An initial reading of Hume's Principle is that no necessary truth can be denied without contradiction, whereas all existential propositions can. Therefore it is self-contradictory to say,that any existential claim is necessarily true, since it follows that this claim both can and cannot be denied without self-contradiction. Thus any claim of the form 'X necessarily exists' is a self-contradiction, even if X is God.
Australasian Journal of Philosophy
Taylor and Francis
WILLIAMS, John N..(1992). Ontological Disproof of God's Existence. Australasian Journal of Philosophy, 70(2), 204-210.
Available at: http://ink.library.smu.edu.sg/soss_research/253
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