I am not a mathematician, but I study it for fun. I know that Cantor showed that the infinite set of the real numbers is larger than the rationals since the real numbers are uncountable and the rationals are countable. The real numbers include rational and irrational numbers and the irrational numbers are uncountable. Is the set of irrational numbers smaller than the set of real numbers, the same size, or does this question not make sense? Thank you!
2026-03-29 08:16:07.1774772167
Is the set of irrational numbers smaller than the set of real numbers?
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