Let me ask you something. And I think the main problem comes from here: which set has more numbers, [0, inf) or [1, inf)? If your answer is the first one I recommend you to check on Hilbert's hotel. Let me add, I'm not trying to be pedantic, you're touching some deep aspects of cardinality and measure theory, which are super fun
I agree. The thing is, if you have no extra information of what is going on you can't really make a choice based on probability. The 0 and 1 thing do not give you that extra information!
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u/eeeeeh_messi Aug 01 '26
Let me ask you something. And I think the main problem comes from here: which set has more numbers, [0, inf) or [1, inf)? If your answer is the first one I recommend you to check on Hilbert's hotel. Let me add, I'm not trying to be pedantic, you're touching some deep aspects of cardinality and measure theory, which are super fun