What Is Real?

What is real?
Is it only what we can smell, taste, hear, see, or feel?
Are things only real if they can be examined through logic and mathematics, or do experiences also count as part of reality?

And what about our consciousness and our experience of self?
Is there a separate “me” that senses, feels, thinks, and observes?
Or could that, too, be just another feeling — something created by the brain as it interprets incoming sensory input?