Cardinality of power set of reals is equal to cardinality of all functions from reals to reals?
13273
Cardinality of the set of all real functions of real variable
42794
Prove that functions map countable sets to countable sets
30519
"Real" cardinality, say, $\aleph_\pi$?
48523
Let $A$ be any uncountable set, and let $B$ be a countable subset of $A$. Prove that the cardinality of $A = A - B $
52682
Is the power set of the natural numbers countable?
149673
Cardinality of an infinite union of finite sets
108957
Cardinality of a totally ordered union
142631
Show that A has the same cardinality as $A\setminus\{x,y,z\}$
87830
Relating the union of the power set of a set to the set itself
146436
Cardinality of the set of bijective functions on $\mathbb{N}$?
23125
Prove that there is a bijection between the set of all subsets of $X$, $P(X)$, and the set of functions from $X$ to $\{0,1\}$.
109320
Why do the rationals, integers and naturals all have the same cardinality?
114262
Find the cardinality of the following set $S_n=\{(x,y)|x^2+y^2=n, \text{where }x,y,n \in \mathbb Z\text{ and }n\geq0 \}$
101669
Cardinality of the Set of all finite subset of $\mathbb{R}$
116501
How to show equinumerosity of  the powerset of $A$ and the set of functions from $A$ to $\{0,1\}$ without cardinal arithmetic?
65768
What is the cardinality of the set of the empty set?
22391
Is the set of all pairs of real numbers uncountable?