Does logic rule out the possibility that someone could travel into the past and affect events so that they turn out otherwise than we remember them?

Does logic rule out the possibility that someone could travel into the past and affect events so that they turn out otherwise than we remember them?

No, because our memory of those events could be mistaken.

But:

Does logic rule out the possibility that someone could travel into the past and affect events so that they turn out otherwise than they in fact did?

Yes, so far as I can see.

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