While Bernard Suits's understanding of games has significantly influenced the philosophy of sport, the longest sustained investigation in The Grasshopper is of make-believe and roleplaying games. Suits’s discussion of make-believe and roleplaying is found in chapters 9 through 12, but what he says there is uncharacteristically unclear. To clarify Suits’s account, the present paper distinguishes between two arguments that Suits interweaves. In the first, Suits argues that game playing is not a species of play. In the second, Suits argues that (...) playing a make-believe or role-playing game is the same — at heart — as playing a game of any type. While the paper takes no position on the former, it defends the latter argument against several important objections by Thomas Hurka and C. Thi Nguyen. It contends, furthermore, that Suits is not simply trying to show that his theory of game playing can account for make-believe and roleplaying games. Rather, Suits is also using make-believe and roleplaying games to clarify exactly how his theory of game playing should be understood. (shrink)

Drawing on recently published correspondence as well as on a survey of Polish and international philosophical activity published in 1937 and details concerning the publisher and bookseller Aleksander Mazzucato, I provide evidence that, contrary to some recent assertions (but in line with older bibliographical entries), Tarski's ‘Der Wahrheitsbegriff in den formalisierten Sprachen’ was not published in journal form until 1936, although preprints, lacking two corrections and a small addendum, were likely available in the late months of 1935.

Essays discuss the themes of worldliness, affectedness, understanding, and the care-structure found in Heidegger's work on the nature of existence.

This book traces the development of conceptions of God and the relationship between God's being and activity from Aristotle, through the pagan Neoplatonists, to thinkers such as Augustine, Boethius and Aquinas and Dionysius the Areopagite, Maximus the Confessor and Gregory Palamas. The result is a comparative history of philosophical thought in the two halves of Christendom, providing a philosophical backdrop to the schism between the Eastern and Western Churches.

The notion of the ‘division of physiological labour’ is today an outdated relic in the history of science. This contrasts with the fate of another notion, which was so frequently paired with the division of physiological labour, which is the concept of ‘morphological differentiation.’ This is one of the elementary modal concepts of ontogenesis. In this paper, we intend to target the problems and causes that gradually led biologists to combine these two notions during the 19th century, and (...) to progressively dissociate them, retaining only the concept of differentiation by the early 20th century. We shall adhere to the following: 1. The primitive economic concept of the division of labour is not a descriptive notion denoting a type of organisation of labour, but an etiological one: the idea of a causal relationship between this type of organization and the improvement of the whole. 2. This concept rapidly interested naturalists such as Henri Milne-Edwards, who were keen to find a rational ground for hierarchizing living forms based on anatomical complexity. 3. The validation of this notion in the realms of biology was subject to at least two conditions which were far from being fully satisfied. This did not prevent, however, the initial success of the concept of the division of physiological labour during the second half of the 19th century. 4. Finally, the gradual disqualification, within the Darwinian theoretical context, of the conception of an intrinsic hierarchical rank of organisms, led to a lack of interest in the concept of the physiological division of labour, at least in its non-Darwinian and non-ecological variant. (shrink)

This paper analyzes criteria of fair division of a set of indivisible items among people whose revealed preferences are limited to rankings of the items and for whom no side payments are allowed. The criteria include refinements of Pareto optimality and envy-freeness as well as dominance-freeness, evenness of shares, and two criteria based on equally-spaced surrogate utilities, referred to as maxsum and equimax. Maxsum maximizes a measure of aggregate utility or welfare, whereas equimax lexicographically maximizes persons' utilities from smallest (...) to largest. The paper analyzes conflicts among the criteria along with possibilities and pitfalls of achieving fair division in a variety of circumstances. (shrink)

In Plato’s Statesman, the Eleatic Stranger applies a specialized method of inquiry—the “method of collection and division”, or “method of division”—in order to discover the nature of statecraft. This paper articulates some consequences of the fact that the method is both a tool for identifying natural kinds—that is, a tool for carving the world by its joints (Phaedrus 265b-d)—and social kinds—that is, the kinds depending on human beings for their existence and explanation. A central goal of the paper (...) is to illuminate the extent to which this use of the method of division allows us to identify Plato as an early historical forerunner of racialism, which is an ideology according to which humanity divides into races differentiated by heritable physiological, cultural, and intellectual traits, as a way of vindicating oppressive and exploitative social, political, and economic systems. -/- I defend an interpretation of the Stranger’s claim, much discussed in the literature, that the division of humankind into Greek and barbarian is unnatural (Politicus 262c-263a). I argue that, in the Stranger’s view, this division reflects subjective illusion and prejudice, rather than the fundamental, and teleological, structure of human social organization, which concerns how human beings rationally cooperate to self-produce as a species. Nonetheless, the Stranger’s alternative theory of the natural structure of human society, I suggest, is proto-racial in another way. Through a brief consideration of the Stranger’s affirmative and complex division of kinds in the city, I argue that he re-introduces naturalistic foundations for unjust human hierarchies through his alternative theory of natural kinds and human social teleology. (shrink)

It seems that different epistemic norms can come into conflict and so we might wonder what happens when they do impose incompatible requirements upon us. According to the dilemmic view, they might sometimes generate sets of requirements that cannot be satisfied, ensuring that there is no rationally acceptable way for a thinker to deal with the predicament she’s in. After reviewing the case for the dilemmic view, I introduce an alternative framework that accounts for the appearance of dilemma-like conflicts without (...) committing us to the possibility of genuine dilemmas. I argue that this alternative view has some important explanatory virtues that the dilemmic view lacks and can account for the problematic intuitions that seem to support the dilemmic view. (shrink)

‘In the beginning was the word And the word was aardvark’Oulipo, Aux origines du langage, Bibliothéque oulipienne no. 121First I think I should explain that call. It echoed in my ears for the first time a very long time ago and far, far away: on the Roof of the World, the Afghan Pamir, more than 30 years ago. It was uttered by a Kirghiz shepherd following a herd of sheep. Even if it is not in fact possible to transcribe that (...) call accurately - the combination of the phonetic parameters that determine it would necessitate a representation using a graph or numerical matrices - I will attempt to give it a written shape, HAY, while admitting that this transcription denotes an abstraction that subsumes many possible realizations. But be that as it may. A few years later, when I was living in the Haut-Livradois, in the deepest heart of rural France, I was surprised to hear that call again on the lips of an Auvergnat peasant who was taking his sheep to the meadow. This unlikely coincidence led me to take a closer interest in the problem of communication between humans and animals. It is the essence of that thinking that I would today like to pass on to the readers of Diogenes in an issue devoted to the East/West contrast. (shrink)

How do scientists generate knowledge in groups, and how have they done so in the past? How do epistemically motivated social interactions influence or even drive this process? These questions speak to core interests of both history and philosophy of science. Idealised models and formal arguments have been suggested to illuminate the social epistemology of science, but their conclusions are not directly applicable to scientific practice. This paper uses one of these models as a lens and historiographical tool in the (...) examination of actual scientific collectives. It centres on the analysis of two episodes from the history of photosynthesis research of the late nineteenth- to mid-twentieth centuries, which display a wide and coordinated intellectual diversity similar to Kitcher’s “division of cognitive labour”. The concept, I argue, captures important aspects of the photosynthesis research communities, but the underlying process unfolded in ways that differ from the model’s assumption in interesting ways. The paper unravels how the self-organised interplay of cooperation and competition, and the dynamics of individual and collective goals within scientific communities were influential factors in the generation of knowledge. From there, some thoughts are developed on how historical and philosophical approaches in the analysis of science can productively interact. (shrink)

Free Trade Reimagined begins with a sustained criticism of the heart of the emerging world economy, the theory and practice of free trade. Roberto Mangabeira Unger does not, however, defend protectionism against free trade. Instead, he attacks and revises the terms on which the traditional debate between free traders and protectionists has been joined. Unger's intervention in this major contemporary debate serves as a point of departure for a proposal to rethink the basic ideas with which we explain economic activity. (...) He suggests, by example as well as by theory, a way of understanding contemporary economies that is both more realistic and more revealing of hidden possibilities for transformation than are the established forms of economics. One message of the book is that we need not choose between accepting and rejecting globalization; we can have a different globalization. Traditional free trade doctrine rests on shaky empirical and theoretical ground. Unger takes a new approach to show when international trade is likely to be useful or harmful to the socially inclusive economic growth that every nation wants. Another message is that the movement of people and ideas is more important than the movement of things and money, and that freedom to change the institutions defining a market economy is just as important as freedom to exchange goods on the basis of those institutions. Free Trade Reimagined ranges broadly within and outside economics. Presenting technical issues in plain language, it appeals to the general reader. It puts a disciplined imagination in the service of rebellion against the dictatorship of no alternatives that characterizes life and thought today. (shrink)

My claim is that despite powerful arguments to the contrary, a coherent moral distinction between the jus in bello code and the jus ad bellum code can be sustained. In particular, I defend the traditional just war doctrine according to which the independence between the in bello and ad bellum codes reflects the moral equality between just and unjust combatants and between just and unjust non-combatants. In order to establish this, I construe an in bello proportionality condition which can be (...) satisfied by just and unjust combatants alike. (shrink)

In this article we revisit a number of disputes regarding significance logics---i.e., inferential frameworks capable of handling meaningless, although grammatical, sentences---that took place in a series of articles most of which appeared in the Australasian Journal of Philosophy between 1966 and 1978. These debates concern (i) the way in which logical consequence ought to be approached in the context of a significance logic, and (ii) the way in which the logical vocabulary has to be modified (either by restricting some notions, (...) or by adding some vocabulary) to keep as much of Classical Logic as possible. Our aim is to show that the divisions arising from these disputes can be dissolved in the context of a novel and intuitive proposal that we put forward. (shrink)

We further investigate a divisibility relation on the set of BN ultrafilters on the set of natural numbers. We single out prime ultrafilters (divisible only by 1 and themselves) and establish a hierarchy in which a position of every ultrafilter depends on the set of prime ultrafilters it is divisible by. We also construct ultrafilters with many immediate successors in this hierarchy and find positions of products of ultrafilters.

Justice makes demands upon us. But these demands, important though they may be, are not the only moral demands that we face. Our lives ought to be responsive to other values too. However, some philosophers have identified an apparent tension between those values and norms, such as justice, that seem to transcend the arena of small-scale interpersonal relations and those that are most at home in precisely that arena. How, then, are we to engage with all of the values and (...) norms that we take to apply to us? In this article, I discuss one way that we might hope to resolve the tension and its relation to John Rawls's `basic structure restriction'. The prospect of resolution is offered by the idea of a `division of moral labour', according to which the pursuit of certain values is assigned to institutions and not to individuals. According to Rawls's basic structure restriction, principles of justice are applicable only to the institutions of the basic structure of society. The possibility of a connection between the division of moral labour and the basic structure restriction readily suggests itself. Taking G.A. Cohen's well-known `incentives' critique of the basic structure restriction as a starting point, I consider five ways in which that restriction might be defended by appeal to the division of moral labour. I conclude that none of these defences succeeds, for none convinces that the conditions in which it makes sense to apply the division of moral labour idea obtain for Rawls's conception of distributive justice. Although the division of moral labour is an attractive proposal, it can do no work in a Rawlsian context. Key Words: Cohen • distributive justice • egalitarian ethos • equality • Rawls. (shrink)

We now take for granted that despite the disproportionate contribution of females to initial growth of their progeny, there is little or no asymmetry in the contribution of males and females to the eventual character of their shared offspring. In fact, this key insight was only established towards the end of the eighteenth century by Joseph Koelreuter's pioneering plant breeding experiments. If males and females supply equal amounts of hereditary material, then the latter must double each time an embryo is (...) conceived. How then does the amount of this mysterious stuff not multiply exponentially from generation to generation? A compensatory mechanism for diluting the hereditary material must exist, one that ensures that if each parent contributes one half, each grandparent contributes a quarter, and each great grandparent merely an eighth. An important piece of the puzzle of how hereditary material is diluted at each generation has been elucidated over the past ten years. (shrink)

This chapter focuses on one of the common fallacies in Western philosophy called 'division'. The fallacy of division occurs when one incorrectly infers that the characteristics, attributes, or features of the group as a whole will also be found in the individuals comprising the group. The easiest way to avoid this fallacy is never to assume that the characteristics, attributes, or features of the group as a whole will also be found in the individuals comprising the group. One (...) must inspect and evaluate the characteristics, attributes, or features of the whole separately from the parts of which the whole is comprised. Inferences from a whole to a part can be made, however, if additional assumptions are added to the argument that link together the property had by the whole with the property had by the part. (shrink)

The phenomenon of twinning in early fetal development has become a popular source for doubt regarding the ascription of moral status to early embryos. In this paper, the possible moral basis for such a line of reasoning is critically analysed with sceptical results. Three different versions of the argument from twinning are considered, all of which are found to rest on confusions between the actual division of embryos involed in twinning and the property of early embryos to be divisible, (...) be based on highly questionable ethical assumptions, or to imply inconsistent claims regarding the moral importance of potentiality and/or the moral status of embryos. This is taken to expose a number of related inconsistencies in the moral basis of pro-life positions. In particular, ascribing moral significance to the property of being (in)divisible is found to be incompatible with the claim that human individuals possess unique values which could underpin an absolute moral ban on murder. (shrink)

In the Critique of Fure Reason Kant distinguishes two sorts of conditions of knowledge. First, there are the space and time of pure intuition, introduced in the Transcendental Aesthetic. They are grounded in our dependence on a special sort of perceptual field for the location of objects. Second, there are pure concepts of the understanding, or categories, introduced in the Analytic. In one respect these are grounded in the logical function of the understanding in judgements, introduced in the first chapter (...) of the analytic of concepts: Clue to the Discovery of All Pure Concepts of the Understanding; in another respect, they are grounded in transcendental unity of apperception, which is introduced in the second chapter: Deduction of the Pure Concepts of the Understanding, or Transcendental Deduction. I shall be concerned with the latter and its contribution to the overall strategy of argument in the analytic. Within the Analytic, Kant distinguishes between an Analytic of Concepts and an Analytic of Principles. This corresponds to a traditional distinction between a doctrine of concepts and judgement. It is arguable that Kant's theory of concepts undermines this distinction. However, I shall not deal with that general issue, but with a more specific issue related to the first two chapters of the Analytic of Principles: the Schematism and the System of Principles. (shrink)

Cutting a cake, dividing up the property in an estate, determining the borders in an international dispute - such problems of fair division are ubiquitous. Fair Division treats all these problems and many more through a rigorous analysis of a variety of procedures for allocating goods, or deciding who wins on what issues, when there are disputes. Starting with an analysis of the well-known cake-cutting procedure, 'I cut, you choose', the authors show how it has been adapted in (...) a number of fields and then analyze fair-division procedures applicable to situations in which there are more than two parties, or there is more than one good to be divided. In particular they focus on procedures which provide 'envy-free' allocations, in which everybody thinks he or she has received the largest portion and hence does not envy anybody else. They also discuss the fairness of different auction and election procedures. (shrink)

We introduceself-divisibleultrafilters, which we prove to be precisely those$w$such that the weak congruence relation$\equiv _w$introduced by Šobot is an equivalence relation on$\beta {\mathbb Z}$. We provide several examples and additional characterisations; notably we show that$w$is self-divisible if and only if$\equiv _w$coincides with the strong congruence relation$\mathrel {\equiv ^{\mathrm {s}}_{w}}$, if and only if the quotient$(\beta {\mathbb Z},\oplus )/\mathord {\mathrel {\equiv ^{\mathrm {s}}_{w}}}$is a profinite group. We also construct an ultrafilter$w$such that$\equiv _w$fails to be symmetric, and describe the interaction between the (...) aforementioned quotient and the profinite completion$\hat {{\mathbb Z}}$of the integers. (shrink)

The question of the division of cognitive labor has given rise to various models characterizing the way scientists should distribute their efforts. These models often consider the scientific community as a self-governed sphere constituted by rational agents making choices on the basis of fixed rules. Such models have recently been criticized for not taking into account the real mechanisms of science funding. Hence, the question of the utility of the DCL models in guiding science policy remains an open one. (...) In this paper, we show that two unconsidered dimensions would have to be taken into account. First, DCL studies miss the existence of distinct levels of epistemic objectives organizing the research process. Indeed, the scientific field is structured as a system of hierarchical, interconnected practices which are defined both by their inherent purposes and by various superposed external functions. Second, I criticize the absence of ontological considerations, since the epistemological significance of pluralism is highly dependent on the nature of the object under study. Because of these missing dimensions, current DCL models might have a limited usefulness to identify good practices of research governance. (shrink)

Recent debates over adults' theory of mind use have been fueled by surprising failures of perspective-taking in communication, suggesting that perspective-taking may be relatively effortful. Yet adults routinely engage in effortful processes when needed. How, then, should speakers and listeners allocate their resources to achieve successful communication? We begin with the observation that the shared goal of communication induces a natural division of labor: The resources one agent chooses to allocate toward perspective-taking should depend on their expectations about the (...) other's allocation. We formalize this idea in a resource-rational model augmenting recent probabilistic weighting accounts with a mechanism for (costly) control over the degree of perspective-taking. In a series of simulations, we first derive an intermediate degree of perspective weighting as an optimal trade-off between expected costs and benefits of perspective-taking. We then present two behavioral experiments testing novel predictions of our model. In Experiment 1, we manipulated the presence or absence of occlusions in a director–matcher task. We found that speakers spontaneously modulated the informativeness of their descriptions to account for “known unknowns” in their partner's private view, reflecting a higher degree of speaker perspective-taking than previously acknowledged. In Experiment 2, we then compared the scripted utterances used by confederates in prior work with those produced in interactions with unscripted directors. We found that confederates were systematically less informative than listeners would initially expect given the presence of occlusions, but listeners used violations to adaptively make fewer errors over time. Taken together, our work suggests that people are not simply “mindblind”; they use contextually appropriate expectations to navigate the division of labor with their partner. We discuss how a resource-rational framework may provide a more deeply explanatory foundation for understanding flexible perspective-taking under processing constraints. (shrink)

A number of philosophers maintain that the destruction of an embryo in the first 2 weeks after fertilization is not morally problematic as it is metaphysically impossible for any human organism to then have existed. We contend that the typical adult human organism was once a zygote so there is no metaphysical shortcut to justify early abortion. We show that five arguments against human organisms ever having been zygotes fail. All of the arguments have to do with one variant or (...) another of the zygote or early embryo dividing. They do not provide any reason to believe that since some adult organisms are not identical to zygotes due to earlier divisions, none could have been. (shrink)

The UK-based deliberations that led up to the legalisation of two new ‘mitochondrial donation’ techniques in 2015, and which continued after that time as regulatory details were determined, featured a division of advisory labour that is common when decisions are made about new technologies. An expert panel was convened by the Human Fertilisation and Embryology Authority, charged with assessing the scientific and technical aspects of these techniques. Meanwhile, the Nuffield Council on Bioethics addressed the ethical issues. While this (...) class='Hi'>division of labour was undertaken in the name of thoroughness, I argue here that it can have the unintended consequence that hybrid questions that simultaneously involve ethical and technical aspects—especially questions about where to set evidential thresholds for the acceptance of new technology—do not receive enough attention. (shrink)

Quantum theory may be formulated using Hilbert spaces over any of the three associative normed division algebras: the real numbers, the complex numbers and the quaternions. Indeed, these three choices appear naturally in a number of axiomatic approaches. However, there are internal problems with real or quaternionic quantum theory. Here we argue that these problems can be resolved if we treat real, complex and quaternionic quantum theory as part of a unified structure. Dyson called this structure the ‘three-fold way’. (...) It is perhaps easiest to see it in the study of irreducible unitary representations of groups on complex Hilbert spaces. These representations come in three kinds: those that are not isomorphic to their own dual (the truly ‘complex’ representations), those that are self-dual thanks to a symmetric bilinear pairing (which are ‘real’, in that they are the complexifications of representations on real Hilbert spaces), and those that are self-dual thanks to an antisymmetric bilinear pairing (which are ‘quaternionic’, in that they are the underlying complex representations of representations on quaternionic Hilbert spaces). This three-fold classification sheds light on the physics of time reversal symmetry, and it already plays an important role in particle physics. More generally, Hilbert spaces of any one of the three kinds—real, complex and quaternionic—can be seen as Hilbert spaces of the other kinds, equipped with extra structure. (shrink)

It is shown that a stable division ring with positive characteristic has finite dimension over its centre. This is then extended to simple division rings.

The Renaissance perspective represents the three-dimensional space onto a bi-dimensional one. This cultural construction, which unifies real and virtual, like all simulations, has some limitations – the main one is that it only works from a precise viewpoint that rules the illusion. When moving away from this position the illusion becomes imperfect. Similar to physics, where reality depends on the observer’s position, perspective depends on the viewer’s position. Since perspective has been inherited by photography, cinema, video, computer images, virtual reality, (...) 3D videogames, we live in a perspective-based culture. In perception the boundaries between opposite qualities are often blurred and even indistinguishable. A screen is generally considered as rectangular, but it can be viewed as really rectangular only from its central perpendicular axis, at the crossing of the diagonals. When moving from this position it should appear as trapezoidal, but people still say it is rectangular: because they see it as rectangular or because they know it is rectangular? This threshold between vision and knowledge is imperceptible and obscure. Something similar happens with the senses. They are considered as separate entities: touch, hear, sight, smell and taste are described as distinct ways to detect the phenomenal world. But they are intermingled; the boundaries that are supposed to separate them are apparent: they are logically separable but not separate. The sensorial system is a cohesive and interrelated continuum where the senses act in synergy with each other. Continuity and discreteness, indistinguishability and distinction, inseparability and division are qualities to individuate, describe, classify and/or communicate the phenomena. These qualities are both theoretical and technical, since they depend on the general perspective of the analysis, on the goals to pursue, on the scale at which the phenomena are observed and on the accuracy of the instruments that are used. (shrink)

In this paper, we address an infamous argument against divisibility that dates back to Zeno. There has been an incredible amount of discussion on how to understand the critical notions of divisibility, extension, and infinite divisibility that are crucial for the very formulation of the argument. The paper provides new and rigorous definitions of those notions using the formal theories of parthood and location. Also, it provides a new solution to the paradox of divisibility which does not face some threats (...) that can possibly undermine the standard Lebesgue measure solution to such a paradox. (shrink)

La dualité.objectif-subjectif constitue pour le dualisme une structure a priori par essence : ceci se vérifie aussi bien avec le couple contemporain de l'en-soi et du pour-soi qu'avec, sur une autre base, le couple cartésien de la chose étendue et de la chose pensante. Dans le champ théorique actuel règne, de facto, un double monisme juxtaposé qui se partage entre le réductionnisme phénoménologique et celui du néomatérialisme, aussi systématiques l'un que l'autre. Aussi la difficulté générale inhérente au dualisme, loin de (...) disparaître avec cette scission, a-t-elle pris une forme nouvelle. Au lieu de se réduire à une expérience subjective pure (comme dans la phénoménologie) ou à la seule expérience objective (dont se réclame l'explication néomatérialiste), l'auteur du présent essai explore une voie nouvelle pour interpréter la dualité du côté de l'ontologie, grâce à une division préalable et proprement ontologique. La détermination du fondement de cette dualité ne doit plus relever de l'expérience (toujours particulière), mais d'une déduction plus générale."--Page 4 of cover. (shrink)

Most of what is told in this paper has been told before by the same author, in a number of publications of various kinds, but this is the first time that all this material has been brought together and treated in a uniform way. Smaller errors in the earlier publications are corrected here without comment. It has been known since the 1920s that quadratic equations played a prominent role in Babylonian mathematics. See, most recently, Høyrup (Hist Sci 34:1–32, 1996, and (...) Lengths, widths, surfaces: a portrait of old Babylonian algebra and its kin. Springer, New York, 2002). What has not been known, however, is how quadratic equations came to play that role, since it is difficult to think of any practical use for quadratic equations in the life and work of a Babylonian scribe. One goal of the present paper is to show how the need to find solutions to quadratic equations actually arose in Mesopotamia not later than in the second half of the third millennium BC, and probably before that in connection with certain geometric division of property problems. This issue was brought up for the first time in Friberg (Cuneiform Digit Lib J 2009:3, 2009). In this connection, it is argued that the tool used for the first exact solution of a quadratic equation was either a clever use of the “conjugate rule” or a “completion of the square,” but that both methods ultimately depend on a certain division of a square, the same in both cases. Another, closely related goal of the paper is to discuss briefly certain of the most impressive achievements of anonymous Babylonian mathematicians in the first half of the second millennium BC, namely recursive geometric algorithms for the solution of various problems related to division of figures, more specifically trapezoidal fields. For an earlier, comprehensive (but less accessible) treatment of these issues, see Friberg (Amazing traces of a Babylonian origin in Greek mathematics. WorldScientific, Singapore 2007b, Ch. 11 and App. 1). (shrink)