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Check all possible cases exhaustively.
P(x) is true for every possible xEvery theory of human authorship has been examined and refuted.
∀T ∈ {naturalistic theories}: Refuted(T) → Divine_authorshipWe exhaustively examine every naturalistic theory: (1) Borrowing theory—no evidence of sources; the Prophet ﷺ was unlettered and isolated from scholars. (2) Epilepsy/mental illness—cannot explain coherent legal systems, prophecies, or literary genius. (3) Poetry theory—Arabs themselves rejected this; the Quran is neither poetry nor prose. (4) Learned from others—no teacher identified; style is unique. (5) Gradual composition—contradicted by instantaneous revelations. All theories fail; divine origin alone remains.
This is proof by exhaustion: we systematically examine every proposed naturalistic explanation, refute each one, and conclude that divine authorship is the only explanation that survives scrutiny.
This proof demonstrates the logical foundations of Islamic beliefs through rigorous philosophical methodology.