Nomenclature Stokes Theorem

I have a profound understanding of the classical Stokes theorem (aka Curl theorem). However, I am a little confused, how the theorem is written on Wikipedia $$\iint_\Sigma (\nabla \times \mathbf{F}) \cdot \mathrm{d}^2 \mathbf{\Sigma} = \oint_{\partial\Sigma} \mathbf{F} \cdot \mathrm{d}\mathbf{\Gamma}.$$ Could someone explain the deeper meaning of the square on the left side?

• That $d^{\color{red}{2}}\Sigma$ only indicates that it is a surface integral which should be clear from the context. Write $dS$ if you like that better. Commented Jun 24, 2023 at 19:38
• Seems a bit strange. Math should not depend on context. Commented Jun 24, 2023 at 19:52
• Moreover, $\Sigma$ is already defined as surface, see the link. Commented Jun 24, 2023 at 19:53
• Notation isn't math. It helps to express mathematifal statements in more or less convenient ways that depend on what people are used to. There is never a notation that explains itself. Either the author does that or it is clear from context. Commented Jun 24, 2023 at 20:30
• Wise words. However, it is neither described on the page nor it is clear from context. As I already said, in the picture $\Sigma$ is defined as surface. For me, it is simply wrong or missleading. Commented Jun 24, 2023 at 20:42