Jim Sterba’s Is a Good God Logically Possible? looks to resurrect J. L. Mackie’s logical argument from evil. Sterba accepts the general framework that theists seeking to give a theodicy have favored since Leibniz invented the term: the search for some greater good provided or greater evil averted that would justify God in permitting the type and variety of evil we actually observe. However, Sterba introduces a deontic twist, drawing on the Pauline Principle (let us not (...) do evil that good may come) to introduce three deontic side constraints on God’s choice of action. He then splits the possible goods into four categories: first- vs. second-order goods, goods to which we have a right, and goods to which we do not have a right. He argues that his deontic constraints rule out each combination, thereby showing that no God-justifying good is on offer. To defuse the argument, I draw on a pair of ideas from Marilyn McCord Adams: (i) God is outside the bounds of morality, and (ii) God can defeat evils by incorporating them into an incommensurately valuable friendship with each human. Properly appreciated, these show that the new logical argument relies on a false premise that is not easily repaired. (shrink)

J. L. Schellenberg, in “A New Logical Problem of Evil,” published in The Blackwell Companion to the Problem of Evil, argues that (if God exists) God has, of necessity, a disappreciation of evil, operating at a metalevel in such a way as to give God a non-defeasible reason to rule out actualizing a world containing evil. He also argues that since God’s motive in creating the world is to share with finite beings the (...) good that God experiences prior to creation, which is good without evil, it follows that God will create a world that contains no evil. I investigate in detail the foregoing lines of argument and provide grounds for rejecting them. My paper is published in Vol 38 No.2, whose date is nominally April 2021 although the issue is not in fact available yet. (shrink)

In seeking to undermine Mackie’s logical argument from evil, Plantinga assumes that Mackie’s argument regards it as a necessary truth that a wholly good God would eliminate all evil that he could eliminate. I argue that this is an interpretative mistake, and that Mackie is merely assuming that the theist believes that God’s goodness entails that God would eliminate all evil that he could eliminate. Once the difference between these two assumptions, and the implausibility of Plantinga’s (...) assumption, are brought out, Plantinga’s celebrated critique of Mackie’s argument can be seen to be far less compelling than is often assumed to be the case. (shrink)

The problem of evil typically allows the existence of evil to go unchecked. However, in order to be able to press the problem of evil against the theist, the skeptic must offer an account of evil. We examine several of these God-independent accounts and show how difficult it is to define evil without ultimately relying on the metaphysics of value that theism provides. On the other hand, according to the God-dependent account of (...) class='Hi'>evil that we endorse, God is logically and metaphysically antecedent to evil. Thus, in either case, the “problem” of evil for the theist can never coherently arise. (shrink)

It is widely held that the logical problem of evil, which alleges an inconsistency between the existence of evil and that of an omnipotent and morally perfect God, has been solved. D. Z. Phillips thinks this is a mistake. In The Problem of Evil and the Problem of God, he argues that, within the generally assumed framework, “neither the proposition ’God is omnipotent’ nor the proposition ‘God is perfectly good’ can get off the (...) ground.” Thus, the problem of evil leads to the problem of God. Phillips goes on to provide an alternative response to the problem of evil, expounded by means of his Wittgensteinian analyses of various concepts drawn from the Christian tradition. I argue that his criticisms of the traditional conception of God either fail outright or are at best inconclusive. I also point out that the religious concepts analyzed by Phillips are not and cannot be the same concepts as those employed in the Christian tradition from which they are supposedly drawn. For the concepts as traditionally employed presuppose the actual existence and activity of precisely the sort of being that, according to Phillips, “God cannot be.”. (shrink)

Dwayne Moore’s "A Naturalistic Theodicy for Sterba’s Problem of Natural Evil," (Moore, 2024) provides a detailed critique of my logical argument from evil against the existence of the God of traditional theism. While there have been many critiques of my logical argument against the existence of the God of traditional theism from moral evil to which I have replied (2020b, 2020c, 2021, 2023), there has been only one previous critique that was directed at my (...) logical argument from natural evil (see Jordan, 2023 ). Accordingly, I welcome this opportunity to show how my logical argument from natural evil works against Moore’s critique. (shrink)

The late Dr. William Hatcher was renowned both as an accomplished mathematician, logician and philosopher, and as one of the world?s foremost Bahá?í scholars. To those who knew him, he was also refreshingly approachable, supportive, honest and engaging. In this small but richly insightful volume, modern mathematics and logic meet religion and philosophy in a new and stimulating way. The five essays are entitled: "Platonism and Pragmatism", "Myths, Models and Mysticism", "From Metaphysics to Logic", "A Logical Solution to the (...) Problem of Evil", and "Science and the Bahá?í Faith" With characteristic originality, Dr. Hatcher explores the interface between these disciplines now approaching each other after centuries of mutual mistrust. These valuable intellectual contributions assist the reader to bring into closer harmony the two ultimate realms expressive of essential human nature - namely that of science and of religion. (shrink)

I discuss a collection of problems in relevance logic. The main problems discussed are: the decidability of the positive semilattice system, decidability of the fragments of R in a restricted number of variables, and the complexity of the decision problem for the implicational fragment of R. Some related problems are discussed along the way.

A few years ago, believing that human thinking is nonmonotonic, I tried to reconstruct a nonmonotonic reasoning by application of two monotonic procedures. I called them “step forward” and “step backward” (see [4]). The first procedure is just a consequence operation responsible for an extension of the set of beliefs. The second one, defined on the base of the logic of falsehood reconstructed for the given logic of truthfulness, is responsible for a reduction of the set of beliefs. Both procedures (...) taken together were successfully verified by using so-called AGM (see [5]), postulates for expansion, contraction and revision formulated by Alchourrón, Gärdenfors and Makinson (e.g. [1]). Reasoning composed of the mutual application of both procedures seemed to be quite natural for modeling our thinking. At that time, I supposed that it should be nonmonotonic but I was wrong. It turned out impossible to satisfy a definition of the nonmonotonic inference by reasoning composed both steps. To understand why this is impossible, I began to analyze how nonmonotonicity is obtainable in some well-known cases in the literature. I analyzed the problem from two points of view: (1) non-formal examples for nonmonotonicity and (2) formal constructions of nonmonotonic operations/relations. The result of those investigations was astonishing: none of the considered by me cases of nonmonotonicity belonging to point (1) and almost none belonging to (2) satisfies the definition of nonmonotonic inference. Arguments against the nonmonotonic character of well-known examples for nonmonotonicity of human thinking are more precisely presented in [6]. I present them below an abbreviated version of them. (shrink)

The theory-theory of human uniqueness posits that the capacity to theorize, in a way strongly analogous to theorizing in scientific practice, was a key innovation in the hominid lineage and was responsible for many of our unique cognitive traits. One of the central arguments that its proponents have used to support the claim that animals are not theorists, the logical problem, bears strong similarities to Hempel's theoretician's dilemma, which purports to show that theories are unnecessary. This similarity threatens (...) to undermine both the claim that theorizing serves a unique, adaptive role in human cognition and our ability to test for the presence of theories. I examine two historical responses to the theoretician's dilemma and argue that they open up strategies for experimentally testing for theoretical ability in other animals. (shrink)

When, if ever, is one justified in accepting the premises of an argument? What is the proper criterion of premise acceptability? Can the criterion be theoretically or philosophically justified? This is the first book to provide a comprehensive theory of premise acceptability and it answers the questions above from an epistemological approach that the author calls common sense foundationalism. It will be eagerly sought out not just by specialists in informal logic, critical thinking, and argumentation theory but also by a (...) broader range of philosophers and those teaching rhetoric. (shrink)

This book consists of 220 logic problems on which students can practice their beginner's logic skills. At least one solution is provided for each exercise. The point is to provide a vehicle for practice that will not make additional demands on the instructor's time. In addition, Logic Problems, unlike most other "secondary" texts, does not require the additional purchase of a primary text. It includes sentential and predicate arguments, and employs truth tables, formal proofs, conditional proofs and reductio. Contents: The (...) Apparatus; Sentential Problems; Predicate Problems; Sentential Solutions; Predicate Solutions. (shrink)

This chapter looks at a range of objections to theism that one might class as “logical.” Some of these objections aim to show that theism involves an internal logical contradiction. Others aim to show that theism is at least logically incompatible with other beliefs to which the theist is also typically committed. Also included are objections grounded in the thought that theism is nonsensical or meaningless. The chapter provides both an overview of this broad terrain, including a map (...) of possible responses to different kinds of objection, and then a number of examples. (shrink)

A defense of the neo-Lockean theory of personal identity. Wiggins' objection to relative identity is met by a person-stage interpretation of the neo-Lockean theory. This interpretation is subject to the objections that person-stages are not logically independent of persons and that person-stages cannot have the properties of persons. These objections are met in large part by regarding person-stages as somewhat arbitrary divisions of persons whose postulation is justified by the requirements set by Leibniz's Law and our reflective intuitions.

A defense of the neo-Lockean theory of personal identity. Wiggins' objection to relative identity is met by a person-stage interpretation of the neo-Lockean theory. This interpretation is subject to the objections that person-stages are not logically independent of persons and that person-stages cannot have the properties of persons. These objections are met in large part by regarding person-stages as somewhat arbitrary divisions of persons whose postulation is justified by the requirements set by Leibniz's Law and our reflective intuitions.

In lieu of an abstract, here is a brief excerpt of the content:Evil as the Good?A Reply to Brook ZiporynDavid R. LoyI was surprised to receive this lengthy response to my short review—yet not displeased, for the important question is, of course, how much Professor Ziporyn's reply helps to clarify the issues at stake, which we agree deserve to be pursued. One of the many admirable aspects of his Evil and/or/as the Good is that, in addition to presenting (...) the Tiantai ethical position in its historical context, it argues forcefully for the validity and relevance of that approach today. Moreover, I am pleased at the way Ziporyn's response focuses the argument of his rich and dense book, so I welcome this opportunity to continue the discussion. And perhaps those who have read this far will also be pleased that I am able to present my main concerns somewhat more concisely.Ziporyn begins with the relationship between ultimate and provisional truth, usually the crux of the matter from a Mahāyāna perspective. In response to a point I make—that ethically the nondual 'ultimate' point of view needs to be supplemented by a provisional 'lower truth' that distinguishes between good and evil—he emphasizes that according to Tiantai "conventional truth and ultimate truth are actually identical" (his italics) and that the conventional truth embraces all possible assertions, beliefs, and positions. Later, he elaborates that "provisional truth is a portion of ultimate truth, in a peculiar omnicentric sort of whole/part relation in which each part in fact contains the whole." The important term remains identity, for according to Tiantai "the idea that two entities might be mutually implicative and dependent, not adventitiously but in their nature, and yet not identical, is logically impossible." Ethically, of course, this means something more than the interdependence of good and evil: it is not only that "the most horrible evils are ineradicable, built into the absolute unchangeable nature of all existence, and fully and eternally present even in Buddhahood," but that "greed, anger, and delusion would be seen to be identical with Buddhahood, in accordance with precisely this Tiantai doctrine of the interpenetration of good and evil."As in the original review, my main point is that this emphasis on the identity of conventional truth and ultimate truth is an important insight, but one that turns out to be quite problematic ethically. Its value is mostly epistemological and metaphysical: it helps us escape from the kind of dualism that often postulates some 'higher' transcendental reality corresponding to a 'higher' ultimate truth. Instead, the 'higher' is not separate from the provisional and conventional, but the truth (whether realized or not) is that the whole 'ultimate' is completely contained within each conventional part or provisional position.Dōgen somewhere makes the point that the goal is not to eradicate concepts (which is a dualistic approach to practice, seeking a purified mind that transcends language) but to liberate concepts. What becomes important is our ability to move [End Page 348] (and play) freely among the multiplicity of linguistic possibilities—in Ziporyn's terms, to 'recontextualize' without getting stuck in any particular context or conceptual system. Nothing is lacking in any of these possibilities; in terms of Indra's Net, each node manifests the whole. We are not liberated from language, except in the sense that we are not trapped in any particular language game; rather, we are liberated in language. We should not blame the victim: the problem is not language itself, but our tendencies to cling to some concepts, et cetera, more than others- including, for example, our dualistic tendency to discriminate between 'good' and 'evil' in order to identify with the former by annihilating the latter (a very timely topic, unfortunately).But good and evil for Ziporyn are more than interdependent. He claims that they are identical, and that is where difficulties arise. The epistemological point about the identity of the two truths becomes more problematical when we move into ethics, where the 'cash value' is somewhat more obvious and immediate, in the sense that we need ethics to help us cope with moral choices that we find ourselves required to make in daily life, in circumstances not always... (shrink)

It is widely agreed that the ‘Logical’ Argument from Evil (LAFE) is bankrupt. We aim to rehabilitate the LAFE, in the form of what we call the Normatively Relativised Logical Argument from Evil (NRLAFE). There are many different versions of a NRLAFE. We aim to show that one version, what we call the ‘right relationship’ NRLAFE, poses a significant threat to personal-omniGod-theism—understood as requiring the belief that there is an omnipotent, omniscient, perfectly good person who has (...) created our world—because it appeals to value commitments theists themselves are likely to endorse. The ultimate success of this NRLAFE will rest on developing a theological ethics of right relationship that rejects as morally flawed the exercise of omnipotence first to sustain horrors and then to redeem them. Yet a vindicated NRLAFE of this sort need not require atheism, but only rejection of the standard conception of God as a personal omniGod. (shrink)

Logic problems Content Type Journal Article Pages 1-4 DOI 10.1007/s11016-011-9538-0 Authors Yannis Stephanou, Department of Philosophy and History of Science, University of Athens, University Campus, 157 71 Athens, Greece Journal Metascience Online ISSN 1467-9981 Print ISSN 0815-0796.

The normatively relativised logical argument from evil (NRLA) of John Bishop and Ken Perszyk (2011) argues that belief in a personal omniperfect God is incompatible with any redemptive theodicy in which God both contrives the conditions of our earthly suffering and rescues us from these conditions by means of and for the sake of relationship with God, since any such union would be less than perfectly good as a personal relationship. Their argument is normatively relativised because the claim (...) that such a relationship is defective has force if the theist is committed to values which entail this normative claim. For Bishop and Perszyk, this is so with a theological ethics that has the notion of right relationship at its centre, which they think follows from a theology that understands God’s goodness primarily in terms of the attribute of love. On this view, love is supremely good personal relationship experienced for its own sake as a good in itself, God creates the world to enter into such relationships with other personal beings, and eternal union with God is the highest human good. The NRLA is a logical argument from evil because, according to Bishop and Perszyk, any sophisticated theist would endorse a theological ethics of this sort, rather than evade the NRLA with a utilitarian response. Therefore, the best theistic explanations of evil will always be internally inconsistent. I argue that the NRLA looks persuasive against redemptive theodicies and defences committed to a theology of divine love, but fails as a logical argument because an explanation of evils may be derived from an alternative conception of God’s goodness without sacrificing a theological ethics of right relationship. To support the first part of this argument I develop a parallel between the God of Eleonore Stump’s theodicy of redemptive suffering and a person with Munchausen Syndrome by Proxy, a psychological disorder in which an abuser harms a victim under their care to manipulate others into praising the abuser for their apparent caregiving. The analogy adapted to illustrate the NRLA has the abuser contrive the conditions of their victim’s suffering so that rescuing them from these conditions may cause the victim to love the abuser, a parallel that Stump’s distinction between God’s antecedent and consequent will fails to evade. Building on intuitions about the wrongness of such relationships, I employ a Rawlsian comparison of the world of Stump’s theodicy and two other possible worlds a loving God might be expected to create for the purpose of uniting with us, to examine which one a rational human agent deciding under a veil of ignorance would prefer to be actualized in if given a choice. The comparison shows Stump’s divine-human union to be less than supremely loving, because on a theological ethics of divine love the Rawlsian agent should expect Stump’s God to be more supportive and less demanding in contriving the conditions of this relationship. To show how the NRLA fails as a logical argument I employ a distinction made by J.L. Schellenberg (1993) between divine love and benevolence to derive a solution from the latter. In this solution, a benevolent God who selflessly desires the good wants to maximise the goodness of a world created because a world where other goods exist apart from the being of God is better than one where only God exists. God is not simply a utilitarian, however, because maximising created goodness in part consists in the flourishing of personal beings like us. Divine-human relations are therefore essential, but not the kind valued in a theological ethics of divine love. Rather, the rightness of God’s relationships may be understood in terms of what might be expected of the best kinds of relations between a benevolent king and his subjects. On this view, the King acting for the good of his subjects enters into various forms and levels of relations with them that are constitutive of the flourishing of his kingdom, but these are not the sole end for which the kingdom was created, while the King’s great power and wisdom makes him too far removed from his subjects for their relations to be supremely good as personal relationships. Employing this analogy, I discuss the desiderata of divine-human relationships in a theological ethics of divine benevolence, and outline how such ethics could cohere with a free will explanation of evil, suggesting that God’s creation of earthly suffering might not be gratuitous with respect to the purpose of maximising created goodness. (shrink)

Since the first decade of the 14th Century, Thomas Aquinas’s disciples have struggled to explain and defend his doctrine of analogy. Analogy after Aquinas: Logical Problems, Thomistic Answers relates a history of prominent Medieval and Renaissance Thomists’ efforts to solve three distinct but interrelated problems arising from their reading both of Aquinas’s own texts on analogy, and from John Duns Scotus’s arguments against analogy and in favor of univocity in Metaphysics and Natural Theology. The first of these three problems (...) concerns Aquinas’s at least apparently disparate statements on whether a name is said by analogy through a single concept or through diverse concepts. The second problem concerns the model of analogy suited for predicating names analogously across the categories of being or about God and creatures. Is “being” said analogously about God and creatures, or substance and accidents, on the model of how “healthy” is said of medicine and an animal, or on the model of how “principle” is said of a point and a line? The third problem comes from outside challenges to Aquinas’s thought, in particular Scotus’ claims that univocal names alone can mediate valid demonstrations, and any demonstration that failed to use its mediating terms univocally would fail by the fallacy of equivocation. Analogy after Aquinas makes a unique contribution to the study of philosophical theology in the tradition of Thomas Aquinas by showing the historical and philosophical connection between these three problems, as well as the variety of solutions proposed by leading representatives of this tradition. Thomists considered in the book include: Hervaeus Natalis (1250-1323), Thomas Sutton (1250-1315), John Capreolus (1380-1444), Dominic of Flanders (1425-1479), Paul Soncinas (d. 1494), Thomas dio vio Cajetan (1469-1534), Francis Silvestri of Ferrara (1474-1528), and Chrysostom Javelli (1470-1538). (shrink)

There are numerous ‘solutions’ to the problem of evil, from which theists can and do freely take their pick. It is fairly clear that any attempt at a solution must involve a scaling-down of one or more of the assertions out of whose initial conflict the problem arises – either by a downward revision of what we mean by omnipotence, or omniscience, or benevolence, or by minimizing the amount or condensing the varieties of evil actually to (...) be found in the universe. And indeed, in one or more of these different ways, the charge of logical inconsistency can no doubt always be vouchsafed at least a formal answer. Unfortunately, the mere ironing-out of formal inconsistencies does not of itself go very far towards providing a solution to this central problem of theism which will be morally, religiously, and intellectually convincing and acceptable as well as logically impeccable. Everything depends on how the inconsistencies are ironed out. For every attempt at a solution of the problem of evil has to be made at a price, in keeping with the scale and type of conceptual or ethical readjustments which it requires of us. And if the solutions which are generally offered seldom seem to carry much conviction, this is because the price they require us to pay nearly always seems far too high. A ‘solution’ to the problem of evil that is to count as a genuine solution must not require us to make any conceptual or ethical readjustments which it would not on independent grounds be entirely reasonable to make. A ‘solution’ that was finally to count as the solution of the problem of evil would presumably need to be that particular one which required us to make only those conceptual and ethical readjustments which were on independent grounds the ones that it was the most reasonable to make. What follows is offered as a solution, in the above sense, of the problem of evil. However, I shall not here attempt to argue that it is the solution. (shrink)

Are the existence of God and evil logically compatible? Philosophers have been dwelling on this question since the era of Ancient Greek philosophy. Most responses to this philosophical problem have come from a Western viewpoint. This article aims to answer this question by considering an African cosmological and ethical groundwork. Working conceptually within this cosmology and ethic, we argue that if the evil in the world is understood as a lesser evil, then a good God can (...) plausibly allow evil to happen. This is the case because God preventing evil will lead to a worse state of affairs which will result in a worse world. Allowing a lesser evil is the best possible outcome. We assert that this view offers a better theory than the theodicy defended by some mainstream Western philosophers according to which a greater good is achieved through evil. (shrink)

This chapter is part of a project to collect David Lewis's correspondence explicitly on topics in the philosophy of religion and arrange major threads by topic, tying the correspondence to his published work. The chapter confines itself to only few letters on only a few topics. David's metaphysics sometimes takes the form of philosophical theology, especially in his correspondence about the free will theodicy. It presents selections of David's correspondence on topics in the philosophy of religion: a letter on (...) class='Hi'>evil, specifically on the possibility of divine evil, evil perpetrated by God a letter on evil. The chapter concludes with a discussion of the place which, according to the author, God must have in David's logical space and also of the success of the many‐worlds theodicy that David briefly discusses. (shrink)

This concise, well-structured survey examines the problem of evil in the context of the philosophy of religion. One of the core topics in that field, the problem of evil is an enduring challenge that Western philosophers have pondered for almost two thousand years. The main problem of evil consists in reconciling belief in a just and loving God with the evil and suffering in the world. Michael Peterson frames this issue by working through (...) questions such as the following: What is the relation of rational belief to religious faith? What different conceptual moves are possible on either side of the issue? What responses have important thinkers advanced and which seem most promising? Is it possible to maintain religious commitment in light of evil? Peterson relies on the helpful distinction between moral and natural evil to clarify our understanding of the different aspects of the problem as well as avenues for response.The overall format of the text rests on classifying various types of argument from evil: the logical, the probabilistic, the evidential, and the existential arguments. Each type of argument has its own strategy which both theists and nontheists must recognize and develop. Giving both theistic and nontheistic perspectives fair representation, the text works through the issues of whether evil shows theistic belief to be inconsistent, improbable, discredited by the evidence, or threatened by personal crisis.Peterson explains how defensive strategies are particularly geared for responding to the logical and probabilistic arguments from evil while theodicy is an appropriate response to the evidential argument. Theodicy has traditionally been understood as the attempt to justify belief in a God who is all-powerful and all-good in light of evil. The text discusses the theodicies of Augustine, Leibniz, Hick, and Whitehead as enlightening examples of theodicy. This discussion allows Peterson to identify and evaluate a rather dominant theme in most theodicies: that evil can be justified by designating a greater good. In the end, Peterson even explores how certain types of theodicy, based on specifically Christian renditions of theism, might provide a basis for addressing the existential problem of evil. The reader of this book gains not only an intellectual grasp of the debate over God and evil in professional philosophy but also the personal benefit of thinking through one of the most important issues in human life. (shrink)

The paper analyses the concept of ‘bad infinity’ in connection with Hegel’s critique of infinitesimal calculus and with the belittling of Hegel’s mathematical notions by the representatives of modern logic and the foundations of mathematics. The main line of argument draws on the observation that Hegel’s difference is only derivatively a mathematical one and is primarily of a broadly logico-epistemological nature. Because of this, the concept of bad infinity can be fruitfully utilized, by way of inversion, in an analysis of (...) the conceptual shortcomings of the most prominent foundational attempts at dealing with infinite quanta, such as Cantor’s set theory and Hilbert’s axiomatism. As such, the paper is an attempt at reconstructing Hegel’s philosophy of mathematics and its role in his philosophical system and, more importantly, as a contribution to logic in the more general and radical sense of the word. (shrink)

The thought that evil in the world poses a problem for belief in the existence of God is an ancient and very natural idea - going back at least to Job. But can that basic idea be converted into a sound argument for the non-existence of God? Arguments from evil against the existence of a deity come in two very different forms. On the one hand, one has what are known as incompatibility versions of the argument from (...) evil. These are typically directed against God conceived of as in classical monotheism––that is, as an omnipotent, omniscient, and morally perfect person––and such arguments attempt to show that the existence of such a deity is logically incompatible with certain true propositions about the existence of evil states of affairs. Then, on the other hand, one has what are known as evidential or inductive formulations of the argument from evil. These arguments have the more modest goal of showing that facts about evil states of affairs in the world make it unlikely that deities with certain properties exist. Arguments of the latter sort will be the focus of the present chapter. -/- As we shall see, evidential arguments from evil can be formulated in several ways, a full exposition of which would lead us into some quite technical waters. My goal, however, will be simply to make clear the basic ideas. Having done that, I shall describe three different responses to such arguments. One involves the idea of a theodicy, while a second appeals instead to countervailing evidence in support of the existence of God, and a third employs the idea of morally significant states of affairs that lie outside our ken. We shall see, I think, that all three responses are problematic. (shrink)

In a recent article, George Schlesinger adds his thoughts to the quite extensive literature on the Problem of Evil and the Problem of Suffering. What is noteworthy about this article is the fact that the author, after briefly discussing a number of familiar arguments for and against the traditional theistic conception of God as both omnipotent and perfectly good, attempts to dissolve the problem itself as a pseudo-problem. In the present paper I wish to try (...) to show that Schlesinger's attempt fails, whether or not he is right in his conclusion that the problem of evil is not a genuine problem; and to raise, in the course of my criticism, certain fundamental questions that must be answered if the controversy between theists and their critics is to become logically capable of resolution. Further, in relation to and , I shall offer a very preliminary sketch of some of the fundamental terms or concepts involved in the discussion of the problem of evil and related issues of philosophical theology. I shall begin by saying a few things about Schlesinger's discussion of some of the familiar attempts of theists to resolve the problem, and the equally familiar attacks of the sceptics. I shall then pass to a criticism of Schlesinger's main thesis. (shrink)

Recent discussion of the problem of evil has centered around what is known as the probabilistic or evidential argument from evil. According to this argument the evil in our world is evidence against the existence of God, even though evil is logically consistent with God’s existing. Based on this it is claimed it is irrational to believe one of the traditional theistic religions, unless there is overwhelming positive evidence to counter this negative evidence. One of (...) the most important and widely discussed versions of this argument is due to Paul Draper.1 In this paper I will look at Draper’s argument and argue that he has made a simple fundamental error; as a result his argument is irrelevant to most theists. After discussing this error in Draper’s argument, I will discuss probabilistic arguments from evil from the perspective of confirmation theory. The error in Draper’s argument is easily made and could occur in any probabilistic argument from evil; looking at confirmation theory and probabilistic arguments from evil will provide insight into reasoning about evil and belief in God. (shrink)

Can an omnipotent and omnibenevolent God create humans with free will without the capacity to commit evil? Scholars have taken opposite positions on the contentious problem. Using scripture and the rules of logic, we argue that God cannot create impeccable creatures because of his ‘simplicity’. God cannot create gods, because God is uncreated. Peccable humans freely choose to disobey their creator and thus cannot blame him for the horrendous evils in this world. Concerning the belief of sinless humans (...) with free will in heaven, we suggest that such an impartation of God’s impeccability can be accomplished, not through creation, but by the marriage of Christ and the Church, for the two shall become one. Believers will become children of God and partakers of the divine nature.Contribution: Theologians and philosophers have argued whether God could create humans with free will who never commit evil, and if he could, why did he not do so? The primary contribution of this article is the argument that God could not create impeccable humans with free will for God could not create gods. (shrink)

This paper considers various objections to Carnap’s logical syntax definition of ’logical expression’, including those by Saunders Mac Lane and W. V. O. Quine. While the specific objections of these two authors can be answered, if necessary by a slight modification of Carnap’s definition, there are other objections that I do not see how to meet. I also consider the proposal by Denis Bonnay for avoiding the objections to Carnap’s definition. In light of the unresolved problems with Carnap’s (...) definition, I go on to consider what Carnap’s assumptions must have been in framing his definition and to assess how much damage is caused by this failure of Carnap’s definition. This damage is not as much as might be assumed. (shrink)

Book Information The Is-Ought Problem: An Investigation in Philosophical Logic. By Gerhard Schurz. Kluwer. Dordrecht. 1997. Pp. x + 332. £92.25.

The papers in this series of five volumes provide a snapshot of current trends in European Cognitive Science. Each of the volumes deals with problems in cognitive science from a different perspective, covering the interacting disciplines of cognitive psychology, logic and linguistics, human-computer interaction, neuroscience and artificial intelligence respectively. Linguistics is concerned with the structure and use of languages, and logic with the form and correctness of argumentation in ordinary and scientific language. The two fields are presented with respect to (...) their role in cognitive science and artificial intelligence: How are they realised by psychological mechanisms or biological processes on the one hand or programmed or wired in machines on the other. The contributions in this volume give introductions to the state-of-the-art, emphasizing the analysis of complexity and flexibility in logic and language in the framework of classical approaches (Chapters 3, 4, 5, 7). At the same time some contributions present a broader perspective in which an integration of the formal structure with the structure of the processing systems might be possible (Chapters 2 & 6). In this context, the differences and the perspectives of the classical approaches on the one hand and of connectionist approaches on the other are compared. (Chapters 1 & 6).contributions present a broader perspective in which an integration of the formal structure with the structure of the processing systems might be possible (Chapters 2 & 6). In this context, the differences and the perspectives of the classical approaches on the one hand and of connectionist approaches on the other are compared. (Chapters 1 & 6). (shrink)

A conception of an information system has been introduced by Pawlak. The study has been continued in works of Pawlak and Orlowska and in works of Vakarelov. They had proposed some basic relations and had constructed a formal system of a modal logic that describes the relations and some of their Boolean combinations. Our work is devoted to a generalization of this approach. A class of relation systems and a complete calculus construction method for these systems are proposed. As a (...) corollary of our main result, our paper contains a solution of a Vakarelov's problem: how to construct a formal system that describes all the Boolean combinations of the basic relations. (shrink)

In this paper, I argue that -- contrary to widely received opinion -- logical arguments from evil are well and truly alive and kicking.

Excerpt from Logic, Vol. 1: Deduction The present work aims at embracing a full course of Logic, both Formal and Inductive. In an introductory chapter, are set forth such doctrines of psychology as have a bearing on Logic, the nature of knowledge in general, and the classification of the sciences the intention being to avoid doctrinal digressions in the course of the work. Although preparatory to the under standing of what follows, this chapter may be passed over lightly on a (...) first perusal of the work. The part on Deduction contains the usual doctrines of the Syllogism, with the additions of Hamilton, and a full abstract of the novel and elaborate schemes of De Morgan and Boole. The Inductive portion comprises the methods of induc tive research, and all those collateral topics brought for ward by Mr. Mill, as part of the problem of Induction; various modifications being made in the manner of state ment, the order of topics, and the proportion of the hand ling. The greatest innovation is the rendering of Cause by the new doctrine called the Conservation, Persistence, or Correlation of Force. Mr. Mill's view of the relation of Deduction and Induc tion is fully adopted, as being the solution of the otherwise inextricable puzzle of the syllogism, and the means of giving unity and comprehensiveness to Logic. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works. (shrink)

The essays in this volume are based on addresses presented during a colloquium on free logic, modal logic and related areas held at the University of California at Irvine, in May of 1968. With the single exception of Dagfinn F011esdal, whose revised address is included in a recent issue of Synthese honoring W. V. Quine, all of the speakers at the Irvine colloquium are contributors to this volume. Thanks are due to Professor A. I. Melden, Chairman of the Department of (...) Philosophy at Irvine, for his enthusiastic support of the colloquium, and to Drs. Gordon Brittan and Daniel Dennett for their help in the administration of the colloquium. Finally. I should also like to thank Professor Ralph W. Gerard, Dean of the Graduate Division of the University of California at Irvine, for the financial support which made the colloquium possible. KAREL LAMBERT Laguna Beach, California, 1969 TABLE OF CONTENTS PREFACE V KAREL LAMBERT and BAS C. VAN FRAASSEN/ Meaning Relations, Possible Objects, and Possible Worlds 1 JAAKKO HINTIKKA / Existential Presuppositions and Uniqueness Presuppositions 20 RICHMOND H. THOMASON / Some Completeness Results for Modal Predicate Calculi 56 H. LEBLANC and R. K. MEYER / Truth-Value Semantics for the Theory of Types 77 J. M. VICKERS / Probability and Non Standard Logics 102 PETER W. WOODRUFF / Logic and Truth Value Gaps 121 DANA SCOTT / Advice on Modal Logic 143 INDEX OF NAMES 175 KAREL LAMBER T AND BAS C. (shrink)

In this paper, I take issue with a core commitment of logical conventionalism: that we impose a logic on ourselves by adopting general linguistic conventions governing our use of logical terms, thereby determining the meanings of the logical constants and which of our inferences are valid. Drawing on Kripke’s ‘adoption problem’, I argue that general logical principles cannot be adopted, either explicitly or implicitly. I go on to argue that the meanings of our logical (...) terms, and the validity of our inferences, cannot depend on our adoption of logico-linguistic conventions. (shrink)

This book introduces the reader to relevant logic and provides the subject with a philosophical interpretation. The defining feature of relevant logic is that it forces the premises of an argument to be really used in deriving its conclusion. The logic is placed in the context of possible world semantics and situation semantics, which are then applied to provide an understanding of the various logical particles and natural language conditionals. The book ends by examining various applications of relevant logic (...) and presenting some interesting open problems. It will be of interest to a range of readers including advanced students of logic, philosophical and mathematical logicians, and computer scientists. (shrink)