I have lots of questions that I'm going to ignore, ont he grounds that you've already answered them with waving hands :-)
But the bit about not being able to relabel the 0 in Omega+1 as you don't know what the last bit of Omega is... doesn't the same argument apply to all the dots? You're basically saying that with each dot up to and including the end of Mega, that you're going to shift them one place over and give them the value of the number to their right. Couldn't you do that with the +1?
What if you say OK, we don't know what the last number in Omega is, but whatever it is we'll shift it (and all preceding numbers, calling the 0 at the start 0 again for the sake of argument) over to the left to make room for the +1's 0, and then renumber from the left like we did with 1+Omega?
You're going to wave your hands at me, aren't you? :-D
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I have lots of questions that I'm going to ignore, ont he grounds that you've already answered them with waving hands :-)
But the bit about not being able to relabel the 0 in Omega+1 as you don't know what the last bit of Omega is... doesn't the same argument apply to all the dots? You're basically saying that with each dot up to and including the end of Mega, that you're going to shift them one place over and give them the value of the number to their right. Couldn't you do that with the +1?
What if you say OK, we don't know what the last number in Omega is, but whatever it is we'll shift it (and all preceding numbers, calling the 0 at the start 0 again for the sake of argument) over to the left to make room for the +1's 0, and then renumber from the left like we did with 1+Omega?
You're going to wave your hands at me, aren't you? :-D