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None of that implies that fucks is a complete field sadly. If that were the case every bounded sequence of fucks would have an accumulation point. Which actually checks out, if you keep all your fucks within a certain range they're bound to get focused on something. So never mind fucker is isomorphic to the complex field.
Yes, this is correct.
You dont even have to be a math nerd to innately know this.
Like, I'm about to go to work & dispense imaginary fucks all day (because math-lord knows I have to real fucks to give anymore).
(The thing is they are both imaginary as well as irrational fucks, which complicates math a lot & I only work with fuck approximations)