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The Anselmian Thesis is the thesis that God is that than which nothing greater can be thought. In this paper, I argue that such a notion of God is incoherent due to greatness being indefinitely extensible: roughly, for any great being that can be, there is another one that is greater, so there cannot be a being than which nothing greater can be.

Someone will say that it is impossible to produce the best, because there is no perfect creature, and that it is always possible to produce one which would be more perfect.’

G.W. Leibniz. Theodicy. Edited by A. Farrer (Chicago, IL: Open Court, 1985. Pp. 249.)