Warp's latest activity

Some possible solutions to the paradox come to mind (I have not looked any of this up online, even though I'm sure I'm not the first one...

It has to be a terminating algorithm that computes the number up to a given precision (which can be arbitrarily large). The Cantor's...

Famously, the set of computable numbers is countable. That's pretty much a result of their definition: The decimal expansion of a...

Another insight: When using rational numbers to make the Dedekind cut, there are only countably many ways to choose said rational...

Yeah, even with the additional insight in that post #5, I'm still having a hard time understanding why there are more Dedekind cuts of...

That makes it sound that there would be duplicates. In other words, two different irrational numbers would generate the same split of...

Talking a bit more with ChatGPT about this subject, I think I got a sort of understanding breakthrough, after understanding two key...

I was not talking about the set of real numbers but about the set of irrational numbers, both in the description of the problem and my...

I have now tried for an hour to make ChatGPT make me understand how this works, without success, so I humbly ask for a clearer...