Why real number is linear ordered (total ordered) but uncountable?
23164
Why are irrational numbers uncountable and rationals countable?
18360
Proof that the irrational numbers are uncountable
17022
Definable real numbers
136106
Is every open subset of $ \mathbb{R} $ uncountable?
31432
Total order on complex numbers
130149
Computablility of a real number
87279
order of evaluation of operands
15438
do all uncountable sets have same cardinality as real numbers?
52861
Natural Numbers and Well ordering
67064
Uncountable minus countable set is uncountable
136081
Indecomposable limit ordinals
86893
Show that it is impossible to list the rational numbers in increasing order
44224
Understanding the order() function
108957
Cardinality of a totally ordered union
60306
Natural class of functions whose $\mathcal O$-sets are linearly ordered
86926
Why isn't this a well ordering of $\{A\subseteq\mathbb N\mid A\text{ is infinite}\}$?
39514
how do I prove that $1 > 0$ in an ordered field?