When I undertook to write an article for mathematical laymen on the mathematical infinite. I did not realize the depths of my own layness, I do now. Having refreshed my memory of the classics of infinity by re-reading among other things the famous papers of Cantor and Zermelo, and having struggled like a boa constrictor to swallow the latest papal bull on the human significance of the infinite, I am completely reduced to what Professor E. W. Hobson aptly and somewhat (...) indignantly calls Mathematical Nihilism. (shrink)

It was Kronecker who sought to avoid the use in mathematics of all numbers other than the positive integers, and he outlined the means for carrying through this program. In the introductory sections of his memoir he briefly indicates the personal philosophy which made such a project appear desirable.

[E.H. Gombrich wrote on May 13, 1975:] . . . I recently was invited to talk about "Art" at the Institution for Education of our University. There was a well-intentioned teacher there who put forward the view that we had no right whatever to influence the likes and dislikes of our pupils because every generation had a different outlook and we could not possibly tell what theirs would be. It is the same extreme relativism, which has invaded our art schools (...) and resulted in the doctrine that art could not possibly be taught because only what has been done already can be taught, and since art is creativity it is not possible to teach it. Q.E.D.—I recently asked my history finalists what "Quod erat demonstrandum" means and they did not know. . . . [Quentin Bell responded on May 15, 1975:] . . . Your teacher at the Institute, is he really a relativist? Isn't he a kind of religious zealot? I used to teach school children. With me there was a much better teacher . One day she came into the room where I had been teaching and found a series of the most surprising and beautiful water colours. "What are these?" said she. I explained that they were copies of Raphael made by eleven and twelve year old children. I would have gone on to explain how interested I was by their resemblance, not to Raphael but rather to Simone Martini, for they had all the shapes beautifully right but none of the internal drawing or the sentiment, but I was checked by her look of horror. "You've made them copy from Raphael?" she said. Her expression was exactly that of someone who had been casually informed that that I had committed a series of indecent assaults upon the brats. And in fact in subsequent conversation it appeared that this was very nearly what she did feel. For her, what she called "self expression" was as precious as virginity. E.H. Gombrich was director of the Warburg Institute and Professor of the History of the Classical Tradition at the University of London from 1959 to 1976. His books include The Story of Art, Art and Illusion, Meditations on a Hobby Horse, Norm and Form, Symbolic Images, The Heritage of Apelles, and In Search of Cultural History. He became a Fellow of the British Academy in 1960, a Commander of the British Empire in 1966, and was knighted in 1972. He is also a trustee of the British Museum and a foreign member of the American Academy of Arts and Sciences and of the American Philosophical Society. His contributions to Critical Inquiry include "Notes and Exchanges" ,"Standards of Truth: The Arrested Image and the Moving Eye" , and, with Quentin Bell, "Canons and Values in the Visual Arts: A Correspondence" . Quentin Bell is professor of the history and theory of art, Sussex University. He has written Virginia Woolf: A Biography, Of Human Finery, Ruskin, Victorian Artists and Bloomsbury. Other contributions to Critical Inquiry are "The Art Critic and the Art Historian" , "Notes and Exchanges" , and "Bloomsbury and 'the Vulgar Passions'". (shrink)

AbstractIntegrity is considered an important corporate value. Yet recent global events have highlighted the challenges firms face at living up to their stated values, especially when extended supply chain partners are involved. The concept of Supply Chain Integrity (SCI) can help firms shift focus beyond internal corporate integrity, toward supply chain integrity. Researchers and managers will benefit from an understanding of the SCI concept toward implementing SCI to better align supply chain partners with stated corporate values. This research fully develops (...) and empirically grounds the firm-level, inter-firm-oriented SCI concept. The thematic analysis of six firms’ archival and website content elaborated empirical descriptions of SCI themes and enabled the development of a process model for SCI, presenting a novel view of the underlying process by which firms can assess, develop, and maintain SCI across their supply chains. We propose the SCI model as an evolutionary process to improve a firm’s supply chain sustainability, rather than a dichotomous end state where firms either “have” integrity or they don’t. The SCI model could be used as a tool to help leaders create necessary change to better align values and supporting statements with culture, while influencing and affecting stakeholders across the supply chain. This is particularly important in today’s world, where business leaders must consider all stakeholders and address important stakeholder-driven issues such as supply chain sustainability, resilience, and security, which are now at the forefront in the ever-changing environment. (shrink)

The question I shall attempt to address in what follows is an essentially historical one, namely: Why did analytic philosophy emerge first in Cambridge, in the hands of G. E. Moore and Bertrand Russell, and as a direct consequence of their revolutionary rejection of the philosophical tenets that form the basis of British Idealism? And the answer that I shall try to defend is: it didn't. That is to say, the ‘analytic’ doctrines and methods which Moore and Russell embraced in (...) the very last years of the nineteenth century were not revolutionary, did not emerge first in Cambridge, were the creation of neither Russell nor Moore and cannot be explained by appeal to facts concerning British Idealism. The adoption of the doctrines and methods which characterised the earliest manifestations of British analytic philosophy are to be explained neither by reference to anything specifically British, nor by appeal to anything unproblematically philosophical. Or so I shall argue. (shrink)

The dissertation's primary task is to discern to what extent the investigations contained in Aristotle's Metaphysics conform to the model of science developed in the Posterior Analytics. It concludes that the Metaphysics substantially follows the model of the Analytics in studying the causes and attributes of a specific nature, although it makes significant departures especially in its conception of the principles of being and substance. ;Two introductory chapters discuss respectively Aristotle's conception of science in the Analytics and the problems one (...) is likely to face in attempting to apply this conception to the Metaphysics . Chapter 3 clarifies the meaning of the phrase "science of being qua being" by reference to the Posterior Analytics, and introduces the concept of pro&d13;v 3&d3;n equivocity. Chapter 4 considers the role of dialectic in metaphysics with particular reference to the principle of noncontradiction. Chapter 5 argues that the second part of Meta. 4.2 introduces a demonstrative science of the per se attributes of being and unity. ;Chapter 6 introduces the investigation into the principles and causes of being and reviews the aporias about the principles . Chapter 7 offers a hypothesis to explain Aristotle's identification of the science of being with first philosophy. The last two chapters argue that Aristotle is pursuing this investigation in the central books of Melaphysics, but his pursuit of the investigation there is incomplete. ;This interpretation provides an alternative to those of T. H. Irwin and Walter Leszl, who argue that metaphysics is a second-order discipline and not a science after the model of the Analytics. It finds explicit support in recent work by Robert Bolton and Alan Code, while widening the range of issues to include the attributes of being and the importance of first philosophy for understanding the nature of being. It supports many of the conclusions of Joseph Owens's, Urbain Dhondt's, and Frede and Patzig's work on the object of metaphysics. There are also substantial discussions of the contributions of G. E. L. Owen, J. G. Stevenson, Theodore Scaltsas, and John Thorp. (shrink)

E=mc 2 is found to be a special case ofE=σ ±1cn, where σ is any one of four susceptibilities, namely electric, magnetic, gravitational, and elastic. Letl be length,t time,Δt time dilation, andΔl a measure of Fitzgerald-Lorentz contraction. A particle is stated to be the manifestation of a collection of susceptibilities which arise when(Δl)/1=(Δt)/t. Then(ΔE)/E=5 (Δt)/2t=±(Δσ)/σ. Corresponding to susceptibility, special energy particles are postulated which exhibitSU(3) symmetry, Related to the susceptibilities are five new Heisenberg uncertainty relations. Three new conservation laws for (...) particles are proposed. (shrink)

K. T. Fann, Ludwig Wittgenstein: the man and his philosophy. New Jersey, Humanities Press; Sussex, Harvester Press: 1967. 415 pp. 10.50.Gerd Brand, The central texts of Ludwig Wittgenstein. Translated and with an introduction by Robert E. Innis. Oxford: Basil Blackwell, 1979. xxv + 182 pp. £ 10.00 /£3.95.Joseph Warren Dauben. Georg Cantor: his mathematics and philosophy of the infinite. Cambridge, Mass., and London: Harvard University Press, 1979. xiii + 404 pp., 4 plts. $25 US.S. Poggi, I sistemi dell'esperienza. Psicologia, logica (...) e teoria della scienza da Kant a Wundt. Bologna: il Mulino, 1977.679 pp., Lit. 12.000.Raymond Bradley and Norman Swartz, Possible Worlds. An introduction to logic and its philosophy. Indianapolis and New York; Hackett Publishing Company: Oxford; Blackwell: 1979. xxi + 391 pp. £15.00 /£4.95.S. Haack, Philosophy of logics. Cambridge and New York: Cambridge University Press, 1978. xiv + 276 pp. £ 13.50.F. J. Pelletier, Mass terms: some philosophicalproblems. Dordrecht, Boston and London: Reidel, 1979. xiii + 303 pp. Dfl. 70/$34.00.Theo A. F. Kuipers, Studies in inductive probability and rational expectation. Dordrecht, Holland and Boston, USA.: D. Reidel Publishing Company, 1978. xii + 145 pp. Dfl. 50/$22.50. (shrink)

In contrast with some recent theories of infinitesimals as non-Archimedean entities, Leibniz’s mature interpretation was fully in accord with the Archimedean Axiom: infinitesimals are fictions, whose treatment as entities incomparably smaller than finite quantities is justifiable wholly in terms of variable finite quantities that can be taken as small as desired, i.e. syncategorematically. In this paper I explain this syncategorematic interpretation, and how Leibniz used it to justify the calculus. I then compare it with the approach of Smooth Infinitesimal Analysis, (...) as propounded by John Bell. I find some salient differences, especially with regard to higher-order infinitesimals. I illustrate these differences by a consideration of how each approach might be applied to propositions of Newton’s Principia concerning the derivation of force laws for bodies orbiting in a circle and an ellipse. “If the Leibnizian calculus needs a rehabilitation because of too severe treatment by historians in the past half century, as Robinson suggests (1966, 250), I feel that the legitimate grounds for such a rehabilitation are to be found in the Leibnizian theory itself.”—(Bos 1974–1975, 82–83). (shrink)

In this chapter I problematize Beauvoir's analogical analyses in The Second Sex, arguing that her utilization of the race/gender analogy omits the experiences and oppressions of Black women. Furthermore, taking into account select secondary literature that emphasizes these issues, I argue that several of Beauvoir's white feminist defenders and critics share in common their non‐engagement with Black feminist literature on Beauvoir. Put another way, Black feminists who explicitly take up Beauvoir in their writings have remained largely unacknowledged in the secondary (...) literature on Beauvoir by white feminists. As a corrective to this erasure, I highlight the scholarly contributions of Black feminists including Loraine Hansberry, Chikwenye Ogunyemi, Deborah King, Oyeronke Oyewumi, and bell hooks. (shrink)

In Martin Luther King’s Debt to Hegel John Ansbro recalls King’s interview with The Montgomery Adviser where King identified Hegel as his favorite philosopher. This kind of observation is engaging on a number of levels and not all of them are complimentary. One of the reasons why Ansbro’s account is both interesting and important is because it will come, for some, as a surprise; it is an observation that has a “shock” value. So long as there is a constituency supporting (...) the racist claims made by such texts as The Bell Curve: Intelligence and Class Structure in American Life, there will be, even in the Academy, those who find it hard to believe, that an African-American could access Hegel’s philosophical project and appropriate it as part of an intellectual enterprise. An attendant phenomenon subsequent to the shock of such disclosures, particularly where they cannot be dismissed as erroneous, is the need to show that the thought in question is in debt to a white male of European descent. That is, it is too often the case that once a black intellectual is recognized for having engaged the western tradition’s philosophical canon the interest is shifted to demonstrating a debt and intimating a lack of originality on the part of the black intellectual. It may be that this is the unintentional slight of some commentators, but the structure for an economy of debt is always already bound up in questions of ownership. The task in navigating these rough waters requires a disciplined analysis of the black intelligentsia’s “readings” of the western canon that does not give way to making hasty assumptions about debt. (shrink)

The view that we are animals -- animalism -- is often misunderstood. It is typically stated in unhelpful or misleading ways. Debates over animalism are often unclear about what question it purports to answer, and what the alternative answers are. The paper tries to state clearly what animalism says and does not say. This enables us to distinguish different versions of animalism.

An important contribution to the foundations of probability theory, statistics and statistical physics has been made by E. T. Jaynes. The recent publication of his collected works provides an appropriate opportunity to attempt an assessment of this contribution.

With so much attention being paid to the development and refinement of appropriate criteria and tests for death, little attention has been given to the broader conceptual issues having to do with its definition or with the relation of a definition to its criterion. The task of selecting the correct criterion is, however, virtually impossible without proper attention to the broader conceptual setting in which the definition operates as the key feature. All of the issues I will discuss arise because (...) of this lack of concern with conceptual matters. Such problems as incorrectly diagnosing a patient as dead prior to the harvesting of his or her organs, defending the idea that death is reversible, and advocating a brainstem criterion of death, are all, I believe, errors that derive from this misplaced emphasis. (shrink)

In four experiments, we offer evidence that virtues are often judged as uniquely important for some business practices (e.g., hospital management and medical error investigation). Overall, actions done only from virtue (either by organizations or individuals) were judged to feel better, to be more praiseworthy, to be more morally right, and to be associated with more trustworthy leadership and greater personal life satisfaction compared to actions done only to produce the best consequences or to follow the correct moral rule. These (...) results accord with claims made by some virtue ethicists. The current data contribute to a small but growing body of literature emphasizing both empirical soundness and philosophical rigor in the scientific study of virtue. Results also offer some guidance concerning how businesses, employees, and executives are evaluated and perceived. Implications for theory and practice are discussed. (shrink)