Showing that irrational numbers have the same cardinality as real numbers
54496
Showing that $\mathbb{R}$ and $\mathbb{R}\backslash\mathbb{Q}$ are equinumerous using Cantor-Bernstein
30411
The closure of the irrational numbers on $\mathbb{R}$
141227
How to show the integers have same cardinality as the natural numbers?
53399
Proof of the uncountability of reals using the diagonal argument—problem?
56464
Proving the irrationality of $e^n$
15733
Show that the cardinality of $\mathbb N$ is the same as the cardinality of $\mathbb N \times \mathbb N$
92639
Prove that the family of open sets in $\mathbb{R}$ has cardinality equal to $2^{\aleph_0}$
30622
Proving $\sqrt 3$ is irrational.
118374
Is there a proof that $\pi$ is an irrational number?
49440
Prove that the interval $ \ [0,2)$ and $ \ [5,6) \cup [7,8)$ have the same cardinality
92226
Prove $\sqrt6$ is irrational
30523
A binary irrational with bits defined by primes
53945
The square root of a prime number is irrational
111094
Help with proving that $\pi$ is irrational
94363
Prove: Any open interval has the same cardinality of $\Bbb R$ (without using trigonometric functions)
64885
Irrational and rational sequence proof
149382
Prove that $(0,1) \subseteq\mathbb R$ and $(4,10) \subseteq\mathbb R$ have the same cardinality.