I think we are in agreement that the consciousness is tied to the brain. Claiming equivalency is not warranted, though: The brain of a dead person (very probably, I’m sure you’d agree) contains no consciousness. Let’s not dwell on this, though: I am definitely not claiming that consciousness exists outside of the brain, just that asserting physical continuity of the brain is not enough by itself to show continuity of conscious experience.
With regard to the modifications: Your line of reasoning runs into the classic issues of philosophical identity, as shown by the Ship of Theseus thought experiment or simpler yet, the Sorites paradox. We can hypothesize every amount of alterations from just modifying one atom to replacing the entire brain. Given your position, you’d be forced to choose an arbitrary amount of modifications that breaks the continuity and somehow changes consciousness A-modified-somewhat into consciousness B (or stated otherwise: from ‘you waking up a somewhat changed person’ to ‘someone else waking up in your body’).
Approaching conscious experience without the assumption of continuity but from the moment it exists in does not run into this problem.
I think we are in agreement that the consciousness is tied to the brain. Claiming equivalency is not warranted, though: The brain of a dead person (very probably, I’m sure you’d agree) contains no consciousness. Let’s not dwell on this, though: I am definitely not claiming that consciousness exists outside of the brain, just that asserting physical continuity of the brain is not enough by itself to show continuity of conscious experience.
With regard to the modifications: Your line of reasoning runs into the classic issues of philosophical identity, as shown by the Ship of Theseus thought experiment or simpler yet, the Sorites paradox. We can hypothesize every amount of alterations from just modifying one atom to replacing the entire brain. Given your position, you’d be forced to choose an arbitrary amount of modifications that breaks the continuity and somehow changes consciousness A-modified-somewhat into consciousness B (or stated otherwise: from ‘you waking up a somewhat changed person’ to ‘someone else waking up in your body’).
Approaching conscious experience without the assumption of continuity but from the moment it exists in does not run into this problem.