Contrasting

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    On the other hand,

    However,

    Yes, but . . .

    You may be right, but . . .

    I may be wrong, but . . .

    Correct me if I'm wrong, but . . .

    On the contrary,

    (Be careful with this one!)
    It appears to be a direct negation of what was just stated,
    but it can actually be an emphatic reaffirmation of one's own opinion.

    For example: It's not hot. On the contrary, it's cold.