Dwight and Dave

Logic Level 3

You happen to be in a village full of knights (who always tell the truth) and knaves (who always lie), but you can't tell which is which.

You approach two people, Dwight and Dave, one of whom is a knight and the other is a knave. One of them makes the following two statements:

"If I am a knight and he is a knave, then I am Dwight and he is Dave.

But If I am a knave and he is a knight, then I am Dave and he is Dwight."

Hmm... knight, knave, Dwight, Dave...

Is the speaker a knight or a knave? Dwight or Dave?

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Clarification: As with all knights and knave problems, treat this question as a formal logic question.

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