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We point out that the singularities of the reduced free energy {\\beta}f, the free energy per site f and the free energy F of the 3D Ising model differ at {\\beta} = 0. The rigorous proof presented in the Perk's Comment is only for the analyticity of the reduced free energy {\\beta}f, which loses its definition at {\\beta} = 0. Therefore, all of his objections lose the mathematical basis, which are thoroughly disproved. 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