Bermudez on self-consciousness

I argue that Jose Luis Bermudez has not shown that there is a paradox in our concept of self-consciousness. The deflationary theory is not a plausible theory of self-consciousness, so its paradoxicality is irrelevant. A more plausible theory, 'the simple theory', is not paradoxical. However, I do think there is a puzzle about the connection between self-consciousness and 'I'- thoughts.