The application of paraconsistent logics to theological contradictions is a fascinating move. Jc Beall’s (J Anal Theol, 7(1): 400–439, 2019) paper entitled ‘Christ—A Contradiction: A Defense of ‘Contradictory Christology’ is a notable example. Beall proposes a solution to the fundamental problem of Christology. His solution aims at making the case, and defending the viability of, what he has termed, ‘Contradictory Christology’. There are at least two essential components of Beall’s ‘Contradictory Christology’. These include the dogmatic statements of Chalcedon and FDE (...) logic. The first is the theological contradiction in question. The second is the type of paraconsistent logic. Both components are integral to a contradictory theology in general. I argue that there can be no such thing as an Islamic contradictory theology. I make the case by establishing two points. These points correspond to both integral components of a contradictory theology in general. The first is that an Islamic theological contradiction does not entail an actual (logical) contradiction. The second is that FDE logic, including alternative sub-classical systems of logic, are not adequate in tolerating an Islamic theological contradiction. (shrink)

Prominent philosophers have argued that contradictions contain either too much or too little information to be useful. We dispute this with what we call the “Paradox of the Two Firefighters.” Suppose you are awakened in your hotel room by a fire alarm. You open the door. You see three possible ways out: left, right, straight ahead. You see two firefighters. One says there is exactly one safe route and it is to your left. The other says there is exactly one (...) safe route and it is to your right. While the two firemen are giving you contradictory information, they are also both giving you the perhaps useful information that there is a safe way out and it is not straight ahead. We give two analyses. The first uses the “Opinion Tetrahedron,” introduced by Dunn as a generalization of Audun Jøsang’s “Opinion Triangle.” The Opinion Tetrahedron in effect embeds the values of the “Belnap-Dunn 4-valued Logic” into a context of subjective probability generalized to allow for degrees of belief, disbelief, and two kinds of uncertainty—that in which the reasoner has too little information and that in which the reasoner has too much information. Jøsang had only a single value for uncertainty. We also present an alternative solution, again based on subjective probability but of a more standard type. This solution builds upon “linear opinion pooling.” Kiefer had already developed apparatus for assessing risk using expert opinion, and this influences the second solution. Finally, we discuss how these solutions might apply to “Big Data” and the World Wide Web. (shrink)

There are two overarching aims of the five collated papers that make up my thesis. The first is to demonstrate that making sense of an ineffable Islamic God in virtue of classical logic and various truth theories (under the purview of analytic philosophy) motivates a theological contradiction. The second is to offer a solution to this problem. I spend a substantial part of my thesis establishing the first of these aims. The reason for this is twofold. Firstly, it is to (...) illustrate the incompatibility between an ineffable God of Islam and various modes of logical and metaphysical inquiry that fall under the purview of analytic philosophy. Although, it becomes increasingly evident that we cannot philosophically make sense of an absolute ineffable God, my inquiry still bears relevance. It offers a comprehensive insight into the logical and metaphysical perspectives that are responsible for motivating the theological contradiction in question. Secondly, fleshing out the various logical and metaphysical perspectives helps lay the theoretical groundwork for the solution. It is not my aim to establish the ineffability of God within the Islamic tradition. That is, I do not engage with Islamic theology beyond referring to, and teasing out, an ineffable view of God from selected Islamic theological sources. The primary focus of my work is to establish that theological contradictions are motivated when assessing them against certain (analytic) philosophical modes. This brings me to the second aim of my thesis, namely, the solution. After having established how an Islamic theological contradiction is motivated, it begs a solution. Prior to offering my solution, I evaluate the recent work on Christian contradictory theology by Jc Beall (2019, 2021). Beall’s proposed solution to the fundamental problem of Christology is what he calls ‘Contradictory Christology’. Although this may seem like a plausible solution for an Islamic theological contradiction, I argue to the contrary. Finally, I propose my own solution to the problem. I call this ‘Islamic Mystical Dialetheism’. (shrink)

Graham Priest has argued that changes occur at a moment of change in which objects are in a contradictory state, being in both the state changed from and the state changed to. In “Moments of Change,” the current author rejected this model on the grounds that every change would require an infinite number of other changes, and that for similar regress problems, the model is not compatible with the Leibniz Continuity Condition that Priest appeals to in the model’s support. In (...) “Contradiction and the Instant of Change Revisited,” Priest rightly points out in response that any regress can be stopped by allowing that some changes can occur without a moment of change and that there are some exceptions to the lcc in the case of change. It is argued here that while the regress can be stopped by allowing for exceptions to the rules, the more exceptions that must be allowed and the more similar the excepted cases are to cases of supposed contradiction, the less attractive both the contradictory account of change and the lcc should be. Secondly, it is argued that the intuitions that make the contradictory account of change seem appealing are likely to disappear if we adopt an eternalist model of spacetime, which we should do in any case in order to best accommodate the special theory of relativity. In particular, eternalism undermines our intuitions that there must be a moment of change in order for change to occur, that contradictory moments are required to allow for a Laplacian universe, that motion must be intrinsic to an object at a time, and that change obeys the lcc. (shrink)

It is usually accepted in the literature that negation is a contradictory-forming operator and that two statements are contradictories if and only if it is logically impossible for both to be true and logically impossible for both to be false. These two premises have been used by Hartley Slater [Slater, 1995] to argue that paraconsistent negation is not a “real” negation because a sentence and its paraconsistent negation can be true together. In this paper we claim that a counterpart of (...) Slater´s argument can be directed against the negation operator of classical logic. Carnap’s discovery that there are models of classical propositional logic with non-standard or non-normal interpretations of the connectives will be used to build such an argument. One such non-normal valuation which can be added to the set of classically admissible valuations without altering the set of theorems or the set of valid consequences assigns true to every well-formed formula and, therefore, assigns a designated value to every formula and its negation. We ponder the consequences of these arguments for the claims that paraconsistent negations are not genuine negations and that the negation of classical logic is a contradictory-forming operator. (shrink)

I argue that Giorgio Agamben employs two, contradictory theories of the state in his works. Earlier works, such as "The Coming Community" and "Means without End", suggest that the state today functions as an aspect of the society of the spectacle where spectacle is the logical extension of the commodity form under late capitalism. This part of Agamben's work attributes a determined character to the state and a determining power to the economic forces of capitalism that conditions particular forms of (...) the state. Later work, such as "Homo Sacer: Sovereign Power and Bare Life" and " State of Exception", are preoccupied with the logic of juridical sovereignty and the increased frequency of states of emergency. This part of Agamben's work attributes a determining strength to the state under current conditions. Although his earlier work provides a more coherent narrative of how it is possible to move from contemporary society to ideal community, it does not provide the theory of political action necessary to overcome the power of the state he describes when he theorizes the state in "Homo Sacer" and " State of Exception". None of the three possibilities of political action present in his later works provides passage beyond state sovereignty without violating his philosophical commitments. (shrink)

This article explores the contradictory nature of the ghost in Hamlet and shows how Shakespeare seeks to manipulate the reader’s response in Hamlet by using contradictions and ambiguities. The article also explores the ways in which the reader responds to these contradictions and reconstructs a palpable world in the impalpable world of the text. These contradictions compel the reader to participate in the composition of the text and make him keep changing his own approach to the work with the result (...) that the more he reads the play, the deeper he finds himself entrenched in contradictions. As he fails to grasp the logic of events, the reader relates his own world to the text instead of relating the events of the text to his world and recreates his own world. Therefore, he can easily detach himself from the text and let his imagination run loose as the play proves too vague for him to comprehend. In reading Hamlet, the imagination runs wild and travels far beyond the text to an extent where the reader perceives things, which stand not within but utterly outside the text. Eventually, the reality achieved by the reader in the course of reading the play is only the reality which dwells in the innermost recesses of his mind. (shrink)

While social geographers have convincingly made the case that space is not an external constant, but rather is produced through inter-relations, anthropologists and sociologists have done much to further an understanding of time, as itself constituted through social interaction and inter-relation. Their work suggests that time is not an apolitical background to social life, but shapes how we perceive and relate to others. For those interested in exploring issues such as identity, community and difference, this suggests that attending to how (...) temporal discourses are utilised in relation to these issues is a key task. This article seeks to contribute to an expansion of the debate about time and sociality by contributing an analysis of a variety of ways in which Gloria Anzaldúa utilises temporal concepts as part of her work of rethinking social identity and community. In particular, I suggest that in contesting homogeneous identity, Anzaldúa also implicitly contests linear temporal frameworks. Further, in creating new frameworks for identity, I suggest the possibility of discerning an alternative approach to time in her work that places difference at the heart of simultaneity. I suggest that the interconnection between concepts of time and community within Anzaldúa’s work indicates, more broadly, that attempts to rework understandings of relationality must be accompanied by reworked accounts of temporality. (shrink)

The following are some preliminary remarks that will set the stage for my individual replies to Timothy Pawl, Thomas McCall, A. J. Cotnoir, and Sara L. Uckelman’s responses to my paper ‘Christ – A Contradiction’. In that paper I advance and defend a contradictory Christology which solves the fundamental ‘problem’ of Christology by holding that Christ is a contradictory being: it is true that Christ is mutable and it is false that Christ is mutable; it is true that Christ is (...) immutable and it is false that Christ is immutable; and so on for other fundamental-problem properties. Familiarity with ‘Christ – A Contradiction’ is assumed. (shrink)

The purpose of this article is to express what I call a “conciliar concern” regarding Jc Beall’s recently proposed contradictory Christology. By “conciliar concern” I mean a concern that is likely to be shared by all Christians—be they Catholic, Orthodox, or Protestant—who are committed to the early ecumenical councils. Formulated as an argument, the concern is this: if contradictory Christology is correct, then the early ecumenical councils were misguided. But (conciliar Christians should say that) the early ecumenical councils were not (...) misguided. Therefore, (conciliar Christians should say that) contradictory Christology is not correct. (shrink)

Sibajiban; The self-contradictory and the inconceivable, Analysis, Volume 24, Issue Suppl-2, 1 January 1964, Pages 99–103, https://doi.org/10.1093/analys/24.Sup.

Publication date: 21 March 2019 Source: Author: Solehah Yaacob, Ismail Haron Contradictory views on ancient literary works provide a panorama of historical development. However, the validity of the texts was considered as issue of prime importance. The critics on its literary authenticity would reveal whether it was real or just a fabrication. The Epic Gilgamesh was ascertained by Said Ghanimi to be unauthentic. The contentions by S. N. Kramer and Taha Baqir were with regard to the differences of language usage (...) in the Epic Gilgamesh either Sumerian or Akkadian as well. The acknowledgment of the West on Iliad and Odyssey by Homer as the first document written in world history was unfounded although this was highlighted by B. Lansberger in 7th conference in Paris on 1958. The Code Hamurabbi is a well preserved Babylonian Code of laws, unfortunately, it was considered as a fabrication of Old Testament which came 800 years later, especially on the narration of Big Flood Story as mentioned in the Book of Genesis. It is regrettable that the paucity of materials on the ancient history of the ancient people available from the Muslim sources poses as constrain on this study. The research is compelled to refer almost entirely to Western and Jews sources. Thus, the approach used in this study is based primarily on historical and linguistic analysis of ancient literary works. (shrink)

This book argues that the standard (orthodox) doctrine of incarnation (of "God enfleshed") is best understood along glut-theoretic lines: the incarnate God is a contradictory being. Example: because God, the Christ figure is all-knowing; but because human, ignorant. And so on. Standard theological theory in the tradition recognizes the apparent contradiction in its core doctrines; Beall argues that the appearance should be accepted as veridical.

It is frequently supposed that there exist propositions of a kind appropriately designatable as “self-contradictory”; and in this paper I propose to examine this supposition. It may first be pointed out that some philosophers use the word “proposition” in such a sense that to say there exist self-contradictory propositions is unquestionably to say what is true. They give it such a usage as to make it synonymous with “declarative sentence”; so that a self-contradictory proposition would be a sentence of the (...) general form s · ~s, and the supposition that there are self-contradictory propositions would be equivalent merely to the supposition that there are sentences of the form s · ~s. In this sense of “proposition” it seems quite plain that there are self-contradictory propositions. But it is not this usage of “proposition” with which I shall be concerned in this paper; rather, my concern will be with the usage given it, whether significantly or not, by philosophers like Mr. Russell, who hold that propositions are what literally significant declarative sentences stand for, or express. (shrink)

This article examines the implications of mandatory conscription for women by studying the experience of women soldiers who serve as secretaries in the Israeli military. The author argues that the military service of the secretaries is shaped by three organizing principles: an employment principle of cheap labor, a matrimonial principle of the office wife, and a hierarchy principle that shapes the secretaries as status symbols. Employing the theory of gendered organizations, the author maintains that each one of these organizing principles (...) operates as a gendering and a power mechanism. The convergence of these three gender/power principles results in overgendering of these women and their military experience. This overgendering reflects gender discrimination and creates feelings of alienation and frustration. For them, military service is not an experience that articulates their citizenship or enhances feelings of national belonging but rather stands in opposition to the values and goals of the mandatory people's army by estranging them from the state and its major institution. (shrink)

Drawing on the influence of primacy and recency effects in processing information about corporate social responsibility, the authors examine how internal and external factors impact the consumer-firm relationship in the presence of contradictory CSR information. Evaluating these factors provides a more comprehensive understanding of how consumers react to unethical and socially irresponsible actions. Contrary to recent research that suggests a reactive CSR communication strategy to be best due to recency effects, the present findings show that past customer experiences with the (...) firm facilitate a ‘primacy effect’. Thus, when corporate social irresponsibility occurs, a customer’s prior experiences mitigate negative consequences. Conversely, a firm’s positive CSR reputation may provide goodwill, although it does not guarantee that consumers will process CSR information differently. Therefore, firms cannot build a strong CSR reputation and expect to be immune from the consequences of CSI. Given these new findings of how consumers process contradictory CSR information, firms should implement a strategic and deliberate communication plan that delivers different messages to different stakeholders. Specifically, these findings suggest that firms benefit most from a proactive communication strategy with their current customers and a reactive communication strategy with the general public. (shrink)

Dialetheism is the view that some contradictions are true. One common motivation to the view concerns cases of contradictory concepts obtaining together. Allegedly, in these cases, such concepts lead to a true contradiction. In this paper, we argue that this path is closed as a motivation for dialetheism. There are two basic difficulties to articulate the view: i) once contradictory or incompatible concepts are granted to obtain together, there is no longer any reason to claim that they were incompatible to (...) begin with, and ii) it is not easy to go from such concepts to clear cases of negation-involving contradictions without already assuming the truth of dialetheism. Further difficulties discussed here concern the maintenance of the meaning of important concepts such as “contradiction” in a dialetheist setting. Those difficulties make the case for dialetheism hard to motivate via contradictory concepts. (shrink)

This article aims to demonstrate the unity of faith and reason as irrational and rational elements of the theoretical religious discourse on instances of Christian theoretical thought. This unity was represented as a dialectical contradiction, the violation of which led to the destruction of religious discourse. The contradictory unity of faith and reason was researched in European medieval philosophy and Russian religious philosophy in the first half of the 20th century and in the theoretical systems that were considered ways of (...) explaining the relationship between faith and reason in Christian thought. This article reveals two historical types of the dynamic unity of faith and reason as well as violations of this unity: when medieval authors attempted to find the most effective relationship between faith and reason for Christian theology; and when Russian philosophers attempted to transmit theological knowledge by means of philosophy in the secular age. The results of the dynamic unity violations in both traditions are investigated as the conceptions that had been denied by these traditions. The main conclusion of the article is that Christian theoretical thought maintained the contradictions between faith and reason as a search for its development. (shrink)

“No one can serve two masters.” This Bible quotation highlights an irreducible contradiction, which echoes numerous organizational settings. This article considers the under-explored ethical implications of paradoxical injunctions created by such a contradiction at the managerial level. Contradictory organizational constraints turn into paradoxant systems , where the organization structurally settles paradoxical injunctions which challenge managerial ethics in practice. We then ask what managerial responsibility means in such contexts and find that managers have then to reshape their practice as a situated (...) construction through constant mediation between different “masters” and bricolage (i.e., tinkering with concepts). An ethnographic case study of an anti-money laundering service in an investment bank illuminates this phenomenon from a practice perspective. The possibility to enact an actual ethical practice within the contradictory organization relies on a new role of the manager. This implies drawing on an approach of responsible management as an enactment of ethics in practice which is situated within the framework of a new conception of both the organization, as a structurally “paradoxant system,” and the manager as a mediator in charge of enacting coherence. (shrink)

The dissertation has two parts, each dealing with a problem, namely: 1) What is the most adequate account of fuzziness -the so-called phenomenon of vagueness?, and 2) what is the most plausible solution to the sorites, or heap paradox? I will try to show that fuzzy properties are those which are gradual, amenable to be possessed in a greater or smaller extent. Acknowledgement of degrees in the instantiation of a property allows for a gradual transition from one opposite to the (...) other, each intermediate stage constituting an overlap in certain proportion of both contraries. Hence, degrees in the possession of a property give rise to simple contradictions. The reason why I have chosen those two questions is that they provide the main philosophical motivation for a particular brand of an infinite valued and paraconsistent logic. I will claim that Classical logic (CL) is not adequate to handle fuzzy situations, and, being deficient, is in need of being expanded to make room for degrees of truth and weak contradictions. One can hardly deny the importance of the debate, since what is ultimately at stake is what the limits of truth, rationality, intelligibility and possibility are. The main disciplines within which the research moves are the philosophy of language, philosophy of logic, and ontology. (shrink)

Kripke’s puzzle has puts pressure on the intuitive idea that one can believe that Superman can fly without believing that Clark Kent can fly. If this idea is wrong then many theories of belief and belief ascription are built from faulty data. I argue that part of the proper analysis of Kripke’s puzzle refutes the closure principles that show up in many important arguments in epistemology, e.g., if S is rational and knows that P and that P entails Q, then (...) if she considers these two beliefs and Q, then she is in a position to know that.. (shrink)

This introduction explains the logic of bringing together the perspectives of Hyman Minsky and Karl Polanyi to analyze processes of financialization. Although Minsky and Polanyi have very different intellectual trajectories, there are important complementarities in their approaches. The introduction also explains the focus of the three papers in this special section written by Kurtuluş Gemici, Lucas Kirkpatrick, and David Woodruff.

Both I and Belnap, motivated the "Belnap-Dunn 4-valued Logic" by talk of the reasoner being simply "told true" (T) and simply "told false" (F), which leaves the options of being neither "told true" nor "told false" (N), and being both "told true" and "told false" (B). Belnap motivated these notions by consideration of unstructured databases that allow for negative information as well as positive information (even when they conflict). We now experience this on a daily basis with the Web. But (...) the 4-valued logic is deductive in nature, and its matrix is discrete: there are just four values. In this paper I investigate embedding the 4-valued logic into a context of probability. Jøsang's Subjective Logic introduced uncertainty to allow for degrees of belief, disbelief, and uncertainty. We extend this so as to allow for two kinds of uncertainty— that in which the reasoner has too little information (ignorance) and that in which the reasoner has too much information (conflicted). Jøsang's "Opinion Triangle" becomes an "Opinion Tetrahedron" and the 4-values can be seen as its vertices. I make/prove various observations concerning the relation of non-classical "probability" to non-classical logic. (shrink)

In this chapter, I grant Jc Beall’s assertion that the best understanding of the doctrine of the incarnation posits that Christ is a contradictory being, in the sense that it has him satisfying complementary pairs of predicates. I also argue, however, that by attending to a distinction between predicate negation and sentence negation, this view can be upheld without positing any classical logical contradictions. I argue that the resulting Christological view has several advantages over Beall’s: It is more conservative about (...) avoiding contradiction, exhibits greater logical neutrality, and comports better with Christian tradition. (shrink)

In this paper I argue that Kierkegaard endorses Hegel's theory of mediation, the view that relative opposites are mediated. However, I show that Kierkegaard denies Hegel's thesis that there are all and only relative opposites. I develop two of his arguments against this thesis. The first is existential. This argument comes from the dramatic interplay between A, the often disagreeable aesthete of Either/Or I, and Judge William, the dutiful ethicist of Either/Or II. Judge William convincingly argues that the possibility of (...) future aiming human projects is rendered obsolete if aesthetic and ethical forms of existence are mediated opposites. The second is philosophical. This second argument is offered by Johannes Climacus in Concluding Unscientific Postscript. I show that Climacus issues a reductio argument that I call "the argument from insufficient difference.". (shrink)

The widespread opinion among conceptual historians is that political concepts are always contested in their actual usage. Religious concepts in modernity are also not only contested; they are constructed on an ontological contradiction. They imply that the object to which they refer exists, and at the same time that it does not. I demonstrate this idea using four religious concepts: _religion, God,_ the _beyond,_ and _spirit._ I conclude with discussion on the reality status of religious concepts in modern historiography and (...) religious studies. (shrink)