I’m sorry to barge in on the conversation, but I also had the same thought.

However, I believe there is nothing axiomatic about the existence of consciousness: not only is consciousness not “one localized thing” but “a collection of delocalized features”, but there is nothing trivial about it, and I doubt very much that everyone in the room would agree on a single definition of it without getting into semantic quabbles.

Axioms tend to be much simpler.