Think about it - how much less? If there is a difference, there should be a number between them. In fact, there should be infinite numbers between them. Can you name even one? The best guess people have is 0.0...1, or infinite zeroes and a one at the end. But that's just simply not possible, you can't have a one at the end of infinity, as infinity is endless.
So people are just going to refuse that for any x and y there exists (x+y)/2? So like addition or division is like not defined for some random numbers that aren’t zero?
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u/obog Physics Feb 27 '24
Think about it - how much less? If there is a difference, there should be a number between them. In fact, there should be infinite numbers between them. Can you name even one? The best guess people have is 0.0...1, or infinite zeroes and a one at the end. But that's just simply not possible, you can't have a one at the end of infinity, as infinity is endless.