"Every" doesn't need an order.
"For every x, property(x) holds" means "it is not the case that for any x, property(x) does not hold."
"For any x, property(x) holds" means "it is not the case that for every x, property(x) does not hold."
In Russian, quantifier adjectives are often implicit, which could be a part of the problem here. Native Russian speakers (like me) often have problems with this, also with definite vs indefinite articles in English.
edit: not only implicit but ambiguous when explicit, too!
Person below is right, "every" is sort of like an infinite "AND" and "any" is sort of like an infinite "OR."
(Still confused.) Then it is possible to say, in principle, "for every combination of n out of the whole set of n, property(x) hold)" and mean ordered combinations? Is there any other meaning for "every 30 out of 30"?
(yes, it is probably because of my language background. I don't even use the Russian analogues all that often!)
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