Fragmentalism allows incompatible facts to constitute reality in an absolute manner, provided that they fail to obtain together. In recent years, the view has been extensively discussed, with a focus on its formalisation in model-theoretic terms. This paper focuses on three formalisations: Lipman’s approach, the subvaluationist interpretation, and a novel view that has been so far overlooked. The aim of the paper is to explore the application of these formalisations to the alethic modal case. This logical exploration will allow us (...) to study (i) cases of metaphysical incompatibility between modal facts and (ii) cases of modal dialetheias. In turn, this will enrich our understanding of the role of impossibility in the fragmentalist framework. (shrink)

This volume announces a new era in the philosophy of God. Many of its contributions work to create stronger links between the philosophy of God, on the one hand, and mathematics or metamathematics, on the other hand. It is about not only the possibilities of applying mathematics or metamathematics to questions about God, but also the reverse question: Does the philosophy of God have anything to offer mathematics or metamathematics? The remaining contributions tackle stereotypes in the philosophy of religion. The (...) volume includes 35 contributions. It is divided into nine parts: 1. Who Created the Concept of God; 2. Omniscience, Omnipotence, Timelessness and Spacelessness of God; 3. God and Perfect Goodness, Perfect Beauty, Perfect Freedom; 4. God, Fundamentality and Creation of All Else; 5. Simplicity and Ineffability of God; 6. God, Necessity and Abstract Objects; 7. God, Infinity, and Pascal's Wager; 8. God and (Meta-)Mathematics; and 9. God and Mind. (shrink)

We argue that there is a conflict among classical theism's commitments to divine simplicity, divine creative freedom, and omniscience. We start by defining key terms for the debate related to classical theism. Then we articulate a new argument, the Aloneness Argument, aiming to establish a conflict among these attributes. In broad outline, the argument proceeds as follows. Under classical theism, it's possible that God exists without anything apart from Him. Any knowledge God has in such a world would be wholly (...) intrinsic. But there are contingent truths in every world, including the world in which God exists alone. So, it's possible that God contingently has wholly intrinsic knowledge. But whatever is contingent and wholly intrinsic is an accident. So, God possibly has an accident. This is incompatible with classical theism. Finally, we consider and rebut several objections. (shrink)

In recent years the doctrine of divine simplicity has become a topic of interest in the philosophical theological community. In particular, the modal collapse argument against divine simplicity has garnered various responses from proponents of divine simplicity. Some even claiming that the modal collapse argument is invalid. It is our contention that these responses have either misunderstood or misstated the argument, and have thus missed the force of the objection. Our main aim is to clarify what the modal collapse argument (...) in fact says, and explain why the recent responses do not succeed. In order to argue our case, we will proceed in several steps. First, we aim to systematically articulate the doctrine of divine simplicity. Second, articulate the Christian conviction that God is free to create any feasible world or no world at all. Third, argue that divine simplicity suffers a modal collapse and thus undermines God's freedom. Fourth, respond to potential objections to modal collapse. Fifth, we offer some concluding remarks. (shrink)

A family of objections to theism aims to show that certain key theological doctrines, when held in conjunction, are incompatible. The longstanding problem of divine foreknowledge and human freedom represents one such objection. In this essay, we provide the theist an epistemic approach to the problem that allows for the rational affirmation of both divine foreknowledge and human freedom despite their prima facie incompatibility. Specifically, we apply James Anderson’s Rational Affirmation of Paradox Theology model to the problem, arguing that the (...) theist can stave off defeat that arises from a belief in the conjunction of both doctrines by appealing to paradox. In order to establish this thesis, we first define key terms as well as lay out the theological fatalist argument. Next, we explicate Anderson’s model and apply it to the foreknowledge and freedom problem. We conclude by addressing the objection that an appeal to paradox is simply special pleading for the theist, arguing that the naturalist can be found in a similar epistemic position. (shrink)

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. (...) That said, much of Beall’s work (and the work of others who have followed his lead) has been paraconsistent, utilizing glut-theoretic (contradictory) models to solve theologies problems. In this essay, my plan is to go paracomplete, with the aim of exploring a yet to be explored solution to the infamous foreknowledge and freedom problem. My solution finds its roots in the recent work Jc Beall and Aaron Cotnoir (‘God of the Gaps’, Analysis, 2017). Specifically, in this essay I will explore a gap-theoretic solution to the foreknowledge and freedom problem; one in which it is neither true nor false that God has foreknowledge. By utilizing Beall’s and Cotnoir’s model — which sees limit claims on God’s omni-properties as either just false or gappy — a natural and well-motivated solution to the foreknowledge and freedom problem emerges. Moreover, by utilizing the Beall-Cotnoir gap-theoretic model, not only is the foreknowledge and freedom problem circumvented, but an interesting and novel account of divine omniscience emerges. (shrink)