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We've never created a dinosaur in the lab like they did in Jurassic Park, does that mean no dinosaurs were ever spontaneously born?We're talking about one amoebae - try to make just one.
Sorry I mentioned the Simulation hypothesis - it's a red herring. It's not important.
>We have to rely on the properties of large stochastic systems, nearly unfathomable timeframes, and extremely rare events to explain most of the world we see around us today.
This is if you want things to happen by chance in a myriad of different environments (acidic, basic, oxidizing...) then we think that a few billion years is enough. But in a lab settings, you can get things just right and coerce the reactions you want. Even then, controlling everything, we have know idea how we could do it. If you know a molecular or evolutionary biologist who disagrees, I'd love to talk with them.
And these time frames are very fathomable - big, but things we can put our head around. We can talk about the physics and dynamics of the universe, the great expansion, etc. It's not something that's beyond us. Making diamonds naturally is a long, multi-million/billion year process. But now we can make them in the lab. With cells, we're talking about a similar time frame but something vastly more complicated.
As I said, when I look at the science/math I don't see any current models of abiogenesis (RNA world, protocells, etc.) as remotely viable. IMO, the only reason for a to hold on to this approach is because the alternatives are untenable. I'm open to hearing other approaches - proving or denying abiogenesis does not threaten my worldview.