We can definitely solve this problem for real agents, but the reason why I find this problem so perplexing is because of the boundary issue that it highlights. Imagine that we have an actual infinite number of people. Color all the finite placed people red and the non-finite placed people blue. Everyone one t the right of a red person should be red and everyone one to the left of blue person should be blue. So what does the boundary look like? Sure we can’t finitely transverse from the start to the infinite numbers, but that doesn’t affect the intuition that the boundary should still be there somewhere. And this makes me question whether the notion of an actual infinity is coherent (I really don’t know).
My best guess about how to clear up confusion about “what the boundary looks like” is via mathematics rather than philosophy. For example, have you understood the properties of the long line?
We can definitely solve this problem for real agents, but the reason why I find this problem so perplexing is because of the boundary issue that it highlights. Imagine that we have an actual infinite number of people. Color all the finite placed people red and the non-finite placed people blue. Everyone one t the right of a red person should be red and everyone one to the left of blue person should be blue. So what does the boundary look like? Sure we can’t finitely transverse from the start to the infinite numbers, but that doesn’t affect the intuition that the boundary should still be there somewhere. And this makes me question whether the notion of an actual infinity is coherent (I really don’t know).
My best guess about how to clear up confusion about “what the boundary looks like” is via mathematics rather than philosophy. For example, have you understood the properties of the long line?
Thanks for that suggestion. The long line looks very interesting. Are you suggesting that the boundary doesn’t exist?
Yeah, I’d agree with the “boundary doesn’t exist” interpretation.