The natural numbers exist in about the strongest possible sense: I can get a computer program to spit them out one by one, and it won’t stop until it runs out of resources. It’s more accurate to say I don’t believe that they’re well-ordered, see here.
You might find my reasoning preposterous, I only wanted to point out that it’s essentially the same as EYs reasoning about uncountable ordinals.
The natural numbers exist in about the strongest possible sense: I can get a computer program to spit them out one by one, and it won’t stop until it runs out of resources. It’s more accurate to say I don’t believe that they’re well-ordered, see here.
You might find my reasoning preposterous, I only wanted to point out that it’s essentially the same as EYs reasoning about uncountable ordinals.