A selective background -- Broadly classical approaches -- Paracompleteness -- More on paracomplete solutions -- Paraconsistent dialetheism.

Consequence is at the heart of logic; an account of consequence, of what follows from what, offers a vital tool in the evaluation of arguments. Since philosophy itself proceeds by way of argument and inference, a clear view of what logical consequence amounts to is of central importance to the whole discipline. In this book JC Beall and Greg Restall present and defend what thay call logical pluralism, the view that there is more than one genuine deductive consequence relation, a (...) position which has profound implications for many linguists as well as for philosophers. We should not search for one true logic, since there are many. (shrink)

This comprehensive reference provides an exhaustive guide to current scholarship on the perennial problem of Free Will--perhaps the most hotly and voluminously debated of all philosophical problems. While reference is made throughout to the contributions of major thinkers of the past, the emphasis is on recent research. The essays, most of which are previously unpublished, combine the work of established scholars with younger thinkers who are beginning to make significant contributions. Taken as a whole, the Handbook provides an engaging and (...) accessible roadmap to the state of the art thinking on this enduring topic. (shrink)

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 (...) theorists (including myself until now) has long been clear: gluts have nothing to offer in response to the problem of evil even if they are involved in true theology elsewhere. This paper refutes said view by advancing a simple glut-theoretic response to the target problem of evil on the assumption that gluts are involved in the theology elsewhere (notably, at 'omnipotent' or 'omniscient' or both). (shrink)

Consequence is at the heart of logic, and an account of consequence offers a vital tool in the evaluation of arguments. This text presents what the authors term as 'logical pluralism' arguing that the notion of logical consequence doesn't pin down one deductive consequence relation; it allows for many of them.

This essay marks the first steps towards a viable glut-theoretic (contradictory) solution to the longstanding foreknowledge and free will dilemma. Specifically, I offer a solution to the dilemma that accommodates omniscience (foreknowledge) and human freedom (as the ability to do otherwise) in a simple, flat-footed way. This goal is accomplished via viewing the theological fatalist argument not as a problem, but as a sound argument: omniscience and human free will are contradictory and by dropping to a weaker underlying account of (...) logical consequence, we can embrace them in their full-throated, robust (though contradictory) interpretations. That said, the primary aim of this paper is one of exploration: how does a subclassical solution to the foreknowledge and free will dilemma stack up in comparison to the traditional solutions on offer in the literature. This essay represents the beginning of such an exploration. (shrink)

This Element considers the relationship between the traditional view of God as all-powerful, all-knowing and wholly good on the one hand, and the idea of human free will on the other. It focuses on the potential threats to human free will arising from two divine attributes: God's exhaustive foreknowledge and God's providential control of creation.

Yujin Nagasawa presents a new, stronger version of perfect being theism, the conception of God as the greatest possible being. Nagasawa argues that God should be understood, not as omniscient, omnipotent, and omnibenevolent, but rather as a being that has the maximal consistent set of knowledge, power, and benevolence.

Free Will brings together the essential readings on the debate of free will and determinism. Written by top scholars in the field, the essays represent some of the clearest and most accessible thinking on this subject. The introduction offers a concise yet thorough mapping of this age-old debate as well as a helpful overview of the selections.

This chapter analyses the problem of free will and moral responsibility, to which the history of philosophy records three standard reactions. Compatibilists maintain that it is possible for us to have the free will required for moral responsibility if determinism is true. Others contend that determinism is not compossible with our having the free will required for moral responsibility – they are incompatibilists – but they resist the reasons for determinism and claim that we do possess free will of this (...) kind. They advocate the libertarian position. Hard determinists are also incompatibilists, but they accept that determinism is true and that we lack the sort of free will required for moral responsibility. Source and leeway theories, and the notions of incompatibilism and libertarianism, are discussed. (shrink)

Logical paradoxes – like the Liar, Russell's, and the Sorites – are notorious. But in Paradoxes and Inconsistent Mathematics, it is argued that they are only the noisiest of many. Contradictions arise in the everyday, from the smallest points to the widest boundaries. In this book, Zach Weber uses “dialetheic paraconsistency” – a formal framework where some contradictions can be true without absurdity – as the basis for developing this idea rigorously, from mathematical foundations up. In doing so, Weber directly (...) addresses a longstanding open question: how much standard mathematics can paraconsistency capture? The guiding focus is on a more basic question, of why there are paradoxes. Details underscore a simple philosophical claim: that paradoxes are found in the ordinary, and that is what makes them so extraordinary. (shrink)

This original analysis examines the three leading traditional solutions to the dilemma of divine foreknowledge and human free will--those arising from Boethius, from Ockham, and from Molina. Though all three solutions are rejected in their best-known forms, three new solutions are proposed, and Zagzebski concludes that divine foreknowledge is compatible with human freedom. The discussion includes the relation between the foreknowledge dilemma and problems about the nature of time and the causal relation; the logic of counterfactual conditionals; and the differences (...) between divine and human knowing states. An appendix introduces a new foreknowledge dilemma that purports to show that omniscient foreknowledge conflicts with deep intuitions about temporal asymmetry, quite apart from considerations of free will. Zagzebski shows that only a narrow range of solutions can handle this new dilemma. A compelling contribution to the field, The Dilemma of Freedom and Foreknowledge will appeal to students and scholars of theistic philosophy and the philosophy of religion. (shrink)

We typically think we have free will. But how could we have free will, if for anything we do, it was already true in the distant past that we would do that thing? Or how could we have free will, if God already knows in advance all the details of our lives? Such issues raise the specter of "fatalism". This book collects sixteen previously published articles on fatalism, truths about the future, and the relationship between divine foreknowledge and human freedom, (...) and includes a substantial new introductory essay and bibliography. Many of the pieces collected here build bridges between discussions of human freedom and recent developments in other areas of metaphysics, such as philosophy of time and the nature of metaphysical "dependence". Ideal for courses in free will, metaphysics, and philosophy of religion, Freedom, Fatalism, and Foreknowledge will encourage important new directions in thinking about free will, time, and truth. (shrink)

A common and much-explored thought is Łukasiewicz's idea that the future is ‘indeterminate’—i.e., ‘gappy’ with respect to some claims—and that such indeterminacy bleeds back into the present in the form of gappy ‘future contingent’ claims. What is uncommon, and to my knowledge unexplored, is the dual idea of an overdeterminate future—one which is ‘glutty’ with respect to some claims. While the direct dual, with future gluts bleeding back into the present, is worth noting, my central aim is simply to sketch (...) and briefly explore an alternative glutty-future view, one that is conservative—indeed, entirely classical—with respect to the present. The structure of the paper runs as follows. §1 briefly sketches the target gap picture of an indeterminate future yielding gappy claims at the present. §2 presents the direct dual idea—a glut picture of an overdeterminate future yielding glutty claims at present. §3 sketches the central idea, a more interesting glut picture in which the future contains contradictory states but the present remains entirely classical. §4 contains a general defence of the idea, leaving it open as to whether the gappy-future view enjoys substantive virtues over the proposed glutty-future view of §3. (shrink)

In this short, lucid, rich book, Sir Michael Dummett, perhaps the most eminent living British philosopher, sets out his views about some of the deepest questions in philosophy. The fundamental question of metaphysics is: what does reality consist of? Dummett puts forward his controversial view of reality as indeterminate: there may be no fact of the matter about whether an object does or does not have a given property.

This book deals with an old conundrum: if God knows what we will choose tomorrow, how can we be free to choose otherwise? If all our choices are already written, is our freedom simply an illusion? This book provides a precise analysis of this dilemma using the tools of modern ontology and the logic of time. With a focus on three intertwined concepts - God's nature, the formal structure of time, and the metaphysics of time, including the relationship between temporal (...) entities and a timeless God - the chapters analyse various solutions to the problem of foreknowledge and freedom, revealing the advantages and drawbacks of each. Building on this analysis, the authors advance constructive solutions, showing under what conditions an entity can be omniscient in the presence of free agents, and whether an eternal entity can know the tensed futures of the world. The metaphysics of time, its topology and the semantics of future tensed sentences are shown to be invaluable topics in dealing with this issue. Combining investigations into the metaphysics of time with the discipline of temporal Logic this monograph brings about important advancements in the philosophical understanding of an ancient and fascinating problem. The answer, if any, is hidden in the folds of time, in the elusive nature of this feature of reality and in the infinite branching of our lives. (shrink)

The divine attributes of omniscience and omnipotence have faced objections to their very consistency. Such objections rely on reasoning parallel to semantic paradoxes such as the Liar or to set-theoretic paradoxes like Russell's paradox. With the advent of paraconsistent logics, dialetheism—the view that some contradictions are true—became a major player in the search for a solution to such paradoxes. This paper explores whether dialetheism, armed with the tools of paraconsistent logics, has the resources to respond to the objections levelled against (...) the divine attributes. (shrink)

Our Fate is a collection of John Martin Fischer's previously published articles on the relationship between God's foreknowledge and human freedom. The book contains a new introductory essay that places all of the chapters in the book into a cohesive framework. The introductory essay also provides some new views about the issues treated in the book, including a bold and original account of God's foreknowledge of free actions in a causally indeterministic world. The focus of the book is a powerful (...) traditional argument for the incompatibility of God's foreknowledge and human freedom to do otherwise. Fischer presents this argument and defends it against some of the most salient criticisms, especially Ockhamism.The incompatibilist's argument is driven by the fixity of the past, and, in particular, the fixity of God's prior beliefs about our current behavior. The author gives special attention to Ockhamism, which contends that God's prior beliefs are not "over-and-done-with" in the past, and are thus not subject to the intuitive idea of the fixity of the past. In the end, Fischer defends the argument for the incompatibility of God's foreknowledge and human freedom to do otherwise, but he further argues that this incompatibility need not entail the incompatibility of God's foreknowledge and human moral responsibility. Thus, through this collection of essays, Fischer develops a "semicompatibilist" view--the belief that God's foreknowledge is entirely compatible with human moral responsibility, even if God's foreknowledge rules out freedom to do otherwise. (shrink)

Traditional monotheism has long faced logical puzzles. We argue that such puzzles rest on the assumed logical truth of the Law of Excluded Middle, which we suggest there is little theological reason to accept. By way of illustration we focus on God's alleged stone problem, and present a simple but plausible ‘gappy’ framework for addressing this puzzle. We assume familiarity with the proposed logic but an appendix is offered as a brief review.

Over the past three decades, I have been developing a distinctive view of free will motivated by a desire to reconcile a non-determinist view of free will with modern science as well as with recent developments in philosophy. A view of free will of the kind I defend did not exist in a developed form before the 1980s, but is now discussed in the philosophical literature as one of three chief options an incompatibilist or libertarian view of free will might (...) take. As such, this view has been the subject of much recent discussion. In this paper, I explain and defend my view of free will, and answer recent criticisms of it. Some of these criticisms are made by Robert Allen in his paper “Self-forming Actions,” a contribution to the seminar of which the present paper is a part. I also respond to Katherin Rogers’ contribution to this seminar “Libertarianism in Kane and Anselm.” Her book, Anselm on Freedom, argues that Anselm defended a unique libertarian view of free will, avoiding both Pelagianism and Augustine’s later compatibilism, a view that she argues has affinities to my view of free will. I also discuss these affinities to Anselm in my paper and their theological and well as philosophical implications. (shrink)