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The conservation of energy appealed to by Daniel Dennett and Sean Carroll

DD and SC both appeal to the conservation of entity to demonstrate that the the immaterial soul cannot act upon the material body.
Sean Carroll does in his discussion with Hans Halverson (give time point) and Dennett does so in the 88th minute of the audiobook version of Consciousness Explained.

 Doesn't this sort of argument presuppose 1. that the soul is an immaterial thing rather than an activity of the body; 2. that reductive materialism is true; 3. that the only alternative to reductive materialism (or rather, the only alternative other than dualism) is vitalism: the positing of a physical force that is not generated by lower level non-living forces?

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