(yes, I agree that of course it usually means the same in practice, that’s why this is a stupid question:) I just… I guess I see “any” as a potentiality, and “every” as realisation… anyway, do you think we can talk about this structures in some more complex way than simple “any one thing out of the collection” and “every one thing...”? What would it mean? I imagine the “[every 2 out of 4] out of [every 30 out of 30]” like something like walked paths.
Edit to add: I just want to know what piece of math it corresponds to, mostly. (Combinatorics,obviously.) And what can be done next to this thing to make it more complicated and still exist, kind of. Like combining “anies” with “everies” in different ways, and, if I were to go crazy all the way, dividing things?
A quick thought; It seems like ‘any’ is related to the logic function of ‘OR’ and ‘every’ is related to the logic function of ‘AND’. But likely I’m not totally grokking your question.
(this may not help). It is the difference between, “each of...” and, “all of...”.
“if we go through each of the set, one at a time...” “if we go through all of the set”
They can be made to mean the same.
what does “any” mean, then?
(yes, I agree that of course it usually means the same in practice, that’s why this is a stupid question:) I just… I guess I see “any” as a potentiality, and “every” as realisation… anyway, do you think we can talk about this structures in some more complex way than simple “any one thing out of the collection” and “every one thing...”? What would it mean? I imagine the “[every 2 out of 4] out of [every 30 out of 30]” like something like walked paths.
Edit to add: I just want to know what piece of math it corresponds to, mostly. (Combinatorics,obviously.) And what can be done next to this thing to make it more complicated and still exist, kind of. Like combining “anies” with “everies” in different ways, and, if I were to go crazy all the way, dividing things?
A quick thought; It seems like ‘any’ is related to the logic function of ‘OR’ and ‘every’ is related to the logic function of ‘AND’. But likely I’m not totally grokking your question.
Does this thread elucidate anything? https://math.stackexchange.com/questions/49369/proper-way-to-read-forall-for-all-or-for-every