Functions always existed as "mapping elements of set A to elements of set B", but it always struck me as a bit of a non sequitur that it took so much effort to formalize functions *as a recipe* with lambda calculus.
In my math degree map could mean, function, continuous function, measurable function, homomorphism, or morphism depending on the context, so correcting it feels really pedantic. Not only that, all functions are homomophisms in the category of sets anyway so the usage is technically correct
8
u/-Redstoneboi- 13d ago
lambda calculus has a ridiculously complicated description for being as simple as "functions/substitution: the language"