How does Cantor's diagonal argument actually prove that the set of real numbers is larger than that of natural numbers?
6681
How does Cantor's diagonal argument work?
32441
How to prove or disprove statements about sets
151686
A proof that the Cantor set is Perfect
114650
In Cantor's Diagonalization Argument, why are you allowed to assume you have a bijection from naturals to rationals but not from naturals to reals?
78287
Prove that if $n$ is not the square of a natural number, then $\sqrt{n}$ is irrational.
13273
Cardinality of the set of all real functions of real variable
76974
What ZF axioms does Cantor's diagonal argument require?
65895
Irrationality proofs not by contradiction
153969
The "elements" of a real number
31544
How to prove that this polynomial is larger than another for positive reals?
50137
Using Cantor's lemma in a proof of convergence
11395
Why is the Cantor function not absolutely continuous?
120188
Why is the real line not used in Descriptive Set Theory?
4467
Proving Cantor's theorem
111944
Do Cantor's Theorem and the Schroder-Bernstein Theorem Contradict?
151928
How to prove that $N\setminus A$ is finite?
15438
do all uncountable sets have same cardinality as real numbers?