If someone believes that a deductive cosmological argument (proof) for God's existence is sound, then accepting the soundness of the argument logically commits them to accepting the conclusion that God exists.

Swinburne is correct that if someone believes that a deductive cosmological argument (proof) for God’s existence is sound, then it would be incoherent for that same person to then deny that God exists. However, in their respective proofs defenders of the deductive cosmological arguments make a claim about incoherence, namely, that it would be contradictory for the same person to affirm the premises of the argument and to claim that God or a personal necessary being does not exist. And they believe both that the respective premises have the intuitiveness that Swinburne deems necessary and that ...