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I was talking to someone earlier today, and while trying to relate with them, I suddenly found myself trying to decide between "I too" and "me too". I can't quite grasp their differences.
As I understand it, "me too" is valid only on its own, in response to someone's statement.
Person 1: I absolutely love that new album
Person 2: Me too! Doesn't everyone?
Whereas, "I too" works (I believe) in both that scenario, as well as at (is that wording correct?) the beginning of a response phrase.
Person 3: I too, enjoy the album you mentioned.
Regardless of whether I am right or not, can someone please explain the mechanics behind this?