Is there a proof that the set of real numbers can exactly represent distances?
115190
Why is physical space equivalent to $\mathbb{R}^3$?
111561
Distance of a point to a subset.
58636
Do the real numbers and the complex numbers have the same cardinality?
116009
Proving that if a set is both open and closed then it is equal to the real numbers
22498
In set theory, how are real numbers represented as sets?
133938
Connectedness of the Hausdorff distance.
26547
Real numbers equipped with the metric $ d (x,y) = | \arctan(x) - \arctan(y)| $ is an incomplete metric space
102307
Discrete Math Proofs Involving Real Numbers
151984
Proving the existence of a metric space
83842
Alternate proofs (other than diagonalization and topological nested sets) for uncountability of the reals?
70543
Does an uncountable discrete subspace of the reals exist?
60775
Why are integers subset of reals?
116135
A paradox related to computable reals?
81154
Characterising reals with terminating decimal expansions
103014
Is the real number structure unique?
48028
True Definition of the Real Numbers
42842
Proof for $\epsilon$ closeness to $\sqrt{2}$ for all values of $\epsilon$