Perhaps we’ve all heard a slightly different wording of the paradox (or more), but I don’t see what causation has to do with it.
He knows what your environmental circumstances are because he put you in them. That is, he obviously knows that you are going to be encountering a Newcomblike problem because he just gave it to you. (ie. No deep technical meaning, just the obvious.)
Maybe I’m being dense. Omega needs to know more than just that you are going to encounter the problem, even Omega’s scheduler and publicist know that!
Omega knows the exact situation, including how an identical model of you would act/has acted, because that is stipulated, but it does not follow trivially from Omega’s causing your situation.
He knows what your environmental circumstances are because he put you in them. That is, he obviously knows that you are going to be encountering a Newcomblike problem because he just gave it to you. (ie. No deep technical meaning, just the obvious.)
Maybe I’m being dense. Omega needs to know more than just that you are going to encounter the problem, even Omega’s scheduler and publicist know that!
Omega knows the exact situation, including how an identical model of you would act/has acted, because that is stipulated, but it does not follow trivially from Omega’s causing your situation.