Economic models are founded in the idea of taking individuals' preferences as both known and given. This article explores the evolution of personal preferences, within a context of both entrepreneurial discovery and Objectivist philosophy. It begins by formalizing Ayn Rand's theory of Objectivism applied to human values, and continues by modeling preference changes similar to Schumpeter's theory of creative destruction—a process of self-discovery. Next the role of societal factors is examined in forming shared preference sets. Finally, the article (...) describes how the strength of human preferences is used to narrow choice sets in the presence of greater consumption options. (shrink)

According to deontic justice theory, individuals often feel principled moral obligations to uphold norms of justice. That is, standards of justice can be valued for their own sake, even apart from serving self-interested goals. While a growing body of evidence in business ethics supports the notion of deontic justice, skepticism remains. This hesitation results, at least in part, from the absence of a coherent framework for explaining how individuals produce and experience deontic justice. To address this need, we argue (...) that a compelling, yet still missing, step is to gain further understanding into the underlying neural and psychological mechanisms of deontic justice. Here, we advance a theoretical model that disentangles three key processes of deontic justice: The use of justice rules to assess events, cognitive empathy, and affective empathy. Together with reviewing neural systems supporting these processes, broader implications of our model for business ethics scholarship are discussed. (shrink)

This paper argues that human psychological resilience is a central virtue in sport and in human life generally. Despite its importance, it is an overlooked virtue in philosophy of sport and classical and contemporary virtue theory. The phenomenon of human resilience has received a great deal of attention recently in other quarters, however. There is a large and instructive empirical psychological literature on resilience, but connections to virtue theory are rarely drawn and there is no agreement about what (...) the concept refers to. This paper attempts to clarify the concept of resilience and explain how it fits into and supports a traditional Aristotelian conception of virtue. It shows how resilience figures centrally in sport and can extend and enrich our understanding of virtue and success in sport and of sport's internal values. The investigations into the nature of resilience in sport can also help us to understand better sport's contributions to human culture and well-being. (shrink)

This paper argues that human psychological resilience is a central virtue in sport and in human life generally. Despite its importance, it is an overlooked virtue in philosophy of sport and classical and contemporary virtue theory. The phenomenon of human resilience has received a great deal of attention recently in other quarters, however. There is a large and instructive empirical psychological literature on resilience, but connections to virtue theory are rarely drawn and there is no agreement about what (...) the concept refers to. This paper attempts to clarify the concept of resilience and explain how it fits into and supports a traditional Aristotelian conception of virtue. It shows how resilience figures centrally in sport and can extend and enrich our understanding of virtue and success in sport and of sport's internal values. The investigations into the nature of resilience in sport can also help us to understand better sport's contributions to human culture and well-being. (shrink)

This is a contribution to a Book symposium on The Limits of Free Will: Selected Essays by Paul Russell. Russell provides replies to three critics of The Limits of Free Will. The first reply is to Robert Wallace and focuses on the question of whether there is a conflict between the core compatibilist and pessimist components of the "critical compatibilist" position that Russell has advanced. The second reply is to Angela Smith's discussion of the "narrow" interpretation of moral responsibility responsibility (...) (as defended by R. Jay Wallace) and how best to respond to it. The third and last reply is concerned with Christopher Bennett's criticism of Russell's views concerning "motivational scepticism" and the possibility of pure practical reasons. (shrink)

Bertrand Russell was one of the greatest logicians since Aristotle, and one of the most important philosophers of the past two hundred years. As we approach the 125th anniversary of the Nobel laureate's birth, his works continue to spark debate, resounding with unmatched timeliness and power. The Problems of Philosophy, one of the most popular works in Russell's prolific collection of writings, has become core reading in philosophy. Clear and accessible, this little book is an intelligible and stimulating guide (...) to those problems of philosophy which often mistakenly lead to its status as too lofty and abstruse for the lay mind. Focusing on problems he believes will provoke positive and constructive discussion, Russell concentrates on knowledge rather than metaphysics, steering the reader through his famous 1910 distinction between "knowledge by acquaintance and knowledge by description," and introducing important theories of Descartes, Kant, Hegel, Hume, Locke, Plato, and others to lay the foundation for philosophical inquiry by general readers and scholars alike.With a new introduction by John Perry, this valuable work is a perfect introduction to the field and will continue to stimulate philosophical discussion as it has done for nearly forty years. (shrink)

Nancy Cartwright's 1983 book How the Laws of Physics Lie argued that theories of physics often make use of idealisations, and that as a result many of these theories were not true. The present paper looks at idealisation in logic and argues that, at least sometimes, the laws of logic fail to be true. That might be taken as a kind of skepticism, but I argue rather that idealisation is a legitimate tool in logic, just as in physics, and recognising (...) this frees logicians up to use false laws where these are helpful. (shrink)

MacIntyre’s theory of practices, institutions, and their respective kinds of goods, has revived and enriched the ethical critique of market economies, and his view of politics as centrally concerned with common goods and human flourishing presents a major challenge to neutralist liberal theorists’ attempts to exclude distinctively ethical considerations from political deliberation. However, the rejection of neutrality does not entail the rejection of liberalism tout court: questions of human flourishing may be accorded a legitimate role in political decisions-including those (...) about economic systems - provided that the powers of the state remain subject to certain recognizably liberal constraints. Further, although neutralist liberals often defend market economies on the mistaken grounds that they alone are consistent with the principle of ethical neutrality, a non-neutralist defence of them should not be ruled out, especially if the substantive theory of goods used to evaluate them is somewhat less restrictive than MacIntyre’s. (shrink)

A barrier to entailment exists if you can't get conclusions of a certain kind from premises of another. One of the most famous barriers in philosophy is Hume's Law, which says that you can't get normative conclusions from descriptive premises, or in slogan form: you can't get an ought from an is. This barrier is highly controversial, and many famous counterexamples were proposed in the last century. But there are other barriers which function almost as philosophical platitudes: no Universal conclusions (...) from Particular premises, no Future conclusions from premises about the Past, and no claims that attribute Necessity from premises that merely tell us how things happen to be in the Actual world. Barriers to Entailment proposes a unified logical account of five barriers that have played important roles in philosophy, in the process showing how to diagnose proposed counterexamples and arguing that the case for Hume's Law is as strong as that for the platitudinous barriers. -/- The first two parts of the book employ techniques from formal logic, but present them in an accessible way, suitable for any reader with some background in first-order model theory (of the kind that might be taught in a first class in logic). Gillian Russell introduces tense, modal, indexical, and deontic formal logics, but always avoids unneeded complexity. Each barrier is connected to broader philosophical topics: universality, time, necessity, context-sensitivity, and normativity. Russell brings out under-recognised connections between the domains and lays the groundwork for further work at the intersections. -/- The last part of the book transposes the formal work to informal barrier theses in the philosophy of language, in the process doing new work on the concept of logical consequence, and providing new responses to proposed informal counterexamples to Hume's Law which employ hard-to-formalise tools from natural language, such as speech acts and thick normative expressions. (shrink)

This chapter critically examines the evolutionary assumptions that underlie the notion that nature is like a master engineer. It compares and contrasts intentional genetic modification (IGM) with unintentional genetic modification (UGM) as to their potential for improving human life. The chapter first argues for two main theses. First, UGM operates under constraints that severely limit its ability to realize what human beings rightly value, including their own survival and improvement. Because IGM can remove these constraints, it is potentially more effective (...) in promoting human well‐being. Second, IGM is also potentially morally preferable to UGM, since the latter is wantonly destructive of life, often involves suffering on a massive scale. The chapter then articulates the kernel of truth in appeals to the wisdom of nature, arguing for the need to develop appropriate cautionary heuristics for IGM. (shrink)

The present study was designed to explore the relationship between self-reported dissociative experiences and performance in tasks eliciting right-hemisphere processing load. Thirty-four participants performed a vigilance task in two conditions: with task-irrelevant negative-arousing pictures and task-irrelevant neutral pictures. Dissociation was assessed with the Dissociative Experience Scale. Consistent with theories positing right-hemisphere deregulation in high non-clinical dissociators, dissociative experiences correlated with greater vigilance decrement only in the negative picture condition. As both the vigilance task and negative picture processing are right lateralized, (...) this result provides support for a right-hemisphere dysfunction in high dissociators, at least in negative conditions. (shrink)

This third volume of Boston Studies in the Philosophy of Science contains papers which are based upon Colloquia from 1964 to 1966. In most cases, they have been substantially modified subsequent to presentation and discussion. Once again we publish work which goes beyond technical analysis of scientific theories and explanations in order to include philo sophical reflections upon the history of science and also upon the still problematic interactions between metaphysics and science. The philo sophical history of scientific ideas has (...) increasingly been recognized as part of the philosophy of science, and likewise the cultural context of the genesis of such ideas. There is no school or attitude to be taken as de fining the scope or criteria of our Colloquium, and so we seek to under stand both analytic and historical aspects of science. This volume, as the previous two, constitutes a substantial part of our final report to the U. S. National Science Foundation, which has continued its support of the Boston Colloquium for the Philosophy of Science by a grant to Boston University. That report will be concluded by a subse quent volume of these Studies. It is a pleasure to record our thanks to the Foundation for its confidence and funds. We dedicate this book to the memory of Norwood Russell Hanson. During this academic year of 1966-67, this beloved and distinguished American philosopher participated in our Colloquium, and he did so before. (shrink)

Norman Kretzmann's recent analysis of the natural lawslogan ``lex iniusta non est lex'' (an unjust law is nota law) demonstrates the coherence of the slogan andmakes a case for its practical value, but I shallargue that it also ends up showing that the sloganfails to mark any interesting conceptual or practicaldivision between natural law and legal positivistviews about the nature of law. I argue that this is ahappy result. The non-est-lex slogan has been used toexaggerate the extent of disagreement about (...) the natureof law and has diverted critics of natural law theoryfrom recognizing that the main disagreement betweennatural lawyers and legal positivists centres ontheories of practical reason and how they affect ourunderstanding of the relationship between law andmorality. This extends the debate about the nature oflaw somewhat beyond the traditional boundaries ofphilosophy of law, but these boundaries are due inpart to the diversion created by debate over thenon-est-lex slogan. Recognizing that the non-est-lexslogan fails on its own to mark any interestingpractical or conceptual division between natural lawtheories and legal positivism should therefore focusand encourage debate on matters of genuine substancebetween these outlooks. The disagreement, however, mayturn out to be primarily metaphysical and explanatoryand not normative in nature. (shrink)

I examine what the mathematical theory of random structures can teach us about the probability of Plenitude, a thesis closely related to David Lewis's modal realism. Given some natural assumptions, Plenitude is reasonably probable a priori, but in principle it can be (and plausibly it has been) empirically disconfirmed—not by any general qualitative evidence, but rather by our de re evidence.

How the insights of an 18th century economist can help us live better in the 21st century. Adam Smith became famous for The Wealth of Nations, but the Scottish economist also cared deeply about our moral choices and behavior--the subjects of his other brilliant book, The Theory of Moral Sentiments (1759). Now, economist Russ Roberts shows why Smith's neglected work might be the greatest self-help book you've never read. Roberts explores Smith's unique and fascinating approach to fundamental questions such (...) as: - What is the deepest source of human satisfaction? - Why do we sometimes swing between selfishness and altruism? - What's the connection between morality and happiness? Drawing on current events, literature, history, and pop culture, Roberts offers an accessible and thought-provoking view of human behavior through the lenses of behavioral economics and philosophy. (shrink)

As Axel Honneth has recently noted, the critical concerns of social philosophers during the past three decades have been focused primarily on questions of justice, with ethical issues about the human good being largely excluded. In the first section I briefly explore this exclusion in both ‘Anglo-American’ political philosophy and ‘German’ critical theory. I then argue, in the main sections, that despite this commitment to their exclusion, distinctively ethical concepts and ideals can be identified both in Rawls’s Theory (...) of Justice and in Habermas’s Theory of Communicative Action, taking these as exemplary, representative texts for each theoretical school. These ethical elements, and their implications for the critical evaluation of economic institutions, have gone largely unnoticed. In the final section I indicate the kinds of debates that might be generated, were these to be given the attention they arguably deserve. I focus especially on the significance of empirical issues, and hence on the role of social science in social criticism. (shrink)

Hume's place in history -- Moral psychology -- Strategic analysis -- Convention -- Political theory -- Justice as order -- Utilitarianism -- Value theory -- Retrospective.

Norman Kretzmann''s recent analysis of the natural lawslogan ``lex iniusta non est lex'''' (an unjust law is nota law) demonstrates the coherence of the slogan andmakes a case for its practical value, but I shallargue that it also ends up showing that the sloganfails to mark any interesting conceptual or practicaldivision between natural law and legal positivistviews about the nature of law. I argue that this is ahappy result. The non-est-lex slogan has been used toexaggerate the extent of disagreement about (...) the natureof law and has diverted critics of natural law theoryfrom recognizing that the main disagreement betweennatural lawyers and legal positivists centres ontheories of practical reason and how they affect ourunderstanding of the relationship between law andmorality. This extends the debate about the nature oflaw somewhat beyond the traditional boundaries ofphilosophy of law, but these boundaries are due inpart to the diversion created by debate over thenon-est-lex slogan. Recognizing that the non-est-lexslogan fails on its own to mark any interestingpractical or conceptual division between natural lawtheories and legal positivism should therefore focusand encourage debate on matters of genuine substancebetween these outlooks. The disagreement, however, mayturn out to be primarily metaphysical and explanatoryand not normative in nature. (shrink)

Fried and Kollár constructed a fully faithful functor from the category of graphs to the category of fields. We give a new construction of such a functor and use it to resolve a longstanding open problem in computable model theory, by showing that for every nontrivial countable structure${\cal S}$, there exists a countable field${\cal F}$of arbitrary characteristic with the same essential computable-model-theoretic properties as${\cal S}$. Along the way, we develop a new “computable category theory”, and prove that our (...) functor and its partially defined inverse are computable functors. (shrink)

ABSTRACTHélène Landemore's Democratic Reason marks a crucial achievement in democratic theory, as it successfully shows that democracy is about more than procedural legitimacy—and that it should be. Nonetheless, the procedural argument remains at the heart of the case for democracy. For many democratic decisions, getting the right answer is not what we ask of political institutions. Politics is often about defining what counts as a problem, and no single definition counts as the right one. Furthermore, the epistemic claim that (...) democracy is likely to get moral questions right can obscure the difficulty of getting moral questions exactly “right.” The best political approach to controversial questions is often to strike a balance of competing claims, and every actual democracy does this in ways that leave many citizens dissatisfied. This is why many citizens participate in democratic politics as partisans: they put more trust in their party than in the democratic regime to get it right. Partisanship fuels the never-ending democratic contest over what it means to get it right in politics, but it is also appropriately epistemic, in that it is prompted by the never-ending possibility that even democracy will get things wrong. (shrink)

Intimacy and Alienation puts forward the author's unique paradigm for psychotherapy and counselling based on the assumption that each patient has suffered a disruption of the `self', and that the goal of the therapist is to identify and work with that disruption. Using many clinical illustrations, and drawing on self psychology, attachment therapy and theories of trauma, Russell Meares looks at the nature of self and how it develops, before going on to explore the form and feeling of experience when (...) self is disrupted in a traumatic way, and focusing on ways towards the restoration of the self. Written in an accessible style from the author's singular perspective, Intimacy and Alienation will appeal to professionals in the fields of psychotherapy, counseling, social work and psychiatry, as well as to students and the lay reader. (shrink)

‘Free action’ is subject to the causal theory of reference and thus that The essential nature of free actions can be discovered only by empirical investigation, not by conceptual analysis. Heller ’s proposal, if true, would have significant philosophical implications. Consider the enduring issue we will call the Compatibility Issue : whether the thesis of determinism is logically compatible with the claim that.

Machine generated contents note: -- Series Editors' PrefaceAcknowledgementsNotes on ContributorsHow Things Are Elsewhere; W. Schwarz Information Change and First-Order Dynamic Logic; B.Kooi Interpreting and Applying Proof Theories for Modal Logic; F.Poggiolesi & G.Restall The Logic(s) of Modal Knowledge; D.Cohnitz On Probabilistically Closed Languages; H.Leitgeb Dogmatism, Probability and Logical Uncertainty; B.Weatherson & D.Jehle Skepticism about Reasoning; S.Roush, K.Allen & I.HerbertLessons in Philosophy of Logic from Medieval Obligations; C.D.Novaes How to Rule Out Things with Words: Strong Paraconsistency and the Algebra of Exclusion; (...) F.Berto Lessons from the Logic of Demonstratives; G.RussellThe Multitude View on Logic; M.Eklund Index. (shrink)

In his novel Remembrance of Things Past, Marcel Proust argues that conventional descriptions of the phenomenology of consciousness are incomplete because they focus too much on the highly-salient sensory information that dominates each moment of awareness and ignore the network of associations that lies in the background. In this paper, I explicate Proust’s theory of conscious experience and show how it leads him directly to a theory of aesthetic perception. Proust’s division of awareness into two components roughly corresponds (...) to William James’ division of the stream of thought into a “nucleus” and “fringe.” Proust argues that the function of art is to evoke the underlying associative network indirectly in the mind of the observer by using carefully chosen sensory surfaces to control the stream of thought. I propose a possible neural basis for this Proustian/Jamesian phenomenology, and argue that the general principles of Proustian aesthetics can be applied to all forms of art. I conclude that a scientific theory of art should follow in a straightforward manner from a scientific theory of consciousness. (shrink)

: Puritanism and Confucianism have little in common in terms of their substantive teachings, but they do share an emphasis on bounded, authoritative, localized human arrangements, and this profoundly challenges the dominant presumptions of contemporary globalization. It is not enough to say that these worldviews are ‘‘communitarian’’ alternatives to globalism, for that defines away what needs to be explained. This article compares the ontology of certain elements of the Puritan and Confucian worldviews, and, by focusing on the role of both (...) authority and activity in these systems, assesses (with the assistance of Max Weber) the theories of harmony that each invoke. It concludes by identifying the distinct options that these two modes of human existence suggest for those who wish to defend the relevance of boundedness and authority, and thus the very possibility of a human-scaled politics, in today’s world. (shrink)

Namita Goswami’s book, Subjects That Matter: Philosophy, Feminism, and Postcolonial Theory, challenges its reader not only to attend to how one philosophizes about difference but also how one might philosophize differently. It is concerned with how we, now, practice philosophy as well as what we philosophize about. In this response, I raise a series of questions meant to challenge and expand Goswami’s work from the standpoint of someone rooted in the dominant framework of the Anglo-European academic discourse on difference. (...) In raising these questions, I take myself to be attempting the very twisting free of conventional philosophizing that Subjects That Matter invites. Some of the most powerful discussions in Goswami’s book concern the issues of metaphysics, dialectics, and history. The questions raised here predominantly concern whether specifically “dialectical” non-identity is faithful to Goswami’s conception of a non-antagonistic understanding of difference. Relatedly, does the past-facing metaphysical concept of the Whole insinuate itself in philosophy in such a way as to preclude thinking in ways that go against the grain of the Eurocentric tradition? From this concern for the conceptual commitments of dialectics and its associated metaphysics arises the further concern of whether even a negative dialectics allows for sufficiently differential genealogies. (shrink)

Despite a growing literature on identity theory in the last two decades, much of its current use in archaeology is still driven toward locating and dating static categories such as 'Phoenician,' 'Christian' or 'native.' Previous studies have highlighted the various problems and challenges presented by identity, with the overall effect of deconstructing it to insignificance. As the humanities and social sciences turn to material culture, archaeology provides a unique perspective on the interaction between people and things over the long (...) term. This volume argues that identity is worth studying not despite its slippery nature, but because of it. Identity can be seen as an emergent property of living in a material world, an ongoing process of becoming which archaeologists are particularly well suited to study. The geographic and temporal scale of the papers included is purposefully broad to demonstrate the variety of ways in which archaeology is redefining identity. Research areas span from the Great Lakes to the Mediterranean, with case studies from the Mesolithic to the contemporary world by emerging voices in the field. The volume contains a critical review of theories of identity by the editors, as well as a response and afterword by A. Bernard Knapp"--From publisher's website. (shrink)

This article mounts a defense of my and Slavoj Žižek’s co-edited anthology, Subject Lessons: Hegel, Lacan, and the Future of Materialism, against the two main criticisms of it made throughout Graham Harman’s article “The Battle of Objects and Subjects”: (1) that we and our fellow contributors are guilty of gross overgeneralization when we classify thinkers from various schools of thought – among them New Materialism, object-oriented ontology, speculative realism, and actor–network theory – under the broad rubric of the “new (...) materialisms”; and (2) that despite our pretensions to the mantle of materialism, our Lacano-Hegelian position is actually a full-blown idealism. In responding to and attempting to refute these criticisms, I make the case that our Lacano-Hegelian model of dialectical materialism is an “extimate materialism.”. (shrink)

The debate over whether we should believe that mathematical objects exist quickly leads to the question of how to determine what we should believe. Indispensabilists claim that we should believe in the existence of mathematical objects because of their ineliminable roles in scientific theory. Eleatics argue that only objects with causal properties exist. Mark Colyvan’s recent defenses of Quine’s indispensability argument against some contemporary eleatics attempt to provide reasons to favor the indispensabilist’s criterion. I show that Colyvan’s argument is (...) not decisive against the eleatic and sketch a way to capture the important intuitions behind both views. (shrink)

The debate over whether we should believe that mathematical objects exist quickly leads to the question of how to determine what we should believe. Indispensabilists claim that we should believe in the existence of mathematical objects because of their ineliminable roles in scientific theory. Eleatics argue that only objects with causal properties exist. Mark Colyvan’s recent defenses of Quine’s indispensability argument against some contemporary eleatics attempt to provide reasons to favor the indispensabilist’s criterion. I show that Colyvan’s argument is (...) not decisive against the eleatic and sketch a way to capture the important intuitions behind both views. (shrink)

Desire theories of well-being claim that how well someone’s life goes for them is entirely determined by the fulfilment and frustration of their desires. This thesis considers the viability of theories of this sort. It examines a series of objections that threaten to undermine these views. These objections claim that desire theories of well-being are incorrect because they have implausible implications. I consider four main objections over the course of this thesis. The first claims that these theories are incorrect because (...) they implausibly entail that self-sacrifice does not exist. The second claims that these theories are incorrect because they implausibly entail that severe depression does not diminish the well-being of those afflicted by this condition. The third claims that these theories are incorrect because they have implausible implications about the relative importance of fleeting desires, long-standing desires, and fluctuations in desire strength to well-being. The fourth claims that these theories are incorrect because they fail to capture the intuition that desire fulfilments which leave us disappointed and bereft of feelings of satisfaction do not improve well-being. In each of these cases, I find that desire theories of well-being have sufficient resources to refute these objections. The primary finding of this thesis is that many of the arguments against desire theories of well-being are unsuccessful. A secondary set of findings concern observations about the structure of human psychology. (shrink)

Philosophy of mathematics for the last half-century has been dominated in one way or another by Quine’s indispensability argument. The argument alleges that our best scientific theory quantifies over, and thus commits us to, mathematical objects. In this paper, I present new considerations which undermine the most serious challenge to Quine’s argument, Hartry Field’s reformulation of Newtonian Gravitational Theory.

ExcerptI then looked more closely at the picture of the child and realized to my inexpressible horror that it was a picture of me as a child. This was proof of my guilt… . I wasted no time with denials but said at once to Agathe that only two possibilities remained: either immediate flight and concealment, or suicide. She said very firmly that only the latter came into consideration. Overcome by fear and horror, I awoke.1So ends the account of a (...) dream from early July of 1942, written less than eight months after Adorno's…. (shrink)

First published in 1984 as part of The Collected Papers of Bertrand Russell, Theory of Knowledge represents an important addition to our knowledge of Russell's thought. In this work Russell attempts to flesh out the sketch implicit in The Problems of Philosophy. It was conceived by Russell as his next major project after Principia Mathematica and was intended to provide the epistemological foundations for his work. Russell's subsequent difficulties in presenting his theory of knowledge, brought on (...) by what he considered to be devastating criticisms of Wittgenstein, led to both his abandonment of this work and to a major transformation in his thought. Theory of Knowledge, now available for the first time in paperback, gives us a picture of one of the great minds of the twentieth century at work. It is possible to see the unsolved problems left without disguise or evasion. This second edition has retained the full scholarly introduction. The photographs of the manuscript, appendices, and notes on textual matters have been eliminated to provide a concise and accessible guide to understanding both Russell's own thought and his relationship with Wittgenstein. (shrink)

Originally published in 1904, this book examines the connection between two of Plato's most famous theories, the Theory of Ideas and the Theory of the Immortality of the Soul, and assesses the development of Plato's thinking concerning the nature of the soul and its connection to the body. Gaye looks at pre-Platonic views on immortality and the place of immortality in Plato's overall philosophical structure. This book will be of value to anyone with an interest in Platonic philosophy.

In lieu of an abstract, here is a brief excerpt of the content:russell: the Journal of Bertrand Russell Studies n.s. 33 (summer 2013): 59–94 The Bertrand Russell Research Centre, McMaster U. issn 0036–01631; online 1913–8032 oeviews PRINCIPIA’S SECOND EDITION Russell Wahl English and Philosophy / Idaho State U. Pocatello, id 83209, usa [email protected] Bernard Linsky. The Evolution of Principia Mathematica: Bertrand Russell’s Manuscripts and Notes for the Second Edition. Cambridge: Cambridge U. P., 2011. Pp. vii, 407; 2 plates. isbn: 978-1-10700-327-9. (...) £96; us$159. ussell and Whitehead’s Principia Mathematica was a pioneering work which was in many ways overtaken by the success of the new discipline it helped found. There is little doubt that Principia Mathematica was one of the most important works in the development of symbolic logic, as even Quine, one of the critics of the foundations proposed in it, said: “This is the book that has meant the most to me.”Yet few mathematicians or logicians follow the theory of types proposed in Principia as the foundation of mathematics, nor the logicist project of which it is a variant. While much of Principia ’s notation has been incorporated into modern formal logic and set theory, much of it also is dated and not easy for contemporary mathematicians and logicians to read. Among those who were dissatisfied with the philosophical foundations of the first edition were the authors themselves.1 During 1923 and 1924 Russell revised and updated Principia, and the second edition of the first volume appeared in 1925 with the other two volumes appearing in 1927. What resulted was a new edition with the philosophical underpinning modi- fied, but with the superstructure, that is, the resulting theorems of the three volumes, unchanged. Russell wrote a new Introduction and added three Appendices, but other than that made only minor changes.The new philosophy of logic had as its core idea a principle of extensionality which Russell expressed as the view that “functions of propositions are always truth-functions and a function can only occur in a proposition through its values” (PM2 1: ______ 1 Russell wrote the new material for the second edition, but it is clear from a letter to him byWhitehead on 24 May 1923, quoted by Linsky, that he, too, thought the foundational system needed tweaking: “I don’t think that ‘types’ are quite right” (p. 16). o= 60 Reviews xiv). It is interesting that at times Russell seems to have been hesitant about even endorsing this change.2 The second edition of Principia has not been well received; by and large it has either been ignored or scorned. Linsky cites especially negative remarks by Monk, but others have dismissed the second edition additions and it has generally been thought a failure since 1944, when Gödel pointed out an error in the Appendix B proof that mathematical induction can be “rectified” even without the axiom of reducibility. The Evolution of Principia Mathematica makes available to scholars Russell’s notes and manuscripts of the new material added to the second edition. Linsky also seeks to redress the indifference to the second edition, to set the record straight about several misunderstandings, and to give an account of the new material.The book he has produced will be very valuable to scholars of Russell and to anyone interested in the development of type theory and indeed of logic as a whole during this time. This is also a difficult book, both because the material can get quite technical at times and also because the new material included in the introduction to the second edition is somewhat sketchy, and there are philosophical and technical points about which Russell himself is less than clear. As a result there have been disagreements about how the second edition is best to be interpreted. Linsky recognizes that the interpretive issues are under-determined by the text and wants to stay relatively neutral with respect to the different alternatives about the various controversies. At times it can be difficult to keep the various positions straight.The difficulty lies with the material, and Linsky does a very good job of explaining the issues to the layman. The work is divided into... (shrink)