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