The waves in the sea are infinite in number and variety.
But they are not all the same wave and no one wave lasts forever.
My own intuition (for what its worth) tells me that life is ubiquitous, and unique, but it is also temporary. It too is quantized. That is precisely what makes it so precious. It almost has to be this way, because the universe is constantly changing, and it is infinite. Each living thing perceives a different space and time of it, so living things must also be replenished continuously.