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It's worse than even that. Where would you even start? After saying "0" what's the next number you would count? As soon as you reach an irrational number, reciting the decimal expansion of that number alone would take forever.
Literally
*whole numbers
Zeno is coming to talk to you, but it's taking him a while to get there.
Count what? real numbers are uncountable and there are no integer to count between 0 and 1
Boom! I agree with you about the real numbers and the whole numbers. The rational numbers in between 0 and 1 is a countable infinity.
You can't even start counting