Why can't we mirror map Natural numbers to Real numbers?
5420
Why doesn't Cantor's diagonal argument also apply to natural numbers?
43626
Open Mapping Theorem: counterexample
9737
Complex number operations: telling Mathematica variables are real
41052
The set of real numbers and power set of the natural numbers
20696
How to check if an expression is a real-valued number
120188
Why is the real line not used in Descriptive Set Theory?
73056
Operation that makes the negative real numbers, $\mathbb{R}_{<0}$, a group
14791
Can you pick a random natural number? And a random real number?
71459
Why hyperreal numbers are built so complicatedly?
65624
Real vs. Floating Point vs. Money
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?
2269
Proof that the real numbers are countable: Help with why this is wrong
41872
Show that $\mathbb{R}^2$ is not homeomorphic to $\mathbb{R}^2 \setminus\{(0,0)\}$
60008
Can we always view loops as maps from $S^1\to X$?
31421
Transpose inverse automorphism is not inner
18160
How to show that the group of nonzero real numbers under multiplication is not isomorphic to the group of real numbers under addition?
9969
Is infinity a real number?