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Hope you like math
(lemmy.today)
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this post was submitted on 03 Aug 2025
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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(c) 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.
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 🤞
ELI5: it means that for every number there's a matching fuck and vice versa.
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 »
Good luck!
"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!
Hmmm. But what if fucks aren't fungible?