One of the aspects of transhumanism regarding the preservation of the brain is the ability to "upload" a brain into a computer, thus ridding oneself of the body and all the baggage that comes with it.
However, how does consciousness fit into this? In order to discuss this, I thought it'd be helpful to consider another philosophical problem, the ship of Theseus. You probably already know it, but for those who don't, the question is if you replace parts of a ship over time until none of the original ship is left, is the end product still the same ship?
It's an interesting problem. However, what if we apply it to the brain? Suppose we could create artificial neurons and replace neurons in the brain as they went bad. Eventually the brain would be completely artificial, so is it still the same brain? Is it still "you," whatever that means?
The difference between this question and the ship of Theseus is that the brain seemingly has a continuous string of consciousness. If the end product is not the same brain, then at some point it would stand to reason that consciousness was interrupted. That would certainly be the case if we were to simply upload the brain into a premade computer and then destroy the original, but both situations have the same end result.
The problem is we are unable to determine whether or not the consciousness we observe is the same as before externally. The new brain would have the same memories and experiences as the first, so to an outsider would be the same person.
Moreover, this happens naturally all the time. Certain neurons are replaced if damaged, and even for the ones that aren't, atoms and molecules and subatomic particles move all the time. Your brain is not the same brain of even a decade ago, so how is it that consciousness can be seemingly continuous if the brain is not the same as it was?
The point of this discussion is to explore the nature of consciousness, namely what it means in connection to the biological components of the brain and how the identity of self relates to the physical parts of the brain.