Is a continuous interval countable or uncountable infinite?
11959
What's wrong with this argument that $[0,1]$ is countable?
43894
If $S$ is an infinite $\sigma$ algebra on $X$ then $S$ is not countable
28413
Limit of a continuous function
623
variation of a function over countable intervals
48727
Why is the Cantor set not defined by a limit?
143174
property of continuous function
121366
Intervals and cardinality
109732
Nowhere continuous function limit
70196
Is there any well-ordered uncountable set of real numbers under the original ordering?
138815
For which conditions on countable sets does continuity implies uniform continuity
68994
Countable closed sets
33157
Proof that an infinite subset of $\mathbb{N}$ is countable
87356
Are there any known uncountable transfinite increasing sequences of real numbers?
3645
Why Are the Reals Uncountable?
99478
countably infinite union of countably infinite sets is countable
148507
Why an open set in $R^n$ might not be written as countable union of disjoint open intervals?
2403
Can a countable set contain uncountably many infinite subsets such that the intersection of any two such distinct subsets is finite?