Drunken Philosophy: Are you really who you think you are? What is the "self"?

I have been studying the question of "self" online with Prof. Ellie Anderson and so I thought a prompt on the "self" might be interesting. Full confession: I had Claude create this prompt and I like it, so here goes:
Imagine a thought experiment that merges two classic puzzles:

> You undergo a procedure, performed neuron by neuron, in which every biological component of your brain is replaced with a functionally identical synthetic substitute. At each step, your behavior, memories, and personality remain unchanged. When the last neuron is swapped, is the consciousness experiencing the world still you? And — more pressingly — was there ever a continuous "you" to begin with?

### Questions to Wrestle With

• If consciousness is purely physical, does the gradual nature of the replacement matter, or is it equivalent to being destroyed and rebuilt?
• Could there be a "self" without continuity of experience — even moment to moment, while you sleep?

On a more practical level, consider the simpler case first: hemispherectomy patients — people who have had an entire cerebral hemisphere surgically removed — often retain a strong sense of personal identity and continuity. This suggests "you" are not rigidly tied to specific physical material. But does that vindicate the synthetic neuron case, or merely show that identity is more flexible than we thought — not that it can survive complete substrate replacement?
I used Claude so I could get this out today and let everyone have some time to consider it. Hope to see you at the Oracle. Sorry about the location change two weeks ago. That's what I get for trusting local weather predictions!