Give a satisfying explanation for the real numbers being a much larger set than the natural numbers or the rational numbers.
i think there's a theorem for that ...
how about the fact that between any to natural numbers there is an infinite number of reals? it's at least intuitive
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.
there are more real numbers in 0 and 1 than the set of natural numbers
|dw:1338137629951:dw| Real numbers include the irrational numbers too.
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