Wales uses languages with both regular (Welsh) and irregular (English) counting systems. Three groups of 6- and 8-year-old Welsh children with varying degrees of exposure to the Welsh language—those who spoke Welsh at both home and school; those who spoke Welsh only at home; and those who spoke only English—were given standardized tests of arithmetic and a test of understanding representations of two-digit numbers. Groups did not differ on the arithmetic tests, but both groups of Welsh speakers read and compared (...) 2-digit numbers more accurately than monolingual English children. A similar study was carried out with Tamil/English bilingual children in England. The Tamil counting system is more transparent than English but less so than Welsh or Chinese. Tamil-speaking children performed better than monolingual English-speaking children on one of the standardized arithmetic tests but did not differ in their comparison of two-digit numbers. Reasons for the findings are discussed. (shrink)

Knowing Persons is an original study of Plato's account of personhood. For Plato, embodied persons are images of a disembodied ideal. The ideal person is a knower. Hence, the lives of embodied persons need to be understood according to Plato's metaphysics of imagery. For Gerson, Plato's account of embodied personhood is not accurately conflated with Cartesian dualism. Plato's dualism is more appropriately seen in the contrast between the ideal disembodied person and the embodied one than in the contrast between mind (...) or soul and body. (shrink)

This chapter examines the pioneering work of Gottfried Wilhelm Leibniz (1646-1716) on various number systems, in particular binary, which he independently invented in the mid-to-late 1670s, and hexadecimal, which he invented in 1679. The chapter begins with the oft-debated question of who may have influenced Leibniz’s invention of binary, though as none of the proposed candidates is plausible I suggest a different hypothesis, that Leibniz initially developed binary notation as a tool to assist his investigations in mathematical problems that were (...) exercising him at the time, namely those concerning the divisibility of composite numbers, primality, and perfect numbers. The chapter then explores Leibniz’s development of binary, his little-known work on binary fractions and expansions, his use of binary as a symbol for creation in his philosophical-theology, and his response to the suggestion that there was a correlation between binary numeration and the hexagrams of the ancient Chinese divinatory text, the Yijing. The chapter then focuses on Leibniz’s work on other number systems, in particular his invention and exploration of hexadecimal as well as his work on duodecimal. The chapter concludes by revealing a hitherto unknown practical application of binary that Leibniz devised in the last year of his life. (shrink)

Essays omhandlende den etiske dimension i det militære liv.

1. Introduction; Elisabeth A. Lloyd and Eric Winsberg.- Section 1: Confirmation and Evidence.- 2. The Scientific Consensus on Climate Change: How Do We Know We’re Not Wrong?; Naomi Oreskes.- 3. Satellite Data and Climate Models Redux.- 3a. Introduction to Chapter 3: Satellite Data and Climate Models; Elisabeth A. Lloyd.- Ch. 3b Fact Sheet to "Consistency of Modelled and Observed Temperature Trends in the Tropical Troposphere"; Benjamin D. Santer et al..- Ch. 3c Reprint of "Consistency of Modelled and Observed (...) Temperature Trends in the Tropical Troposphere"; Benjamin D. Santer et al..- 4. The Role of ’Complex’ Empiricism in the Debates about Satellite Data and Climate Models; Elisabeth A. Lloyd.- 5. Reconciling Climate Model/Data Discrepancies: The Case of the Trees That Didn’t Bark; Michael Mann.- 6. Downscaling of Climate Information; Linda O. Mearns et al..- Section 2: Uncertainties and Robustness.- 7. The Significance of Robust Model Projections; Wendy S. Parker.- 8. Building Trust, Removing Doubt? Robustness Analysis and Climate Modeling; Jay Odenbaugh.- Section 3: Climate Models as Guides to Policy.- 9. Climate Model Confirmation: From Philosophy to Predicting Climate in the Real World; Reto Knutti.- 10. Uncertainty in Climate Science and Climate Policy; Jonathan Rougier and Michel Crucifix.- 11. Communicating Uncertainty to Policy Makers: The Ineliminable Role of Values; Eric Winsberg.- 12. Modeling Climate Policies: A Critical Look at Integrated Assessment Models; Mathias Frisch.- 13. Modelling Mitigation and Adaptation Policies to Predict their Effectiveness: The Limits of Randomized Controlled Trials; Alexandre Marcellesi and Nancy D. Cartwright. (shrink)

The point of the present paper is to draw attention to some interesting similarities, as well as differences, between the approaches to the logic of noncontingency of Evgeni Zolin and of Claudio Pizzi. Though neither of them refers to the work of the other, each is concerned with the definability of a (normally behaving, though not in general truth-implying) notion of necessity in terms of noncontingency, standard boolean connectives and additional but non-modal expressive resources. The notion of definability involved is (...) different in the two cases (‘external’ for Zolin, ‘internal’ for Pizzi), as are the additional resources: infinitary conjunction in the case of Zolin, and for Pizzi, first, propositional quantification, and then, later, most ingeniously, the use of a propositional constant. As well as surveying and comparing of the work of these authors, the discussion includes some some novelties, such as the confirmation of a conjecture of Zolin’s (Theorem 2.7). (shrink)

In this book, S. A. Lloyd offers a radically new interpretation of Hobbes's laws of nature, revealing them to be not egoistic precepts of personal prudence but rather moral instructions for obtaining the common good.

The contributors to this volume cover a wide range of philosophers, from Simplicius to John Wyclif, and philosophical problems, including: the harmony of ...

_ Source: _Volume 10, Issue 1, pp 65 - 94 In his highly influential 1928 article ‘The _Parmenides_ of Plato and the Origin of the Neoplatonic “One”,’ E.R. Dodds argued, _inter alia_, that among the so-called Neoplatonists Plotinus was the first to interpret Plato’s _Parmenides_ in terms of the distinctive three ‘hypostases’, One, Intellect, and Soul. Dodds argued that this interpretation was embraced and extensively developed by Proclus, among others. In this paper, I argue that although Plotinus took _Parmenides_ to (...) contain a sort of outline of the true metaphysical principles, he understood the One of the first hypothesis of the second part of the dialogue in a way importantly different from the way that Proclus understood it. The characterization of this One, especially its identity with the Idea of the Good of _Republic_, has significant ramification for Plotinus’ philosophy that set it apart from Proclus’ philosophy in ways hitherto infrequently noted. The widely accepted reasons for rejecting Proclus’ interpretation do not apply to the interpretation of Plotinus. The two different interpretations help explain why Proclus’ notorious proliferation of entities in the intelligible realm is not found in Plotinus. (shrink)

This paper examines the fortunes of non-European philosophies in histories of philosophy written by European and American philosophers from the 17th century to the present day. It charts the shift from inclusive histories of philosophy, which included non-European philosophies, to exclusive histories of philosophy, which excluded and/or marginalized non-European philosophies, at the end of the 18th century. This shift was motivated by racial Eurocentrism, which cast a long shadow over histories of philosophy written during the 19th and 20th centuries. The (...) paper also considers recent attempts to produce a more inclusive history of philosophy. By examining the history of the inclusion and exclusion of non-European philosophies in histories of philosophy, this paper seeks to challenge the assumption that philosophy began and has been practised exclusively by European or western thinkers. (shrink)

THE PRE-SOCRATIC ORIGINS OF NATURAL THEOLOGY § INTRODUCTION St Augustine informs us that pagan philosophers divided theology into three parts: () civic ...

Written for students coming to Spinoza for the first time, Spinoza and the Ethics is the ideal guide to this rich and illuminating work. This GuideBook provides an overview of critical interpretations, relating the Ethics to its intellectual context, considers its historical reception; and highlights why the work continues to be relevant today. In addition, the most intriguing final sections of the Ethics , usually ignored in introductory commentaries, are given special attention and illuminated as the climax of the work.

In 1682, Leibniz published an essay containing his solution to the classic problem of squaring the circle: the alternating converg-ing series that now bears his name. Yet his attempts to disseminate his quadrature results began seven years earlier and included four distinct approaches: the conventional (journal article), the grand (treatise), the impostrous (pseudepigraphia), and the extravagant (medals). This paper examines Leibniz’s various attempts to disseminate his series formula. By examining oft-ignored writings, as well as unpublished manuscripts, this paper answers the (...) question of how one of the greatest mathematicians sought to introduce his first great geometrical discovery to the world. (shrink)

Genevieve Lloyd presents a new study of the place of Enlightenment thought in intellectual history and of its continued relevance. She offers original readings of a range of key texts, which highlight the ways in which Enlightenment thinkers enacted in their writing--and reflected on--the interplay of intellect, imagination, and emotion.

In this chapter, we explore the issue of assisted dying for individuals with dementia at the nexus of ethics and law. We set out the basic medical realities of dementia and the available data about the desire for the option of assisted dying in the face of dementia. We then describe law and practice with respect to voluntary euthanasia and assisted suicide in jurisdictions that permit at least some assisted dying. We conclude that, because of the peculiar ways in which (...) some of the features of dementia interact with specific legislative provisions, less access to assisted dying for persons with dementia can be realized through the legislation than might have been intended or expected. We then describe draft assisted dying legislation that is before the federal Parliament of Canada. We conclude that, because of the peculiar ways in which some of the features of dementia interact with specific legislative provisions, more access to assisted dying for persons with dementia would be realized, if the legislation was passed as drafted, than might be intended or expected. This exercise reveals that very careful attention needs to be paid to the features of dementia if drafting assisted dying legislation in order to actually achieve the desired law reform effect (whatever that might be). The interplay of common ethical rationales for permitting assisted dying (e.g., autonomy and alleviation of suffering) with common features of dementia (e.g., loss of competence before the terminal phase of the illness, loss of the capacity to communicate before the loss of the capacity to suffer) raises challenges for translating one’s ethical position on assisted dying for individuals with dementia into law. NB: This chapter is current up to 2015. (shrink)

The transmission of ideas in ‘early-modern’ Europe has attracted wide interest in recent decades. In _The Reception of Bodin_ seventeen scholars investigate the jurist-philosopher Jean Bodin’s significance in processes that cross-fertilised European intellectual life from the Renaissance to the Enlightenment.

The feminist critique of reason has formed a large part of the dramatic expansion in the literature of feminist philosophy since the early 1980s. The critique has been controversial. It has often been seen – both by its practitioners and by its outraged opponents – as a critique of prevailing ideals and practices of philosophy. Some have seen it as the legitimate expression of the concerns of women alienated from, and marginalized within, the prevailing structures of professional philosophy. Others have (...) seen in it nothing but a perversely reasoned commitment to irrationalism. Here the close connections between ideals of reason and the self‐definition of philosophy can make it difficult to get the issues clear. (shrink)

I describe an ethic for business administration based on the social tradition of the Catholic Church. I find that much current thinking about business falters for its conceit of truth. Abstractions such as the shareholder-value model contain truth - namely, that business is an economic enterprise to manage for the wealth of its owners. But, as in all abstractions, this truth comes at the expense of falsehood -namely, that persons are assets to deploy on behalf of owners. This last is (...) "wrong" in both senses of the word - it is factually wrong in that persons are far more than business assets, they are supernatural beings, children of God; and it is morally wrong in that it is an injustice to treat them as the former when they are the latter. I draw upon the social tradition of the Catholic Church to recognize that the business of business is not business, but is instead the human person. Following Church teachings, I describe a person-centered ethic of business based upon eight social principles that both correct and enlarge the shareholder-centered ethic of much current business thinking. I discuss implications of this person-centered ethic for business administration. (shrink)

The present discussion takes up an issue raised in Section 5 of Ross Brady and Penelope Rush’s paper ‘Four Basic Logical Issues’ concerning the (claimed) triviality – in the sense of automatic availability – of soundness and completeness results for a logic in a metalanguage employing at least as much logical vocabulary as the object logic, where the metalogical behaviour of the common logical vocabulary is as in the object logic. We shall see – in Propositions 4.5–4.7 – that this (...) triviality claim faces difficulties in the face of Halldén incompleteness, for essentially the same reasons that Halldén thought this phenomenon raised seman- tic difficulties for the modal logics of C. I. Lewis exhibiting it. To counter any inclination to dismiss the phenomenon as providing at best a marginal range of counterexamples to the triviality claim, a Postscript assembles some reminders of the extent of – and the varied considerations favouring – Halldén incompleteness. (shrink)

At the end of 1671 and start of 1672, while in the service of the Archbishop and Elector of Mainz, Leibniz composed his Egypt Plan, which sought to persuade Louis XIV to invade Egypt. Scholars have generally supposed that Leibniz’s rationale for devising the plan was to divert Louis from his intended war with Holland. Little attention has been paid to the religious benefits that Leibniz identified in the plan, and those who do acknowledge them are often quick to downplay (...) them. This tendency to downplay or even dismiss the religious benefits Leibniz claimed of the Egypt Plan is undermotivated and stems from a very superficial reading of the documents that together comprise it. In this paper I argue that we should take seriously Leibniz’s claim that a French invasion of Egypt would bring religious benefits, and that he saw them as important and intrinsically desirable inasmuch as he came to believe that the execution of the plan would lead to the flowering of co-operation and brotherhood among Christians in a show of inter-denominational koinonia, that is, fellowship with other Christians in the participation of shared goals. (shrink)

It will be an essential resource for philosophers, mathematicians, computer scientists, linguists, or any scholar who finds connectives, and the conceptual issues surrounding them, to be a source of interest.This landmark work offers both ...

In this paper, I analyze a previously unpublished Leibniz text from the early 1700s. I give it the title “On Unities and Transmigration” since it contains an outline of his doctrine of unities and an examination of the doctrine of transmigration. The text is valuable because in it Leibniz considers three very specific versions of transmigration that he does not address elsewhere in his writings; these are (1) where a soul is released by the destruction of its body and is (...) then free to pass into another body, (2) where souls are exchanged without any destruction of bodies, and (3) where human souls (minds) are exchanged, again without any destruction of bodies. I show that when tackling these three versions of transmigration in “On Unities and Transmigration,” Leibniz develops a series of objections that are not found anywhere else in his published writings, despite his lifelong opposition to the doctrine of transmigration. This paper is completed by two appendices, the first of which presents the previously unpublished “On Unities and Transmigration” text in full, in the original French (with all deletions indicated), while the second presents its English translation. (shrink)

This book provides a welcome assessment of the wide-ranging impact of Michel Foucault's work upon a number of disciplines within the social sciences and humanities. It offers close textual readings of Foucault's work along with clear overviews of how his work has been taken up in subjects such as history, philosophy and international relations. It also offers original applications of his work to important topics within feminist theory, political theory, the sociology of race, and socio-legal studies.

S. A. Lloyd responds to critics of her book Morality in the Philosophy of Thomas Hobbes. She seeks to explain the centrality of Hobbes's reciprocity theorem to our understanding of his laws of nature.

A summary of the history of the universe through the lenses of science and the world's religions"--Publisher information.

This book challenges the common assumption that the predominant focus of the history of science should be the achievements of Western scientists since the so-called Scientific Revolution. The conceptual frameworks within which the members of earlier societies and of modern indigenous groups worked admittedly pose severe problems for our understanding. But rather than dismiss them on the grounds that they are incommensurable with our own and to that extent unintelligible, we should see them as offering opportunities for us to revise (...) many of our own preconceptions. We should accept that the realities to be accounted for are multi-dimensional and that all such accounts are to some extent value-laden. In the process insights from current anthropology and the study of ancient Greece and China especially are brought to bear to suggest how the remit of the history of science can be expanded to achieve a cross-cultural perspective on the problems. (shrink)