The chaos argument asserts that given any description of position and momentum (of all particles in the universe) approaching completeness, long-term prediction is impossible, because variances from completeness multiply over even short periods of time.
Due to the Uncertainty Principle of quantum mechanics, we as observers can never have access to a complete description and therefore can never close the debate on free will versus determism.
Also, the electrodynamics of the human brain are chaotic in nature; accordingly there is also no way to prove, in the event that free will does exist in the universe, whether the human has none.
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