Is the set of irrational numbers smaller than the set of real numbers?
34710
Cardinality of Irrational Numbers
48975
Transcendental numbers and irrationality measure
30523
A binary irrational with bits defined by primes
3790
Rational + irrational = always irrational?
50555
Approximation of real number to the power of irrational
111898
Is $\{ (e^{2\pi i a n},e^{2\pi i b n }) : n \in \mathbb{Z} \}$ dense in the torus, where $a,b$ irrationals such that $a/b$ irrational?
41052
The set of real numbers and power set of the natural numbers
103744
Minimal $ab$ for Rational Number $a/b$ in an Interval
27889
If the set of odd numbers is a subset of $\mathbb N$ then surely it is smaller than $\mathbb N$
120712
Is there a way to define the "size" of an infinite set that takes into account "intuitive" differences between sets?
10882
irrationality of $\sqrt{2}^{\sqrt{2}}$.
30411
The closure of the irrational numbers on $\mathbb{R}$
152512
What is the ratio of rational to irrational real numbers?
56464
Proving the irrationality of $e^n$
158730
Is $\ln(\ln(n))$ irrational for any integer $n>1$?
140949
Proving that for each prime number $p$, the number $\sqrt{p}$ is irrational
69264
Is there an irrational number $a$ such that $a^a$ is rational?