Mentoring the Mentor recreates a Freirian dialogue in a printed format. In this volume, sixteen distinguished scholars engage in a critical and thoughtful exchange with Paulo Freire. While some contributors voice appreciation for Freire's ideas and for what it means to «reinvent Freire» in a North American context, others offer sharp critiques of Freire's philosophy and, of equal importance, of the various interpretations of his work. A variety of chapters describe specific uses which have been made of Freire's ideas in (...) diverse educational contexts, from the New York City public schools to the revolutions in Guinea Bissau and Eritrea. Finally, Paulo Freire himself responds to the major issues which are raised in the volume and invites readers to share in a continuing lively dialogue about the meaning of democratic and revolutionary education. «The fundamental task of the mentor is a liberatory task. It is not to encourage the mentor's goals and aspirations and dreams to be reproduced in the mentees, the students, but to give rise to the possibility that the students become the owners of their own history. This is how I understand the need that teachers have to transcend their merely instructive task and to assume the ethical posture of a mentor who truly believes in the total autonomy, freedom, and development of those he or she mentors.» (from Chapter Sixteen, «A Response» by Paulo Freire). (shrink)

We uncover a largely unnoticed and unaddressed problem in conservation research: arguments built within studies are sometimes defective in more fundamental and specific ways than appreciated, because they misrelate values and empirical matters. We call this the unraveled rope problem because just as strands of rope must be properly and intricately wound with each other so the rope supports its load, empirical aspects and value aspects of an argument must be related intricately and properly if the argument is to objectively (...) support its conclusion. By characterizing this problem with precision, our study differs from but complements existing studies of value issues in conservation science, in two ways. First, it focuses on key relationships between empirical issues and value issues, relations that have sometimes been obscured by focusing on these issues more independently of each other. Second, it focuses on these relationships within arguments and deploys a method of argument analysis and evaluation honed in other fields but under-utilized in conservation science. By combining our study's novel features, we detail six families of argument defect that exemplify the unraveled rope problem within existing literature. These defects sometimes manifest within basic research stages, rather than just in more applied downstream stages where roles for values are already obvious to many. As scientific reasoning and communication become increasingly important for addressing society's greatest environmental challenges, overcoming the unraveled rope problem will be essential to the success and integrity of conservation research. Therefore, we also outline potential solutions, preventative measures, and useful further work for conservation researchers. (shrink)

Writers of English can choose whether to mark a high level of sentience in a nonhuman animal by selecting the word who rather than which. An examination of texts relating to foxhunting on the world wide web showed that, in reference to the nonhuman animals involved in foxhunting, writers were most likely to use who in reference to foxes, and least likely to use it in reference to horses. Those who support foxhunting are more likely to recognize the sentience of (...) the fox than those who oppose foxhunting. This may be because those who enjoy foxhunting present the fox as an active creator of the hunt, and as a worthy opponent. (shrink)

This article examines the experience of online worship among 13 participants ‘attending’ virtual services in Cambridge. We focus upon an online formal Eucharistic service and a more informal Sunday evening non-Eucharistic service. After providing an overview of the literature on online religion, more specifically the possibility of a virtual religious community and the performance of online Eucharist, we present data from semi-structured interviews which were analysed through thematic analysis. The interviews reveal that virtual services, while better than nothing, have significant (...) limitations in terms of participation, belonging, and the kind of religious experience engendered. While only two participants expressed the view that the virtual service was better than the live service, the majority found that the virtual service lacked a sense of connectedness. However, everyone agreed that it was different from a television broadcast in several important ways. The overall view was that celebrating the Eucharist was not possible online, because congregants could not actually partake of the bread and wine blessed by the priest which, for them, was an essential aspect of the ritual. For most people there was neither spiritual communion, nor a belief in consecration at a distance, leaving them feeling they were not really participating in the Eucharist. The participants in the study who engaged with both the Eucharist in the morning and the non-Eucharistic service in the evening generally seem to have preferred the latter. The data from this study are congruent with studies of diverse faiths which reveal the perceived importance of physical presence, contact and connection as being important for ritual effectiveness. (shrink)

Botswana’s history is one of an unwavering exercise of self-determination and quest for self-rule. Post-independence, self-government prioritized an overarching philosophy of Kagisano or social harmony within which the aims of education were framed, in conjunction with a political commitment to Botho through democracy. For economic and social reasons the current educational policy of Botswana is driven by outcome-based education (OBE), with its metrics of quantifiable outcomes. This article argues that Olúfemi Táíwò’s analysis of decolonization provides a philosophical lens through which (...) to interpret Botswana’s current educational pathway within the prevailing decolonization discourse. OBE clearly exhibits features of neocolonialism, as it pertains to the national value principles. We draw on Ndlovu-Gatsheni’s decolonial epistemic perspective to frame the discussions. Insofar as OBE can be integrated with Botswana’s ethnically inclusive, community-based view of democracy and associated virtues, this is a worthy goal for education, and it could lead to a particular form of indigenized democracy. Substantive distinctions among the concepts of decolonization, neocolonialism, and decoloniality underwrite this thesis. We see the project of envisaging a future of education in Botswana as having to do with disentangling colonialist–imperialist cultural reproduction from indigenous aspirations. (shrink)

Recent years have seen an explosion of interest in the semantics of knowledge-attributing sentences, not just among epistemologists but among philosophers of language seeking a general understanding of linguistic context sensitivity. Despite all this critical attention, however, we are as far from consensus as ever. If we have learned anything, it is that each of the standard views—invariantism, contextualism, and sensitive invariantism—has its Achilles’ heel: a residuum of facts about our use of knowledge attributions that it can explain only with (...) special pleading. This is not surprising if, as I will argue, there is a grain of truth in each of these views. (shrink)

John MacFarlane explores how we might make sense of the idea that truth is relative. He provides new, satisfying accounts of parts of our thought and talk that have resisted traditional methods of analysis, including what we mean when we talk about what is tasty, what we know, what will happen, what might be the case, and what we ought to do.

Logic is usually thought to concern itself only with features that sentences and arguments possess in virtue of their logical structures or forms. The logical form of a sentence or argument is determined by its syntactic or semantic structure and by the placement of certain expressions called “logical constants.”[1] Thus, for example, the sentences Every boy loves some girl. and Some boy loves every girl. are thought to differ in logical form, even though they share a common syntactic and semantic (...) structure, because they differ in the placement of the logical constants “every” and “some”. By contrast, the sentences Every girl loves some boy. and Every boy loves some girl. are thought to have the same logical form, because “girl” and “boy” are not logical constants. Thus, in order to settle questions about logical form, and ultimately about which arguments are logically valid and which sentences logically true, we must distinguish the “logical constants” of a language from its nonlogical expressions. (shrink)

Let me start with a well-known story. Kant held that logic and conceptual analysis alone cannot account for our knowledge of arithmetic: “however we might turn and twist our concepts, we could never, by the mere analysis of them, and without the aid of intuition, discover what is the sum [7+5]” (KrV, B16). Frege took himself to have shown that Kant was wrong about this. According to Frege’s logicist thesis, every arithmetical concept can be defined in purely logical terms, and (...) every theorem of arithmetic can be proved using only the basic laws of logic. Hence, Kant was wrong to think that our grasp of arithmetical concepts and our knowledge of arithmetical truth depend on an extralogical source—the pure intuition of time (Frege 1884, §89, §109). Arithmetic, properly understood, is just a part of logic. (shrink)

It is taken for granted in much of the literature on vagueness that semantic and epistemic approaches to vagueness are fundamentally at odds. If we can analyze borderline cases and the sorites paradox in terms of degrees of truth, then we don’t need an epistemic explanation. Conversely, if an epistemic explanation suffices, then there is no reason to depart from the familiar simplicity of classical bivalent semantics. I question this assumption, showing that there is an intelligible motivation for adopting a (...) many-valued semantics even if one accepts a form of epistemicism. The resulting hybrid view has advantages over both classical epistemicism and traditional many-valued approaches. (shrink)

According to Semantic Minimalism, every use of "Chiara is tall" (fixing the girl and the time) semantically expresses the same proposition, the proposition that Chiara is (just plain) tall. Given standard assumptions, this proposition ought to have an intension (a function from possible worlds to truth values). However, speakers tend to reject questions that presuppose that it does. I suggest that semantic minimalists might address this problem by adopting a form of "nonindexical contextualism," according to which the proposition invariantly expressed (...) by "Chiara is tall" does not have a context-invariant intension. Nonindexical contextualism provides an elegant explanation of what is wrong with "context-shifting arguments" and can be seen as a synthesis of the (partial) insights of semantic minimalists and radical contextualists. (shrink)

From García-Carpintero and Kölbel, eds, Relative Truth.

I want to discuss a puzzle about the semantics of epistemic modals, like “It might be the case that” as it occurs in “It might be the case that Goldbach’s conjecture is false.”1 I’ll argue that the puzzle cannot be adequately explained on standard accounts of the semantics of epistemic modals, and that a proper solution requires relativizing utterance truth to a context of assessment, a semantic device whose utility and coherence I have defended elsewhere for future contingents (MacFarlane..

Frank Plumpton Ramsey (1903–30) made seminal contributions to philosophy, mathematics and economics. Whilst he was acknowledged as a genius by his contemporaries, some of his most important ideas were not appreciated until decades later; now better appreciated, they continue to bear an influence upon contemporary philosophy. His historic significance was to usher in a new phase of analytic philosophy, which initially built upon the logical atomist doctrines of Bertrand Russell and Ludwig Wittgenstein, raising their ideas to a new level of (...) sophistication, but ultimately he became their successor rather than remain a mere acolyte. (shrink)

Patrick Todd argues for a modified Peircean view on which all future contingents are false. According to Todd, this is the only view that makes sense if we fully embrace an open future, rejecting the idea of actual future history. I argue that supervaluational accounts, on which future contingents are neither true nor false, are fully consistent with the metaphysics of an open future. I suggest that it is Todd's failure to distinguish semantic and postsemantic levels that leads him to (...) suppose otherwise. I also show how one can resist Todd's argument (with Brian Rabern) that the conceptual possibility of omniscience requires us to reject Retro‐closure (). (shrink)

The present state of ethical theory and practice is disquieting. Objectivism, in all its varieties, is unconvincing, and subjectivism, hedonic or emotive, is intellectually incredible and socially intolerable. No one is ethically content—except the dogmatist and the sceptic, who act willy nilly with the exponents of “might-cum-persuasion makes right.” Can we find a happier middle region between these inhospitable poles? Perhaps the very limitations of human valuation will provide the ground that ethics requires. Let us begin by considering the conditions (...) which must hold if ethical action is to be possible: 1. Only if the agent can provide a justifying reason for his choice of action can he claim to act ethically. For ethical action is a species of purposive action, and to act purposively entails the ability to give justifying reasons for one's choice of action. . Thus ethical action presupposes putatively grounded ethical judgment. 2. Justifying reasons must be acknowledgeable by all competent judges, i.e. by all persons who are acquainted with all relevant knowledge of the nature and consequences of the alternative courses of action, allow as far as possible for congenital, cultural and idiosyncratic bias, are capable of sane and serious reflection, and are able to make survey of their experience and to draw conclusions from it. For the judgment “the action A is ethically preferable to its alternatives B ” entails “A ought to be done” which in turn entails “every competent judge is capable of acknowledging the ground of the judgment ‘A is ethically preferable to B’ and consequently would be able to set himself to perform A as an ethical act, .” We can assure ourselves of this requirement of acknowledgeability by observing that whenever we resolve, and not merely settle, an ethical disagreement, we have achieved not only a factual, predictive, valuational and attitudinal agreement between the disputants, but a joint acknowledgment of the ground of the ethical judgment. Without this, the agreement could not be said to be ethical, whether the judgment be right or wrong or neither, but merely an agreement to disagree, ethically. Unless ethical disagreement is in principle resolvable, ethical judgment is impossible, for we should be unable to claim that our choice ought to be acted upon. (shrink)

Phenologists track the seasonal behavior of plants and animals in response to climatic change. During the second half of the twentieth century, phenologists developed a large-scale project to monitor the flowering time of the common lilac across the United States. By the 1960s, this approach offered a potential plant-based indicator of anthropogenic climate change, a biological signal amidst the emerging narrative of increasing levels of atmospheric carbon dioxide. As a tangible representation of changes in climate—warmer temperatures lead to earlier blooming—phenology (...) proved highly legible to scientists, politicians, and laypeople. Yet, as phenology gained broader repute in the 1960s, both in agricultural stations and as a component program of the International Biological Program, it struggled to align itself epistemically with the regnant disciplinary assumptions of mid-century ecology. Operating in the hinterlands between laboratory and field, biology and meteorology, ecological theory and agronomy practice, phenologists challenged prevailing notions of the model organism and what it meant to study biology in the field. Rebranding the discipline as a component of ecosystem modeling, scientists successfully brought phenology within the purview of mainstream ecology. In so doing, however, they obscured its climate-relevant meteorological character and stymied the development of a biological narrative of climate change. (shrink)

One of the central themes of Brandom’s work is that we should construct our sematic theories around material validity and incompatibility, rather than reference, truth, and satisfaction. This approach to semantics is motivated in part by Brandom’s pragmatism about the relation between semantics and the more general study of language use—what he calls “pragmatics”: Inferring is a kind of doing. . . . The status of inference as something that can be done accordingly holds out the promise of securing an (...) appropriate relation between pragmatics, the study of the practices, and semantics, the study of the corresponding contents. (MIE, 91)1 Although Brandom does not go so far as to say that a pragmatist attitude to the relation between semantics and pragmatics requires an inferentialist semantics, his motivating arguments strongly suggest that a pragmatist ought to be an inferentialist. In what follows, I discuss the connections between Brandom’s pragmatism and his inferentialism. I’ll argue that pragmatism, as Brandom initially describes it—the view that “semantics must answer to pragmatics”—does not favor an inferentialist approach to semantics over a truth-conditional one. I’ll then consider whether inferentialism might be.. (shrink)

Angesichts der gegenwärtigen ökonomischen, ökologischen und sozialen Krisen zeichnet sich ab, dass die Wachstumsdynamik moderner Gesellschaften nicht mehr stabilisierend wirkt, sondern selbst zum Krisentreiber geworden ist. In diesem Band diskutieren die Philosophin Nancy Fraser und die Soziologen Klaus Dörre, Stephan Lessenich und Hartmut Rosa, was dies für die Gegenwart und die Zukunft der Demokratie bedeutet und welche Konzeptionen und Wege hin zu einer demokratischen Transformation vorstellbar sind. Aus ihrer demokratietheoretischen Perspektive intervenieren Viviana Asara, Banu Bargu, Ingolfur Blühdorn, Robin Celikates, (...) Lisa Herzog, Brian Milstein, Michelle Williams und Christos Zografos. (shrink)

According to neo-Fregeans, an expression that is syntactically singular and figures in a true sentence is guaranteed to have some existing thing in the world to pick out. But this approach is confronted by a dilemma. If reality is crystalline, has a structure fixed independently of language, then the view that reality is guaranteed to contain a sufficient plenitude of objects to supply referents for the relevant expressions is left hostage to cosmological fortune. Whereas if reality is plastic then it (...) becomes dubiously coherent to conceive of our ordinary, scientific, and mathematical claims about a diversity of objects as being genuinely true or false of an independent reality. To avoid this dilemma, the neo-Fregeans must abandon the dichotomy that says either our true sentences must ‘mirror’ the structure of a crystalline reality or ‘impose’ structure upon a plastic one. If we can legitimately deny that there is an intelligible question to be raised of how language hooks onto reality, then prima facie we can grant that a sentence S is true without thereby becoming embroiled in the uncomfortable consequences of having to say what makes S true. So ontological quietism holds out the last, best hope for neo-Fregeanism. (shrink)

If it is not now determined whether there will be a sea battle tomorrow, can an assertion that there will be one be true? The problem has persisted because there are compelling arguments on both sides. If there are objectively possible futures which would make the prediction true and others which would make it false, symmetry considerations seem to forbid counting it either true or false. Yet if we think about how we would assess the prediction tomorrow, when a sea (...) battle is raging (or not), it seems we must assign the utterance a definite truth-value. I argue that both arguments must be given their due, and that this requires relativizing utterance-truth to a context of assessment. I show how this relativization can be handled in a rigorous formal semantics, and I argue that we can make coherent sense of assertion without assuming that utterances have their truth-values absolutely. (shrink)

Kinship and reciprocity are two main predictors of altruism. The ultimatum game has been used to study altruism in many small-scale societies. We used the ultimatum game to examine effects of individuals’ family and kin relations on altruistic behavior in a kin-based horticultural community in rural Dominica. Results show sex-specific effects of kin on ultimatum game play. Average coefficient of relatedness to the village was negatively associated with women’s ultimatum game proposals and had little effect on men’s proposals. Number of (...) brothers in the village was positively associated with men’s ultimatum game proposals and negatively associated with women’s proposals. Similarly, presence of father in the village was associated with higher proposals by men and lower proposals by women. We interpret the effect of brothers on men’s proposals as a consequence of local competition among brothers. We speculate that daughter-biased parental care in this community creates a sense of entitlement among women with brothers, which may explain the inverse relation between number of brothers and women’s ultimatum game proposals. The pattern of results may be consistent with how matrifocality affects cultural models of fairness differently along gender and family lines. (shrink)

Best known for having declared the death of God, Nietzsche was a thinker thoroughly absorbed in the Christian tradition in which he was born and raised. Yet while the atheist Nietzsche is well known, the pious Nietzsche is seldom recognised and rarely understood. Redeeming Nietzsche examines the residual theologian in the most vociferous of atheists. Fraser demonstrates that although Nietzsche rejected God, he remained obsessed with the question of human salvation. Examining his accounts of art, truth, morality and eternity, (...) Nietzsche's thought is revealed to be a series of experiments in redemption. (shrink)

Unruly Practices brings together a series of widely discussed essays in feminism and social theory. Read together, they constitute a sustained critical encounter with leading European and American approaches to social theory. In addition, Nancy Fraser develops a new and original socialist-feminist critical theory that overcomes many of the limitations of current alternatives. First, in a series of critical essays, she deploys philosophical and literary techniques to assess the work of Michael Foucault, the French deconstructionists, Richard Rorty, and Jürgen (...) Habermas. Then, in a group of constructive essays, she incorporates their respective strengths in a new critical theory of late-capitalist political culture. Fraser breaks new ground methodologically by integrating the previously divergent insights of poststructuralism, critical social theory, feminist theory, and pragmatism. Thematically, she deals with varied forms of dominance and subordination in modern, industrial, late-capitalist societies. These themes are integrated in an original theory of 'the politics of need interpretation.' This concept becomes the linchpin of the socialist-feminist critical theory. (shrink)

The Higgs model was developed using purely formal analogies to models of superconductivity. This is in contrast to historical case studies such as the development of electromagnetism, which employed physical analogies. As a result, quantum case studies such as the development of the Higgs model carry new lessons for the scientific realism--anti-realism debate. I argue that, by breaking the connection between success and approximate truth, the use of purely formal analogies is a counterexample to two prominent versions of the 'No (...) Miracles' Argument for scientific realism, Psillos' refined explanationist defence of realism and the Argument from History of Science for structural realism. The NMA is undermined, but the success of the Higgs model is not miraculous because there is a naturalistically acceptable explanation for its success that does not invoke approximate truth. I also suggest some possible strategies for adapting to the counterexample for scientific realists who wish to hold on to the NMA in some form. (shrink)

Much philosophy of logic is shaped, explicitly or implicitly, by the thought that logic is distinctively formal and abstracts from material content. The distinction between formal and material does not appear to coincide with the more familiar contrasts between a priori and empirical, necessary and contingent, analytic and synthetic—indeed, it is often invoked to explain these. Nor, it turns out, can it be explained by appeal to schematic inference patterns, syntactic rules, or grammar. What does it mean, then, to say (...) that logic is distinctively formal? (shrink)

What interferes with learning and performing skills well? The Zhuāngzǐ story of the ferryman who steers a sampan through treacherous deeps with preternatural skill highlights one crucial factor: anxiety. Managing or eliminating anxiety is a pivotal step in acquiring and performing skills and, the discursive context of the story suggests, in living a flourishing life. To fare well, in life as in boat-handling, we must learn to forget the deeps and row.

To assert something is to perform a certain kind of act. This act is different in kind both from other speech acts, like questions, requests, commands, promises, and apologies, and from acts that are not speech acts, like toast buttering and inarticulate yodeling. My question, then is this: what features of an act qualify it as an assertion, and not one of these other kinds of act? To focus on a particular example: in uttering “Bill will close the window,” one (...) might be practicing English pronunciation, asserting that Bill will close the window, or requesting that Bill close the window. What makes it the case that one is doing one of these and not another? (shrink)

Abstract“Absolutely nothing,” say the radical Bayesians. “Simplifying decisions,” say the moderates. “Providing premises in practical reasoning,” say the epistemologists. “Coordinating with others,” say I. It is hard to see how to construct an adequate theory of rational behavior without using a graded notion of belief, such as credence. But once we have credence, what role is left for belief? After surveying some answers to this question, I will explore the idea that belief is in a different line of work altogether. (...) Its job is not to rationalize and explain an agent’s behavior, but to track what the agent would accept as a reason. Although some philosophers have seen the connection between belief and reasons, they have tended to see reasons as part of a theory of rational action. This locates belief in the rationalizing and explaining business, where it must vie with credence. In contrast, I argue that reasons play no essential role in an account of individual rationality; they are important because we need to coordinate with others. Credence and belief thus answer to separate needs. (shrink)

The early David Lewis was a staunch critic of the Truthmaker Principle. To endorse the principle, he argued, is to accept that states of affairs are truthmakers for contingent predications. But states of affairs violate Hume's prohibition of necessary connections between distinct existences. So Lewis offered to replace the Truthmaker Principle with the weaker principle that ‘truth supervenes upon being’. This chapter argues that even this principle violates Hume's prohibition. Later Lewis came to ‘withdraw’ his doubts about the Truthmaker Principle, (...) invoking counterpart theory to show how it is possible to respect the principle whilst admitting only things that do not violate Hume's prohibition. What this really reveals is that the Truthmaker Principle is no explanatory advance on the supervenience principle. Extending Lewis's use of counterpart theory also allows us to explain away the necessary connections that threatened to undermine his earlier statements of supervenience. (shrink)

The concepts of particular and universal have grown so familiar that their significance has become difficult to discern, like coins that have been passed back and forth too many times, worn smooth so their values can no longer be read. On the Genealogy of Universals seeks to overcome our sense of over-familiarity with these concepts by providing a case study of their evolution during the late nineteenth century and early twentieth century, a study that shows how the history of these (...) concepts is bound up with the origins and development of analytic philosophy itself. Understanding how these concepts were taken up, transfigured, and given up by the early analytic philosophers, enables us to recover and reanimate the debate amongst them that otherwise remains Delphic. This book begins from the early, originating texts of analytic philosophy that have hitherto baffled commentators, including Moore's early papers, and engages afresh with the neglected contributions of philosophical figures that historians of analytic philosophy have mostly since forgotten, including Stout and Whitehead. This sheds new light upon the relationships of Moore to Russell, Russell to Wittgenstein, and Wittgenstein to Ramsey. (shrink)

There is little question that neuroethics can be enriched by closer engagement with Buddhism. One key concern is how to minimize risks of moral imperialism and appropriation while doing so. This co...

In lieu of an abstract, here is a brief excerpt of the content:Journal of the History of Philosophy 39.3 (2001) 454-456 [Access article in PDF] Michael Potter. Reason's Nearest Kin: Philosophies of Arithmetic from Kant to Carnap.New York: Oxford University Press, 2000. Pp. x + 305. Cloth, $45.00. This book tells the story of a remarkable series of answers to two related questions:(1) How can arithmetic be necessary and knowable a priori? [End Page 454](2) What accounts for the applicability of (...) arithmetic to matters of empirical fact?These are philosophical questions, part of a "wider puzzle of explaining the link between experience, language, thought, and the world" (18). But answers to them are heavily constrained by technical results in logic and mathematics, and most of Potter's protagonists are either mathematicians (Frege, Dedekind, Ramsey, Hilbert, Gödel) or mathematically trained philosophers (Kant, Russell, Carnap). (Only Wittgenstein fits neither category.) Potter, whose doctorate was in pure mathematics, is an able guide.It is not hard to think of answers to these questions taken singly; what is hard is answering both at the same time. Formalists can easily explain why arithmetic does not depend for its justification on empirical fact—it is just a game with symbols, not responsible to anything beyond its own rules—but they then have trouble explaining why the world of empirical fact is constrained by this game. Empiricists can explain the applicability of arithmetic in just the same way they explain the applicability of physics, but they then must then explain away the apparent a prioricity and necessity of arithmetic. Kant was the first to propose a plausible answer to both questions: arithmetic is both necessary and empirically applicable because it is grounded in the spatio-temporal form of any possible experience.What unites Frege, Dedekind, Russell, Ramsey, Hilbert, and Carnap is that they reject Kant's answer while continuing to seek an answer to his question: how can arithmetic's necessity be reconciled with its applicability? Potter helpfully classifies their projects by the surrogates they substitute for Kant's appeal to the form of spatio-temporal intuition: Frege and Dedekind appeal to thought, Russell to necessary features of the world, Wittgenstein, Ramsey, and Carnap to language, and Hilbert to the necessary structure of our experience of finitary combinations of objects. (Revealingly, the logicists are not grouped together in Potter's taxonomy.) A chapter (or two) is devoted to each of these thinkers, plus Kant and Gödel.This breadth of coverage does not come at the price of superficiality: Potter's chapters are (by and large) accurate, penetrating, and full of interesting insights. I cannot think of another book that offers such clear explanations of the many mathematical concepts and distinctions one must grasp in order to follow debates in the philosophy of arithmetic. The Russell chapters are enhanced by numerous quotations from archival material. The exposition of Hilbert's programme and the implications for it of Gödel's theorems is the best I have seen. The discussions of Wittgenstein's views on arithmetic and of Carnap's syntactical approach also shine. The chapters on Kant and Frege are somewhat weaker; the discussion of Kant, in particular, would have benefited from some engagement with Michael Friedman's views.But the real contribution of Potter's book is its integration of these nine thinkers into a single coherent story. No one will be surprised that Russell's motivations can only be understood in light of Frege's failures, or that many features of Wittgenstein's cryptic work become clearer when seen in light of the specific problems with Russell's system. But there are also some less obvious payoffs: for example, Hilbert's programme is usefully compared with Russell's regressive method (227-8), and Carnap and Russell are shown to face a common dilemma (269, 286).If there is a central theme to Potter's story, it is "how often we have had to reject an [End Page 455] account not for philosophical reasons but for technical ones" (278). Frege's program founders on Russell's paradox, Russell's... (shrink)