The soundness of Paley's Argument from Design relies upon:

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The soundness of Paley's Argument from Design relies upon an argument from analogy, specifically the analogy between the complexity of a watch and the complexity of the universe, leading to the conclusion that the universe must have had a designer. While there may be other factors that support the argument, such as mathematical ratios, a leap of faith, or ethical principles, they are not essential to the soundness of the argument. The existence of a blind watchmaker is actually contrary to Paley's argument as it would undermine the idea of design.

The Soundness of Paley's Argument from Design Relies Upon