By the time children today are old enough to die from natural causes, we'll have a cure for that.
At some point I think we will 'cure' cellular senescence. Then humans can stay physically in their prime, indefinitely. But there are other limits, like memory. Because memories require physical space, there is only room for a limited amount.
I think we can get past that either naturally, by overwriting old memories, or artificially, by augmenting memory with technology. Research is already looking at brain augmentation with electronics.
So what will be the ultimate limit? Or will humans achieve immortality?
The lines get so blurred that it's difficult to use some terms. The difference between treating a simple injury or sickness and doing a head transplant is only a difference of degree. At some point there is a line that gets crossed, but I'm not sure there's an objective way to locate that line.
I'm also not sure it really matters.
Nature has been removed from the equation, and morality is subjective and malleable.
For today, I appoint us as official Philosophers then.
I would love to know what a thousand year old person thinks about. I have doubt the mind could cope with that amount of experience without some form of augmentation. More than just running out of room for new memories, I think other aspects of 'thinking' would grow beyond the infrastructures ability to work with it.
So I guess I think that if we stay 100% organic, our brains will begin to malfunction and turn to mush. So no immortality, except as a retard or vegetable.
But Cyber-human 2.0 could be the next dominant lifeform on the planet, and it could potentially live forever.