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.
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Entitle9294 6 points a year 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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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.
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