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> There's no such thing as a bigger inifinite? Well, that is where the fun starts. Take every natural number, assign a unique real between 0 and 1 to it. Put
by Akronymus 4y ago
> There's no such thing as a bigger inifinite?
Well, that is where the fun starts.
Take every natural number, assign a unique real between 0 and 1 to it. Put all of them under each other. Now take the 1st digit of the first number, 2nd of the 2nd and so on, set it to a different digit than the one you took.
Now you have a new, unique, real (Because it differs in at least one digit with every other real taken so far) but no more natural to assign it to.
https://en.wikipedia.org/wiki/Cantor%27s_diagonal_argument https://en.wikipedia.org/wiki/Cantor%27s_diagonal_argument
https://www.youtube.com/watch?v=elvOZm0d4H0 https://www.youtube.com/watch?v=elvOZm0d4H0