An Examination of Sir William Hamilton's Philosophy

Mill's examination of Sir William Hamilton's philosophy represents a significant intervention in nineteenth-century debates about the knowability of God and the limits of human cognition. The work systematically dismantles Hamilton's doctrine of the relativity of knowledge and its theological implications, particularly Hamilton's claim that God remains unknowable while simultaneously affirming divine attributes.

Mill challenges Hamilton's philosophical position that human knowledge extends only to the relative and phenomenal, never to absolute reality. According to Hamilton, this epistemological limitation applies supremely to theological knowledge: humans can know that God exists but cannot know what God is. Mill identifies a fundamental contradiction in this stance, arguing that Hamilton's affirmation of divine infinity, absolute power, and moral perfection violates his own principle of the unknowability of the absolute.

The critique employs empiricist methodology throughout, subjecting Hamilton's arguments to logical analysis while exposing inconsistencies between his epistemological principles and theological commitments. Mill demonstrates how Hamilton attempts to preserve traditional theistic beliefs while maintaining philosophical skepticism about human cognitive capacities, resulting in an unstable synthesis. This tension becomes particularly acute in Hamilton's treatment of divine attributes and moral qualities, where he claims knowledge of what he simultaneously declares unknowable.

Mill's analysis extends beyond Hamilton to engage broader questions about natural theology and religious epistemology in Victorian intellectual culture. He argues that Hamilton's philosophy of the conditioned, despite its apparent humility regarding human knowledge, actually serves to shield religious beliefs from rational scrutiny. By declaring God unknowable yet affirming specific divine attributes, Hamilton exemplifies what Mill sees as a widespread intellectual evasion in contemporary religious thought.

The work's significance lies in its rigorous application of empiricist principles to theological claims, demonstrating how philosophical arguments about cognitive limits often mask substantive religious commitments. Mill's examination reveals the difficulties inherent in maintaining both philosophical skepticism and positive religious belief, a tension central to much nineteenth-century thought. His critique of Hamilton thus illuminates fundamental problems in religious epistemology: how can one coherently claim ignorance about the divine nature while making specific theological assertions? This question remains relevant to contemporary discussions about religious language, negative theology, and the scope of human knowledge regarding transcendent reality.