The paper is a discussion of a result of Hilbert and Bernays in their Grundlagen der Mathemnatik. Their interpretation of the result is similar to the standard intepretation of Tarski's Theorem. This and other interpretations are discussed and shown to be inadequate. Instead, it is argued, the result refutes certain versions of Meinongianism. In addition, it poses new problems for classical logic that are solved by dialetheism.

The Hooded Man Paradox of Eubulides concerns the apparent failure of the substitutivity of identicals in epistemic (and other intentional) contexts. This paper formulates a number of different versions of the paradox and shows how these may be solved using semantics for quantified epistemic logic. In particular, two semantics are given which invalidate substitution, even when rigid designators are involved.

Honderich claims that for a person to be perceptually conscious is for a world to exist. I decide what this means, and whether it could be true, in the opening section Consciousness and Existence. In Honderich's Phenomenology, I show that Honderich's theory is essentially anticipated in the ideas and Ideas of Husserl. In the third section, Radical Interiority, I argue that although phenomenology putatively eschews ontology of mind, and Honderich construes his position as near- physicalism, Honderich's insights are only truths (...) because we are spiritual substances. (shrink)

Anyone who is accustomed to the view that contradictions cannot be true, and cannot be accepted, and who reads texts in the Buddhists traditions will be struck by the fact that they frequently contain contradictions. Just consider, for example.

In both occidental and oriental traditions, philosophers have long treated the martial arts as pursuits worthy of philosophical reflection. This is the first substantial academic book to lay out the philosophical terrain within the study and understanding of the martial arts and to explore the significance of this fascinating subject for contemporary philosophy. The book is divided into three sections. The first section concerns what philosophical reflection can teach us about the martial arts, and especially the nature and value of (...) its practice. The second section deals with the other direction of the dialectical interplay between philosophy and the martial arts: how the martial arts can inform philosophical issues important in their own right. Finally, because many of the notable martial arts are of Asian origin, there are particularly close links between the arts and Asian philosophies - and Buddhism in particular - and therefore the last section is devoted to this topic. The essays in this collection deal with a wide range of philosophical issues: normative ethics, meta-ethics, aesthetics, phenomenology, the philosophy of mind, Ancient Greek and Buddhist thought. By demonstrating the very real nature of the engagement between the martial arts and philosophy, this book is essential reading for any serious student or scholar with an interest in the martial arts, Eastern philosophy, the philosophy of sport, or the study of physical culture. (shrink)

Priest holds anti-exceptionalism about logic. That is, he holds that logic, as a theory, does not have any exceptional status in relation to the theories of empirical sciences. Crucial to Priest’s anti-exceptionalism is the existence of ‘data’ that can force the revision of logical theory. He claims that classical logic is inadequate to the available data and, thus, needs to be revised. But what kind of data can overturn classical logic? Priest claims that the data is our (...) intuitions about the validity of inferences. In order to make sense of this claim, I will appeal to the Madhyamaka Buddhist philosopher Candrakīrti. I will then pose a problem for Priest’s anti-exceptionalism. Finally, I will suggest a way out of the problem for Priest. Whether or not he accepts my solution, I will let him decide. (shrink)

J. Michael Dunn’s Theorem in 3-Valued Model Theory and Graham Priest’s Collapsing Lemma provide the means of constructing first-order, three-valued structures from classical models while preserving some control over the theories of the ensuing models. The present article introduces a general construction that we call a Dunn–Priest quotient, providing a more general means of constructing models for arbitrary many-valued, first-order logical systems from models of any second system. This technique not only counts Dunn’s and Priest’s techniques as (...) special cases, but also provides a generalized Collapsing Lemma for Priest’s more recent plurivalent semantics in general. We examine when and how much control may be exerted over the resulting theories in particular cases. Finally, we expand the utility of the construction by showing that taking Dunn–Priest quotients of a family of structures commutes with taking an ultraproduct of that family, increasing the versatility of the tool. (shrink)

Graham Priest defends the use of a nonmonotonic logic, LPm, in his analysis of reasoning in the face of true contradictions, such as those arising from the paradoxes of self-reference. In the course of defending this choice of logic in the face of the criticism that this logic is not truth preserving, Priest argued that requirement is too much to ask: since LPm is a nonmonotonic logic, it necessarily fails to preserve truth. In this article, I show that (...) this assumption is incorrect, and I explain why nonmonotonic logics can nonetheless be truth preserving. Finally, I diagnose Priest's error, to explain when nonmonotonic logics do indeed fail to preserve truth. (shrink)

In the service of paraconsistent (indeed, ‘dialetheic’) theories, Graham Priest has long advanced a non-monotonic logic (viz., MiLP) as our ‘universal logic’ (at least for standard connectives), one that enjoys the familiar logic LP (for ‘logic of paradox’) as its monotonic core (Priest, G. In Contradiction , 2nd edn. Oxford: Oxford University Press. First printed by Martinus Nijhoff in 1987: Chs. 16 and 19). In this article, I show that MiLP faces a dilemma: either it is (plainly) unsuitable (...) as a universal logic or its role as a ‘universal logic’ (indeed, its role full stop) is a mystery. While familiarity with the basic ideas of dialetheism is assumed, formal details of the target logics are relegated to an appendix; the basic problem is evident without them. (shrink)

The present paper concerns a technical study of PRIEST'S logic of paradox [Pri 79], We prove that this logic has no proper paraconsistent strengthening. It is also proved that the mentioned logic is the largest paraconsistent one satisfaying TARSKI'S conditions for the classical conjunction and disjunction together with DE MORGAN'S laws for negation. Finally, we obtain for the logic of paradox an algebraic completeness result related to Kleene lattices.

Graham Priest has argued that the fruits of classical set theory can be obtained by naive means through a puzzling piece of reasoning often known as the bootstrapping argument. I will demonstrate that the bootstrapping involved is best understood as viciously circular and thus, that these fruits remain forbidden. The argument has only one rehearsal in print and it is quite subtle. This paper provides reconstruction of the argument based on Priest and attempts some fixes and alternative construals (...) to get around some elementary problems. Despite these efforts, the argument remains unconvincing. (shrink)

This essay provides a general introduction to the special number on Jacob L. Talmon (1916–1980). The essay sketches the outlines of Talmon's intellectual biography, beginning with his study of the origins of totalitarian democracy, moving through his analysis of nationalism and political messianism, and ending with his study of the ideological clash of the 20th century. The essay raises the question of whether Talmon should be seen as a thinker wishing to defend existing traditions (i.e. a “priest”), or as (...) a radical anti-authoritarian skeptic (i.e. a “jester”). Moreover, being both an anti-nationalist liberal, and a zionist at the same time, Talmon, the essay shows, was aware of the fact his own stance was problematic and at times even paradoxical. The last section of the essay presents the seven essays, which are included in the special issue. (shrink)

What conception of negation a dialetheist might have, in holding that a statement and its negation can both be true, has been the subject to considerable debate. Several of the issues in play in this area—such as the unique characterization of negation, and the interplay between contrariety and subcontrariety—are broached here by considering some positions taken on them by Graham Priest and assorted critics. Some of the more intricate points, as well as detailed discussions of commentators on Priest (...) are handled in explicitly labelled Digressions and in two Appendices. (shrink)

The questions -- The purpose of morality and law -- The past and the future -- What is religion? -- What is the rule of law? -- The families of religion : western religions -- The families of religion : eastern religions -- The families of law -- A brief tour of secular law -- Money, banks and corporations -- Secularisation and religious decline -- Reasons for the decline of religiosity -- Secularisation of government -- The rise of the lawyers (...) -- Who rules the world : lawyers or economists? -- What is wrong with the law? -- Scientific progress and the law -- A way of living -- A billion years from now. (shrink)

In launching modern economics, Adam Smith paved the way for laissez-faire capitalism, Marxism, and contemporary social science. This book scrutinizes Smith's disparagement of politics and religion to illuminate the subtlety of his rhetoric, the depth of his thought, and the ultimate shortcomings of his project. The author analyzes Smith's ideas on government, justice, human psychology, and international relations, stressing Smith's efforts to elevate wealth at the expense of citizenship and to replace normative political philosophy with historical theorizing and empirical modeling (...) that emphasize economic causes. The book also provides the most comprehensive interpretation available of Smith's views on religion, examining the discrepancies between The Wealth of Nations and The Theory of Moral Sentiments. The concluding chapter appraises the demise of communism in light of the Marxian emancipation of economics from politics and religion. (shrink)

Biblical writers present a grand vision of the priestly vocation, in which the sacramental life of worship is translated into an ethical mission to the world. It is a vision in which the priestly vocation of the ordained in the sanctuary and the priestly vocation of the laity in the world work in concert to fulfill the divine vision of a transformed earth.1.

Some of the best recent work on Roman priesthoods under the Republic has engaged with the issue of priestly authority and its role in defining the place of priesthoods vis-à-vis other centres of power, influence and knowledge. The aim of this paper is to make a contribution to this line of enquiry by focussing on the concept of priestlyauctoritas, which has seldom received close attention. The working hypothesis is that the study of priestlyauctoritasmay contribute to a broader understanding of the (...) place of priesthood in Republican Rome, and especially in the Late Republican period, from which most of the evidence derives. The link between religious authority and religious expertise requires special attention. (shrink)

This exploratory study investigated Catholic priests' knowledge and perceptions of pastoral codes of conduct and their perceptions about the processes for reporting misconduct. Overall, respondents understood that they had to breach confidentiality when parishioners divulged a threat to harm self or others or when there was an allegation of misconduct involving a colleague. Fewer respondents understood that information received in spiritual counseling or spiritual direction must be maintained confidentially. Respondents were aware that their codes of pastoral conduct offered guidance about (...) engaging in dual relationships (i.e., friendships with parishioners), but most respondents included parishioners in their circles of friends. (shrink)

It has become widespread, not only among pastors and conference speakers but also among scholars such as Vern Poythress and John Frame, to utilize the threefold offices of Christ as a typology for church leadership. According to this application of the threefold office, different church leaders possess prophetic, priestly, and kingly capacities in differing degrees, and the most appropriate role for each leader depends on which of these capacities happens to be strongest. According to some proponents, the offices of prophet, (...) priest, and king function as leadership personality types, with prophets identified as those leaders who are gifted as teachers, priests as those who care for people’s needs, and kings as planners and organizers. This article undertakes an exploration of these three leadership roles and contends that, though the munus triplex itself is a venerable and biblical structure, the appropriation of prophet, priest, and king as typological categories for church leadership is not. Through examination both of relevant Old Testament texts and of New Testament appropriations of these offices of leadership, it is demonstrated that the typological categorization of leaders as prophets, priests, or kings falls far short when it comes to biblical support. Particularly absent in Scripture is any clear identification of these offices with specific traits that different church leaders possess in differing degrees. Kingship and priesthood in particular are not individualized traits but a communal identity, shared by the whole people of God and grounded in union with Christ. (shrink)

In this essay I evaluate a new and influential interpretation of Nietzsche’s idea of the slave revolt in morality. This interpretation was first proposed by Bernard Reginster and has since been extended by R. Lanier Anderson and Avery Snelson. Citing textual evidence from Beyond Good and Evil and On the Genealogy of Morality, these scholars have argued for the counterintuitive view that nobles, not slaves, instigated the slave revolt in morality. This is because Nietzsche says that nobles create new values, (...) introduces priests as nobles, and claims that priests began the slave revolt. However, against this new approach I argue that these scholars neglect important evidence from these same texts in which Nietzsche claims that the psychologically slavish can also create values, assumes that politically subordinated nobles can lose their psychological nobility, and asserts that the slave revolt was instigated by psychologically slavish priests. I also argue that these scholars ignore Nietzsche’s related claims that the priestly peasant Luther renewed the Jewish slave revolt against re-ascendant Roman nobles and that the plebeian philosopher Socrates led a slave revolt in morality against the Athenian nobles. Thus, it turns out that none of the leaders of the slave revolt were noble and that one of them was not even priestly. I conclude with a defense of the traditional and straightforward view that Nietzsche always conceived of the slave revolt in morality as an act of revenge by oppressed people who are politically and psychologically ignoble. (shrink)

Graham Priest's book In Contradiction is a bold defense of the existence of true contradictions. Although Priest's case is impressive, and many of his arguments are correct, his approach is not the only one allowing for true contradictions. As against Priest's, there is at least one contradictorialist approach which establishes a link between true contradictions and degrees of truth. All in all, such an alternative is more conservative, closer to mainstream analytical philosophy. The two approaches differ as (...) regards the floodgate problem. Priest espouses a confinement policy banning contradictions except in a few special domains, particularly those of pure semantics and set-theory , whereas the alternative approach admits two negations -- natural or weak negation and strong negation, the latter being classical; accordingly, the alternative approach prohibits any contradiction involving strong negation, thus providing a syntactic test of what contradictions have to be rejected. (shrink)

This book presents the state of the art in the fields of formal logic pioneered by Graham Priest. It includes advanced technical work on the model and proof theories of paraconsistent logic, in contributions from top scholars in the field. Graham Priest’s research has had a considerable influence on the field of philosophical logic, especially with respect to the themes of dialetheism—the thesis that there exist true but inconsistent sentences—and paraconsistency—an account of deduction in which contradictory premises do (...) not entail the truth of arbitrary sentences. Priest’s work has regularly challenged researchers to reappraise many assumptions about rationality, ontology, and truth. This book collects original research by some of the most esteemed scholars working in philosophical logic, whose contributions explore and appraise Priest’s work on logical approaches to problems in philosophy, linguistics, computation, and mathematics. They provide fresh analyses, critiques, and applications of Priest’s work and attest to its continued relevance and topicality. The book also includes Priest’s responses to the contributors, providing a further layer to the development of these themes. (shrink)

Bergin, Helen Review of: Priest, poet and theologian: Essays in honour of Anthony Kelly CSSR, by Neil Ormerod and Robert Gascoigne, eds,, pp. 253, $36.95.

It is shown that there are categorical differences between sentences and statements, which have the consequence in particular that there are no paradoxical cases of self-reference with the latter as there are with the former. The point corrects an extensive train of thought that Graham Priest has pursued over recent years, but also a much wider tradition in logic and the foundations of mathematics that has been dominant for over a century. That tradition might be broadly characterized as Formalist, (...) or Nominalist, and the improved understanding of statements leads us instead into a more Realist approach and thereby contentful logic and mathematics. (shrink)

According to metaphysical realism, there may be features of reality which we cannot conceive. If this thesis of cognitive closure is inconsistent, then, pace dialetheism, metaphysical realism proves incoherent. Recently, Graham Priest has revived Berkeley's idealist argument meant to show that cognitive closure is inconsistent. If cogent, this argument poses a threat to metaphysical realism. I argue that while Priest's reconstruction of Berkeley's argument may be seen to be paradoxical on one interpretation of ‘conceive’, that interpretation is not (...) the intended one. On the intended interpretation, the argument fails and hence leaves metaphysical realism unassailed. (shrink)

In his article ‘The Structure of Emptiness’, 467–80. doi: 10.1353/pew.0.0069[Crossref], [Web of Science ®] [Google Scholar]) Graham Priest examines the concept of emptiness in the Mādhyamaka school of Nāgārjuna and his commentators Candrakīırti and Tsongkhapa from a mathematical point of view. The approach attempted in this article does not involve any commitment to Priest's more controversial dialethic Mādhyamaka interpretation. The purpose of the present paper is to explain Priest's sketchy but very insightful interpretation of objects as non-well-founded (...) sets in greater detail. Some problems concerning his idea to model the Mādhyamaka claim of the emptiness of emptiness by means of this kind of framework will be noted. Moreover, we will also discuss the possibility to represent the Mādhyamika's denial of the existence of irreducible constituents of empirical reality within a well-founded system of set theory. Finally, some slight mistakes in Priest's mathematical construction need to be pointed out. (shrink)

In his magisterial Religion und Kultus der Römer Georg Wissowa made the statement that a Roman man or woman seeking a priesthood had, among other things, to be free of physical defects. This has since become the communis opinio, sometimes in the form in which Wissowa expressed it, sometimes involving rather the idea that a priest or priestess could be deposed for such defects acquired after entry into the priesthood, and sometimes embracing both concepts simultaneously.

In his magisterial Religion und Kultus der Römer Georg Wissowa made the statement that a Roman man or woman seeking a priesthood had, among other things, to be free of physical defects. This has since become the communis opinio, sometimes in the form in which Wissowa expressed it, sometimes involving rather the idea that a priest or priestess could be deposed for such defects acquired after entry into the priesthood, and sometimes embracing both concepts simultaneously.

The sexual abuse scandal in the Catholic Church captured headlines and mobilized public outrage in January 2002. But much of the commentary that immediately followed was reductionistic, focusing on single "causes" of clerical abuse such as mandatory celibacy, homosexuality, sexual repressiveness or sexual permissiveness, anti-Catholicism, and a decadent secular culture. _Predatory Priests, Silenced Victims: The Sexual Abuse Crisis and the Catholic Church_, a collection of groundbreaking articles edited by Mary Gail Frawley-O'Dea and Virginia Goldner, eschews such one-size-fits-all theorizing. In its (...) place, the abuse situation is explored in all its troubling complexity, as contributors take into account the experiences, respectively, of the victim/survivor, the abuser/perpetrator, and the bystander. Setting polemics to the side, _Predatory Priests, Silenced Victims_ provides a sober and sobering analysis of the interlacing historical, doctrinal, and psychological issues that came together in the sexual abuse scandal. It is mandatory reading for all who seek thoughtful, informed commentary on a crisis long in the making and yet to be resolved. (shrink)

John V. Taylor was a missionary statesman, ecumenist, Africanist, onetime General Secretary of the Church Missionary Society, and later Anglican Bishop of Winchester. His work offers a theology and practice of Christian mission which is faithful to scripture while fully facing the facts of the contemporary world at the beginning of the third millennium. Does Christian evangelism promote sectarianism and violence, or can it contribute to harmony and peace in the global village? Can Christians extol the true significance of Jesus (...) Christ without demeaning others? Who is God and how does God's nature shape ours? This book tackles these and other vital issues by giving the first major account of the life and thought of one of the 20th century's greatest religious thinkers. Here is an example and tutor to any thoughtful Christian. Consistently incarnational and sacramental in his approach, Taylor seeks to live out the truths he discovers in his daily ministry as poet, priest and prophet - inviting those around him to share the way of Christ. Taylor is also author of major works such as "The Go-Between God", his book on the Holy Spirit, and "The Christlike God", where he outlines the distinctive Christian insight into God as the patient, generous, self-sacrificing love we see in Jesus. (shrink)

If the priest is always a sign of transcendence in some form or other, what is his function in the academic community for which he labors?

Daniel, Michael E Review of: Wehrmacht priests: Catholicism and the Nazi war of Annihilation, by Lauren Faulkner Rossi, Cambridge, MA: Harvard University Press, 2015, pp. 255, hardback, $79.00.

The presence of the woman priest presiding at the Eucharist causes a `collision' with traditional phallocentric Christian rites, not least around blood sacrifice. Sociological, philosophical and psychological research has found this to be a male-only practice designed to control women. I argue that the woman priest brings new and recovered meanings and possibilities relating to the maternal divine that revivify and enrich old interpretations associated with the Eucharist. A doubly gendered priesthood symbolically connects bloodshed not only with violence (...) and death but with birth and nurturing, with nature and with community. Women's priesthood calls for sexual difference to be acknowledged and celebrated within the Christian narrative in a way that allows both women and men to flourish as children of God. (shrink)

Religion and faith dominated much of Newton's life and work. His papers, never made available to the public, were filled with biblical speculation and timelines along with passages that excoriated the early Church fathers. Indeed, his radical theological leanings rendered him a heretic, according to the doctrines of the Anglican Church.

Travelling through the foothills of the Pyrenees, the episcopal visitor Guerau Caluet arrived in the parish of Sant Martí de la Vajol on an autumn day in 1314. As in so many parishes visited on his journey, the visitor found that the rector Berenguer kept a concubine, and in this case, was also known to celebrate mass with his grandson and young son. This was not, however, the only blatant violation of canon law and synodal statutes. Berenguer testified that one (...) day in May the sacrist Bernat, from the suffragan church of Agullana, had called on him to deliver the mass for the burial of a female parishioner. The rector recounted that while reciting the gospel for the funeral, he was in need of hosts and was unable to proceed with the mass “until Guillema, the concubine of the sacrist, sent the key to the sacristy where the hosts were.” As it happened, the priest Bernat was out of town and he had entrusted the sacristy keys not to his colleague Berenguer, but to his concubine. (shrink)

Hegel’s distinction between the bad and true infinites has provoked contrasting reactions in the works of Alain Badiou and Graham Priest. Badiou claims that Hegel illegitimately attempts to impose a distinction that is only relevant to the qualitative realm onto the quantitative realm. He suggests that Cantor’s mathematical account of infinite multiplicities that are determinate and actual remains an endlessly proliferating bad infinite when placed within Hegel’s faulty schema. In contrast, Priest affirms the Hegelian true infinite, claiming that (...) Cantor’s formal mechanisms of boundary transcendence, such as ‘diagonalization’, are implicit in Hegel’s dialectic. While arguing that a clear dividing line can be drawn here between these two interpretations of the relationship between Hegel and Cantor, this paper also mounts a defence of the Hegelian true infinite by developing Priest’s suggestion that Cantorian diagonalizing functions are prefigured by Hegel’s dialectical overcoming of limits. (shrink)

The theme of “family religion” has been a staple of Puritan historiography. Yet while scholars have traced many dimensions of family devotional life, they have largely neglected the role of prayer in familial spiritual formation. This article, therefore, looks at Cotton Mather's recommendations and practices related to two critical parental tasks: prayer for children and the instruction of children in prayer. It looks first at Mather's concern about the decline in both practices, locating this neglect in a loss of sensitivity (...) to the supernatural dimensions of child faith. It then explores Mather's attempts to shore up the “priestly” practice of parental prayer for children, analyzing his perspectives on intercession and his own practices within his family. Furthermore, it looks at parents’ “prophetic” role in teaching their children how to pray. The article concludes with reflections on how Mather's proposals and practices can revitalize current thinking about the role of prayer in familial spiritual formation. (shrink)

In this paper, we look at applying the techniques from analyzing superintuitionistic logics to extensions of the cointuitionistic Priest-da Costa logic daC (introduced by Graham Priest as “da Costa logic”). The relationship between the superintuitionistic axioms- definable in daC- and extensions of Priest-da Costa logic (sdc-logics) is analyzed and applied to exploring the gap between the maximal si-logic SmL and classical logic in the class of sdc-logics. A sequence of strengthenings of Priest-da Costa logic is examined (...) and employed to pinpoint the maximal non-classical extension of both daC and Heyting-Brouwer logic HB . Finally, the relationship between daC and Logics of Formal Inconsistency is examined. (shrink)

According to Garfield and Priest’s interpretation, the positive use of the catuskoti by Nāgārjuna in Mūlamadhyamakakārikā (MMK) shows that he endorses a four-valued semantics similar to that of Belnap’s First-Degree Entailment (FDE), while the negative use of the catuskoti by Nāgārjuna in MMK indicates that what he really has in mind is a plurivalent five-valued semantics. This paper argues that their interpretation suffers from a number of problems: adequate logic, collapse of kotis, lack of literature support, and a suitable (...) explanation of the third koti. The final part of the paper combines insights from Westerhoff, Cotnoir, Garfield and Priest together and describes the right interpretation of Nāgārjuna’s use of the catuskoti in MMK with the right semantics and the right logic of MMK. The authors argue that Nāgārjuna’s ‘rebuttal’ of all four kotis in a catuskoti should be understood as a mere denial or a mere rejection of these kotis. (shrink)

In my “Deep Inconsistency”, I compared my meaning-inconsistency view on the liar with Graham Priest’s dialetheist view, using my view to help cast doubt on Priest’s arguments for his view. Jc Beall and Priest have recently published a reply to my article. I here respond to their criticisms. In addition, I compare the meaning–inconsistency view with Anil Gupta and Nuel Belnap’s revision theory of truth, and discuss how best to deal with the strengthened liar.

The late Richard Rorty has sometimes been described as a controversial, or even outrageous, thinker. Yet the reasons that stand behind such a reputation are obviously quite different from in the ca...