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"Any" and other non-affirmative words (anybody, anyone, anything, anywhere, ever, yet) are used in affirmative sentences when there's some kind of negative meaning. "I managed to avoid any punctures." = I managed not to get any punctures. Also "any" (and its compounds) can be used in affirmative sentences when it means "any at all," "it doesn't matter which." Ex.: "I like any song by Oasis."