Those things are correct gramatically? What's the difference?

My girlfriend and I went to the beach and I threw her in the water and she said

"You're stronger than I am."

I think that "You're stronger than me." is always correct gramatically..

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    @EddieKal I agree it's a duplicate, but unfortunately the answer there presents as definitely correct something which is still hotly debated. Many feel that the sentence "You are stronger than me" is perfectly grammatical.
    – Andrew
    Mar 12 '18 at 1:00