Appointment as a director of a company board often represents the pinnacle of a management career. Worldwide, it has been noted that very few women are appointed to the boards of directors of companies. Blame for the low numbers of women of company boards can be partly attributed to the widely publicized "glass ceiling". However, the very low representation of women on company boards requires further examination. This article reviews the current state of women's representation on boards of directors and (...) summarizes the reasons as to why women are needed on company boards. Given that more women on boards are desirable, the article then describes how more women could be appointed to boards, and the actions that organizations and women could take to help increase the representation of women. Finally, the characteristics of those women that have succeeded in becoming members of company boards are described from an international perspective. Unfortunately, answers to the vexing question of whether these women have gained board directorships in their own right as extremely competent managers, or whether they are mere token female appointments in a traditional male dominated culture, remains elusive. (shrink)

RÉSUMÉ: Il semble injuste, à la réflexion, de blâmer les agents pour les mauvaises conséquences non voulues de leurs actions. Le présent article montre au contraire que la pratique de blâmer les agents d’une façon différente en raison de circonstances pourtant fortuites est bel et bien juste après tout. Si les agents agissent de manière impeccable, ils prennent une «assurance morale» contre la malchance et se mettent ainsi à l’abri de tout blâme relatif aux conséquences non voulues de leurs actions. (...) Mais s’ils agissent mal, ils renoncent à cette assurance morale et s’exposent ainsi à être blâmés pour ces mauvaises conséquences non voulues. Le fait que les agents qui agissent mal renoncent intentionnellement à leur assurance justifie que nous les blâmions pour les mauvaises conséquences non voulues de leurs actions. (shrink)

An invitation to readers from every walk of life to rediscover the impractical splendors of a life of learning In an overloaded, superficial, technological world, in which almost everything and everybody is judged by its usefulness, where can we turn for escape, lasting pleasure, contemplation, or connection to others? While many forms of leisure meet these needs, Zena Hitz writes, few experiences are so fulfilling as the inner life, whether that of a bookworm, an amateur astronomer, a birdwatcher, or (...) someone who takes a deep interest in one of countless other subjects. Drawing on inspiring examples, from Socrates and Augustine to Malcolm X and Elena Ferrante, and from films to Hitz's own experiences as someone who walked away from elite university life in search of greater fulfillment, Lost in Thought is a passionate and timely reminder that a rich life is a life rich in thought. Today, when even the humanities are often defended only for their economic or political usefulness, Hitz says our intellectual lives are valuable not despite but because of their practical uselessness. And while anyone can have an intellectual life, she encourages academics in particular to get back in touch with the desire to learn for its own sake, and calls on universities to return to the person-to-person transmission of the habits of mind and heart that bring out the best in us. Reminding us of who we once were and who we might become, Lost in Thought is a moving account of why renewing our inner lives is fundamental to preserving our humanity. (shrink)

In [2] John Burgess describes predicative versions of Frege's logic and poses the problem of finding their exact arithmetical strength. I prove here that PV, the simplest such theory, is equivalent to Robinson's arithmetical theory Q.

Which concepts should we use to think and talk about the world and to do all of the other things that mental and linguistic representation facilitates? This is the guiding question of the field that we call ‘conceptual ethics’. Conceptual ethics is not often discussed as its own systematic branch of normative theory. A case can nevertheless be made that the field is already quite active, with contributions coming in from areas as diverse as fundamental metaphysics and social/political philosophy. In (...) this pair of papers, we try to unify the field, reflecting on its basic nature, structure, and methodology. (shrink)

Democratic deliberation places the burden of self‐governance on its citizens to provide mutual justifying reasons. This article concerns the limiting effect that group identity has on the efficacy of democratic deliberation for equality in education. Under conditions of a powerful majority, deliberation can be repressive and discriminatory. Issues of white flight and race‐based admissions serve to illustrate the bias of which deliberation is capable when it fails to substantively take group identity into account. As forms of Gilbert's plural subjects, identity (...) group members holding the group identity can experience agency as the freedom to believe together with members of their group. I argue that attending to how group members acquire group beliefs through trust is a reasonable accommodation of group identity in deliberation. (shrink)

Which concepts should we use to think and talk about the world, and to do all of the other things that mental and linguistic representation facilitates? This is the guiding question of the field that we call ‘conceptual ethics’. Conceptual ethics is not often discussed as its own systematic branch of normative theory. A case can nevertheless be made that the field is already quite active, with contributions coming in from areas as diverse as fundamental metaphysics and social/political philosophy. In (...) this pair of papers, we try to unify the field, reflecting on its basic nature, structure, and methodology. (shrink)

John Burgess in a 2004 paper combined plural logic and a new version of the idea of limitation of size to give an elegant motivation of the axioms of ZFC set theory. His proposal is meant to improve on earlier work by Paul Bernays in two ways. I argue that both attempted improvements fail. I am grateful to Philip Welch, two anonymous referees, and especially Ignacio Jané for written comments on earlier versions of this paper, which have led to (...) substantial improvements. Thanks also to the participants in a discussion group at the University of Bristol, where an earlier version was presented. (shrink)

Review of John Burgess' and Gideon Rosen's A Subject with no Object.

It is widely agreed that Aristotle holds that the best moral education involves habituation in the proper pleasures of virtuous action. But it is rarely acknowledged that Aristotle repeatedly emphasizes the social and political sources of good habits, and strongly suggests that the correct law‐ordained education in proper pleasures is very rare or non‐existent. A careful look at the Nicomachean Ethics along with parallel discussions in the Eudemian Ethics and Politics suggests that Aristotle divided public moral education or law‐ordained habituation (...) into two types. One type is a defective form practiced by the Spartans, producing civic courage and similar defective virtue‐ like states motivated by external incentives. By contrast Aristotle endorses the law‐ordained musical education described in Politics 8. The chapter argues that Aristotle considers the well‐habituated state of proper pleasures in virtue to be best cultivated by this kind of musical education; and that this explains both his emphasis on good laws and on their scarcity. (shrink)

In Nicomachean Ethics 10.7, Aristotle says that the contemplative wise person living the happiest and most self-sufficient life will need other people less than a person living a life of practical virtue. This seems to be in tension with Aristotle's emphasis elsewhere on the political nature of human beings. I analyze in detail Aristotle's most elaborate defense of the need for friends in the happy life in Nicomachean Ethics 9.9 to see whether and how he resolves the need for friends (...) with the self-sufficiency of the happy life. The virtue-friendship described in the chapter does turn out to be more compatible with the self-contained unity of a happy life than other sorts of friendship, because collaboration in virtuous activities integrates the friend into one's activities. This is true even for contemplative friendship, where, as Aristotle suggests in the ornate final argument of 9.9, the friends collaboratively contemplate human nature and take pleasure in the goodness of human life. The unity achieved in this kind of friendship is an imitation of God's self-contemplative and self-contained unity. Nonetheless, I conclude, there is no evidence that Aristotle did not think that friendship was conditioned on human failings and so that friends would be less necessary for those leading the most excellent contemplative lives. (shrink)

In contemporary society, identities—culture; race; ethnicity; gender; and lesbian, gay, bisexual, and transgender —are at the heart of discourses of belonging and related collectivist constructions of meaning. As distinct social markers, they clearly demarcate the society in ways that also have political implications. The discussion of identity politics below takes a nominally genealogical approach beginning with modern philosophy’s individualistic account. It then decenters this narrative and posits that the field has been ill-equipped to grapple with the power of identity as (...) a source of belonging, a moral critique, and as a site of political conflict. Education is the primary context of the discussion, which is framed as the quest for cultural and social pluralism. Although the term identity has roots in Western philosophy and more recently in psychology, identity politics is a highly contested expression in education, political theory and in philosophy. Bernstein :47–74, 2005) traced its origin as a formal term to 1979, where social science scholars coined the phrase as a label for a type of activism. Its initial iteration pertained to persons with disabilities who challenged prevailing societal perceptions. Over the next two decades, scholars broadened its use to mean a category of collective action that included violent ethnic conflict and activist nationalism. Below, the discussion of the term begins with its semantic and philosophical provenance and explores its discursive engagement with the ever modifying meanings of gender, race or ethnicity and sexual orientation in society and education. It is association with these categories as forms of joint group membership that ipso facto gives rise to political activism to advance beliefs, bring about change or to promote a given worldview. (shrink)

We present an extension of the lambda calculus with the letrec construct. In contrast to current theories, which impose restrictions on where the rewriting can take place, our theory is very liberal, e.g., it allows rewriting under lambda abstractions and on cycles. As shown previously, the reduction theory is non-confluent. Thus, we searched for and found a new property that resembles confluence and that is equivalent to uniqueness of infinite normal forms: skew confluence. This notion is based on the intuition (...) that some terms are better than others and that terms reduce to better terms. It states that if a term reduces to two other terms, the second of those terms can always be reduced to a term that is better than the first. Using skew confluence we define the infinite normal form of a term and show that the infinite normal form defines a congruence on the set of terms. We relate the lambda calculus plus letrec to the plain lambda calculus and to one of the infinitary lambda calculi. We also present a variant of our calculus, which follows the tradition of the explicit substitution calculi. (shrink)

The essay concerns the negative end of the political argument of the Republic, that injustice—the rule of unreason—is both widespread and undesirable, and that whatever shadows of virtue or order might be found in its midst are corrupt and unstable. This claim is explained in detail in Republic 8 and 9. These passages explain recognizable faults in recognizable regimes in terms of the failure of the rule of reason and the corresponding success of the rule of non-rational forms of motivation. (...) I will first look at degenerate regimes as they appear in a less systematic way in the Ship of State passage in Republic 6 and in the discussion with Thrasymachus in book 1. I then give a general overview of the system of degenerate regimes in book 8 to examine what exactly goes wrong with them and why, and explain how the process of degeneration ought be understood as the progressive decay of the rule of reason. Finally, I argue that a close look at this decay reveals something surprising: that degenerate regimes and characters feature weak versions of virtue, shadow-virtues that are based on appearances and held in place by force. Thus in the end the whole process of degeneration ought be understood as an extended conflict between reason and appetite. (shrink)

In the final chapter of their book A Subject With No Object, John Burgess and Gideon Rosen raise the question of the value of the nominalistic reconstructions of mathematics that have been put forward in recent years, asking specifically what this body of work is good for. The authors conclude that these reconstructions are all inferior to current versions of mathematics (or science) and make no advances in science. This paper investigates the reasoning that led to such a negative (...) appraisal, and it produces a rebuttal to this reasoning. I am grateful to the following mathematicians who were kind enough to provide me with their thoughts about nonstandard analysis: Martin Davis, Laura Chihara, Ted Chihara, Steve Galovich, Bonnie Gold, and especially Roger Simons, whose comments about an earlier version of this paper were very helpful. Thanks also go to two referees for their useful suggestions and criticisms of an earlier version of this paper. (shrink)

This paper is in part an introduction to Plato's late political philosophy. In the central sections, I look at Plato's Laws and Statesman and ask the question of how law can produce authentic virtue. If law is merely coercive or habituating, but virtue requires rational understanding, there will be a gap between what law can do and what it is supposed to do. I examine the solution to this difficulty proposed in the Laws, the persuasive preludes attached to the laws, (...) and suggest that they produce an inferior, passive mode of rational order that falls short of full virtue. (shrink)

Computability and Logic has become a classic because of its accessibility to students without a mathematical background and because it covers not simply the staple topics of an intermediate logic course, such as Godel's incompleteness theorems, but also a large number of optional topics, from Turing's theory of computability to Ramsey's theorem. This 2007 fifth edition has been thoroughly revised by John Burgess. Including a selection of exercises, adjusted for this edition, at the end of each chapter, it offers (...) a simpler treatment of the representability of recursive functions, a traditional stumbling block for students on the way to the Godel incompleteness theorems. This updated edition is also accompanied by a website as well as an instructor's manual. (shrink)

John P. Burgess is the John N. Woodhull Professor of Philosophy at Princeton University. He obtained his Ph.D. from the Logic and Methodology program at the University of California at Berkeley under the supervision of Jack H. Silver with a thesis on descriptive set theory. He is a very distinguished and influential philosopher of mathematics. He has written several books: A Subject with No Object (with G. Rosen, Oxford University Press, 1997), Computability and Logic (with G. Boolos and R. (...) Jeffrey, 5th ed., Cambridge University Press, 2007), Fixing Frege (Princeton University Press, 2005), Mathematics, Models, and Modality (Cambridge University Press, 2007), Philosophical Logic (Princeton University Press, 2009), Truth (with A. G. Burgess, Princeton University Press, 2011), Saul Kripke: Puzzles & Mysteries (Polity Press, 2012), Rigor & Structure (Oxford University Press, 2015), and Set Theory (Cambridge Elements, Forthcoming). In this interview, Professor Burgess talks about how his interests in mathematics and philosophy developed and relate to each other. He then answers questions about specific themes of his philosophical work, with a focus on issues pertaining to philosophy of mathematics. (shrink)

This paper addresses John Burgess's answer to the ‘Benacerraf Problem’: How could we come justifiably to believe anything implying that there are numbers, given that it does not make sense to ascribe location or causal powers to numbers? Burgess responds that we should look at how mathematicians come to accept: There are prime numbers greater than 1010That, according to Burgess, is how one can come justifiably to believe something implying that there are numbers. This paper investigates what (...) lies behind Burgess's answer and ends up as a rebuttal to Burgess's reasoning. (shrink)

The question, "Which modal logic is the right one for logical necessity?," divides into two questions, one about model-theoretic validity, the other about proof-theoretic demonstrability. The arguments of Halldén and others that the right validity argument is S5, and the right demonstrability logic includes S4, are reviewed, and certain common objections are argued to be fallacious. A new argument, based on work of Supecki and Bryll, is presented for the claim that the right demonstrability logic must be contained in S5, (...) and a more speculative argument for the claim that it does not include S4.2 is also presented. (shrink)

This paper addresses John Burgess's answer to the ‘Benacerraf Problem’: How could we come justifiably to believe anything implying that there are numbers, given that it does not make sense to ascribe location or causal powers to numbers? Burgess responds that we should look at how mathematicians come to accept: There are prime numbers greater than 1010 That, according to Burgess, is how one can come justifiably to believe something implying that there are numbers. This paper investigates (...) what lies behind Burgess's answer and ends up as a rebuttal to Burgess's reasoning. (shrink)

This paper considers the implications of precautionary restrictions against technologies, in the context of the potential for creating and sustaining rumours. It focuses on the restriction against mobile phone use at petrol stations, based on the rumour that a spark might cause an explosion. Rumours have been substantiated by precautionary usage warnings from mobile phone manufacturers, petrol station usage restrictions, and a general lack of technical understanding. Petrol station employees have themselves spread the rumour about alleged incidents, filling the information (...) gap about the basis for the restriction. (shrink)