“Today we see a human population of over 6 billion people, many of whom have serious medical conditions, which either can't be treated or cannot be treated economically.”
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Because of technological limits, there is a certain amount of food that we can produce per acre. If we were to have intensive greenhouse agriculture, we could have much higher production.
Nanotechnology will let us build computers that are incredibly powerful. We'll have more power in the volume of a sugar cube than exists in the entire world today.
The laws of physics should allow us to arrange things molecule by molecule and even atom by atom, and at some point it was inevitable that we would develop a technology that would let us do this.
Disease and ill health are caused largely by damage at the molecular and cellular level, yet today's surgical tools are too large to deal with that kind of problem.