when we dream?