The Non-Platonic View of the Real Numbers

There are different schools of thought on this. I think the analogy with geometry is somewhat illustrative there, right? I mean, you can produce many different models of geometry but we still live in a physical world that has a geometry and maybe that's the geometry that we most care about. But even our understanding of the physical world is greatly enriched by understanding all of these other geometries. And the same is true with set theory. Arriving at that destination is something that surely will not have been possible without all of this exploration that occurs beforehand.