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Anselm and Russell

Logic and Logical Philosophy 15 (4):355-368 (2006)

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  1. Formal reconstructions of St. Anselm’s ontological argument.Esther Ramharter & Günther Eder - 2015 - Synthese 192 (9):2795-2825.
    In this paper, we discuss formal reconstructions of Anselm’s ontological argument. We first present a number of requirements that any successful reconstruction should meet. We then offer a detailed preparatory study of the basic concepts involved in Anselm’s argument. Next, we present our own reconstructions—one in modal logic and one in classical logic—and compare them with each other and with existing reconstructions from the reviewed literature. Finally, we try to show why and how one can gain a better understanding of (...)
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  • Monotonic and Non-monotonic Embeddings of Anselm’s Proof.Jacob Archambault - 2017 - Logica Universalis 11 (1):121-138.
    A consequence relation \ is monotonic iff for premise sets \ and conclusion \, if \, \, then \; and non-monotonic if this fails in some instance. More plainly, a consequence relation is monotonic when whatever is entailed by a premise set remains entailed by any of its supersets. From the High Middle Ages through the Early Modern period, consequence in theology is assumed to be monotonic. Concomitantly, to the degree the argument formulated by Anselm at Proslogion 2–4 is taken (...)
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  • The ontological argument and Russell's antinomy.Sara L. Uckelman - 2009 - Logic and Logical Philosophy 18 (3-4):309-312.
    In this short note we respond to the claim made by Christopher Viger in [4] that Anselm’s so-called ontological argument falls prey to Russell’s paradox. We show that Viger’s argument is based on a flawed premise and hence does not in fact demonstrate what he claims it demonstrates.
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