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In means you can map every element bijectively to one from the complex field AND addition and multiplication can be performed in either field without leading to contractions, i.e. a+b=c <=> f(a)+f(b)=f(a+b)=f© and equivalent for multiplication. This is the part that the meme fails to consider, because nowhere is addition or multiplication for this novel field defined.

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mfed1122@discuss.tchncs.de ⁨1⁩ ⁨day⁩ ago
“i do not give a single fuck” implies an additive identity fuck, and “I don’t give two fucks” implies a multiplicative identity fuck. That’s a start at least!

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Entitle9294@lemmy.world ⁨1⁩ ⁨day⁩ ago
I’ll give this some attention when time permits because this does not make things clearer, lol.

I’ll start with what a field is and a complex field 🤞

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- DisguisedJoker@lemmy.world ⁨1⁩ ⁨day⁩ ago
  ELI5: it means that for every number there’s a matching fuck and vice versa.
  
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  - Eq0@literature.cafe ⁨1⁩ ⁨day⁩ ago
    Not only for any number of fucks there is a corresponding complex number, but the basic operations (+, -, x, /) work in the same way for fucks and complex numbers
    
    Overall, if two things are isomorphic you can consider them « the same »
    
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- Opisek@lemmy.world ⁨1⁩ ⁨day⁩ ago
  Good luck!
  
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Atlas_@lemmy.world ⁨1⁩ ⁨day⁩ ago
Hmmm. But what if fucks aren’t fungible?

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