Abstract«La divine proportion ne peut cependant pas être exprimée en nombres de façn exacte; néanmoins elle peut être exprimée de telle façon que, à travers un processus infini, nous pouvons en rapprocher de plus en plus et en délimitant le carré nous ne sommes jamais à plus d'une unité.» [Kepler, 1608].

The existence of a mathematical theory determining the shape of the Great Pyramid is a long‐standing assumption, and speculation on the subject dates back to Herodotus. Roger Herz‐Fischler's study presents and discusses eleven major theories and their proponents in the light of archaeological and philosophical considerations. The historiographical aspect of the study is very useful, as is the formulation and discussion of some of the problems. A brief sociological case study of the Pi‐theory and the reasons for (...) its propagation and popularity in Britain is particularly interesting. But although this book offers much that will be of interest to professional and amateur historians of mathematics and pyramid enthusiasts, it does not provide a definitive conclusion to the 2,500‐year‐old debate.Having dismissed all but three of the theories and unable to decide among them, Herz‐Fischler reaches the rather extraordinary conclusion that there may have been no true theoretical basis for the angles of inclination that might have been established “by eye” . In settling for this interpretation, however, he fails to consider how the angle would have been replicated on the different sides of a pyramid or how angles of inclination would have been maintained or transferred to other pyramids of different sizes: for example, Khufu's three queens' pyramids have slopes virtually identical to those of the main pyramid .The three theories among which Herz‐Fischler cannot decide are all proportion‐based theories, two relating to the angle of inclination and one to the angle of the arris . This conclusion is significant in its own right and relates to practical building considerations. Herz‐Fischler is keen to distinguish mathematically between integer proportional systems and the seked theory , a system attested in ancient Egyptian mathematical texts and related to the division of the cubit into seven palms, each of four fingers. But the close relation between these two methods of measurement in practical terms is clear, and either one could have been used with ease by an ancient builder.Herz‐Fischler states that “there simply is no archaeological evidence for the above three rise over run based theories” . Here he is too quick to dismiss the evidence presented by Flinders Petrie from a mastaba at Meidum . Outside the corners of the structure are walls with traces of horizontal lines at cubit intervals and sloping lines marking the inclination of the faces. Herz‐Fischler points to the lack of marks to indicate how the slope was constructed, but he fails to consider how an identical slope was constructed eight times around the structure if such a horizontal measurement was not used. Nor are the corners of the structure level; thus the correct measurements must be calculated relative to the depth. Mark Lehner, in his Complete Pyramids , page 220, offers evidence from Giza that the builders constructed the corners by measuring in a certain distance from reference points outside the sides. The pyramid drawing from Meroe based on a rectangular grid does not necessarily conflict with a rise and run theory and certainly shows that a proportional system was used relating side length to height. I find this archaeological evidence for the use of rise over run theories convincing, if limited, and it strongly supports side‐inclination based theories over those relating to the arris.The Meroe drawing cannot be taken as reliable evidence that the seked theory was not used in Fourth Dynasty structures , as it dates to over 2,000 years after the Great Pyramid was constructed and lies outside Egypt. As for the question of whether a seked‐based system or integers were used to construct the angle of the sides, Herz‐Fischler could have used the measured angles of sloping corridors and shafts inside the Great Pyramid that must have been constructed using similar techniques. Further, he makes no attempt to apply these theories to the slopes of other pyramids, although in some cases he does consider examples presented by other authors. Applying these theories more broadly might lead to more decisive results. Before readers undertake to do so themselves, however, they should be alerted that some of the measurements given in Appendix 2 are out of date. Corrected figures are: Abu Rawash, c. 52° ; Bent Pyramid, 55° 00′ 30″ , 43° 01′ 30″ ; Red Pyramid, 44° 44′ . In this last example considerable variation was noted in the inclination of different stretches of the same pyramid face, which suggests that an angle of 45° was intended. This observed variation is very significant considering how little of the casing of the next pyramid constructed—the Great Pyramid—is preserved .Although I find Herz‐Fischler's conclusions rather weak and some of his treatments of archaeological sources too dismissive, this volume provides a useful introduction to the subject and a clear formulation of the problems involved. It is, then, a thought‐provoking contribution to a long‐standing debate. (shrink)

Over the past generation, the rise of East Asia and especially China, has brought about a sea change in the economic and political world order. At the same time, global warming, environmental degradation, food and water shortages, population explosion, and income inequities have created a perfect storm that threatens the very survival of humanity. It is clear now that the Westphalian model of individual sovereign states seeking their own self-interest will not be able to respond effectively to this win-win or (...) lose-lose crisis. In this volume, a cadre of distinguished scholars comes together to reflect on Confucianism and Deweyan pragmatism as possible resources for a new geopolitics that begins from an ontology of interdependence and recognizes the irreducibly ecological nature of the human experience at every level. Both Confucian and Deweyan traditions emphasize the primacy of experience, the importance of vital relationality, and the moral roots of good governance. The potential benefits of conceptually blending the two are many. Indeed, the contemporary Chinese philosopher Tang Junyi provides us with a cosmological understanding of the "idea" of Confucianism that, in parallel to Dewey's "idea" of democracy, can enable us to anticipate the core values, if not the specific contours, of a "Confucian democracy." Just as Dewey's "idea" of democracy is his vision of the flourishing communal life made possible by the contributions of the uniquely distinguished persons that constitute it, Tang Junyi's Confucianism is a pragmatic naturalism directed at achieving the most highly integrated cultural, moral, and spiritual growth for the individual-in-community. In both, we find an affirmation of communal harmony as a process "starting here and going there" through which those involved learn together to do ordinary things in extraordinary ways. Just such a cosmological understanding of democracy is one way of describing what will be needed to address the many predicaments characterizing the environmental, cultural, socioeconomic, and political dynamics of the twenty-first century. (shrink)

The author discusses how Rand’s largely underdeveloped concept of the “dual-aspect objective,” first introduced in the 1960s, is vital for understanding how knowledge is grounded in reality. He defines it, then applies it to perception and introspection, and to concepts, propositions, and syllogisms. The author also defines content of awareness, carefully distinguishing it from both object and form of awareness, and applies those distinctions throughout. In addition, he discusses how truth is both dual-aspect and contextual, and he extends his discussion (...) in Part 1 of Rand’s “unit-perspective,” showing how units, too, have a dual-aspect, even on the level of syllogisms. (shrink)

In this third installment of his series on key, underappreciated ideas in Ayn Rand's epistemology, the author discusses the nature of differentiation and integration as the functional essence of consciousness and applies that insight to various cognitive and noncognitive processes of awareness, with a special emphasis on logic and illogic. He offers an extended analysis of the fallacies of “Frozen Abstraction” and “False Alternative,” as well as critiques of a long-standing Objectivist conflation of falsity and contradiction and a relatively more (...) recent Objectivist error, the fallacy of “genuine awareness.”. (shrink)

Grâce aux œuvres, qui amplifient notre expérience du monde, des êtres et des choses qui le peuplent, nous découvrons que notre attention n'est pas uniforme dans ses accueils et ses inflexions, mais qu'elle se constelle autour de foyers. Certains de ces foyers sont établis, partagés. D'autres sont singuliers, labiles, résultats d'une élaboration subjective qui opère par rapprochements et découpages au sein des catégories artistiques, esthétiques, historiques. Le présent essai porte sur l'un de ces foyers, que le néologisme « intranquillité » (...) est venu nommer, autour duquel se groupent les écrits du poète portugais Fernando Pessoa et de ses « hétéronymes », une série de dessins réalisés par Tatiana Trouvé, la pensée poéthique selon Jean-Claude Pinson et le Monsieur Hulot de Jacques Tati. Il s'attache à restituer l'enquête menée auprès de ce foyer, afin d'éclairer les raisons de sa formation, et d'en dégager un sens susceptible, à son tour, d'être partagé. (shrink)

Anyone with a serious interest in analytical psychology or existential phenomenology will need to take account of this book.

In lieu of an abstract, here is a brief excerpt of the content:CALL FOR PROPOSALS TRAUMA AND HEALING 12TH EAST-WEST PHILOSOPHER’S CONFERENCE MAY 24-31, 2024 The 12th East-West Philosopher’s Conference will explore the many dimensions of trauma and healing. While trauma can be physical, it can also be psychological, social, political, economic, and cultural—encompassing the immediate effects of global pandemics, the ongoing impacts of ethnic and gender bias, the intergenerational legacies of colonization and geopolitical strife, and the planetary ramifications of (...) anthropogenic climate disruption. Ours is an era in which differences of histories, cultures, and identities are engaged as sources of insight, but also one of retrenchment—a period of relational appreciation, but also one of schism. The global scientific community’s response to the COVID-19 pandemic was a stunning example of human potential for empathetic collaboration in the face of global personal and public health trauma. Yet, the economic trauma of the pandemic has resulted in crumbling international alliances, deepening trade wars, and an unfortunate collective reinvestment in zero-sum endgame framings of geopolitics against which there is no vaccination and through which the terms of healing have become delinked from the restoration of global wholeness. These traumas do not stop shaping our lives when the immediate danger comes to an end. Traumatic pain remains stored in the memories of peoples and individuals, it populates their imagination and shapes horizons of possibility. Thus a philosophical exploration of trauma and healing is not only diagnostic of current problems but also a form of genealogy. We invite participants to reflect upon the relational complexity of both trauma and healing, critically and historically engaging concrete occurrences of trauma while also drawing out theoretical insights regarding healing that strengthens and empowers and resists the forms of personal and social amnesia that make the repetition of trauma so tragically common. Of special interest are panels and papers that explore the trauma and healing at all scales from the interpersonal, to the relational traumas experienced by nations at war and cultures in conflict, thus addressing the interplay of the private and public spheres, of ethics and economics, of the human and the natural sciences, and among disciplines, classes, genders, and generations. Panel and paper proposals are encouraged that explore trauma and healing during the ongoing COVID-19 pandemic, the trauma of refugees, displaced and colonized peoples, trauma and healing in personal relationships, climate change as a form of trauma to the planet and its people, trauma and healing related to issues of gender and sexuality, and how philosophers of all traditions, ancient and modern, cross-culturally deal with trauma and healing. KEYNOTE PRESENTERS: Jin Y. Park, Chair of Philosophy and Religion at American University, Washington DC, “Translating Violence.” Ato Quayson, Jean G. and Morris M. Doyle Professor of Interdisciplinary Studies at Stanford University, CA, “The Ethnography of the Private Sphere: Trauma, Domesticity, and Healing in the Work of Toni Morrison.” We invite proposals for individual papers and panels. Please submit a 250-300 word abstract to the Conference organizers via: [email protected]. Submission Timeline: November 1, 2023 Notifications of acceptance for abstracts and panel proposals received by November 1 will be sent out by December 15, 2023. We have established an early submission timeline to facilitate faculty applying to their own institutions for travel funding. Abstracts received after November 1, 2023, will be vetted as received, taking into consideration the late submission. The absolute deadline for abstract submissions is March 15, 2024. After this, we will not be able to accommodate additional proposals. Final Papers Due: April 15, 2024 CONFERENCE REGISTRATION AND LOGISTICS: Hosted in keeping with the Hawaiian Islands’ spirit of aloha, breakfast and lunch will be provided for all registered presenters, as well as an opening reception and final dinner. The Conference does not provide lodging or travel support, but economical lodgings of various kinds are readily available in Honolulu. ABOUT THE EAST-WEST PHILOSOPHER’S CONFERENCE: The East-West Philosophers’ Conference series is the premier forum for convening philosophers from across the academy who are committed to cross-cultural inquiry. The Conference is the oldest continuous international gathering in Hawai‘i and has been a model of productive collaboration between the University of Hawai‘i at... (shrink)

Does economics hold the key to everything or does the recent financial crisis show that it has failed? This book provides an assessment of modern economics that cuts through the confusion and controversy on this question. Case studies of the creation of new markets, the Russian transition to capitalism, globalization, and money and finance establish that economics has been very successful where problems have been well defined and where the world can be changed to fit the theory, but that it (...) has been less successful in tackling bigger problems. The book then offers a historical perspective on how economists have, since the Second World War, tried to make their subject scientific. It explores the evolving relationship between science and ideology and investigates the place of heterodoxy and dissent within the discipline. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Reviewed by:The Oxford Handbook of Charles S. Peirce ed. by Cornelis de WaalRoger WardThe Oxford Handbook of Charles S. Peirce Cornelis de Waal, editor. Oxford, 2024.As scholars of the American tradition, we know Charles Sanders Peirce as an original thinker with personal foibles and complex ideas, a primary source and yet an enigma in the main channel of the tradition. He is most profound in developing an architectonic system (...) that rivals and proceeds beyond Kant in the interest of furthering the inquiry necessary for self-control and the development of the community of inquiry. The object of the Real consistently appears as a figure to Peirce's inquiry as its true home, and the community of self-and-other correcting minds sharing this goal of inquiry may bring themselves together in experience and work. This handbook is an example of such work that extends beyond this immediate occasion, as Peirce reminds us, because once alive within us, how could we conceive of such inquiry ever ending?The vision of Peirce that comes clear in this volume arises from the coherence of his philosophical, logical, and mathematical thought, drawn out by historical as well as recent applications. The significant advance of this handbook is the combination of US and international scholars drawing upon a wide circle of Peirce's influence and interest. The depth and breadth of analysis speaks to the power of Peirce's method of self-correction; it is the engine of his method. We can assess the changes, the principles, and the expressed sentiments, but the origin or character of Peirce's sentiments themselves or the full ground of the emergence of his ideas remains obscure. De Waal organizes the book in six parts. What follows is an interpretation of the content of these parts via summaries of the chapters and a brief concluding observation.Part I examines Peirce's personal life and interactions with organizations in order to qualify his successes and failures and perhaps explain why this genius had such a difficult life. Daniel L. Everett (chap. 1) represents Peirce as a special case of academic genius and faults the leadership of Johns Hopkins and Harvard for failing to accommodate his behavior and eccentricities and also includes touching narratives of children who knew and cared for the Peirces in Milford (17). Jaime Nubiola and Sara Barrena (chap. 2) examine Peirce's career through his five European trips and their importance for his collaborative scientific ventures, encounters with beauty (39), and as occasions of family drama with first wife Zina Fay and later with Juliette Froissy. [End Page 78] Cheryl Misak (chap. 3) focuses on the difficult behavior of Peirce that finds its complement in the personal animus of Simon Newcomb, who assailed Peirce both at Johns Hopkins and at the US Coast Survey (51, 54). Despite these attacks, Peirce's genius was recognized by Venn, C. I. Lewis, and—through Lady Welby—by Ramsey and Wittgenstein. Pierce's uniqueness as a scientist, philosopher, and logician was mishandled by Charles Eliot and Daniel Gilman, who failed to recognize him as America's leading thinker (55). This beginning brings Peirce's personality forward as an angle of vision on his philosophical and scientific production, setting the ground for the technical evaluations of Peirce's philosophical and scientific career and the lasting impact of his logic and metaphysics after his death.Part II develops the topics of phenomenology and the normative sciences in six chapters. Richard Kenneth Atkins (chap. 4) provides a brilliantly clear description of the development of Peirce's categories and the phaneron that "needs no special tools and is open to all" to engage "whatever comes before the mind" (71). But this does not exhaust the "phaneron" due to the Real that remains beyond the representation by minds. Nathan Houser (chap. 5) develops Peirce's empiricism as the "rain of percepts" that is the inflow of phenomenal content: the "deeper levels of our bottomless lake of consciousness and subconscious mind consists mainly of conceptual or intellectual content based on our perceptual judgments" (88). This challenges Locke's and Dennett's attempts to articulate a completely materialist account of reality. Tiago da Costa... (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Buddhist-Christian Studies 20 (2000) 127-150 [Access article in PDF] They Who Burned Themselves for Peace: Quaker and Buddhist Self-Immolators during the Vietnam War Sallie B. KingJames Madison UniversityNhat Chi Mai was a lay disciple of Thich Nhat Hanh and member of the Order of Interbeing, an Engaged Buddhist order founded by Nhat Hanh. On May 16, 1967, Vesak, the celebration of the birth of the Buddha, she burned herself (...) to death outside the Tu Nghiem Temple, a nunnery. An idealistic young student with much to live for, she sacrificed herself in an effort to bring the war to an end. In a letter to the U.S. government she wrote, I offer my body as a torch to dissipate the dark to waken love among men to give peace to Vietnam the one who burns herself for peace. 1In her farewell letter to Thich Nhat Hanh she wrote, "Thay, don't worry too much. We will have peace soon." 2On November 2, 1965, Norman Morrison, a devout Quaker and ardent pacifist, drove from Baltimore to Washington and burned himself to death at the Pentagon, at a spot estimated to be 40 to 100 feet from the window of Robert S. McNamara, then Secretary of Defense and one of the chief American prosecutors of the war. Shortly before his death, he wrote to his wife, "For weeks even months I have been praying only that I be shown what I must do. This morning with no warning I was shown.... Know that I love thee but must act...." 3 Morrison took his baby daughter, Emily, along with him and held her in his arms as he prepared for his act. Somehow--accounts differ as to how it happened--she was separated from her father before the flames engulfed him and she emerged entirely unharmed, though her clothing smelled strongly of the kerosene with which Morrison had soaked himself. 4There were others who burned themselves to death during the war in Vietnam. The venerable Buddhist monk Thich Quang Duc was the first. On June 11, 1963, [End Page 127] at a downtown crossroads in Saigon, he sat in the lotus posture and, in a state of meditative control, burned himself to death in protest of the Diem regime's repression of the Buddhist religion. Many Vietnamese Buddhist monks and nuns followed his example; I do not know all their names, or exactly how many they were.In America, to my knowledge, eight people burned themselves to death during the war. Two were Quakers: Norman Morrison and Alice Herz. Roger LaPorte, a former Trappist seminarian who had become a Catholic worker, burned himself to death one week after Norman Morrison. The others were: Hiroko Hayasaki, a Japanese-American Buddhist; Erik Thoen, a student of Zen Buddhism; another university student, George Winne; a high school student, Ronald Brazee; and Florence Beaumont, described as a "housewife." A number of others attempted self-immolation but survived. 5In this paper I will focus upon the self-immolations of Norman Morrison and Nhat Chi Mai. I will also have a few comments on Thich Quang Duc. My remarks are intended, however, to have relevance to all the Buddhist and Quaker self-immolators. 6Let us now consider in more detail some of the features of the self-immolations of Norman Morrison and Nhat Chi Mai, and some of the issues they pose to the Quaker and Buddhist communities, respectively. Precipitating Events While neither act was the result of a moment's impulse, we still would do well to ask what events most proximately precipitated the two self-immolations. In Norman Morrison's case, the precipitating events were two. The morning of the day he immolated himself he read a report of the American bombing of a village in Vietnam. Paris Match had published an interview with a French priest, recuperating in a Saigon clinic, who had witnessed and survived the bombing raid. The priest said, "I have seen my faithful burned up in napalm.... I have seen... (shrink)

This article argues that juristic theories must be understood in relation to the historical conditions in which they have emerged. This is not to reduce theories to their context but to gain essential insight into their aims, meaning, and scope with the aid of such “external” reference points. Here I use the ideas of the Swedish legal realist Vilhelm Lundstedt to illustrate these claims, choosing his juristic theory for this purpose specifically because it has been so widely seen as deeply (...) puzzling and “extreme.” The article argues that his central ideas are readily intelligible in historical context. But such a contextual examination of juristic ideas also makes it possible to assess what in them can properly travel beyond immediate context: in other words, what insights about the nature of the jurist's task can legitimately be taken from them for more universal application. Lundstedt's work, despite having been largely ignored or excluded from international juristic debate, has something to offer here if seen through a contextualising lens that sets the possibilities for its broader application in sharp relief. (shrink)

ABSTRACT A discussion of some issues from Grant Gillett's book Reasonable Care. At the metaethical level, Gillett's views about the origin, scope and bindingness of morality are outlined and criticised. Against him it is argued that moral capacity does not follow from linguistic ability, things can matter to non‐concept‐users and universalisability arguments fail to show that immorality is irrational. At the first order level, Gillett's arguments against surrogacy and euthanasia are answered.

Deconstructing life -- Playing games with death -- The hollow crown -- The challenging void -- Waiting for God -- Static chaos -- Knots -- Can these dry bones live? -- Frankenstein -- Whirlwinds -- A very human chaos.

The central dilemma for Chinese science and technology (S&T) policy is how to reform and improve such policies without the deleterious interventions of the past. In a centralized S&T system, government intervention has proved at times disruptive and even destructive to efforts at national economic advancement. The historical processes within China have produced an S&T system with enormous potential but plagued by difficulties in investment strategies and capacity for innovation. Simply put, investment levels have been low, and the capacity to (...) generate more funding is lacking. How to improve the situation and confront the competitive challenges posed by a more transparent international economic system are considered in the last part of the article. (shrink)

_Rationality and Religion_ deals with the perennial question of how far religious faith needs reason.