Apologies.

I have indeed used paradox incorrectly. Your latter definitions are more appropriate. My confusion arose from the apparent possibility, but I see now that 'paradox' would only be correct if my argument also still felt the existence of the zombie was possible.

However, I hope that despite that minor terminology quibble, you were still able to understand the thrust of my argument. If my argument is unclear from the line you quoted, it is worth noting that I explain it in the following paragraphs.