Is $2^{\alpha} < 2^{\beta}$, where $\alpha$ and $\beta$ are cardinal numbers, such that $\alpha < \beta$?
140531
Why continuum function isn't strictly increasing?
34710
Cardinality of Irrational Numbers
38764
bound on the cardinality of the continuum? I hope not
152172
Does there exist a positive irrational number $\alpha $, such that for any positive integer $n$ the number $\lfloor n\alpha \rfloor$ is not a prime?
120213
Example $x$, $y$ and $z$ values for $x\uparrow^\alpha y=z$ where $\alpha\in \Bbb R-\Bbb N$
43598
Do $\omega^\omega=2^{\aleph_0}=\aleph_1$?
109054
Given an infinite set of cardinality $X$, is there a chain in $\mathcal P(X)$ of the same cardinalty of $\mathcal P(X)$?
117047
exponentiation of cardinal number
98163
Question regarding exponentiation of cardinal numbers
86914
Cardinality of the set of hyperreal numbers
81775
Prove $a^\alpha b^{1-\alpha} \le \alpha a + (1 - \alpha)b, \; a,b > 0,\; 0 < \alpha < 1$
10909
$|A \cup B| = \mathfrak{c}$, then $A$ or $B$ has cardinality $\mathfrak{c}$.
142168
can we a prove ⊢ (α → α) → (α → α)
34114
What is $\max{(1/\alpha+1/\beta+|1/\gamma|+|1/\delta|)}$?
35043
Cardinality of a set A is strictly less than the cardinality of the power set of A
92975
Does $a^n \mid b^n$ imply $a\mid b$?
1914
General way to determine $\mathbb{Q}(\gamma) = \mathbb{Q}(\alpha,\beta)$ given $\alpha$ and $\beta$