Question About Hilbert's Hotel

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Can you tell us how to prove that all odd numbers line up with all natural numbers?

No
 
You’re just showing off. None of that is relevant to this discussion. People don’t like to admit when they don’t have a good argument, and it may be long time before people admit there were mistakes made by their mathematical heroes
 
"What if the universe is a clustered oscillation such that it is like families arriving in bunches with no repeating pattern to the bunching since the stream is infinite in length? "

Why can’t there be a pattern in an infinity?

If time always was, it would be a denial of the present reality to say you can’t add one to an infinite series
Precisely, no ONE pattern could every be established in time by which the proprietor could establish his rule of shift!!!Because he would by necessity be forced to wait for the next arrival and thus see the new, temporary pattern. Whereas in the video, because there is no possibility for clustered arrivals, he can take for granted a shift of one.
 
Tomdstone you sound like evolutionary biologist who get enraged against creationists
 
I am just interested in understanding the basic argument for your position. You explained it, I refuted it. I can ask you lots of philosophical questions you’d rather not bother with on this thread because they are irrelevant. Instead of sticking to the issues, you are trying to say you know more about math, which you do; which makes it strange that I refuted your “argument” clearly and precisely.
 
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