The prime number theorem, established by Hadamard and de la Vallée Poussin independently in 1896, asserts that the density of primes in the positive integers is asymptotic to 1/ln x. Whereas their proofs made serious use of the methods of complex analysis, elementary proofs were provided by Selberg and Erdos in 1948. We describe a formally verified version of Selberg's proof, obtained using the Isabelle proof assistant.

The experimental turn in philosophy has reached several sub-fields including ethics, epistemology, and metaphysics. This paper is among the first to apply experimental techniques to questions in the philosophy of law. Specifically, we examine Lon Fuller's procedural natural law theory. Fuller famously claimed that legal systems necessarily observe eight principles he called "the inner morality of law." We evaluate Fuller's claim by surveying both ordinary people and legal experts about their intuitions about legal systems. We conclude that, at best, we (...) should be skeptical of Fuller's inner morality of law in light of the experimental data. (shrink)

The concept of homology arose from classical studies of comprative morphology, and took on a new signficance with the advent of evolutionary theory. It is currentlyl undergoing antoher metamorphosis: many developmental geneticists now dfine homology as shared patterns of gene expression. However, this ne usage conflaes difinition with criteri, and fails to recognize the meaninful asignments of homology must speify a biologcal level. We argue the although developmental genetic data can help identify homologus structures. they are niether necessary nor sufficient, (...) and do not in any case jutify a new definition of homology. (shrink)

Almost twenty years ago, a genuinely new school of thought emerged in the field of jurisprudential methodology. It is a pragmatist school. Roughly, the pragmatists contend that, when inquiring about the nature of law, we should evaluate potential answers based on practical criteria. For many legal philosophers, this contention seems both unclear and unhinged. That appearance is lamentable. The pragmatist approach to jurisprudential methodology has received insufficient attention for at least two reasons. First, the pragmatists do not conceive of themselves (...) as comprising a school; in fact, these proponents have different names for their common position, which makes it hard to see the commonalities. Second, the most famous statement of the pragmatist view has received withering criticism, criticism that has not been sufficiently answered, a fact that may lead opponents of pragmatism, as well as potential supporters, to doubt that a viable view of this kind can be held. This Essay aims to serve as a corrective. (shrink)

Legal philosophers make a number of bold, contentious claims about the nature of law. For instance, some claim that law necessarily involves coercion, while others disagree. Some claim that all law enjoys presumptive moral validity, while others disagree. We can see these claims in at least three, mutually exclusive ways: (1) We can see them as descriptions of law’s nature (descriptivism), (2) we can see them as expressing non-descriptive attitudes of the legal philosophers in question (expressivism), or (3) we can (...) see them as practical claims about how we should view law or order our society (pragmatism). This paper argues that we should understand these claims in the pragmatist way, as claims about how we should view law or order society. (shrink)

Metaethical minimalism. sometimes called quietism, is the view that first-order moral judgments can be true but nothing makes them true. This article raises three worries for that view. First, minimalists have no good reason to insist that moral judgments can be true. Second, minimalism, in abandoning the requirement that true judgments need to have truthmakers, leads to a problematic proliferation of truths. Third, most versions of minimalism entail a disjointed and therefore unacceptable theory of language and thought.

For more than a decade, activists, scholars, journalists, and politicians of various stripes have been discussing and decrying mass incarceration. This collection of voices has mostly focused on contingent features of the phenomenon. Critics mention racial disparities, poor prison conditions, and spiraling costs. Some critics have alleged broader problems: they have called for an end to all incarceration, even all punishment. Lost in this conversation is a focus on what is inherently wrong with mass incarceration specifically. This essay fills that (...) void and supplies an answer, drawing on the early modern English philosopher Thomas Hobbes. On the Hobbesian account developed here, mass incarceration is always wrong because it is always inconsistent with having a free society. (shrink)

Beginning with a thought experiment about a mysterious Delphic oracle, this article motivates, explains, and attempts to defend a view it calls Ethical Pragmatism. Ethical Pragmatism is the view that we can and should carry on our practice of moral deliberation without reference to moral truths, or more broadly, without reference to metaethics. The defense the article mounts tries to show that neither suspicions about the tenability of fact-value distinctions, nor doubts about the viability of global pragmatism, nor worries about (...) the “force” of ethical injunctions without reference to moral truths constitute good reason to reject Ethical Pragmatism. (shrink)

Little attention is given to Richard Rorty’s metaethical views. No doubt this stems from the fact that most commentators are more interested in his metaphilosophical views; most see his metaethical views, offered in scattered passages, as just the downstream runoff from higher-level reflection. This article considers Rorty’s metaethics on their own merits, quite apart from whether his global picture works. I ultimately argue that Rorty’s metaethical outlook is attractive but beset by internal difficulties. Specifically, I contend that Rorty does not (...) and cannot remain faithful to the methodological approach to metaethics for which he advocates. At the paper’s close, I gesture at a nearby methodological approach that best approximates Rorty’s metaethical methodology. (shrink)

This chapter offers an overview of experimental legal philosophy with a special focus on questions in general jurisprudence, that part of legal philosophy that asks about the concept and nature of law. Much of the experimental general jurisprudence work has tended to follow the questions that have interested general jurisprudence scholars for decades, that is, questions about the relation between legal norms and moral norms. Wholesale criticism of experimental general jurisprudence is scant, but, given existing debates about experimental philosophy generally, (...) one can anticipate where disagreement is likely to occur. Outside of experimental general jurisprudence, there is plenty of vibrant discussion about how experimental results can enrich our understanding of various concepts that figure in everyday legal thought such as causation, intention, consent, or meaning. In the future, experimental legal philosophers should continue to consider the degree to which their project is purely descriptive or whether it is revisionary or pragmatic in its ambitions. Also, future work might consider whether to focus more attention on legal experts. (shrink)

In some previous work, I tried to give a concept-based account of the nature of our entitlement to certain very basic inferences (see the papers in Part III of Boghossian 2008b). In this previous work, I took it for granted, along with many other philosophers, that we understood well enough what it is for a person to infer. In this paper, I turn to thinking about the nature of inference itself. This topic is of great interest in its own right (...) and surprisingly understudied by philosophers. A correct understanding of inference promises to shed light on a number of important topics. In particular, it threatens to undermine the sort of concept-based story about entitlement to which I had previously been attracted. (shrink)

Eliminative materialism is the thesis that our common-sense conception of psychological phenomena constitutes a radically false theory, a theory so fundamentally defective that both the principles and the ontology of that theory will eventually be displaced, rather than smoothly reduced, by completed neuroscience. Our mutual understanding and even our introspection may then be reconstituted within the conceptual framework of completed neuroscience, a theory we may expect to be more powerful by far than the common-sense psychology it displaces, and more substantially (...) integrated within physical science generally. My purpose in this paper is to explore these projections, especially as they bear on (1) the principal elements of common-sense psychology: the propositional attitudes (beliefs, desires, etc.), and (2) the conception of rationality in which these elements figure. (shrink)

Ronald Dworkin and Richard Rorty are sometimes thought to be diametrically opposed philosophers, particularly in their approach to foundational questions in moral thought. Dworkin is a champion of truth and objectivity in morality. Rorty, by contrast, is a great pragmatist who subscribed to a deflated vision of truth and unambiguously renounced objectivity, in favor of what he called “solidarity”. If their stated -isms and alliances were not evidence enough of discord, they also criticized one another in print, particularly on these (...) foundational, or metaethical, questions. The point of this chapter is to show that things are not what they seem: Rorty and Dworkin largely agree on metaethics. The difference between them is largely a difference in emphasis. (shrink)

This essay offers a new way to conceptualize the “police violence against Blacks” phenomenon. I argue that we should see the situation as an instance of what Thomas Hobbes called the state of nature, that is, a state without effective law. This understanding of the phenomenon stands in sharp contrast to that offered by Professor Michelle Alexander in her book The New Jim Crow. Alexander sees the phenomenon as a continuation of centuries-old patterns of state-backed anti-Black racism. My account is (...) that police are not under control of the state in their interactions with Blacks. (shrink)

A man, carrying a gun in his waistband, robs a food vendor. In making his escape, the gun discharges, critically injuring the robber. About such instances, it is common to think, “he got what he deserved.” This Article seeks to explore cases like that—cases of “natural punishment.” Natural punishment occurs when a wrongdoer faces serious harm that results from her wrongdoing and not from anyone seeking retribution against her. The Article proposes that U.S. courts follow their peers and recognize natural (...) punishment as genuine punishment for legal, specifically constitutional, purposes. Were U.S. courts to do so, they would need to reduce the amount of punishment they would otherwise bestow on wrongdoers upon conviction if a natural punishment has occurred or foreseeably will occur. A handful of foreign jurisdictions already accept something like this Article’s proposal, but natural punishment has no formal legal recognition in the United States. The goal of this Article is twofold: first, it offers a rigorous and defensible definition of natural punishment by distinguishing it from nearby notions and dispelling any association with supernatural ideas; second, it demonstrates that recognizing natural punishment as genuine punishment will not much disturb existing American legal institutions and understandings. -/- As an added bonus, the concept of natural punishment can be employed to solve a longstanding problem in criminal law theory, the Mystery of Credit for Time Served. The Mystery surrounds the common practice of giving prisoners credit toward their prison sentences for their time served in jail awaiting trial. The Mystery poses a dilemma about whether the detention time was punishment: If it was punishment, then the detainee was punished before trial in violation of Due Process; however, if the time was not punishment, there is no reason to discount the prison sentence. Seeing the time in detention as an instance of natural punishment resolves the Mystery. (shrink)

"First published in this translation 1955; second edition (revised) 1974; reprinted with additional revisions 1987; reissued with new Further Reading 2003; reissued with new introduction 2007"--T.p. verso.

Proponents of public reason views hold that the exercise of political power ought to be acceptable to all reasonable citizens. This article elucidates the common structure shared by all public reason views, first by identifying a set of questions that all such views must answer and, second, by showing that the answers to these questions stand in a particular relationship to each other. In particular, we show that what we call the ‘rationale question’ is fundamental. This fact, and the common (...) structure more generally, are often overlooked or distorted within the literature. As a result, we argue, several prominent argumentative moves made by both critics and defenders of public reason are unsuccessful. Our overall conclusion is that discussions of public reason views would be more fruitful if they made consistent use of the common structure we identify. (shrink)

Scattered skeptical remarks and a general austerity that infused his writings have given Justice Oliver Wendell Holmes a reputation as some type of nihilist. Noted commentators such as Richard Posner and Albert Alschuler have claimed as much. This article seeks to correct this misunderstanding. Holmes was not a nihilist in the sense of being melancholy due to a belief that the world has no absolute moral values or gods. Instead, Holmes was a pragmatist in the spirit of William James and (...) John Dewey. While Holmes had doubts about moral truth and deities, he ultimately thought that their existence (or non-existence) should have no bearing on our behavior or the law. We must, through our collective efforts, find values that work for us. (shrink)

Comprehending the origin of marine invertebrate larvae remains a key domain of research for evolutionary biologists, including the repeated origin of direct developmental modes in echinoids. In order to address the latter question, we surveyed existing evidence on relationships of homology between the ectoderm territories of two closely related sea urchin species in the genus Heliocidaris that differ in their developmental mode. Additionally, we explored a recently articulated idea about homology called ‘organizational homology’ (Muller 2003. In: Muller GB, Newman SA, (...) editors. Origination of organismal form: beyond the gene in developmental and evolutionary biology. Cambridge, MA: A Bradford Book, The MIT Press. p 51–69. ) in the context of this specific empirical case study. Applying the perspective of organizational homology to our experimental system of congeneric echinoids has led us to a new hypothesis concerning the ectoderm evolution in these species. The extravestibular ectoderm of the direct developer Heliocidaris erythrogramma is a novel developmental territory that arose as a fusion of the oral and aboral ectoderm territories found in indirect developing echinoids such as Heliocidaris tuberculata. This hypothesis instantiates a theoretical principle concerning the origin of developmental modules, ‘integration’, which has been neglected because the opposite theoretical principle, ‘parcellation’, is more readily observable in events such as gene duplication and divergence (Wagner 1996. Am Zool 36:36–43). J. Exp. Zool. (Mol. Dev. Evol.) 306B:18– 34, 2006. (shrink)

Dieses historische Buch kann zahlreiche Tippfehler und fehlende Textpassagen aufweisen. Kaufer konnen in der Regel eine kostenlose eingescannte Kopie des originalen Buches vom Verleger herunterladen (ohne Tippfehler). Ohne Indizes. Nicht dargestellt. 1910 edition. Auszug:...endliche als durch sie erzeugt; oder diese in jener involviert und aus ihr sich evolvierend. Der wahre Erzeuger der endlichen Grosse ist nicht die unendlichkleine" Grosse (das Unendlichkleine ware dem Grossenwert nach vielmehr Null), sondern es ist das Gesetz der Grosse (als Veranderlicher), das man sich nun wie (...) in einen Punkt zusammengezogen, d. h. fur den einzelnen Punkt ausgedruckt, oder an einer endlichen Erstreckung sich darstellend denken kann, das aber dem letzten Sachgehalt nach dasselbe ist fur den Punkt und die endliche Erstreckung, wenn es auch in Bezug auf beide verschiedene, im allgemeinen auseinander ableitbare Ausdrucke erhalten muss. Da aber die endliche Grosse uberhaupt von Punkt zu Punkt entstehend (d. h. veranderlich) gedacht wird, so ist insofern der punktuelle, d. h. infinitesimale Ausdruck der fundamentale, aus dem der extensionale gleichsam erst hervorwachst. Die Differenz entsteht eben von der Null an; nicht aus ihr; aus Null wird keine extensive Grosse; wohl aber von der Null, d. h. dem Nichtsein dessen, was werden soll, oder ganz schlicht1) vom Ausgangs wert an; woraus? Aus dem Gesetz; eine andere Antwort ist nicht zu geben und nicht zu verlangen. Durch dies Gesetz aber ist die Grosse als Eines, Identisches, im Unterschied von den sukzessiven Grossenwerten, also in ihrem Gattungsausdruck definiert. i) Vgl. oben S. 122. Fragt man also: wie soll aus der Null gewordenen, verschwundenen" Grosse die endliche Grosse wiederentstehen? so ist zu antworten: die Grosse zwar (yuantitas). (shrink)

A study of how syntax relates to meaning by a leader of the new generation of philosopher-linguists.

In a recent paper, Thomas Carnes develops a novel argument for reparations for historical injustices. This Reply shows that Carnes succeeds only at the cost of invoking an implausible formalism. The Reply also presents in brief a simpler argument for reparations.

JOURNAL OF THE HISTORY OF PHILOSOPHY PRIZE for the best published book in the history of philosophy [Awarded in 2010] _______________ -/- Although it is widely recognized that David Hume's A Treatise of Human Nature (1739-40) belongs among the greatest works of philosophy, there is little agreement about the correct way to interpret his fundamental intentions. It is an established orthodoxy among almost all commentators that skepticism and naturalism are the two dominant themes in this work. The difficulty has been, (...) however, that Hume's skeptical arguments and commitments appear to undermine and discredit his naturalistic ambition to contribute to "the science of man". This schism appears to leave his entire project broken-backed. The solution to this riddle depends on challenging another, closely related, point of orthodoxy: namely, that before Hume published the Treatise he removed almost all material concerned with problems of religion. Russell argues, contrary to this view, that irreligious aims and objectives are fundamental to the Treatise and account for its underlying unity and coherence. It is Hume's basic anti-Christian aims and objectives that serve to shape and direct both his skeptical and naturalistic commitments. When Hume's arguments are viewed from this perspective we can solve, not only puzzles arising from his discussion of various specific issues, we can also explain the intimate and intricate connections that hold his entire project together. This "irreligious" interpretation provides a comprehensive fresh account of the nature of Hume's fundamental aims and ambitions in the Treatise. It also presents a radically different picture of the way in which Hume's project was rooted in the debates and controversies of his own time, placing the Treatise in an irreligious or anti-Chrisitan philosophical tradition that includes Hobbes, Spinoza and freethinking followers. Considered in these terms, Hume's Treatise constitutes the crowning achievement of the Radical Enlightenment. (shrink)

Many of our most important goals require months or even years of effort to achieve, and some never get achieved at all. As social psychologists have lately emphasized, success in pursuing such goals requires the capacity for perseverance, or "grit." Philosophers have had little to say about grit, however, insofar as it differs from more familiar notions of willpower or continence. This leaves us ill-equipped to assess the social and moral implications of promoting grit. We propose that grit has an (...) important epistemic component, in that failures of perseverance are often caused by a significant loss of confidence that one will succeed if one continues to try. Correspondingly, successful exercises of grit often involve a kind of epistemic resilience in the face of failure, injury, rejection, and other setbacks that constitute genuine evidence that success is not forthcoming. Given this, we discuss whether and to what extent displays of grit can be epistemically as well as practically rational. We conclude that they can be (although many are not), and that the rationality of grit will depend partly on features of the context the agent normally finds herself in. In particular, grit-friendly norms of deliberation might be irrational to use in contexts of severe material scarcity or oppression. (shrink)

The twentieth century has witnessed an unprecedented 'crisis in the foundations of mathematics', featuring a world-famous paradox, a challenge to 'classical' mathematics from a world-famous mathematician, a new foundational school, and the profound incompleteness results of Kurt Gödel. In the same period, the cross-fertilization of mathematics and philosophy resulted in a new sort of 'mathematical philosophy', associated most notably with Bertrand Russell, W. V. Quine, and Gödel himself, and which remains at the focus of Anglo-Saxon philosophical discussion. The present collection (...) brings together in a convenient form the seminal articles in the philosophy of mathematics by these and other major thinkers. It is a substantially revised version of the edition first published in 1964 and includes a revised bibliography. The volume will be welcomed as a major work of reference at this level in the field. (shrink)

The current standard interpretation of Moore’s proof assumes Moore offers a solution to Kant’s famously posed problem of an external world, which Moore quotes at the start of his 1939 lecture “Proof of an External World.” As a solution to Kant’s problem, Moore’s proof fails utterly. Similarly, a second received interpretation imputes an aim of refuting metaphysical idealism that Moore’s proof does not at all achieve. This study departs from the received interpretations to credit Moore’s stated aim for the proof (...) Moore performed in his 1939 lecture that is to impose a counter-example to an explicitly stated presupposition of Kant’s famously posed problem of an external world. The outcome would therefore subvert Kant’s problem. There is not, however, any rival external world problem that Moore commends in place of Kant’s problem. (shrink)

In this chapter, we analyze the relationships between the Internet and its users in terms of situated cognition theory. We first argue that the Internet is a new kind of cognitive ecology, providing almost constant access to a vast amount of digital information that is increasingly more integrated into our cognitive routines. We then briefly introduce situated cognition theory and its species of embedded, embodied, extended, distributed and collective cognition. Having thus set the stage, we begin by taking an embedded (...) cognition view and analyze how the Internet aids certain cognitive tasks. After that, we conceptualize how the Internet enables new kinds of embodied interaction, extends certain aspects of our embodiment, and examine how wearable technologies that monitor physiological, behavioral and contextual states transform the embodied self. On the basis of the degree of cognitive integration between a user and Internet resource, we then look at how and when the Internet extends our cognitive processes. We end this chapter with a discussion of distributed and collective cognition as facilitated by the Internet. (shrink)

The current standard interpretation of Moore’s proof assumes he offers a solution to Kant’s famously posed problem of an external world, which Moore quotes at the start of his 1939 lecture “Proof of an External World.” As a solution to Kant’s problem, Moore’s proof would fail utterly. A second received interpretation imputes an aim of refuting metaphysical idealism that Moore’s proof does not at all achieve. This study departs from received interpretations to credit the aim Moore announced for the proof (...) Moore performed in his 1939 lecture. Moore’s aim was to impose a counter-example to a stated presupposition of Kant’s problem of an external world. Moore’s lecture nevertheless neither endorses a replacement for Kant’s problem nor acknowledges that an immediate implication of achieving his announced aim would subvert Kant’s famously posed problem of an external world. (shrink)

The evolution of development can be made accessible to study by exploiting closely related species that exhibit distinct ontogenies. The direct‐developing sea urchin Heliocidaris erythrogramma is closely related to indirect‐developing sea urchins that develop via a feeding larval stage. Superficial consideration would suggest that simple heterochronies resulting in loss of larval features and acceleration of adult features could explain the substitution of direct for indirect development. However, our experiments show that early development has in fact been extensively remodeled, with modified (...) localization of maternal determinants coupled with dissociation of cell cleavage from axis formation resulting in novel patterns of cell lineage differentiation and fate map. Gene expression has undergone concomitant changes. (shrink)

Multicellular organisms develop on a predictable schedule that depends on both cell‐intrinsic timers and sequential cell‐cell interactions mediated by extracellular signals. The interplay between intracellular timers and extracellular signals is well illustrated by the development of oligodendrocytes, the cells that make the myelin in the vertebrate central nervous system. An intrinsic timing mechanism operates in each oligodendrocyte precursor cell to limit the length of time the cell divides before terminally differentiating. This mechanism consists of two components, a timing component, which (...) depends on the mitogen platelet‐derived growth factor (PDGF) and measures elapsed time, and an effector component, which depends on thyroid hormone and stops cell division and initiates differentiation at the appropriate time. The cell‐cycle inhibitor p27/Kip1 accumulates in the precursor cells as they proliferate and is part of both components of the timer. It seems likely that similar timing mechanisms operate in other cell lineages. BioEssays 22:64–71, 2000. ©2000 John Wiley & Sons, Inc. (shrink)

For over twenty years, Paul Weithman has explored the thought of John Rawls to ask how liberalism can secure the principled allegiance of those people whom Rawls called 'citizens of faith'. This volume brings together ten of his major essays, which reflect on the task and political character of political philosophy, the ways in which liberalism does and does not privatize religion, the role of liberal legitimacy in Rawls's theory, and the requirements of public reason. The essays reveal Rawls (...) as a thinker deeply engaged with political and existential questions that trouble citizens of faith, and explore how - in firm opposition to political realism - he tries to show that the possibility of liberal democracy and the natural goodness of humanity are objects of reasonable faith. The volume will be of interest to political philosophers, political theorists, moral theologians, and religious ethicists. (shrink)

The first study of this ancient text in over 70 years, Rituals of the Way explores how the Xunzi influenced Confucianism and other Chinese philosophies through its emphasis on "the Way.".

The twentieth century has witnessed an unprecedented 'crisis in the foundations of mathematics', featuring a world-famous paradox (Russell's Paradox), a challenge to 'classical' mathematics from a world-famous mathematician (the 'mathematical intuitionism' of Brouwer), a new foundational school (Hilbert's Formalism), and the profound incompleteness results of Kurt Gödel. In the same period, the cross-fertilization of mathematics and philosophy resulted in a new sort of 'mathematical philosophy', associated most notably (but in different ways) with Bertrand Russell, W. V. Quine, and Gödel himself, (...) and which remains at the focus of Anglo-Saxon philosophical discussion. The present collection brings together in a convenient form the seminal articles in the philosophy of mathematics by these and other major thinkers. It is a substantially revised version of the edition first published in 1964 and includes a revised bibliography. The volume will be welcomed as a major work of reference at this level in the field. (shrink)

Despite pervasive variation in the content of laws, legal theorists and anthropologists have argued that laws share certain abstract features and even speculated that law may be a human universal. In the present report, we evaluate this thesis through an experiment administered in 11 different countries. Are there cross‐cultural principles of law? In a between‐subjects design, participants (N = 3,054) were asked whether there could be laws that violate certain procedural principles (e.g., laws applied retrospectively or unintelligible laws), and also (...) whether there are any such laws. Confirming our preregistered prediction, people reported that such laws cannot exist, but also (paradoxically) that there are such laws. These results document cross‐culturally and –linguistically robust beliefs about the concept of law which defy people's grasp of how legal systems function in practice. (shrink)

According to the subset account of realization, a property, F, is realized by another property, G, whenever F is individuated by a non-empty proper subset of the causal powers by which G is individuated (and F is not a conjunctive property of which G is a conjunct). This account is especially attractive because it seems both to explain the way in which realized properties are nothing over and above their realizers, and to provide for the causal efficacy of realized properties. (...) It therefore seems to provide a way around the causal exclusion problem. There is reason to doubt, however, that the subset account can achieve both tasks. The problem arises when we look closely at the relation between properties and causal powers, specifically, at the idea that properties confer powers on the things that have them. If realizers are to be ontically prior to what they realize, then we must regard the conferral of powers by properties as a substantive relation of determination. This relation of conferral is at the heart of a kind of exclusion problem, analogous to the familiar causal exclusion problem. I argue that the subset account cannot adequately answer this new exclusion problem, and is for that reason ill-suited to be the backbone of a non-reductive physicalism. (shrink)

Although thinkers of the past might have started from presumptions of fundamental difference and inequality between (say) the genders, or people of different races, this is no longer the case. At least in mainstream political philosophy, we are all now presumed to be, in some fundamental sense, basic equals. Of course, what follows from this putative fact of basic equality remains enormously controversial: liberals, libertarians, conservatives, Marxists, republicans, and so on, continue to disagree vigorously with each other, despite all presupposing (...) some kind of basic equality. They may argue about who gets what, how much, and why, but the starting point - that all people are in some sense deserving of prima facie equal consideration - has become an axiom of our moral and political thinking. But why? Why are we basic equals? The trouble is that as soon as one asks for an explanation of this foundational premise, it begins to look shaky. After all, on any conceivable metric human beings are notably unequal, and often to striking degrees. Philosophers in this area tend to talk of equal worth, but often without trying to specify what exactly that means. Philosophically, basic equality is neither acceptable nor rejectable. It is not rejectable because we appear to be, as a matter of fact, profoundly committed to the truth of the claim that we are all one another's basic equals. But to the extent that there appear to be no philosophical arguments for believing in the truth of basic equality, it is not acceptable either. The aim of this book is to try and show why basic equality is acceptable. To do so, however, it will also contend that we need to approach the question rather differently to how it has mostly been handled so far. What's required is an exercise in what Bernard Williams called 'impure philosophy': it must include insights from other areas of human intellectual endeavour, whether psychology and history or even what we learn from how we go about practicing basic equality in our collective lives. (shrink)