William L. Rowe's a Priori Argument for Atheism

Faith and Philosophy 22 (2):211-234 (2005)
The hypothesis of no prime worlds (NPW) holds that for any possible world x that an omnipotent being has the power to actualize, there is a better world, y , that the omnipotent being could have actualized instead of x . NPW is generally deployed to defend theism against the charge that God failed to do his best in actualizing this world. Sometimes this view is deployed to defend theism against the charge that God failed to do better in actualizing this world. These defences are compelling, and, accordingly, critics of theism have developed new anti-theistic arguments on NPW. Most anti-theistic arguments on this view are a posteriori : they typically hold that a God-actualized world would exhibit (or lack) certain features, and that, since the actual world fails (or seemingly fails) to conform to these expectations, it is reasonable to believe that God does not exist. Since most of these arguments appeal to certain claims about evil, they may be treated as versions of the problem of evil. Such arguments are controversial, and the literature surrounding them is vast
Keywords Contemporary Philosophy  Philosophy and Religion
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ISBN(s) 0739-7046
DOI 10.5840/faithphil200522231
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Klaas J. Kraay (2011). Incommensurability, Incomparability, and God's Choice of a World. International Journal for Philosophy of Religion 69 (2):91 - 102.
William Hasker (2007). D. Z. Phillips' Problems with Evil and with God. International Journal for Philosophy of Religion 61 (3):151 - 160.

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Klaas J. Kraay (2006). God and the Hypothesis of No Prime Worlds. International Journal for Philosophy of Religion 59 (1):49-68.
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Klaas J. Kraay (2009). Can God Choose a World at Random? In Yujin Nagasawa & Erik J. Wielenberg (eds.), New Waves in Philosophy of Religion. Palgrave-Macmillan.
Robert Lehe (2009). The Nihilistic Consequences of the Argument From Evil. International Philosophical Quarterly 49 (4):427-437.

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