Intuition for a proof that the rationals are incomplete.
67161
No maximum(minimum) of rationals whose square is lesser(greater) than $2$.
63409
If $x^2+ax+b=0$ has a rational root, show that it is in fact an integer
79389
Is there an intuitionist (i.e., constructive) proof of the infinitude of primes?
60577
Understanding the intuition behind math
19811
$(P(X), C_R)$ may be a choice structure even if $R$ is not a rational relation.
10882
irrationality of $\sqrt{2}^{\sqrt{2}}$.
125174
Combinatorial intuition of identity
75012
Additive group of rationals has no minimal generating set
34998
How to prove that $\mathbb{Q}$ ( the rationals) is a countable set
120935
Why is every continuous function on the reals determined by its value on rationals?
141273
When is $\sin(x)$ rational?
43268
How to prove that the set of rational numbers are countable?
22192
System of linear equations having a real solution has also a rational solution.
122324
Is there a proof of Gödel's Incompleteness Theorem without self-referential statements?
32848
Prove that the product of a non-zero rational and irrational number is irrational.
136770
Any field that contains the integers contains the rationals as a subfield (Analysis proof)
114442
Completion of rational numbers via Cauchy sequences