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  1. (1 other version)Dialetheism.Francesco Berto, Graham Priest & Zach Weber - 2008 - Stanford Encyclopedia of Philosophy 2018 (2018).
    A dialetheia is a sentence, A, such that both it and its negation, ¬A, are true (we shall talk of sentences throughout this entry; but one could run the definition in terms of propositions, statements, or whatever one takes as her favourite truth-bearer: this would make little difference in the context). Assuming the fairly uncontroversial view that falsity just is the truth of negation, it can equally be claimed that a dialetheia is a sentence which is both true and false.
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  • (1 other version)Dialetheism.Graham Priest - 2008 - Stanford Encyclopedia of Philosophy.
    A dialetheia is a sentence, A, such that both it and its negation, A, are true (we shall talk of sentences throughout this entry; but one could run the definition in terms of propositions, statements, or whatever one takes as her favourite truth bearer: this would make little difference in the context). Assuming the fairly uncontroversial view that falsity just is the truth of negation, it can equally be claimed that a dialetheia is a sentence which is both true and (...)
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  • Islamic Contradictory Theology... Is there any such Thing?Abbas Ahsan - 2021 - Logica Universalis 15 (3):291-329.
    The application of paraconsistent logics to theological contradictions is a fascinating move. Jc Beall’s (J Anal Theol, 7(1): 400–439, 2019) paper entitled ‘Christ—A Contradiction: A Defense of ‘Contradictory Christology’ is a notable example. Beall proposes a solution to the fundamental problem of Christology. His solution aims at making the case, and defending the viability of, what he has termed, ‘Contradictory Christology’. There are at least two essential components of Beall’s ‘Contradictory Christology’. These include the dogmatic statements of Chalcedon and FDE (...)
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  • Conceptual engineering for analytic theology.Patrick Greenough, Jean Gové & Ian Church - forthcoming - Inquiry: An Interdisciplinary Journal of Philosophy:1-34.
    Conceptual engineering is the method (or methods) via which we can assess and improve our concepts. Can conceptual engineering be usefully employed within analytic theology? Given that analytic theology and analytic philosophy effectively share the same philosophical toolkit then if conceptual engineering works well in philosophy then it ought to work well in analytic theology too. This will be our working hypothesis. To make good on this hypothesis, we first address two challenges. The first challenge makes conceptual engineering look to (...)
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  • Gappying Curry Redux.Jeremiah Joven Joaquin - 2024 - Sophia 63 (1):5-11.
    In ‘Currying omnipotence: A reply to Beall and Cotnoir’, Andrew Tedder and Guillermo Badia argue that Jc Beall and A. J. Cotnoir’s gappy solution to the traditional paradox of unrestricted omnipotence does not extend to a Curry-like version of the paradox. In this paper, we show that it does extend to it.
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  • Of gaps, gluts, and God's ability to change the past.Jeremiah Joven Joaquin - 2023 - Journal of Applied Non-Classical Logics 32 (4):305-316.
    Can God change the past? The standard Aquinas line answers this question negatively: God cannot change the past since such an act implies a contradiction; thus is not within the purview of God's omnipotence. While the Aquinas line is well-known, there are other, non-standard solutions to this question. In this paper, I look into such answers. In particular, I explore those answers that employ the resources of gappy and glutty logics. I show how these solutions are motivated and how each (...)
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  • Islamic Mystical Dialetheism: Resolving the Paradox of God’s Unknowability and Ineffability.Abbas Ahsan - 2022 - Philosophia 50 (3):925-964.
    Dialetheism is the view that some contradictions are true. Resorting to either metaphysical dialetheism or semantic dialetheism may seem like an appropriate resolve to certain theological contradictions. At least for those who concede to theological contradictions, and take dialetheism seriously. However, I demonstrate that neither of these types of dialetheism would serve to be amenable in resolving an Islamic theological contradiction. This is a theological contradiction that I refer to as ‘the paradox of an unknowable and ineffable God’. As a (...)
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  • Should God believe the Liar? A non-dialetheist paraconsistent approach to God’s Omniscience.Guilherme Araújo Cardoso & Sérgio Ricardo Neves de Miranda - 2021 - Manuscrito 44 (4):518-563.
    In this paper, we discuss a family of arguments that show the inconsistency of the concept of omniscience, which is one of the central attributes of the theistic God. We introduce three member of this family: Grim’s Divine Liar Paradox, Milne’s Paradox and our own Divine Curry. They can be seen as theological counterparts of well-known semantic paradoxes. We argue that the very simple dialetheist response to these paradoxes doesn’t work well and then introduce our own response based on a (...)
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  • Islamic Contradictory Theology . . . Is there any such Thing?Abbas Ahsan - 2021 - Logica Universalis 15 (2).
    The application of paraconsistent logics to theological contradictions is a fascinating move. Jc Beall’s (J Anal Theol, 7(1): 400–439, 2019) paper entitled ‘Christ—A Contradiction: A Defense of ‘Contradictory Christology’ is a notable example. Beall proposes a solution to the fundamental problem of Christology. His solution aims at making the case, and defending the viability of, what he has termed, ‘Contradictory Christology’. There are at least two essential components of Beall’s ‘Contradictory Christology’. These include the dogmatic statements of Chalcedon and FDE (...)
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  • Are Reduplicative Qua-Operators Superfluous?Eric Yang - 2021 - European Journal for Philosophy of Religion 13 (2):145-162.
    Reduplicative approaches to the incarnation attempt to avoid the charge of incoherence by employing a qua-operator that operates on an entire assertion. The main objection to this approach is that it still yields a contradiction. Recently, two new reduplicative approaches have been offered that purport to avoid contradiction, one that offers a novel analysis of negative predications and the other which prevents conjoining divine and human predicates into a meaningful sentence. In this paper, I argue that these newer approaches either (...)
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  • Grim Variations.Fabio Lampert & John William Waldrop - 2021 - Faith and Philosophy 38 (3):287-301.
    Patrick Grim advances arguments meant to show that the doctrine of divine omniscience—the classical doctrine according to which God knows all truths—is false. In particular, we here have in mind to focus on two such arguments: the set theoretic argument and the semantic argument. These arguments due to Grim run parallel to, respectively, familiar paradoxes in set theory and naive truth theory. It is beyond the purview of this article to adjudicate whether or not these are successful arguments against the (...)
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  • The intoxicating effects of conciliatory omniscience.David McElhoes - 2020 - Philosophical Studies 178 (7):2151-2167.
    The coherence of omniscience is sometimes challenged using self-referential sentences like, “No omniscient entity knows that which this very sentence expresses,” which suggest that there are truths which no omniscient entity knows. In this paper, I consider two strategies for addressing these challenges: The Common Strategy, which dismisses such self-referential sentences as meaningless, and The Conciliatory Strategy, which discounts them as quirky outliers with no impact on one’s status as being omniscient. I argue that neither strategy succeeds. The Common Strategy (...)
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  • On the Role of Logic in Analytic Theology: Exploring the Wider Context of Beall’s Philosophy of Logic.A. J. Cotnoir - 2019 - Journal of Analytic Theology 7 (1):508-528.
    What is the proper role of logic in analytic theology? This question is thrown into sharp relief when a basic logical principle is questioned, as in Beall’s ‘Christ – A Contradiction.’ Analytic philosophers of logic have debated between exceptionalism and anti-exceptionalism, with the tide shifting towards anti-exceptionalism in recent years. By contrast, analytic theologians have largely been exceptionalists. The aim of this paper is to argue for an anti-exceptionalist view, specifically treating logic as a modelling tool. Along the way I (...)
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  • The Contradictory God Thesis and Non-Dialetheic Mystical Contradictory Theism.Ricardo Sousa Silvestre - forthcoming - International Journal for Philosophy of Religion.
    When faced with the charge that a given concept of God is contradictory, the standard move among philosophers and theologians has been to try to explain away the contradiction and show that the concept of God in question is consistent. This has to do, of course, with the Law of Non-Contradiction (LNC). Another option, which has recently generated interest among logicians and analytic philosophers of religion, is to reject such a move as unnecessary and defend what might be called the (...)
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  • God, gluts and evil.Jc Beall - forthcoming - Analysis.
    Traditional monotheism appears to many to involve contradiction in basic 'omni' properties (e.g. omnipotence and too-heavy stones, etc.). A glut-theoretic account of such problems treats them as gluts (dual to familiar truth-value gaps): 'omnipotence' is both true of and false of God. Many philosophers, glut theorists and otherwise, acknowledge that such a glut-theoretic account of at least some traditional omni-god problems is natural, at least in the abstract. But what about the problem of evil? The unanimous view even among glut (...)
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  • Complete Symposium on Jc Beall's Christ – A Contradiction: A Defense of Contradictory Christology.Jc Beall, Timothy Pawl, Thomas McCall, A. J. Cotnoir & Sara L. Uckelman - 2019 - Journal of Analytic Theology 7 (1):400-577.
    The fundamental problem of Christology is the apparent contradiction of Christ as recorded at Chalcedon. Christ is human and Christ is divine. Being divine entails being immutable. Being human entails being mutable. Were Christ two different persons there’d be no apparent contradiction. But Chalcedon rules as much out. Were Christ only partly human or only partly divine there’d be no apparent contradiction. But Chalcedon rules as much out. Were the very meaning of ‘mutable’ and/or ‘immutable’ other than what they are, (...)
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  • Atheism and Dialetheism; or, ‘Why I Am Not a (Paraconsistent) Christian’.Zach Weber - 2019 - Australasian Journal of Philosophy 97 (2):401-407.
    ABSTRACTIn ‘Theism and Dialetheism’, Cotnoir explores the idea that dialetheism can help with some puzzles about omnipotence in theology. In this note, I delineate another asp...
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  • (1 other version)Divine foreknowledge and human freedom: exploring a gap-theoretic account.Michael DeVito - 2023 - Asian Journal of Philosophy 2 (1):1-18.
    The recent work of logician Jc Beall marks a paradigm shift within the fields of analytic theology and philosophy of religion. Thanks to Beall’s work, the long held (and generally unquestioned) assumption that theology is governed by (or closed under) the classical account of logic, is no longer free for the assumption. More importantly, by dropping this unquestioned commitment to the classical account, Beall’s work has uncovered natural and well-motivated solutions to some of monotheistic theologies’ most difficult and longstanding problems. (...)
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  • Fission theories of Original Guilt.Nikk Effingham - 2022 - International Journal for Philosophy of Religion 92 (1):15-30.
    One reading of the Doctrine of Original Sin has it that we are guilty of a sin committed by Adam, thousands of years ago. Fission theorists account for this by saying that Adam fissioned after he sinned and that each of us is one of his ‘fission successors’. This paper recaps the current discussion in the literature about this theory, arguing that the proposed version does not work for reasons already raised by Rea and Hudson. I then introduce a new (...)
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  • God, Gluts and Gaps: Examining an Islamic Traditionalist Case for a Contradictory Theology.Safaruk Zaman Chowdhury - 2020 - History and Philosophy of Logic 42 (1):17-43.
    In this paper, I examine the deep theological faultline generated by divergent understandings of the divine attributes among two early antagonistic Muslim groups – the traditionalists (main...
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