Ok, everyone but me seems to get it, so I’ll ask. I get everything but the last bit. What does “isomorphic with the complex field” mean? I think I know what isomorphic means from some dabbling I’ve done in category theory.
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 »
“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!
Ok, everyone but me seems to get it, so I’ll ask. I get everything but the last bit. What does “isomorphic with the complex field” mean? I think I know what isomorphic means from some dabbling I’ve done in category theory.
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.
Hmmm. But what if fucks aren’t fungible?
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!