Abstract properties of mathematics / geometry are true no matter the laws of physics.
A cell only has to evolve a voltage gated ion channel and it gets a truth-table for free.
michael levin’s take: There is such a space not just for mathematics, but also for kinds of minds, and life is good at exploiting it. This is not a random space, where interesting / usefull emergent properties just so pop up from time to time, but it’s structured, it is incredibly vast, and we should map it, otherwise we just end up with a grab-bag, a catalog of things that hold. We need to assume there is a causal structure to it.

Plato was not actually an idealist in the sense that he believed that conscious or mental experience is primary.

Plato takes these ideal forms as starting points. The ideal table is sometimes given as an example, but that’s probably not a core arcchetype of the universe or of god itself, but tables are created by human beings in particular cultural contexts, and they are an archetype in our perception. The way in which we classify the world, there is something like an ideal table. The forms that Plato is talking about are actually dimensions in an embedding space. In some of his texts, he alludes to a world outside of our perception, our mental construction that we experience, and that world is an outside [of our?] simulated world that is isomorphic to the world that we experience in these forms.

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A table is defined by its shape and material. So in the space of shapes and materials, there’s a region we’d classify as a table. The space is outside of our perception, but specific instantiations are made real by our thoughts and actions.


platonism
latent space