Does $(\pm 3, \pm 4)$ refer to 2 points or 4? I've seen the notation $\mp$ to contrast with $\pm$ to indicate "Yes there are only two cases and these guys must be opposite signs".  So something like $(\pm2, \mp3)$ would just be $\{(2, -3), (-2, 3) \}$.  But if I write $(\pm 3, \pm 4)$, does this refer to $\{(3,4), (-3, -4)\}$, or $\{(3,4), (-3, -4), (3, -4), (-3, 4)\}$?
This is obviously an abbreviation of four-point writing. For example we can write that the only solution in integers of the system

$$\begin{cases}x^4+y^4=17\\x\lt y\end{cases}$$ is given by $(x,y)=(\pm1,\pm2)$.
This is obviously an abbreviation of four-point writing. For example we can write that the only solution in integers of the system

$$\begin{cases}x^4+y^4=17\\x\lt y\end{cases}$$ is given by $(x,y)=(\pm1,\pm2)$.