Why study Gal($\overline{\mathbb{Q}}|\mathbb{Q})$?
106101
Why there is much interest in the study of $\operatorname{Gal}\left(\overline{\mathbb Q}/\mathbb Q\right)$?
109159
What's the intuition behind $(\exists y)(\mathscr{C}(y)\supset\mathscr{D})\supset((\forall x)\mathscr{C}(x)\supset\mathscr{D})$
157597
Homeomorphism between $\mathbb{Q}$ and $\mathbb{Q}(>0)$, and $\mathbb{Q}(\ge 0)$
9422
Computing the Galois group of polynomials $x^n-a \in \mathbb{Q}[x]$
145039
Algebraic independence over $\overline{\mathbb Q}$ and over $\mathbb Q$
127330
Exercises on Galois Theory
80202
Why is $[0, 1] \cap \mathbb{Q}$ not compact in $\mathbb{Q}$?
36325
Embedding ordinals in $\mathbb{Q}$
73713
Prove that $\mathbb{Q}(\sqrt{(2+\sqrt{2})(3+\sqrt{3})})$ is Galois over $\mathbb{Q}$ is Galois and determine the Galois group
146617
A complete picture of the lattice of subfields for a cyclotomic extension over $\mathbb{Q}$.
111291
Galois group of $\mathbb Q(\sqrt{4+\sqrt 7})/\mathbb Q$
119477
Understanding the Definition of $\int_\gamma f\ \overline{dz}$
154270
Why is $ \overline{e^z} = e^\overline{z} $?
155750
Why does $\mathbb{C}$ have transcendence degree $\mathfrak{c}$ over $\mathbb{Q}$?
143107
Why is $X^4 + \overline{2}$ irreducible in $\mathbb{F}_{125}[X]$?
62224
Need help with proof for Dedekind cuts on $\mathbb{Q}^+$
68144
How far can one get in analysis without leaving $\mathbb{Q}$?