In our recent book (Abraham and Roy 2010) we have repurposed a mathematical model for the quantum vacuum as a model of consciousness. In this model, discrete space and time are derived from a discrete cellular dynamical network. As our model is essentially atomistic, we included in our book a short support chapter on atomism. In this aticle we expand on the few pages of that chapter devoted to the history of atomism, to place the current revival of atomism (...) in a larger context. (shrink)
In this book, Abraham argues that a theological imagination can expand the contours of postcolonial theory through a reexamination of notions of subjectivity, gender, and violence in a dialogical model with Karl Rahner. She raises the question of whether postcolonial theory, with its disavowal of religious agency, can provide an invigorating occasion for Catholic theology.
This volume of newly commissioned essays provides comprehensive coverage of African philosophy, ranging across disciplines and throughout the ages. Offers a distinctive historical treatment of African philosophy. Covers all the main branches of philosophy as addressed in the African tradition. Includes accounts of pre-colonial African philosophy and contemporary political thought.
We motivate and introduce a new method of abduction, Matrix Abduction, and apply it to modelling the use of non-deductive inferences in the Talmud such as Analogy and the rule of Argumentum A Fortiori. Given a matrix with entries in {0, 1}, we allow for one or more blank squares in the matrix, say a i , j =?. The method allows us to decide whether to declare a i , j = 0 or a i , j = 1 (...) or a i , j =? undecided. This algorithmic method is then applied to modelling several legal and practical reasoning situations including the Talmudic rule of Kal-Vachomer. We add an Appendix showing that this new rule of Matrix Abduction, arising from the Talmud, can also be applied to the analysis of paradoxes in voting and judgement aggregation. In fact we have here a general method for executing non-deductive inferences. (shrink)
Recent literature on the role of pictorial representation in the life sciences has focused on the relationship between detailed representations of empirical data and more abstract, formal representations of theory. The standard argument is that in both a historical and epistemic sense, this relationship is a directional one: beginning with raw, unmediated images and moving towards diagrams that are more interpreted and more theoretically rich. Using the neural network diagrams of Warren McCulloch and Walter Pitts as a case study, I (...) argue that while in the empirical sciences, pictorial representation tends to move from data to theory, in areas of the life sciences that are predominantly theoretical, when abstraction occurs at the outset, the relationship between detail and abstraction in pictorial representations can be of a different character. (shrink)
The theories of complexity comprise a system of great breadth. But what is included under this umbrella? Here we attempt a portrait of complexity theory, seen through the lens of complexity theory itself. That is, we portray the subject as an evolving complex dynamical system, or social network, with bifurcations, emergent properties, and so on. This is a capsule history covering the twentieth century. Extensive background data may be seen at www.visual-chaos.org/complexity.
Usury is a concept often associated more with religiously based financial ethics, whether Christian or Islamic, than with the secular world of contemporary finance. The problem is compounded by a tendency to interpret riba, prohibited within Islam, as both usury and interest, without adequately distinguishing these concepts. This paper argues that in Christian tradition usury has always evoked the notion of money demanded in excess of what is owed on a loan, disrupting a relationship of equality between people, whereas interest (...) was seen as referring to just compensation to the lender. Although it is often claimed that hostility towards ‘usury’ has been in retreat in the West since the protestant Reformation, we would argue that the crucial break came not with Calvin, but with Jeremy Bentham, whose critique of the arguments of Adam Smith, upholding the reasonableness of the laws against usury, led to the abolition of the usury laws in England in 1854. There has to be a role for law, whether Islamic or secular, in regulating financial relationships. We argue that by retrieving the necessary distinction between demanding usury as illegitimate predatory lending and interest as legitimate compensation, we can discover common ground behind the driving principles of financial ethics within both Islamic and Christian tradition that may still be of relevance today. By re-examining past ethical discussions of the distinction between usury and just compensation, we argue that the world’s religious traditions can make significant contributions to contemporary debate. (shrink)
In this article I have tried to rebut certain types of arguments which purport to show not merely that God does not exist but that the notion of necessary existence is itself either self-contradictory or senseless. In showing that it is not self-contradictory I have allowed myself the luxury of a negative and a positive approach. Negatively, I have had to show that when the accusation of self-contradiction is made, it is often accompanied, not by an argument but by a (...) sheer assertion. On the rare occasions when an argument is forthcoming, the arguments, I have tried to show, have been invalid, not even, inconclusive. And to the extent that Kant may be said to have argued not simply the impossibility of a genuine proof of the existence of God, but indeed the impossibility of the concept of necessary existence, I have argued out the weakness of Kant's arguments, the most notable of which I have discussed in some detail. Finally, to establish the genuineness of the concept of necessary existence, positively, I have paradoxically made use of a notion from Russell's logic. (shrink)
This article deals with a set-theoretic interpretation of the Talmudic rules of General and Specific, known as Klal and Prat (KP), Prat and Klal (PK), Klal and Prat and Klal (KPK) and Prat and Klal and Prat (PKP).
Mental state reasoning or theory-of-mind has been the subject of a rich body of imaging research. Although such investigations routinely tap a common set of regions, the precise function of each area remains a contentious matter. With the help of functional magnetic resonance imaging (fMRI), we sought to determine which areas are involved when processing mental state or intentional metarepresentations by focusing on the relational aspect of such representations. Using non-intentional relational representations such as spatial relations between persons and between (...) objects as a contrast, the results ascertained the involvement of the precuneus, the temporal poles, and the medial prefrontal cortex in the processing of intentional representations. In contrast, the anterior superior temporal sulcus and the left temporo-parietal junction were implicated when processing representations that refer to the presence of persons in relational contexts in general. The right temporo-parietal junction, however, was specifically activated for persons entering spatial relations. The level of representational complexity, a previously unexplored factor, was also found to modulate the neural response in some brain regions, such as the medial prefrontal cortex and the right temporo-parietal junction. These findings highlight the need to take into account the critical roles played by an extensive network of neural regions during mental state reasoning. (shrink)
The individual soul is an ageless idea, attested in prehistoric times by the oral traditions of all cultures. But as far as we know, it enters history in ancient Egypt. I will begin with the individual soul in ancient Egypt, then recount the birth of the world soul in the Pythagorean community of ancient Greece, and trace it through the Western Esoteric Tradition until its demise in Kepler's writings, along with the rise of modern science, around 1600 CE. Then I (...) tell of the rebirth of the world soul recently, in new branches of mathematics. (shrink)
This paper explores the work of Nicolas Rashevsky, a Russian émigré theoretical physicist who developed a program in "mathematical biophysics" at the University of Chicago during the 1930s. Stressing the complexity of many biological phenomena, Rashevsky argued that the methods of theoretical physics -- namely mathematics -- were needed to "simplify" complex biological processes such as cell division and nerve conduction. A maverick of sorts, Rashevsky was a conspicuous figure in the biological community during the 1930s and early 1940s: he (...) participated in several Cold Spring Harbor symposia and received several years of funding from the Rockefeller Foundation. However, in contrast to many other physicists who moved into biology, Rashevsky's work was almost entirely theoretical, and he eventually faced resistance to his mathematical methods. Through an examination of the conceptual, institutional, and scientific context of Rashevsky's work, this paper seeks to understand some of the reasons behind this resistance. (shrink)
This paper seeks to explore the significance of a specific kind of religious experience for the rationality of religious belief. The context for this is a gap between what is often allowed as rational and what is embraced as certain in the life of faith. The claim to certainty at issue is related to the work and experience of the Holy Spirit; this experience has a structure which is explored phenomenologically. Thereafter various ways of cashing in the epistemic value of (...) the purported claim to certainty are examined. (shrink)
Any model of ZFC + GCH has a generic extension (made with a poset of size ℵ 2 ) in which the following hold: MA + 2 ℵ 0 = ℵ 2 +there exists a Δ 2 1 -well ordering of the reals. The proof consists in iterating posets designed to change at will the guessing properties of ladder systems on ω 1 . Therefore, the study of such ladders is a main concern of this article.
Forcing extensions yield models of ZFC in which a long sequence of club subsets of ω 1 has the following property: every subsequence of size ℵ 1 has a finite intersection.
Both male ornamentation and male combat result in increased male mortality. Because population sizes are limited by a carrying capacity, increased age-specific adult male mortality will result in decreased age-specific adult female mortality, as well as decreased juvenile mortality. As intersexual competition is one form of intraspecific competition, through choosing to mate with ornamented and/or combative males, females in polygamous systems reduce intraspecific competition. Because average male fitness must exactly equal average female fitness, male fitness will paradoxically rise with increasing (...) male mortality. This theory also offers new perspectives on peripheral problems to sexual theory, such as mate location, resource guarding, leks, harems, and others. (shrink)
We propose a class [I,S] of loss functions for modeling the imprecise preferences of the decision maker in Bayesian Decision Theory. This class is built upon two extreme loss functions I and S which reflect the limited information about the loss function. We give an approximation of the set of Bayes actions for every loss function in [I,S] and every prior in a mixture class; if the decision space is a subset of R, we obtain the exact set.
The thesis of this paper encapsulates the deep suspicion postcolonial theory has of privileged identity claims while ignoring the manner in which identity is negotiated in a postcolonial context. The limits of identity claims with regard to theology and ethics is analyzed through Rahner’s presentation of “Indifferent Freedom” and its impact on gendered subalterns. A feminist postcolonial theological anthropology rejects the dehumanizing consequences of Rahner’s move to condone violence in the face of force in the world. What is needed rather, (...) is a non-violent and embodied response in the face of violence, initiated by the gendered subaltern, which simultaneously captures Rahner’s original intention of linking spirituality to ethics. Gayatri C. Spivak’s notion of the caress to interrupt the dehumanized discourses of exploitation and unequal power is forwarded as the way to being human in the postcolonial context, in order to make Rahner’s theology and spirituality more concrete for postcolonial societies. (shrink)
Despite close scrutiny in recent years, the traditional properties of LTP are holding up remarkably well, and they remain a credible influence on the belief that LTP has something to do with learning and information storage.
William J. Abraham (2010). Church. In Charles Taliaferro & Chad V. Meister (eds.), The Cambridge Companion to Christian Philosophical Theology. Cambridge University Press.score: 30.0
These essays represent an important contribution to modern philosophical theology. They begin with an appreciation of Basil Mitchell's work and then discuss the role of reason in the justification of Christian theism, giving special attention to the nature of informal reasoning in religion and science. The latter essays examine particular arguments raised by specific religious concepts, covering such topics as the problem of evil, conspicuous sanctity, atonement, and the Eucharist. Drawn from a wide spectrum of philosophers and theologians, the contributors (...) include Maurice Wiles, Grace M. Jantzen, Gordon Kaufman, J.R. Lucas, Rom Harr'e, Richard Swinburne, and Michael Dummett. (shrink)
For a stationary set $S \subseteq \omega_{1}$ and a ladder system C over S, a new type of gaps called C-Hausdorff is introduced and investigated. We describe a forcing model of ZFC in which, for some stationary set S, for every ladder C over S, every gap contains a subgap that is C-Hausdorff. But for every ladder E over \omega_{1} \ S$ there exists a gap with no subgap that is E-Hausdorff. A new type of chain condition, called polarized chain (...) condition, is introduced. We prove that the iteration with finite support of polarized c.c.c. posets is again a polarized c.c.c poset. (shrink)
Why do we admire Abraham1 so much? The standard answer is that Abraham’s faith in God is very great. Now in the context of Genesis, “faith in God” does not mean “belief in God’s existence.” Polytheism, not atheism, is the adversary in Genesis. Nor does “faith in God” mean “believing in order that we may come to understand God”2 or “believing because we cannot fully understand God”3 or “believing despite what we understand about God.”4 To minimize anachronism and controversy (...) I shall work with a minimalist reading of “faith in God,” a meaning shared by all interpretations. On every plausible conception of faith, if Abraham has faith in God, then he trusts God’s word. In Genesis “faith in God” means at least, “trusting that God will keep His promises.”5 But Abraham does not display this sort of faith. I shall argue that Abraham actually displays a lack of trust in God throughout his whole life. To show this I shall review the events of Abraham’s life, assessing his level of faith in God at each point. (shrink)
All of the ingredients for what has become known as Anselmian perfect being theology were present already in the thought of St. Augustine. This paper develops that thesis by calling attention to various claims Augustine makes. It then asks whether there are principled reasons for determining which properties the greatest possible being has and whether an account of what contributes to greatness can settle the question whether the greatest possible being is the same as the God of Abraham, Isaac, (...) and Jacob. The paper develops Augustine’s answer to the first question by extracting several principles he endorses that generate a hierarchy of greatness. It addresses the second question by discussing the requirements of worship and of creation. (shrink)
The explicit topic of Fear and Trembling's third Problema (the longest single section, accounting for a third of the book's total length), the theme of Abraham's silence stands not far in the background in every other section, and its importance is flagged by the pseudonym—Johannes de silentio—under which Kierkegaard had the book published. Here I aim to defend an interpretation of the meaning of the third Problema's central claim—that Abraham cannot explain himself, 'cannot speak'—and to argue on its (...) basis for an interpretation of the work as a whole. (shrink)
A significant challenge faces any ethic that endorses the view that divine commands are sufficient to impose moral obligations; in this paper, I focus on Kierkegaard's ethic, in particular. The challenge to be addressed is the “modernized” problem of Abraham, popularized especially by Fear and Trembling: the dilemma that an agent faces when a being claiming to be God issues a command to the agent that, by the agent's own lights, seems not to be the kind of command that (...) a loving God would issue. Against a solution to this problem proposed by C. Stephen Evans in Kierkegaard's Ethic of Love, I argue that Kierkegaard regards this scenario as never actually resulting in a fully responsible agent's performance of some horrendous action on account of her non-culpable misinterpretation of God's will and/or failure to discern correctly whether a perceived moral imperative truly is divine in origin. (shrink)
This cogently argued and richly illustrated book rejects the dichotomy between the God of Abraham and the God of the philosophers to argue that the two are one. In God of Abraham, one of our leading philosophers of religion shows how human values can illuminate our idea of God and how the monotheistic idea of God in turn illuminates our moral, social, cultural, aesthetic, and even ritual understanding. Throughout Goodman draws on a wealth of traditional, philosophical, historical, and (...) anthropological materials, and particularly on a wide range of Jewish sources. He demonstrates how an adequate understanding of the interplay of values with monotheism dissolves many of the longstanding problems of natural theology and ethics and guides us toward a genuinely humanistic moral and social philosophy. (shrink)
Archetypal psychology suggests the possibility of a leadership archetype representing the unconscious preferences of human beings as a species about the appropriate relationships between leaders and followers. Mythological analysis compared God’s leadership in the Abraham myth with modern visionary, ethical and situational leadership to find similarities reflecting continuities in human thinking about leadership over as long as 3600 years. God’s leadership behavior is very modern except that God is generally more relationship oriented. The leadership archetype that emerges is of (...) a leader that develops his/her follower by reliably maintaining a vision, behaving according to firm ethical values even when it weakens the leader’s authority, accepting suffering when the follower is unreliable, and always forgiving even when the follower behaves with hubris in an attempt to overthrow the leader. If God’s leadership principles were mandatory in management, many dysfunctional leaders would be disqualified and many of the negative consequences of poor leadership might be averted. (shrink)
This paper recasts the normative shape of "Fear and Trembling" by presenting an 'ethical reading' based on an ethic of care. It will be argued that Abraham's response represents a commitment to sustain and deepen his fundamental relationship with God, to make absolute his relation to the Absolute. Since most readers tend to focus myopically on 'the trial' itself, apart from the context and history of the God-relationship, the proffered interpretations tend inevitably to distort the nature and significance of (...)Abraham's form of life. By remembering the pattern of attachment between God and Abraham, I think that a different normative picture will emerge, one which can be expressed in the grammar of care. (shrink)
Would the Jewish tradition agree with Søren Kierkegaard's claim that the biblical episode of Abraham's near-sacrifice of Isaac represents a fearful "teleological suspension of the ethical"? After surveying a variety of classical Jewish sources, the author concludes that Kierkegaard's interpretation has almost no resonance within the Jewish tradition. Rather than involving a suspension of the ethical, this episode is viewed by Jewish writers as involving a moment of supreme moral responsibility on the part of both God and man. This (...) treatment of the biblical episode points up a central fact about the Jewish tradition: although Judaism is unquestionably an ethical tradition based on the divine command, it is also a tradition of human autonomy and reason. If Jews have regarded God's commands as absolute, they have also found it unthinkable that these commands should ultimately defy our human sense of right and wrong. (shrink)
This paper recasts the normative shape of Fear and Trembling by presenting an ‘ethical reading’ based on an ethic of care. It will be argued that Abraham's response represents a commitment to sustain and deepen his fundamental relationship with God, to make absolute his relation to the Absolute. Since most readers tend to focus myopically on ‘the trial’ itself, apart from the context and history of the God-relationship, the proffered interpretations tend inevitably to distort the nature and significance of (...)Abraham's form of life. By remembering the pattern of attachment between God and Abraham, I think that a different normative picture will emerge, one which can be expressed in the grammar of care. (shrink)
A century after his landmark report Medical Education in the United States and Canada (1910), Abraham Flexner remains an icon in the history of American medical education. Working for the Carnegie Foundation for the Advancement of Teaching, he visited each of the 155 medical schools then in existence in the United States and Canada, after which he published a blistering, muckraking report. This report helped bring about the destruction of the proprietary medical school, put forth the Johns Hopkins School (...) of Medicine as the ideal of what a medical school should look like, and established Flexner as the unchallenged arbiter of educational reform in American medicine. Two years after the report, he became assistant .. (shrink)
Is the good news of Jesus Christ bad news for the Jewish neighbor? -- Kierkegaard and Hegel on Abraham : the openness and complexity of the modern context -- The problem, part I : the "perfect storm" of Christological interpretive imperialism -- The problem, part II : the good news of the Gospel and the bad news for the children of Abraham -- The remedy, part I : dispersing the "perfect storm" -- The remedy, part II : the (...) debt to modernity : interpretive imperialism in a higher key -- The remedy, part III : Abraham must die -- Postmodern discernment and the limits of the ethical : the way of justice -- The problem as remedy : an interpretive imperialism "without weapons"? -- Conclusion : faith seeking the ethical. (shrink)
This paper presents an interpretation of the paradoxical decision of Abraham done by Søren A. Kierkegaard in his work Fear and Trembling as an ethics of silence. The main idea is to understand ethics not as moral standards or specific duties, but as the responsibility of becoming a single individual in time; singularity as the intimate and personal relationship with the calling of love. In such a way, that silence is the experience of the encounter with the paradox that (...) being human means to be singular in conditions that claim an universal and general transparent manifestation dependent of the dominant rational discourse.Then, silence becomes the fundamental ethical claim to become a human person, as spirit in time, where it becomes a time of trial and examination, a temporality, where the trial is the fidelity to love’s calling, the listening of the possibilities that are presented by the anxiety of the decision. These possibilities are not immanent to the world or to history, they call for a personal choice, always containing a space of revelation; therefore of listening to the interiority of the personal choice that for Kierkegaard is the passion of faith, communicated and lived in silence. Concluding that an ethics of silence by the image of Abraham implies to re-think the role of philosophy in relationship to faith, hope and love in time, as a silent thought. (shrink)
A convincing defense of a divine command theory of the nature of obligation must address our darkest fear about God's commands--the fear that God may command something evil. Certainly some of the things that God has been thought to require have been evil. Rivers of blood have been shed in obedience to supposed divine commands. Can we accept a divine command theory without assuming a potential obligation to perform such horrible deeds?
Though there are significant points of overlap between Michelle Kosch's reading of Fear and Trembling and my own, this paper focuses primarily on a significant difference: the legitimacy or otherwise of looking to paradigmatic exemplars of faith in order to understand faith. I argue that Kosch's reading threatens to underplay the importance of exemplarity in Kierkegaard's thought, and that there is good reason to resist her use of Philosophical Fragments as the key to interpreting the 'hidden message' of Fear and (...) Trembling. Key to both claims is the Concluding Unscientific Postscript. I also briefly sketch an alternative reading of the 'hidden message', one in which Kierkegaard's Christian commitments play a notably different role. (shrink)
Introduction By Charles Randall Paul Thank you very much. Thank you very much Reverend Kowalski. I will now introduce our panel. I'll make my own remarks I ...
This volume brings together eleven original essays representing the views of both critics and defenders of the character of God as portrayed in these texts.
It examines the question whether current interpretation is correct in assuming that the thesis is primarily concerned with working out a synthesis between ...
