[arithmomachist]

Nuclear definitely should be paired with energy sources like wind and photovoltaics. These sources are aren't consistent, so you need something to balance the load at night or when the wind isn't blowing. I find it hard to imagine another non-carbon energy source that could fill that role aside from nuclear energy.

Disposing of nuclear waste is certainly a difficult problem, since it requires designing structures to last longer than recorded history up to this point. There is at least one good answer to this problem that's under construction now in Finland, called Onkalo. The issue of nuclear waste disposal seems to be as much a political as an engineering problem. People don't want to have a nuclear waste dump anywhere near them, because they justifiably don't trust the government or industry to build it so that it works.