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  1. Consistency, possibility, and Gödel: a reply to Pruss.Michael Burton - 2022 - Philosophical Studies 179 (12):3671-3677.
    Alexander Pruss has given a quick argument against the claim that consistency is possibility using Gödel’s second incompleteness theorem. The argument does not distinguish metalanguage claims of consistency from object-language ones, rendering it unsound.
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  • Conjunctions, Disjunctions and Lewisian Semantics for Counterfactuals.Alexander R. Pruss - 2007 - Synthese 156 (1):33-52.
    Consider the reasonable axioms of subjunctive conditionals if p → q1 and p → q2 at some world, then p → at that world, and if p1 → q and p2 → q at some world, then → q at that world, where p → q is the subjunctive conditional. I show that a Lewis-style semantics for subjunctive conditionals satisfies these axioms if and only if one makes a certain technical assumption about the closeness relation, an assumption that is probably (...)
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  • Explanation, Entailment, and Leibnizian Cosmological Arguments.Christopher G. Weaver - 2009 - Metaphysica 10 (1):97-108.
    I argue that there are Leibnizian-style cosmological arguments for the existence of God which start from very mild premises which affirm the mere possibility of a principle of sufficient reason. The utilization of such premises gives a great deal of plausibility to such types of argumentation. I spend the majority of the paper defending three major objections to such mild premises viz., a reductio argument from Peter van Inwagen and William Rowe, which proffers and defends the idea that a necessary (...)
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  • Modality is Not Explainable by Essence.Carlos Romero - 2019 - Philosophical Quarterly 69 (274):121-141.
    Some metaphysicians believe that metaphysical modality is explainable by the essences of objects. In §II, I spell out the definitional view of essence, and in §III, a working notion of metaphysical explanation. Then, in §IV, I consider and reject five natural ways to explain necessity by essence: in terms of the principle that essential properties can't change, in terms of the supposed obviousness of the necessity of essential truth, in terms of the logical necessity of definitions, in terms of Fine's (...)
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  • The Uniqueness of Necessary Truth and the Status of S4 and S5.Marco Hausmann - 2021 - Theoria 87 (6):1635-1650.
    The aim of this paper is to relate the debate about the status of S4 and S5 as modal logics for metaphysical modality to the debate about the identity of propositions. The necessary truth of the characteristic axioms of S4 and S5 (when interpreted in terms of metaphysical modality) is derived from a view about the identity of propositions, the view that necessarily equivalent propositions are identical.
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  • Sketch for a formal natural theology: Existence and uniqueness of God.Fábio M. Bertato - 2021 - Manuscrito 44 (4):607-630.
    In this paper, I present a proposal for a Formal Natural Theology. The approach employed for this task is through a first-order theory, in which fundamental concepts such as divine, necessary, and supreme beings, are formally introduced, which allow obtaining the theorems of existence and uniqueness of a divine being, according to the perspective of classical theism.
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