Do we have souls?

[Frodo]

No.  Soul is a word that describes our sense of self which is a product of our biology.

But, once you're dead or braindead even, it's over.  Whatever it is that was you is 100% gone forever.  That's the only conclusion I can draw.   

Believing in a soul that outlives your brain is just wishful thinking and flattering yourself. 

That has to be the most depressing outlook on death that I have ever read.