Solved: Suppose that 𝐹 is any inconsistent formal system.

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Suppose that 𝐹 is any inconsistent formal system. There exists some 𝑝 such that
𝐹|–𝑝 and 𝐹|–notp. Further suppose you atleast have the axioms of the propositional
calculus. Let 𝑞 be ANY statement. Prove that (𝐹+𝑝+notp)|–(𝑞notq). This is called
the principle of explosion, an inconsistent system can prove anything.

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