No memory in the system (between old and new), no problem. No
paradox. We're the missing link. Our memory. Oh and the naming
thing. "What's in a name?" Context answers it easily enough. One
context, same ship. Another context, different ship. Metaphor
for continual self-renewal of self as we're the same people we
were once, yet entirely different, both physically and
psychologically. But if there was no history, no memory, no
records... well.. there's be no old and no new. It would simply
"be". Paradox resolved via amnesia. Not that you asked 'cause
you didn't but I always answer my own questions, even when I'm
answering someone else's. If it happens to resemble an answer
they wanted to see, well, huzzah