Girolamo Saccheri (1667--1733) was an Italian Jesuit priest, scholastic philosopher, and mathematician. He earned a permanent place in the history of mathematics by discovering and rigorously deducing an elaborate chain of consequences of an axiom-set for what is now known as hyperbolic (or Lobachevskian) plane geometry. Reviewer's remarks: (1) On two pages of this book Saccheri refers to his previous and equally original book Logica demonstrativa (Turin, 1697) to which 14 of the 16 pages of the editor's "Introduction" are devoted. (...) At the time of the first edition, 1920, the editor was apparently not acquainted with the secondary literature on Logica demonstrativa which continued to grow in the period preceding the second edition \ref[see D. J. Struik, in Dictionary of scientific biography, Vol. 12, 55--57, Scribner's, New York, 1975]. Of special interest in this connection is a series of three articles by A. F. Emch [Scripta Math. 3 (1935), 51--60; Zbl 10, 386; ibid. 3 (1935), 143--152; Zbl 11, 193; ibid. 3 (1935), 221--333; Zbl 12, 98]. (2) It seems curious that modern writers believe that demonstration of the "nondeducibility" of the parallel postulate vindicates Euclid whereas at first Saccheri seems to have thought that demonstration of its "deducibility" is what would vindicate Euclid. Saccheri is perfectly clear in his commitment to the ancient (and now discredited) view that it is wrong to take as an "axiom" a proposition which is not a "primal verity", which is not "known through itself". So it would seem that Saccheri should think that he was convicting Euclid of error by deducing the parallel postulate. The resolution of this confusion is that Saccheri thought that he had proved, not merely that the parallel postulate was true, but that it was a "primal verity" and, thus, that Euclid was correct in taking it as an "axiom". As implausible as this claim about Saccheri may seem, the passage on p. 237, lines 3--15, seems to admit of no other interpretation. Indeed, Emch takes it this way. (3) As has been noted by many others, Saccheri was fascinated, if not obsessed, by what may be called "reflexive indirect deductions", indirect deductions which show that a conclusion follows from given premises by a chain of reasoning beginning with the given premises augmented by the denial of the desired conclusion and ending with the conclusion itself. It is obvious, of course, that this is simply a species of ordinary indirect deduction; a conclusion follows from given premises if a contradiction is deducible from those given premises augmented by the denial of the conclusion---and it is immaterial whether the contradiction involves one of the premises, the denial of the conclusion, or even, as often happens, intermediate propositions distinct from the given premises and the denial of the conclusion. Saccheri seemed to think that a proposition proved in this way was deduced from its own denial and, thus, that its denial was self-contradictory (p. 207). Inference from this mistake to the idea that propositions proved in this way are "primal verities" would involve yet another confusion. The reviewer gratefully acknowledges extensive communication with his former doctoral students J. Gasser and M. Scanlan. ADDED 14 March 14, 2015: (1) Wikipedia reports that many of Saccheri's ideas have a precedent in the 11th Century Persian polymath Omar Khayyám's Discussion of Difficulties in Euclid, a fact ignored in most Western sources until recently. It is unclear whether Saccheri had access to this work in translation, or developed his ideas independently. (2) This book is another exemplification of the huge difference between indirect deduction and indirect reduction. Indirect deduction requires making an assumption that is inconsistent with the premises previously adopted. This means that the reasoner must perform a certain mental act of assuming a certain proposition. It case the premises are all known truths, indirect deduction—which would then be indirect proof—requires the reasoner to assume a falsehood. This fact has been noted by several prominent mathematicians including Hardy, Hilbert, and Tarski. Indirect reduction requires no new assumption. Indirect reduction is simply a transformation of an argument in one form into another argument in a different form. In an indirect reduction one proposition in the old premise set is replaced by the contradictory opposite of the old conclusion and the new conclusion becomes the contradictory opposite of the replaced premise. Roughly and schematically, P,Q/R becomes P,~R/~Q or ~R, Q/~P. Saccheri’s work involved indirect deduction not indirect reduction. (3) The distinction between indirect deduction and indirect reduction has largely slipped through the cracks, the cracks between medieval-oriented logic and modern-oriented logic. The medievalists have a heavy investment in reduction and, though they have heard of deduction, they think that deduction is a form of reduction, or vice versa, or in some cases they think that the word ‘deduction’ is the modern way of referring to reduction. The modernists have no interest in reduction, i.e. in the process of transforming one argument into another having exactly the same number of premises. Modern logicians, like Aristotle, are concerned with deducing a single proposition from a set of propositions. Some focus on deducing a single proposition from the null set—something difficult to relate to reduction. (shrink)

Currently in the United Kingdom, anyone donating gametes has the status of an open-identity donor. This means that, at the age of 18, persons conceived with gametes donated since April 1, 2005 have a right to access certain pieces of identifying information about their donor. However, in early 2015, the UK Parliament approved new regulations that make mitochondrial donors anonymous. Both mitochondrial donation and gamete donation are similar in the basic sense that they involve the contribution of gamete materials to (...) create future persons. Given this similarity, this paper presumes that both types of donor should be treated the same and made open-identity under the law, unless there is a convincing argument for treating them differently. I argue that none of the existing arguments that have been made so far in favor of mitochondrial donor anonymity are convincing and mitochondrial donors should therefore be treated as open-identity donors under UK law. (shrink)

Introduction Few areas of social inquiry are more exciting and important, and yet at the same time more marked by controversy and dispute, than the area ...

The essays in this book - all of them published here for the first time - provide a long-overdue critical discussion of Jürgen Habermas's cascade of ideas. These are topped off by a freshet of original Habermas: in the final essay, he replies to the criticism developed in the preceding contributions and to other recent assessments of his work, provides an important clarification of his earlier views, and reveals the direction of his current thought.Each essay probes a particular theme in (...) Habermas's work, and each presents both an exposition and a critique. Among the subjects covered are Habermas's theory of knowledge-constitutive interests, his account of language and truth, his "overcoming" of hermeneutics, the concept of universal pragmatics, the orientation of his thought relative to the Marxist tradition, and his project of analyzing the crisis tendencies of capitalism within the context of evolutionary theory.The contributors are philosophers and social theorists of international standing, most of them affiliated with German, English, and American universities. They are Agnes Heller, Rudiger Bubner, Thomas McCarthy, Henning Ottmann, Mary Hesse, Steven Lukes, Anthony Giddens, Michael Schmid, Andrew Arato, and the editors. The editors have also contributed a substantial introduction outlining the central contours of Habermas's work and summarizing the main arguments of the essays.John B. Thompson is a Fellow of Jesus College, Cambridge, and David Held is Lecturer in Politics, University of York. (shrink)

This paper discusses how Mark Blaug reversed his thinking about the historiography of economics, abandoning 'rational' for 'historical' reconstruction, and using an economics of scientific knowledge argument against Paul Samuelson and others that rational reconstructions of past ideas and theories in the "marketplace of ideas" were Pareto inefficient. Blaug's positive argument for historical reconstruction was built on the concept of "lost content" and his rejection of the end-state view of competition in favor of a process view. He used these ideas (...) to emphasize path dependency in the development of economic thinking, thereby advancing an evolutionary view of economics that has connections to a Lakatosian understanding of economic methodology. The paper argues that Blaug was essentially successful in criticizing the standard rational reconstructionist view of the history of economic thought in economics, and that this is borne out by the nature of the change in recent economics. (shrink)

Extending the dialogue on corporate social performance as descriptive stakeholder management, we examine differences in CSP activity between family and nonfamily firms. We argue that CSP activity can be explained by the firm’s identity orientation toward stakeholders. Specifically, individualistic, relational, or collectivistic identity orientations can describe a firm’s level of CSP activity toward certain stakeholders. Family firms, we suggest, adopt a more relational orientation toward their stakeholders than nonfamily firms, and thus engage in higher levels of CSP. Further, we invoke (...) collectivistic identity orientation to argue that the higher the level of family or founder involvement within a family firm, the greater the level of CSP toward specific stakeholders. Using social performance rating data from 1991 to 2005, we find that family and nonfamily firms demonstrate notable differences in terms of social initiatives and social concerns. We also find that the level of family and founder involvement is related to the type and frequency of a family firm’s social initiatives and social concerns. (shrink)

As a group, the essays in this volume pose that question as a first attempt to write the archaeology of the nature and history of description in the digital age.

This book offers a clear and highly readable introduction to the ethical and social-political philosophy of John Stuart Mill. Dale E. Miller argues for a "utopian" reading of Mill's utilitarianism. He analyses Mill's views on happiness and goes on to show the practical, social and political implications that can be drawn from his utilitarianism, especially in relation to the construction of morality, individual freedom, democratic reform, and economic organization. By highlighting the utopian thinking which lies at the heart of (...) Mill's theories, Miller shows that rather than allowing for well-being for the few, Mill believed that a society must do everything in its power to see to it that each individual can enjoy a genuinely happy life if the happiness of its members is to be maximized. Miller provides a cogent and careful account of the main arguments offered by Mill, considers the critical responses to his work, and assesses its legacy for contemporary philosophy. Lucidly and persuasively written, this book will be a valuable resource for students and scholars seeking to understand the continued importance of Mill's thinking. (shrink)

Two experiments examined the role of conditional reasoning in the logical deduction game, Mastermind . An analysis suggested that Modus Tollens (MT) reasoning could be used to determine the code structure, for example, in determining if any of the colours in the code are repeated. Consistent with this analysis, Experiment 1 showed that only MT errors are correlated with the number of hypotheses advanced in Mastermind . A subsequent analysis showed that conditional reasoning such as Affirming the Consequent (AC) and (...) Denying the Antecedent (DA) could lead to particularly damaging inferences only when the code was four different colours. When that was known before play, Experiment 2 showed that AC errors, but not MT errors, were significantly correlated with Mastermind hypotheses advanced. A stepwise multiple regression analysis supported these findings: When the solvers knew they were playing a four-colour code, there was a slight diminution in the variance explained by MT errors, and a significant increase in the variance explained by AC errors. An analysis of the number of different possible codes that could be consistent with hypotheses actually played showed that the number of such codes is far fewer when the code consists of four different colours than when its structure is not known. This analysis suggests that reasoners are therefore unlikely to discover many alternative causes for the feedback given when the code consists of four different colours, and it is under these conditions that humans are most likely to engage in AC reasoning. (shrink)

First published in 1977 this volume is the only account published in English in the 20th century to be exclusively devoted to an interpretation of Aristotle's political thought. It places Aristotle in his background of the Greek political experience.

Women heard another person state attitudes that were either in high agreement or high disagreement with their own attitudes. The potency of an approach-avoidance dependent variable was compared with traditional dependent variables for this situation, ratings of inter-personal attraction. Eighty-five percent of those hearing high agreement volunteered to return to the laboratory to continue participation in the study at a later time. Nobody who heard high disagreement volunteered to return. This difference between the two treatment conditions was considerably greater than (...) the difference for ratings of attractiveness. It was concluded that the increased potency of the approach-avoidance measure came from its importance to the subjects and that approach-avoidance would be a good measure to use in comparing different predictions from the several theoretical positions that attempt to account for the effects of agreement and disagreement. (shrink)

This book examines the different conceptions of the individual that have emerged in recent new approaches in economics, including behavioral economics, experimental economics, social preferences approaches, game theory, neuroeconomics, evolutionary and complexity economics, and the capability approach. These conceptions are classified according to whether they seek to revise the traditional atomist individual conception, put new emphasis on interaction and relations between individuals, account for individuals as evolving and self-organizing, and explain individuals in terms of capabilities. The method of analysis uses (...) two identity criteria for distinguishing and re-identifying individuals to determine whether these different individual conceptions successfully identify individuals. Successful individual conceptions account for sub-personal and supra-personal bounds on single individual explanations. The former concerns the fragmentation of individuals into multiple selves; the latter concerns the dissolution of individuals into the social. The book develops an understanding of bounded individuality, seen as central to the defense of human rights. (shrink)

Though rousseau rejects traditional versions he believes in a natural law which man can grasp independently of any knowledge of god. It is natural in the sense that in a given set of circumstances man by a combination of simple reason and conscience can know what is right and wrong, Just and unjust. However, Its obligatory character is conditional. In the one case it depends on the ascertainable fact of human enforcement, And in the other, On a strong inner faith (...) in the existence of god. If both of these faiths are in vain, The whole question of natural law becomes at best academic, And the ideal of moral freedom, Quixotic. (shrink)

Among industrialized nations the United States is relatively unique in relying on a mix of public and private financing and delivery of healthcare: federal and federal-state programs, such as Medicare and Medicaid; employment-based health insurance ; and state-subsidized insurance pools for high-risk individuals. In recent years, however, there have been efforts to apply the principles of private employment-based health insurance to the other forms of healthcare, and there is speculation that rising healthcare costs can only be addressed by further extending (...) capitated payment plans. This suggests that U.S. healthcare may increasingly be organized according to market principles. For some, this represents a historic departure from an emphasis on public responsibility for healthcare and a sacrifice of the value principles embodied in health relationships between patient and provider. But defenders of HMOs and a larger role for markets argue that managed care allows for a more rational allocation of scarce healthcare resources by minimizing inefficient low-benefit–high-cost care. More individuals receive essential care if inessential care is eliminated. HMOs are also said to encourage non-HMOs to provide lower priced healthcare. (shrink)

Claus Offe is one of the leading social scientists working in Germany today, and his work, particularly on the welfare state, has been enormously influential both in Europe and the United States. Contradictions of the Welfare State is the first collection of Offe's essays to appear in a single volume in English, and it contains a selection of his most important recent work on the breakdown of the post-war settlement.The political writings in this book are primarily concerned with the origins (...) of the present difficulties - what Offe calls the 'crises of crisis management' - of welfare capitalist states. He indicates why in the present period, these states are no longer capable of fully managing the socio-political problems and conflicts generated by late capitalist societies and discusses the viability of New Right, corporatist, and democratic socialist proposals for restructuring the welfare state.The book also offers fresh and penetrating insights into a range of other subjects, including social movements, political parties, law, social policy, and labor markets. There is an interview with Claus Offe, prepared especially for this volume, and a substantial introductory chapter by John Keane which links the essays and explores Offe's central themes.Claus Offe has researched and lectured widely throughout Europe and North America and is Professor in the Faculty of Sociology at the University of Bielefeld. John Keane is an editor of Telos and Senior Lecturer in Political Theory and Sociology at the Polytechnic of Central London. This book is included in the series, Studies in Contemporary German Social Thought, edited by Thomas McCarthy. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Masao AbeJohn B. Cobb Jr.Masao Abe spent a year at the Blaisdell Institute in Claremont, 1965–1966. I was on sabbatical in Germany that year. On return I learned from many people that I had missed a great opportunity for an authentic encounter with a living Buddhist thinker who understood Christianity very well. Fortunately, he visited Claremont again, although more briefly, and this time I was able to take advantage (...) of his visit.I was, and am, convinced that Whiteheadians have much to gain from the encounter with Buddhists. At one level we can grasp and assimilate the idea of dependent origination or pratitya samutpada quite easily. For Whitehead too the ultimate reality consists in the many becoming one. For Whitehead human experience is an example of this reality and, indeed, that example is the one he most fully analyzed.On the other hand, we Whiteheadians incline to objectify the whole process. More often than with Whitehead himself, we are describing a process that is going on objectively out there. Abe taught me the difference. He liked to distinguish the perspective of the swimmer battling against the current in dangerous waters and observers on the bank. To understand that all unit events are instances of dependent origination is one thing; to experience oneself in that way is quite another. And what is especially important is to recognize that experiencing oneself is not objectifying one’s past or imagining oneself in the eyes of an observer. It is embodying the absolutely immediate, ever-changing reality that is experience now.Whitehead never thought of his ontological analysis as having direct religious importance. For him, as part of the understanding that all things are perpetually perishing, it constituted the ultimate threat to the meaningfulness of life. The religious dimension came as a response to this threat.For Abe, of course, the full existential realization of what we are, is in itself salvific in the sense of healing. It puts an end to guilt, defensiveness, and attachment, and it makes us wholly acceptant of whatever is. It leads to, or perhaps is, enlightenment, expressing itself in wisdom and compassion. Given the history of Buddhism, one must accept the profound truth in this affirmation, although, given the history of Buddhism, one must also recognize that matters are never as simple as this formulation sounds.I have spoken personally of an example of what and how I learned from Abe. This is a testimonial that can be matched by scores, perhaps hundreds, of others. Certainly [End Page 119] in our ongoing Buddhist-Christian dialogue group, Abe was the foremost teacher. My goal in helping to organize this group was to give my fellow Christian theologians the chance to learn from him and other Buddhists. I am proud of the extent to which, especially because of Abe’s gifts as a teacher, my purpose was fulfilled.Appreciating the truth of Buddhism, and agreeing with Abe that Christian theology through the centuries has been distorted by clinging to substantialist modes of thought, I was particularly eager to engage him in a dialogue about the relation of Buddhism and Christian process theology, in particular a Christian process theology that recognized and appreciated the spiritual value of Buddhist enlightenment. Since Abe felt that Buddhists had something to learn from Christianity about social ethics, the suggestions of Christian theology, including its process form, for modifications or developments of Buddhism were not wholly lost on him. He supervised two dissertations by Buddhists on this topic, of which I was the official advisor, one by a Zen Buddhist (Chris Ives) and the other by a Pure Land Buddhist (John Ishihara, now Yokota). He criticized fellow Buddhists in our dialogue group for not being as open to learning from their Christian dialogue partners as these partners were open to Buddhist insights. In short he supported real dialogue, always ready to share his wisdom, and encouraging openness to further development of Buddhism.None of us is perfect, or, at least, none of us fulfills what someone else would see as perfection. In my judgment Abe was unnecessarily wedded to features of his Buddhist tradition that inhibited learning from Christianity, particularly in its process... (shrink)