Give a satisfying explanation for the real numbers being a much larger set than the natural numbers or the rational numbers.

Question

experimentx · Answer

i think there's a theorem for that ...

turingtest · Answer

how about the fact that between any to natural numbers there is an infinite number of reals? it's at least intuitive

parthkohli · Answer

It's because real numbers is the MASTER-set(lol) and then the rational numbers is a subset. Natural numbers is then a subset of the rational numbers.

experimentx · Answer

there are more real numbers in 0 and 1 than the set of natural numbers

parthkohli · Answer

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Real numbers include the irrational numbers too.