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Assume the opposite and show it leads to a contradiction.
If ¬P → ⊥, then PA liar cannot sustain lifelong truthfulness and fulfilled prophecies.
Assume: Liar(Muhammad) → ∃ contradictions; but ∄ contradictions ⇒ ⊥Assume the Prophet ﷺ was lying about prophethood. A liar over 23 years would inevitably: (1) slip and contradict himself—he never did. (2) make failed prophecies—all his prophecies came true. (3) be exposed by close companions who knew his private life—none turned away. (4) show inconsistency under pressure—he was most consistent in hardship. This contradiction proves the assumption false.
This is proof by contradiction: we assume he was lying, derive consequences that should follow from this, observe they never occurred, and conclude the assumption is false—he was truthful.
This proof demonstrates the logical foundations of Islamic beliefs through rigorous philosophical methodology.