Officially inaugurated in 1925, the Hebrew University of Jerusalem was designed to serve the academic needs of the Jewish people and the Zionist enterprise in British Mandatory Palestine, as well as to help fulfill the economic and social requirements of the Middle East. It is intriguing that a university with such practical goals should have as one of its central pillars an institute for pure mathematics that purposely dismissed any of the varied fields of applied mathematics. This paper tells of (...) the preparations for the inauguration of the Hebrew University during the years 1920–1925 and analyzes the founding phase of the Einstein Institute of Mathematics that was established there during the years 1924–1928. Special emphasis is given to the first terms in which this Institute operated, starting from the winter of 1927 with the activities of the director and one of the founders, the German mathematician Edmund Landau, and onward from 1928 when his successors, particularly Adolf Abraham Halevi Fraenkel and Mihály-Michael Fekete, continued Landau's heritage of pure mathematics. The paper shows why and how the Institute succeeded in rejecting applied mathematics from its court and also explores the controversial issue of center and periphery in the development of science, a topic that is briefly analyzed in the concluding section. (shrink)

We apply Benacerraf’s distinction between mathematical ontology and mathematical practice to examine contrasting interpretations of infinitesimal mathematics of the seventeenth and eighteenth century, in the work of Bos, Ferraro, Laugwitz, and others. We detect Weierstrass’s ghost behind some of the received historiography on Euler’s infinitesimal mathematics, as when Ferraro proposes to understand Euler in terms of a Weierstrassian notion of limit and Fraser declares classical analysis to be a “primary point of reference for understanding the eighteenth-century theories.” Meanwhile, scholars like (...) Bos and Laugwitz seek to explore Eulerian methodology, practice, and procedures in a way more faithful to Euler’s own. Euler’s use of infinite integers and the associated infinite products are analyzed in the context of his infinite product decomposition for the sine function. Euler’s principle of cancellation is compared to the Leibnizian transcendental law of homogeneity. The Leibnizian law of continuity similarly finds echoes in Euler. We argue that Ferraro’s assumption that Euler worked with a classical notion of quantity is symptomatic of a post-Weierstrassian placement of Euler in the Archimedean track for the development of analysis, as well as a blurring of the distinction between the dual tracks noted by Bos. Interpreting Euler in an Archimedean conceptual framework obscures important aspects of Euler’s work. Such a framework is profitably replaced by a syntactically more versatile modern infinitesimal framework that provides better proxies for his inferential moves. (shrink)

Did Leibniz exploit infinitesimals and infinities à la rigueur or only as shorthand for quantified propositions that refer to ordinary Archimedean magnitudes? Hidé Ishiguro defends the latter position, which she reformulates in terms of Russellian logical fictions. Ishiguro does not explain how to reconcile this interpretation with Leibniz’s repeated assertions that infinitesimals violate the Archimedean property (i.e., Euclid’s Elements, V.4). We present textual evidence from Leibniz, as well as historical evidence from the early decades of the calculus, to undermine Ishiguro’s (...) interpretation. Leibniz frequently writes that his infinitesimals are useful fictions, and we agree, but we show that it is best not to understand them as logical fictions; instead, they are better understood as pure fictions. (shrink)

In relation to a thesis put forward by Marx Wartofsky, we seek to show that a historiography of mathematics requires an analysis of the ontology of the part of mathematics under scrutiny. Following Ian Hacking, we point out that in the history of mathematics the amount of contingency is larger than is usually thought. As a case study, we analyze the historians’ approach to interpreting James Gregory’s expression ultimate terms in his paper attempting to prove the irrationality of \. Here (...) Gregory referred to the last or ultimate terms of a series. More broadly, we analyze the following questions: which modern framework is more appropriate for interpreting the procedures at work in texts from the early history of infinitesimal analysis? As well as the related question: what is a logical theory that is close to something early modern mathematicians could have used when studying infinite series and quadrature problems? We argue that what has been routinely viewed from the viewpoint of classical analysis as an example of an “unrigorous” practice, in fact finds close procedural proxies in modern infinitesimal theories. We analyze a mix of social and religious reasons that had led to the suppression of both the religious order of Gregory’s teacher degli Angeli, and Gregory’s books at Venice, in the late 1660s. (shrink)

This article offers a new argument that there must be something rather than nothing, grounded in the PSR. Inspired by the rationalist tradition running from Parmenides to Spinoza and Leibniz, I argue that there must be something rather than nothing because the contrary would constitute a violation of the PSR. In particular, I argue that, if there was nothing, there could be no sufficient reason for it, since nothing at all would exist to serve as a sufficient reason. Therefore, given (...) the PSR, something must exist after all. After presenting and explaining this new argument, I consider a series of objections and replies, and develop some of its broader philosophical implications. (shrink)

Cauchy's sum theorem is a prototype of what is today a basic result on the convergence of a series of functions in undergraduate analysis. We seek to interpret Cauchy’s proof, and discuss the related epistemological questions involved in comparing distinct interpretive paradigms. Cauchy’s proof is often interpreted in the modern framework of a Weierstrassian paradigm. We analyze Cauchy’s proof closely and show that it finds closer proxies in a different modern framework.

This book demonstrates that we need not choose between seeing so-called Presocratic thinkers as rational philosophers or as religious sages. In particular, it rethinks fundamentally the emergence of systematic epistemology and reflection on speculative inquiry in Hesiod, Xenophanes and Parmenides. Shaul Tor argues that different forms of reasoning, and different models of divine disclosure, play equally integral, harmonious and mutually illuminating roles in early Greek epistemology. Throughout, the book relates these thinkers to their religious, literary and historical surroundings. It (...) is thus also, and inseparably, a study of poetic inspiration, divination, mystery initiation, metempsychosis and other early Greek attitudes to the relations and interactions between mortal and divine. The engagements of early philosophers with such religious attitudes present us with complex combinations of criticisms and creative appropriations. Indeed, the early milestones of philosophical epistemology studied here themselves reflect an essentially theological enterprise and, as such, one aspect of Greek religion. (shrink)

This article provides a new reconstruction and evaluation of Kant’s argument in §IX of the second Critique’s Dialectic. Kant argues that our cognitive faculties are wisely adapted to our practical vocation since their failure to supply theoretical knowledge of God and the immortal soul is a condition of possibility for the highest good. This new reconstruction improves upon past efforts by greater fidelity to the form and content of Kant’s argument. I show that evaluating Kant’s argument requires settling various other (...) issues in the interpretation of his moral philosophy, e.g. his account of moral psychology, motivation, education, and development. (shrink)

Introduction -- Closed mindedness in movies -- Failed alternatives to optional thinking -- Optional thinking in movies -- Conclusion.

Historians, philosophers, and physicists portray the 1920s and 1930s as a period of major theoretical breakthrough in physics, quantum mechanics, which led to the expansion of physics into the core of the atom and the growth and strengthening of the discipline. These important developments in scientific inquiry into the micro-world and light have turned historical attention away from other significant historical processes and from other equally important causes for the expansion of physics. World War II, on the other hand, is (...) often seen as the watershed moment when physics achieved new levels of social and technical engagement at a truly industrial scale. Historians have shown that military interests and government funding have shaped physics to unprecedented degree, and according to some, to the extent of discontinuity with earlier practices of research (Forman 1987; Kevles 1990; Kaiser 2002). In this vein, Stuart Leslie wrote, “Nothing in the prewar experience fully prepared academic scientists and their institutions for the scale and scope of a wartime mobilization that would transform the university, industry, and the federal government and their mutual interrelationships” (Leslie 1993, 6). While one can never befullyready for novelties, the contributors to this issue show that developments in interwar physics did prepare participants for their cold war interactions with industry and government. (shrink)

This contribution to the Common Knowledge symposium on xenophilia examines the life choices of two Jews who loved Christianity. Elijah Zvi Soloveitchik, born into an ultra-Orthodox, nineteenth-century rabbinic dynasty in Lithuania, spent much of his life writing a Hebrew commentary on the Gospels in order to document and argue for the symmetry or symbiosis that he perceived between Judaism and Christianity. Oswald Rufeisen, from a twentieth-century secular Zionist background in Poland, converted to Catholicism during World War II, became a monk, (...) and attempted to immigrate to Israel as a Jew in 1958. Rufeisen, while permitted to move to Israel to join a Carmelite monastery in Haifa, was denied the right to immediate citizenship of Israel which the Law of Return guarantees to all bona fide Jews. And this particular Soloveitchik has largely been forgotten, given the limits of Jewish interest in the New Testament and of Christian attention to rabbinic literature. This article explores the complex and vexing questions that the careers of these two men raise about the elusive distinctions between Judaism and Christianity, on the one hand, and, on the other, between the Jewish religion and Jewish national identity. (shrink)

The research examined the use of moral justification as a mediating mechanism of stress, used by compulsory Israeli soldiers who had served at army roadblocks in the West Bank. Employing Bandura’s model of moral disengagement, we expected that the greater the justification of army roadblocks by the soldier, the more he would feel adjusted to army demands. Feelings of adjustment to this situation were examined using three components: cognitive, affective and behavioral. The sample was composed of 170 Israeli ex-soldiers who (...) had served for at least 1 month at army roadblocks in the West Bank during the Al-Aksa Intifada. The results supported the hypothesis regarding association between moral justification and feelings of adjustment at the end of army service. The mediating hypothesis was partially supported. Significance of moral justification as a mechanism of coping with the enforced situation of military law is discussed. (shrink)

This article imagines an alternative outcome to Hegel’s life-and-death struggle for recognition, one commensurate with Derrida’s critique of Hegel’s allegedly reserved negativity. Rather than pro-ducing lord and bondsman, the struggle is shown to be capable of producing a host and a guest, operating under the relation of hos-pitality. Pitt-Rivers’s reinterpretation of Boas’s classic ethnographic account of Inuit hospitality provides a model for the emergence of the alternative outcome. Derrida’s equation of deconstruction with hospitality illustrates its fundamental differences from Hegelian dialectics, (...) expanding the significance of the struggle and its out-comes to the meaning of Hegel’s philosophy as a whole. (shrink)

This article argues that Empedocles’ trust in Strife (DK31 B115.14 = LM22 D10.14) is not, as the prevailing interpretation has it, only a past misjudgement and failure. Rather, trust in Strife still, and to his own lament, infects Empedocles’ mind and informs his life. This detail then offers a fresh perspective on Empedocles’ self-conception and on how, through the daimōn’s cosmic peregrinations, Empedocles raises and pursues questions of agency and responsibility. Furthermore, it sheds light on Empedocles’ understanding of his own (...) ethical standing: common assumptions to the contrary notwithstanding, he does not see himself as an unqualifiedly successful embodiment of his own ideals. (shrink)

_ Source: _Volume 60, Issue 1, pp 3 - 39 This paper pursues a new approach to the problem of the relation between Alētheia and Doxa. It investigates as interrelated matters Parmenides’ impetus for developing and including Doxa, his conception of the mortal epistemic agent in relation both to Doxa’s investigations and to those in Alētheia, and the relation between mortal and divine in his poem. Parmenides, it is argued, maintained that Doxastic cognition is an ineluctable and even appropriate aspect (...) of mortal life. The mortal agent, however, is nonetheless capable of sustaining the cognition of Alētheia by momentarily coming to think with—or as—his divine soul. (shrink)

In this tribute to Steven T. Katz on the occasion of his seventieth birthday, Michael Zank and Ingrid Anderson present sixteen original essays written by senior and junior scholars in comparative religion, philosophy of religion, modern Judaism, and theology after the Holocaust, fields of inquiry where Steven Katz made major contributions over the course of his distinguished scholarly career. The authors of this volume, specialists in Jewish history, especially the modern experience, and Jewish thought from the Bible to (...) Buber, offer theoretical and practical observations on the value of the particular. Contributions range from Tim Knepper's reevaluation of the ineffability discourse to the particulars of the Settlement Cookbook, examined by Nora Rubel as an American classic. (shrink)

Developers are often the engine behind the creation and implementation of new technologies, including in the artificial intelligence surge that is currently underway. In many cases these new technologies introduce significant risk to affected stakeholders; risks that can be reduced and mitigated by such a dominant party. This is fully recognized by texts that analyze risks in the current AI transformation, which suggest voluntary adoption of ethical standards and imposing ethical standards via regulation and oversight as tools to compel developers (...) to reduce such risks. However, what these texts usually sidestep is the question of how aware developers are to the risks they are creating with these new AI technologies, and what their attitudes are towards such risks. This paper asks to rectify this gap in research, by analyzing an ongoing case study. Focusing on six Israeli AI startups in the field of radiology, I carry out a content analysis of their online material in order to examine these companies’ stances towards the potential threat their automated tools pose to patient safety and to the work-standing of healthcare professionals. Results show that these developers are aware of the risks their AI products pose, but tend to deny their own role in the technological transformation and dismiss or downplay the risks to stakeholders. I conclude by tying these findings back to current risk-reduction recommendations with regards to advanced AI technologies, and suggest which of them hold more promise in light of developers’ attitudes. (shrink)

Our understanding of the nature and processing of figurative language is central to several important issues in cognitive science, including the relationship of language and thought, how we process language, and how we comprehend abstract meaning. Over the past fifteen years, traditional approaches to these issues have been challenged by experimental psychologists, linguists, and other cognitive scientists interested in the structures of the mind and the processes that operate on them. In Figurative Language and Thought, internationally recognized experts in the (...) field of figurative language, Albert Katz, Mark Turner, Raymond W. Gibbs Jr., and Cristina Cacciari, provide a coherent and focused debate on the subject. The book's authors discuss a variety of fundamental questions, including: What can figures of speech tell us about the structure of the conceptual system? If and how should we distinguish the literal from the nonliteral in our theories of language and thought? Are we primarily figurative thinkers and consequently figurative language users or the other way around? Why do we prefer to speak metaphorically in everyday conversation, when literal options may be available for use? Is metaphor the only vehicle through which we can understand abstract concepts? What role do cultural and social factors play in our comprehension of figurative language? These and related questions are raised and argued in an integrative look at the role of nonliteral language in cognition. This volume, a part of Counterpoints series, will be thought-provoking reading for a wide range of cognitive psychologists, linguists, and philosophers. (shrink)

In 1918–1919 Walter G. Cady was the first to recognize the significant electrical consequences of the fact that piezoelectric crystals resonate at very sharp, precise and stable frequencies. Cady was also the first to suggest the employment of these properties, first as frequency standards and then to control frequencies of electric circuits—an essential component in electronic technology. Cady’s discovery originated in the course of research on piezoelectric ultrasonic devices for submarine detection (sonar) during World War I. However, for the discovery (...) Cady had to change his research programme to crystal resonance. This change followed Cady’s experimental findings and the scientific curiosity that they raised, and was helped by the termination of the war. Cady’s transition was also a move from “applied” research, aimed at improving a specific technology, to “pure” research lacking a clear practical aim. This article examines how Cady reached the discovery and his early ideas for its use. It shows that the discovery was not an instantaneous but a gradual achievement. It further suggests that disinterested “scientific” research (rather than “engineering” research) was needed in this process, while research aimed at design was required for the subsequent development of technological devices. (shrink)

Postliberal theology has been a topic of considerable theological debate over the past few decades. In his 2011 book Another Reformation, Peter Ochs deploys a postliberal theological model for the purpose of developing a sophisticated understanding of the future of interreligious relations. Ochs argues that postliberal theology is a reparative theology focusing on alleviating human suffering. He argues that the Christian idea of supersessionism may be the most challenging for Christians to confront as they explore avenues for making interreligious dialogue (...) more effective. Ochs critiques the Mennonite theologian John Howard Yoder's understanding of Zionism as Jewish Constantianism for being an instance of an ostensibly postliberal theology losing its way. In this essay, I offer a critique of Ochs's reading of Yoder, claiming that Yoder's view actually mirrors an important intra-Jewish debate about the relationship between political power and piety, and retrieves an ingenious contribution of both early Judaism and early Christianity that is effaced in today's growing Constantinian approach to Christian imperialism and Jewish nationalism. (shrink)

_ Source: _Volume 25, Issue 1, pp 36 - 58 This essay explores Martin Buber’s rendering of Jesus and the Ba‘al Shem Tov as two exemplars of religious anarchism that create a lens through which to see the symmetry between Judaism and Christianity. The essay argues that Buber’s use of Jesus to construct his view of the Ba‘al Shem Tov enables us to revisit the “parting of the ways” between Judaism and Christianity through the category of the religious anarchist.

In this response to the essays in the symposium on my book Meir Kahane: The Public Life and Political Thought of an American Jewish Radical I tried to clarify and expand some of the thoughtful and astute themes in the remarks of my interlocutors, especially about how the book was not intended to be about one figure but rather an intervention into postwar American and Israeli Judaism through the lens of a maligned figure who is ignored by most American Jews (...) and demonized by most Israeli Jews. Meir Kahane remains present because he never went away. And he never went away because he offered solutions that, while unpopular and egregious, continue to resonate when Jews begin to feel unstable about their place in America or Israel. He is the dark underside of the modern Jewish project that will not go away. (shrink)

In this eye-opening look at the doctor-patient decision-making process, physician and law professor Jay Katz examines the time-honored belief in the virtue of silent care and patient compliance. Historically, the doctor-patient relationship has been based on a one-way trust -- despite recent judicial attempts to give patients a greater voice through the doctrine of informed consent. Katz criticizes doctors for encouraging patients to relinquish their autonomy, and demonstrates the detrimental effect their silence has on good patient care. Seeing (...) a growing need in this age of medical science and sophisticated technology for more honest and complete communication between physician and patients, he advocates a new, informed dialogue that respects the rights and needs of both sides. In a new foreword to this edition of The Silent World of Doctor and Patient , Alexander Morgan Capron outlines the changes in medical ethics practice that have occurred since the book was first published in 1984, paying particular attention to the hotly debated issues of physician-assisted suicide and informed consent in managed care. (shrink)

This article reconstructs and evaluates a debate between Pippin and Žižek over the proper interpretation of Hitchcock’s Vertigo, in relation to Hegel’s concept of reconciliation. Both Pippin and Žižek agree that Vertigo exemplifies Hegelian reconciliation: Scottie exhibits Hegel’s reconciliatory “negation of negation” when he realizes that his lost love Madeleine had really been Judy all along, thereby losing his original loss. Yet Pippin and Žižek disagree on the precise significance of the concept of reconciliation both for the film and for (...) the contemporary world. Žižek argues for a revolutionary reading of reconciliation in Vertigo: we learn from reconciliation that we must make a revolutionary break from the present world, in order to bring about a wholly new world. Pippin argues for a reformist reading of reconciliation in Vertigo: we learn from reconciliation that we must find the “traces of reason” latent in the present world, in order to gradually reform it for the better. Ultimately, I argue that Žižek’s reading offers the more authentically Hegelian approach to interpreting Hitchcock’s Vertigo. But if nothing else, the Pippin-Žižek debate demonstrates the profound intellectual fecundity of the intersections between film and philosophy for understanding our current historical moment. (shrink)

Katz offers such a grammatical account, in which makes it possible for the first time to explain the illocutionary potential of sentences within grammar.

Following the lead of Duncan Pritchard’s “Wittgensteinian Pyrrhonism,” this paper takes a further, comparative and contrastive look at the problem of justification in Sextus Empiricus and in Wittgenstein’sOn Certainty. I argue both that Pritchard’s stimulating account is problematic in certain important respects and that his insights contain much interpretive potential still to be pursued. Diverging from Pritchard, I argue that it is a significant and self-conscious aspect of Sextus’ sceptical strategies to call into question large segments of our belief systemen (...) masseby exposing as apparently unjustifiable fundamental propositions which are closely related in their linchpin role to Wittgenstein’s hinge propositions. In the first instance, the result is a more complex account of both a deeper affinity between Wittgenstein’s approach to hinge propositions and Sextus’ approach to what I termarchaipropositions and a divergence between the two. In the second instance, I suggest how the comparison withOn Certaintycan be illuminating for the interpreter of Sextus. In particular, it can help us to see how the Pyrrhonist’s everyday conduct—common assumptions to the contrary notwithstanding—involves rational procedures of justification, in line with a naturalism reminiscent of Wittgenstein. Furthermore, it can help us to reflect on the Pyrrhonist’s attitude to what Wittgenstein would have called her ‘worldview’. Throughout, I suggest that the comparison with Wittgenstein is interesting, although it must be cashed out differently, not only on the interpretation—or, perhaps, strand—of ancient Pyrrhonism which has the sceptic exempt ordinary beliefs from her suspension of judgement, but also on the interpretation (or strand) which has her disavow all beliefs categorically. (shrink)

This Article takes an experimental approach to test whether the salience of the law as a system that governs an interaction affects people’s preferences. I find that when the law is made salient in an interaction people’s preferences are altered: they express more future-oriented preferences and donate less money to charity, as compared to when the law is not salient in an otherwise identical interaction. When the law is salient in an interaction people also prefer ‘products’ over experiences, but this (...) gap is only marginally significant. The findings suggest that the framing of an interaction as legal tends to evoke cultural scripts and implicit rules of behavior (“common knowledge”) that incorporate the shared assumptions in society about the law. In response, participants interpret the interaction as more rational and instrumental and express preferences accordingly. (shrink)

This article reconstructs and compares Kristeva’s account of psychoanalytic interpretation as a practice of forgiveness with Hegel’s account of the origin of Absolute Knowing in the forgiveness constitutive of mutual recognition. An emphasis on homologies between the memory-work of Kristevan psychoanalysis and the recollective process of Hegelian Absolute Knowing elicits deeper affinities between Kristeva and Hegel than have previously been supposed. Both Kristevan and Hegelian forgiveness operate as the healing of an originary guilt, achieved through the verbal confession and examination (...) of the confessor’s particular biographical and historical past, negating and raising up—sublating or sublimating—the contradictions of consciousness. Psychoanalysis and Absolute Knowing both enact in the present the reconciliation which religion perpetually defers to an unspecified future. While not replacing the institution of legal punishment, Kristevan and Hegelian forgiveness qua personal and social renewal and rebirth provide for the possibility of radical political transformation. (shrink)

This book provides the reader with a theoretical and practical understanding of two health care delivery models: the patient/child centred care and family-centred care. Both are fundamental to caring for children in healthcare organizations. The authors address their application in a variety of paediatric healthcare contexts, as well as the ethical and legal issues they raise. Each model is increasingly pursued as a vehicle for guiding the delivery of health care in the best interests of children. Such models of health (...) care delivery shape health care policies, programs, facility design, resource allocation decisions and day-to-day interactions among patients, families, physicians and other health care professionals. To maximize the health and ethical benefits these models offer, there must be shared understanding of what the models entail, as well as the ethical and legal synergies and tensions they can create. This book is a valuable resource for paediatricians, nurses, trainees, graduate students, practitioners of ethics and health policy. (shrink)

In this paper, I address the theory of excuse, or more precisely, exculpatory excuse, and the question of what it is that justifies the category of excuse. I address different potential grounds for the law of excuse, which are often run together in ways that confound rather than clarify, focusing on the role of blamelessness and unfairness of expectations in the theory of excuse.