In a pair of recent articles, Brian Leftow and Eleonore Stump offer independent, although similar, accounts of the metaphysics of the Incarnation. Both believe that their Aquinas-inspired theories can offer solutions to the kind of Leibniz’s Law problems that can seem to threaten the logical possibility of this traditional Christian doctrine. In this paper, I’ll have a look at their compositional account of the nature of God incarnate. In the end, I believe their position can be seen to (...) have unacceptable philosophical and theological implications, and that is it inadequate to solve the Leibniz’s law problems that motivate it in the first place. (shrink)

The coherence objection to the doctrine of the Incarnation maintains that it is impossible for one individual to have both the attributes of God and the attributes of a human being. This article examines Thomas Aquinas’s answer to this objection. I challenge the dominant, mereological interpretation of Aquinas’s position and, in light of this challenge, develop and defend a new alternative interpretation of Aquinas’s response to this important objection to Christian doctrine.

This book is a philosophical examination of the logical problems associated with the claim that Jesus of Nazareth was one and the same person as God the Son, the Second Person of the divine Trinity.

In this paper, we examine Abelard’s model of the incarnation and place it within the wider context of his views in metaphysics and logic. In particular, we consider whether Abelard has the resources to solve the major difficulties faced by the so-called “compositional models” of the incarnation, such as his own. These difficulties include: the requirement to account for Christ’s unity as a single person, despite being composed of two concrete particulars; the requirement to allow that Christ is (...) identical with the pre-existent Son, despite the fact that the pre-existent Son is a (proper) part of the incarnate Christ; and finally the requirement to avoid Nestorianism, i.e., the position that Christ’s proper parts are persons in their own right. We argue that Abelard does have adequate solutions to these problems. In particular, we show that his theories of relations and predication can be put to use in defence of a compositional account of the incarnation. (shrink)

According to the doctrine of the Incarnation, one person, Christ, has both the attributes proper to a human being and the attributes proper to God. This claim has given rise to the coherence objection, i.e., the objection that it is impossible for one individual to have both sets of attributes. Several authors have offered responses which rely on the idea that Christ has the relevant human properties in virtue of having a concrete human nature which has those properties. I (...) show why such responses should be rejected and, in light of that, propose an alternative response to the coherence objection. (shrink)

Medieval theologians discussed the logical structure of reduplicative propositions in the midst of their discussions of the Incarnation and the Trinity. Aquinas has the usual medieval analyzes of reduplicative propositions: the specificative and the strictly reduplicative. But neither analysis resolves successfully the problems of the consistency of the statements about God while avoiding making the Trinity or the Incarnation a merely accidental feature of Him. However, Scotus introduces another analysis: abstractive. I shall conclude that Scotus’s view of (...) reduplication, one, if not invented by him, as least stressed and developed by him, offers a better solution of the consistency of the Incarnation and the Trinity than that of Aquinas. (shrink)

The doctrine of the Trinity is central to mainstream Christianity. But insofar as it posits “three persons” (Father, Son and Holy Spirit), who are “one God,” it appears as inconsistent as the claim that 1+1+1=1. -/- Much of the literature on “The Logical Problem of the Trinity,” as this has been called, attacks or defends Trinitarianism with little regard to the fourth century theological controversies and the late Hellenistic and early Medieval philosophical background in which it took shape. (...) I argue that this methodol- ogy, which I call “the Puzzle Approach,” produces obviously invalid arguments, and it is unclear how to repair it without collapsing into my preferred method- ology, “the Historical Approach,” which sees history as essential to the debate. I also discuss “mysterianism,” arguing that, successful or not, it has a different goal from the other approaches. I further argue that any solution from the His- torical Approach satisfies the concerns of the Puzzle Approach and mysterianism anyway. -/- I then examine the solution to the Logical Problem of the Trinity found in St. Gregory of Nyssa’s writings, both due to his place in the history of the doctrine, and his clarity in explicating what I call “the metaphysics of synergy.” I recast his solution in standard predicate logic and provide a formal proof of its consistency. I end by considering the possibilities for attacking the broader philosophical context of his defense and conclude that the prospects for doing so are dim. In any case, if there should turn out to be any problem with the doctrine of the Trinity at all, it will not be one of mere logical inconsistency in saying that “These Three are One.”. (shrink)

This article aims to introduce a new solution to the Logical Problem of the Trinity. This solution is provided by utilising a number of theses within the field of contemporary metaphysics in order to establish a conceptual basis for a novel account and model of the doctrine of the Trinity termed Monarchical Aspectivalism, which will provide the means for proposing an alternative reading of the Athanasian Creed that is free from any consistency problems.

I present two problems: the logical problem of the Trinity and the metaphysical problem of Incarnation. I propose a solution to both problems: a Neo-Lockean theory of the Trinity and Incarnation, which applies a Neo-Lockean theory of personal identity to the doctrines of the Trinity and Incarnation.

In this paper, I consider the philosophical consequences of one tradition in Trinitarian theology, which emphasizes that each of the persons of the Trinity is wholly God. I pay special attention to Leftow’s claim that the persons of the Godhead must be divine in the same sense of the word ‘divine’ as the Godhead itself. I argue that the existing philosophical account of the Trinity which best captures this view is what I have termed the ‘Strong Theory of Relative Identity,’ (...) first proposed Peter Geach. I then develop what I take to be the most pressing objection to this account of the Trinity, namely that it cannot be supplemented with a coherent model-theoretic semantics. I end with a suggestion for responding to this objection. (shrink)

Increasingly, feminist theorists, such as Alison Martin and Ellen T. Armour, are attending to the numerous religious allusions within texts by Luce Irigaray. Engaging with this scholarship, this paper focuses on the problematic of evil that is elaborated within Irigarayan texts. Mobilizing the work of Catherine Malabou, the paper argues that Malabou's methodology of reading, which she identifies as "plastic," illuminates the logic at work within Irigaray's deployment of sacred stories.

This collection of articles and associated discussion papers focuses on a problem that has attracted increasing attention from linguists and psychologists throughout the world during the past several years. Reduced to essentials, the problem is that of discovering the character of the mental capacities that make it possible for human beings to attain knowledge of their language on the basis of fragmentary and haphazard early linguistic experience. A fundamental assumption running through all of these contributions is that people (...) possess strong innate predispositions that are critical for success in this task. (shrink)

Professor MacKinnon, in an essay on Philosophy and Christology , remarks that Christology confronts theology with difficult but ‘inescapable problems’ because logically ‘it is unique; and yet it overlaps here, there and everywhere’. The complexity of the task, however, does not excuse the theologian from the need to determine the logical nature of the concept of ‘incarnation’ if he wishes to use it in his work—and, as I hope to show, any theology which attempts to describe the actual (...) nature of God probably cannot avoid using this concept in some form or other. Only by appreciating the logic of this concept can the theologian be confident that he understands its proper content and implications and that he offers appropriate justification for his claims about it. In this paper I want to suggest one possible way of viewing the logic of incarnational talk in theology which is based upon the attempt to treat such talk in terms of the notion of ‘revelation’. (shrink)

What corresponds to the present-day ‘transcendental-pragmatic’ concept of ultimate grounding in Hegel is his claim to absoluteness of the logic. Hegel’s fundamental intuition is that of a ‘backward going grounding’ obtaining the initially unproved presuppositions, thereby ‘wrapping itself into a circle’ – the project of the self-grounding of logic, understood as the self-explication of logic by logical means. Yet this is not about one of the multiple ‘logics’ which as formal constructs cannot claim absoluteness. It is rather a fundamental (...) logic that only makes logical textures possible at all and so owns transcendental character. The non-contradiction-principle is an example for this. Es- sential is that it is ‘under-cover-effcient’ as soon as meaningful concepts are used. Self-explication of the fundamental logic then means explicating its implicit under-cover validity, in fact by means of the fundamental logic itself. As is shown this is the affair of dialectic which thereby is to be understood as ultimate grounding of the fundamental logic. This is analyzed in detail using the example of the being/non-being-dialectic. As is demonstrated each explication step generates a new implicit issue and therewith a new explication-discrepancy inducing an antinomical structure that anew forwards the explication procedure. So this is entirely determined by itself. Decisive for the ultimate grounding argumentation is that thereby an objectively verifyable procedure is found, which is apparently possible only in a Hegelian framework. In contrast the immediate evidence of a speech act claimed by the transcendental-pragmatic position has only private character, which is grounding-theoretically irrelevant. (shrink)

Analytic theologians have proposed numerous “solutions” to the Logical Problem of the Trinity (LPT), mostly versions of Social Trinitarianism (ST) and Relative Identity Trinitarianism (RI). Both types of solution are controversial, but many hold out hope that further “Trinitarian theorizing” may yield some as yet unimagined, and somehow importantly different, solution to the LPT. I first give a precise definition of the LPT and of what would count as a solution to it. I then show how, though there (...) are infinitely many possible solutions, all solutions can be grouped together into a finite, exhaustive taxonomy, based precisely on those features which make them either controversial, heretical, or inconsistent. The taxonomy reveals why ST and RI have been the major proposed solutions, and also proves that there can be no importantly different, new solutions to the LPT. (shrink)

Arguments from the Logical Problem of Language Acquisition suggest that since linguistic experience provides few negative data that would falsify overgeneral grammatical hypotheses, innate knowledge of the principles of Universal Grammar must constrain learners hypothesis formulation. Although this argument indicates a need for domain-specific constraints, it does not support their innateness. Learning from mostly positive data proceeds unproblematically in virtually all domains. Since not every domain can plausibly be accorded its own special faculty, the probative value of the (...) argument in the linguistic case is dubious. In ignoring the holistic and probablistic nature of theory construction, the argument underestimates the extent to which positive data can supply negative evidence and hence overestimates the intractability of language learning in the absence of a dedicated faculty. While nativism about language remains compelling, the alleged Logical Problem contributes nothing to its plausibility and the emphasis on the Problem in the recent acquisition literature has been a mistake. (shrink)

J.L. Mackie’s version of the logical problem of evil is a failure, as even he came to recognize. Contrary to current mythology, however, its failure was not established by Alvin Plantinga’s Free Will Defense. That’s because a defense is successful only if it is not reasonable to refrain from believing any of the claims that constitute it, but it is reasonable to refrain from believing the central claim of Plantinga’s Free Will Defense, namely the claim that, possibly, every (...) essence suffers from transworld depravity. (shrink)

This chapter contains sections titled: The Logical Argument and the Free Will Defense Horrendous Evils and the Goodness of God Evil and Philosophical Failure Future Directions Works cited.

'The most thorough and scrupulous of contemporary students of induction' (the execrable Quinton 1993, p. 172).

Keith A. Coleman Department of Philosophy, February 2008 University of Kansas A traditional problem concerning the meaning or logical content of statements of identity received its modern formulation in Gottlob Frege's "On Sense and Reference." Identity is taken either as a relation between objects or a relation between terms. If identity is interpreted as a relation between objects, then identity statements seem to be of little value since everything is clearly identical to itself. Assertions of identity are thought (...) to convey significant information, but it is hard to see how they can on this interpretation. If identity is instead interpreted as a relation between terms, then identity statements still seem to be of little value since apparently they only convey a linguistic pronouncement to use certain terms interchangeably. Assertions of identity do not appear to be about the use of language, but, on this understanding of identity, they evidently are. I examine the nature of the problem and the advantages and disadvantages of each one of the two approaches to interpreting the content of identity statements. I then investigate two approaches for solving the problem from the perspective of identity as a relation between objects. The first of these represents the account provided by Gottlob Frege, and the second represents the account provided by Saul Kripke. I conclude that neither one of these accounts finally solves the problem of identity in its entirety. I then examine Michael Lockwood's approach to resolving the problem of identity based on the idea of identity as a relation between terms. I discuss and critically evaluate Lockwood's account together with a modified version of that account. After arguing for the inadequacy of the views examined as ultimate solutions to the problem of identity, I end by suggesting a strategy prompted by treating identity as indiscernibility. (shrink)

Logic today is a ramified discipline existing on many levels. It is actively pursued by philosophers, mathemeticians, and computer specialists. The reason is that it is widely employed to solve a number of problems both in the theory of knowledge and in mathematics and computer science. But the broad spectrum of application of contemporary logic does not change the fact that its basic content has the nature of philosophical methodology. In contemporary logic it is the forms of thought and the (...) methods of scientific cognition, the modes of organization of scientific knowledge, and the procedures for the introduction of various concepts, abstractions, and idealizations that are studied. This places logic in intimate contact with epistemology and methodology. The distinctiveness of the approach taken by formal logic to this particular subject consists simply of its studying all these procedures pertaining to concrete cognition through the use of special formal languages, of algebraic, topological, and other exact techniques. (shrink)

This work has been selected by scholars as being culturally important and is part of the knowledge base of civilization as we know it. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and (...) made generally available to the public. To ensure a quality reading experience, this work has been proofread and republished using a format that seamlessly blends the original graphical elements with text in an easy-to-read typeface. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant. (shrink)

In this book, I deal with some fundamental problems of the Hegelian dialectic. For this purpose, I take a middle course between total scepticism, which considers dialectic as a devastator sophistry with no respect even for the non-contradiction principle, and authoritarian dogmatism, which claims to solve any question with the magic wand of the Hegelian Aufhebung. That is, I decide to be critical, defining concepts anew, bringing out sources, determining conditions of possibility and fields of validity, accepting or rejecting when (...) necessary. Following G. R. G. Mure's thinking, from an inner point of view I examine whether, in carrying out his work, Hegel remains faithful to the different principles he proclaims, and I find substantial deviations. And, following W. Becker's thinking, from an external point of view, that is, from a formal, empirical or existential contemporary angle, I try to determine the extent to which we may legitimately talk about the fruitfulness of Hegelian dialectic. In this way, I reconstruct Hegel's thought so that it may become acceptable to us-readers of the twentieth-century-as intelligible and coherent as possible. I conclude that dialectic, as a logic of human reality, has to be grasped and expressed from the viewpoint of the particular historical individual, in constant interaction with the cultural environment of his or her time. Using this approach, I investigate the questions at issue from Hegel's Logic point of view. (shrink)

Thomas Morris and Richard Swinburne have recently defended what they call the ‘two-minds’ model of the Incarnation. This model, which I refer to as the ‘inclusion model’ or ‘inclusionism’, claims that Christ had two consciousnesses, a human and a divine consciousness, with the former consciousness contained within the latter one. I begin by exploring the motivation for, and structure of, inclusionism. I then develop a variety of objections to it: some philosophical, others theological in nature. Finally, I sketch a (...) variant of inclusionism which I call ‘restricted inclusionism’ (RI); RI can evade many, but not all, of the objections to standard inclusionism. (shrink)

The double negation has always been considered by the logical systems from ancient times to the present. In fact, that is an issue that the current syntactic theories studying human reasoning, for example, the mental logic theory, address today. However, in this paper, I claim that, in the case of some languages such as Spanish, the double negation causes problems for the cognitive theories mainly based on formal schemata and supporting the idea of a universal syntax of thought in (...) the human mind. Thus, I propose that, given those problems, semantic frameworks such as that of the mental models theory seem to be more appropriate for explaining the human inferential activity. (shrink)

Natural language is full of patterns that appear to fit with general linguistic rules but are ungrammatical. There has been much debate over how children acquire these “linguistic restrictions,” and whether innate language knowledge is needed. Recently, it has been shown that restrictions in language can be learned asymptotically via probabilistic inference using the minimum description length (MDL) principle. Here, we extend the MDL approach to give a simple and practical methodology for estimating how much linguistic data are required to (...) learn a particular linguistic restriction. Our method provides a new research tool, allowing arguments about natural language learnability to be made explicit and quantified for the first time. We apply this method to a range of classic puzzles in language acquisition. We find some linguistic rules appear easily statistically learnable from language experience only, whereas others appear to require additional learning mechanisms (e.g., additional cues or innate constraints). (shrink)

The morality of war has been debated from a variety of perspectives. However, it has rarely been intertwined with the topic of the existence of God. Sometimes anti-theists argue that the existence of a Western Judeo-Christian God who is omnipotent, omniscient and morally perfect is inconsistent with the existence of evils such as war. We will argue that there is no such logical inconsistency between the God of the African traditional religions and the evil of war. First, we contend (...) that such a logical inconsistency does not exist because God in African traditional religions is not seen as omnipotent, omniscient or morally perfect, and therefore, it would not be logically inconsistent for such a God to co-exist with the evil of war. This is mainly because African moral realism entails that war is a legitimate means for an imperfect being in an imperfect world to pursue morally permissible goals. Second, even if God is omniscient, omnipotent and morally perfect, when considered from the African religious viewpoint, a God of harmony, like the one in African traditional religions, can permit some evils for a greater good such as “harmony”. (shrink)

The mind-body problem is—despite appearances—still the inevitable basic issue of unending discussions in recent philosophy. Various types of epistemologies and metaphysics, European and American, have offered their widely divergent “solutions” of the dreaded Cartesian tangle. Is there any hope of reaching a universally acceptable view?

The existence of evil and suffering in our world seems to pose a serious challenge to belief in the existence of a perfect God. If God were all-knowing, it seems that God would know about all of the horrible things that happen in our world. If God were all-powerful, God would be able to do something about all of the evil and suffering. Furthermore, if God were morally perfect, then surely God would want to do something about it. And yet (...) we find that our world is filled with countless instances of evil and suffering. These facts about evil and suffering seem to conflict with the orthodox theist claim that there exists a perfectly good God. The challenged posed by this apparent conflict has come to be known as the problem of evil. (shrink)

A revised edition of the author's dissertation, originally published in 1941 and for several years out of print. The major change is in Chapter VI, "Formal Analysis of Inductive Probability," which has been entirely rewritten so as to take into account more recent writings on the logic of induction by Carnap, Reichenbach and others. Although studies in logic are not neglected, the author remains primarily concerned with the philosophic problem of finding a rational justification for inductive arguments. There is (...) an excellent bibliography, but no index.--A. R. A. (shrink)

This paper provides a new defence against the logical problem of evil, based on the naturalistic functional/teleological theory of mind (NFT). I argue that if the NFT is self-consistent then it is consistent with theism. Further, the NFT entails that it is not possible for created minds to exist in the absence of evil. It follows that if the NFT is self-consistent then the existence of God is consistent with the existence of evil.

In this article I develop a new problem for the doctrine of the Trinity that I call the Problem of Triunity. Rather than proceeding from the fact that God is one and the persons are many, as the traditional problem of the Trinity does, the problem of triunity proceeds from the fact that, in one sense or another, God is many, and yet each divine person on his own is just one.

The process of the formation of new scientific concepts conditioned by scientific and technological progress often has the consequence that many concepts formed in special sciences - such as mathematics, physics, and biology - are immediately introduced by certain authors into the sphere of philosophy.

The tripartite account of propositional, fallibilist knowledge that p as justified true belief can become adequate only if it can solve the Gettier Problem. However, the latter can be solved only if the problem of a successful coordination of the resources (at least truth and justification) necessary and sufficient to deliver propositional, fallibilist knowledge that p can be solved. In this paper, the coordination problem is proved to be insolvable by showing that it is equivalent to the (...) ''''coordinated attack'''' problem, which is demonstrably insolvable in epistemic logic. It follows that the tripartite account is not merely inadequate as it stands, as proved by Gettier-type counterexamples, but demonstrably irreparable in principle, so that efforts to improve it can never succeed. (shrink)