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What determinism says is that the whole cannot be larger than the sum of its parts. If you're made up of atoms, you follow the same physical laws atoms follow. Since the atoms don't have free will, you don't have free will.
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Isn't this called the fallacy of composition?
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I think the inference is justifiable in this case. A human body is composed entirely of matter, and matter is subjuct to the laws of physics, thus a human body is subject to the laws of physics.
http://www.nizkor.org/features/falla...mposition.html