Cartesian power of an infinite set
31318
Cardinality of cartesian square
152382
Can an infinite set A be larger than an infinite set B but still have the same cardinality?
102717
Real analysis of powers
24924
Computing an infinite product
71133
prove inequlity about cardinality power sets
112084
Proof of a formula for the power set of a union of two sets
4776
Prove that the power set of an $n$-element set contains $2^n$ elements
140662
Powers of infinite cardinals in the generic extension
66398
Union of a finite set and a countably infinite set is countably infinite
134071
If A is a finite set and B is an infinite set, then B\A is an infinite set
125411
Infinite set always has a countably infinite subset
92639
Prove that the family of open sets in $\mathbb{R}$ has cardinality equal to $2^{\aleph_0}$
157513
How can I prove that these sets are countable infinite?
156335
Proving Power Set of $\mathbb N$ is Uncountable
120712
Is there a way to define the "size" of an infinite set that takes into account "intuitive" differences between sets?
36281
A set is infinite iff it is equivalent to a proper subset of itself
29755
Power set equivalency of Axiom of Choice