Comment on Hope you like math
Entitle9294@lemmy.world 1 month ago
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.
Opisek@lemmy.world 1 month ago
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.
mfed1122@discuss.tchncs.de 1 month 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!
Entitle9294@lemmy.world 1 month 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 🤞
DisguisedJoker@lemmy.world 1 month ago
ELI5: it means that for every number there’s a matching fuck and vice versa.
Eq0@literature.cafe 1 month 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 »
Opisek@lemmy.world 1 month ago
Good luck!
Atlas_@lemmy.world 1 month ago
Hmmm. But what if fucks aren’t fungible?