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This paper bridges contemporary neuroscience theories and Hegelian philosophy, centering on Karl Friston's Free Energy Principle (FEP). Neuroscience models like the Bayesian brain hypothesis and predictive coding depict the brain as a predictive machine, echoing Hermann von Helmholtz's concept of unconscious inference, where perception is shaped by prior knowledge. The FEP, rooted in information theory and statistical physics, suggests organisms minimize sensory surprise through unconscious and active inference, providing a model for behavior and explaining the purposiveness of biological systems. Some scholars assert that Georg W. F. Hegel's view of living beings in his Philosophy of Nature aligns with the FEP, portraying them as purposive and enactive systems. This paper extends this idea, proposing that Hegel's 'System of Science' in the Phenomenology of Spirit functions as a free energy-minimizing system. It discusses predictive coding and the FEP, establishing criteria for a system that minimizes free energy, and applies these criteria to Hegel's work. The paper argues that the dialectical narrative in the Phenomenology operates as a reflective system driven to minimize logical or conceptual free energy, ultimately advancing the spirit towards absolute spirit. This Hegelian predictive model generates expectations essential for dialectical progression. [ABSTRACT FROM AUTHOR]