Volume 46, Issue 1, February 2025, Page 135-137.

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.

We establish a correspondence between the holographic chain R⁺ → S² → M⁴ → Gr(2,4)_C and the Cayley–Dickson construction R → C → H → O of the four normed division algebras. Each holographic projection introduces a shadow symmetry—an anti-linear involution doubling the ambient dimension—identified with the conjugation in the corresponding Cayley–Dickson step. The Mellin transform implements R → C via s ↔ 1−s; celestial holography implements C → H via Δ ↔ 2−Δ; time reversal implements H → O (...) via the conjugate Hodge star on Gr(2,4). We prove that the Plücker relation is equivalent to algebraic balance between self-dual and anti-self-dual components, and that the orthogonal complement acts on Plücker coordinates as the conjugate Hodge star with a pure phase. The chain terminates at dim = 8 because Gr(2,4)_C is compact (χ = 6), providing a geometric interpretation of Hurwitz's theorem. The dictionary Δ = 2s cascades with critical parameter d/2: 1/2 → 1 → 2 → 4. Via SL(4,C) ≅ Spin(6,C) ⊂ Spin(8,C), the framework connects to triality and three fermion generations. All instances of the ratio 3/8 in physics trace to dim(Im(H))/dim(O). Numerical verification of all proven claims is provided to machine precision. A new cohomological derivation is given: the Hasse–Weil zeta function of Gr(2,4) over Q decomposes as ζ_Gr(s) = ζ(s)·ζ(s−1)·ζ(s−2)²·ζ(s−3)·ζ(s−4), identifying the Riemann zeta function as the H⁰ factor; under Δ = 2s (forced by the Plücker weight k = 2), the Riemann functional equation s ↔ 1−s becomes the shadow transform Δ ↔ 2−Δ. (shrink)

Because of its complexity, contemporary scientific research is almost always tackled by groups of scientists, each of which works in a different part of a given research domain. We believe that understanding scientific progress thus requires understanding this division of cognitive labor. To this end, we present a novel agent-based model of scientific research in which scientists divide their labor to explore an unknown epistemic landscape. Scientists aim to climb uphill in this landscape, where elevation represents the significance of (...) the results discovered by employing a research approach. We consider three different search strategies scientists can adopt for exploring the landscape. In the first, scientists work alone and do not let the discoveries of the community as a whole influence their actions. This is compared with two social research strategies, which we call the follower and maverick strategies. Followers are biased towards what others have already discovered, and we find that pure populations of these scientists do less well than scientists acting independently. However, pure populations of mavericks, who try to avoid research approaches that have already been taken, vastly outperform both of the other strategies. Finally, we show that in mixed populations, mavericks stimulate followers to greater levels of epistemic production, making polymorphic populations of mavericks and followers ideal in many research domains. (shrink)

Some scientists are happy to follow in the footsteps of others; some like to explore novel approaches. It is tempting to think that herein lies an epistemic division of labor conducive to overall scientific progress: the latter point the way to fruitful areas of research, and the former more fully explore those areas. Weisberg and Muldoon’s model, however, suggests that it would be best if all scientists explored novel approaches. I argue that this is due to implausible modeling choices, (...) and I present an alternative ‘epistemic landscape’ model that demonstrates the alleged benefits from division of labor, with one restriction. (shrink)

This chapter focuses on the method of division as developed by Plato in the _Sophist_ and in the _Politicus_, and examines the ways in which Plato engages in these dialogues with important problems in the method itself. It notes a number of important and little-studied modifications to the method of division which Plato develops in these dialogues. The chapter contains detailed discussion of all the instances of definition by division considered in these two dialogues.

In epistemology and the philosophy of science, there has been an increasing interest in the social aspects of belief acquisition. In particular, there has been a focus on the division of cognitive labor in science. This essay explores several different models of the division of cognitive labor, with particular focus on Kitcher, Strevens, Weisberg and Muldoon, and Zollman. The essay then shows how many of the benefits of the division of cognitive labor flow from leveraging agent diversity. (...) The essay concludes by examining the benefits and burdens of diversity, particularly in the evaluative diversity that can be found in interdisicplinary science. (shrink)

In the Statesman (287c3-5), Plato proposes that the philosophical divider should divide analogously to how the butcher divides a sacrificial animal. According to the common interpretation, the example of animal sacrifice illustrates that we should “cut off limbs” (kata mele), that is, divide non-dichotomously into functional parts of a living whole. We argue that this interpretation is historically inaccurate and philosophically problematic: it relies on an inaccurate understanding of sacrificial butchery and leads to textual puzzles. Against the common interpretation, we (...) argue that the example of animal sacrifice illustrates that correct division minimizes (it cuts into the smallest number possible) by first dividing dichotomously and then dividing non-dichotomously into “parts,” not “limbs.” We will show that both the philosophical divider and sacrificial butcher proceed exactly in this way. By taking Plato’s comparison to the historical practice of animal sacrifice seriously, our interpretation provides better solutions to the textual puzzles than the common interpretation. (shrink)

Clayton and Stevens argue that political liberals should engage with the religiously unreasonable by offering religious responses and showing that their religious views are mistaken, instead of refusing to engage with them. Yet they recognize that political liberals will face a dilemma due to such religious responses: either their responses will alienate certain reasonable citizens, or their engagements will appear disingenuous. Thus, there should be a division of justificatory labour. The duty of engagement should be delegated to religious citizens. (...) In this comment, I will argue that the division of justificatory labour is indefensible. This dilemma can be avoided if politicians and political philosophers correctly use conjecture, a form of discourse that involves non-public reason. As a conditional response, conjecture avoids alienating any reasonable citizens. Also, if conjecture is given in a sincere and open-minded manner, then the problem of disingenuousness can be overcome. My comment concludes that while the engagement of politicians and political philosophers does not necessarily jeopardize overlapping consensus, they should be permitted, or perhaps even required, to engage with the religiously unreasonable due to the natural duty of justice. (shrink)

We prove that the computational successes of string theory are consequences of two mathematical structures: the four normed division algebras and the axioms of two-dimensional conformal field theory. Eight results are established. (1) The Green-Schwarz critical dimensions D in {3,4,6,10} are classified by normed division algebras via the Hurwitz theorem. (2) The Veneziano amplitude and the celestial MHV coefficient are both uniquely fixed by Haar measure on (R+,x). (3) Shadow symmetry Delta<->2-Delta and T-duality R<->alpha'/R are both induced by (...) the unique involutive automorphism t->1/t of (R+,x). (4) The KLT double-copy relation is the amplitude-level consequence of the Sugawara construction. (5) Anomaly cancellation on Gr(2,4) forces exactly three fermion generations. (6) All four-dimensional black hole entropies are reproduced by the Cardy formula applied to the near-horizon 2d CFT, without strings. (7) The Veneziano Regge tower is the off-principal-series (complementary series) component of the Mellin spectral decomposition. (8) The celestial CFT is the unique infrared fixed point of any consistent 4D quantum gravity with the Standard Model. (shrink)

In this article we discuss what we call the deliberative division of epistemic labor. We present evidence that the human tendency to engage in motivated reasoning in defense of our beliefs can facilitate the occurrence of divisions of epistemic labor in deliberations among people who disagree. We further present evidence that these divisions of epistemic labor tend to promote beliefs that are better supported by the evidence. We show that promotion of these epistemic benefits stands in tension with what (...) extant theories in epistemology take rationality to require in cases of disagreement. We argue that the epistemic benefits that result from the deliberative division of epistemic labor can provide epistemic reason to maintain confidence in cases of disagreement. We then show that the deliberative division of epistemic labor constitutes a distinct kind of epistemic dependence. (shrink)

Some scientists are happy to follow in the footsteps of others; some like to explore novel approaches. It is tempting to think that herein lies an epistemic division of labor conducive to overall scientific progress: the latter point the way to fruitful areas of research, and the former more fully explore those areas. Weisberg and Muldoon’s model, however, suggests that it would be best if all scientists explored novel approaches. I argue that this is due to implausible modeling choices, (...) and I present an alternative ‘epistemic landscape’ model that demonstrates the alleged benefits from division of labor, with one restriction. (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)

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)

We introduce self-divisible ultrafilters, 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)

This chapter aims to show that the earliest discussion about continuity in Western thought is a debate within metaphysics and natural philosophy about homogeneity and divisibility. All parties to this dispute – the main proponents are Parmenides, Zeno, and Aristotle – agree that magnitudes which are continuous (_suneches_) are homogenous and without any gaps. They disagree, however, on which inferences to draw from this for the possibility of divisibility – whether it implies indivisibility, as Parmenides and Zeno assumed, or divisibility, (...) as Aristotle claimed, building on a mathematical understanding of extended magnitudes. Furthermore, while a modern understanding of continuity may seem to be essentially anti-Aristotelian, Aristotle is shown to prepare many of the crucial features of a modern account of continuity in this debate. (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)

The _Philebus_ presents some arguments for the paradoxical claim that the many are one and the one many. The most serious of these arguments concerns the multiple spatial locations of an attribute. For instance, since the attribute man belongs to many men, it is in them, and it is therefore both one and many (for it is in them either by having different parts of itself contained in them or by being wholly contained in each of them). Plato maintains that (...) this argument goes astray. He appeals to division and collection, the procedures linked with definition and classification. He probably has in mind a mereological model of particulars, whereby perceptible particulars are mixtures whose ingredients are the attributes which they partake of. Among the ingredients of a perceptible particular there are properties that specify its spatial location, so the problem of the multiple spatial location of an attribute evaporates. (shrink)

This paper examines two questions about scientists’ search for knowledge. First, which search strategies generate discoveries effectively? Second, is it advantageous to diversify search strategies? We argue pace Weisberg and Muldoon (2009) that, on the first question, a search strategy that deliberately seeks novel research approaches need not be optimal. On the second question, we argue they have not shown epistemic reasons exist for the division of cognitive labor, identifying the errors that led to their conclusions. Furthermore, we generalize (...) the epistemic landscape model, showing that one should be skeptical about the benefits of social learning in epistemically complex environments. (shrink)

Milner and Goodale's influential account of the primate cortical visual streams involves a division of consciousness between them, for it is the ventral stream that has the responsibility for visual consciousness. Hence, the dorsal visual stream is a ‘zombie’ stream. In this article, I argue that certain information carried by the dorsal stream likely plays a central role in the egocentric spatial content of experience, especially the experience of visual spatial constancy. Thus, the dorsal stream contributes to a pervasive (...) feature of consciousness. (shrink)

In the first book of the Prior Analytics, Aristotle sets out, for the first time in Greek philosophy, a logical system. After this, Aristotle compares this method with Plato’s method of division, a procedure designed to find essences of natural kinds through systematic classification. This critical comparison in APr I.31 raises an interpretive puzzle: how can Aristotle reasonably juxtapose two methods that differ so much in their aims and approach? What can be gained by doing so? Previous interpreters have (...) failed to show how this comparison is legitimate or what important point Aristotle is making. The goal of this paper is to resolve the puzzle. In resolving this puzzle we not only learn more about the relationship between division and the syllogistic in Aristotle. We will also learn something about the motivation for the syllogistic itself, by seeing the role that it plays in his philosophy of science. (shrink)

In this paper I formulate the thesis of the Division of Epistemic Labor as a thesis of epistemic dependence, illustrate several ways in which individual subjects are epistemically dependent on one or more of the members of their community in the process of knowledge acquisition, and draw conclusions about the cognitively distributed nature of some knowledge acquisition.

What can we, as a society, legitimately expect from science? And what, if anything, can science legitimately expect from society? This paper argues that the relationship between science and society is governed by a science contract. I first introduce the notion of an expertise contract—a social contract that governs the relationship between experts and non-experts, bestows on experts certain fiduciary duties towards non-experts, and enables the division of epistemic labor in society. I then argue that the science contract cannot (...) be simply identified with the expertise contract as it applies to scientific experts but requires at least two modifications in order to reflect the global nature of science and the role of scientists as researchers. I conclude with some remarks about public trust in science and a non-ideal theory of the scientific contract. (shrink)

Two studies with 3-, 4-, and 5-year-olds (N 104) examined whether young children can differentiate expertise in the minds of others. Study 1 revealed that all children in the sample could correctly attribute observable knowledge to familiar experts (i.e., a doctor and a car mechanic). Further, 4- and 5-year-olds could correctly attribute knowledge of underlying scientific principles to the appropriate experts. In contrast, Study 2 demonstrated that 3-, 4-, and 5-year-olds have difficulty making attributions of knowledge of scientific principles to (...) unfamiliar experts. A computational analysis in Study 3 indicated that 4- and 5-year-olds’ successes on the first two studies could not be attributed to the way in which words co-occur in discourse. Overall, these studies showed that young children have a sense of the division of cognitive labor, albeit fragile. (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)

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)

This paper provides a philosophical assessment of leading theory-based, evidence-based and coherentist approaches to the definition and the measurement of wellbeing. It then builds on this assessment to articulate a reformed division of labor for the science of well-being and argues that this reformed division of labor can improve on the proffered approaches by combining the most plausible tenets of theory-based approaches with the most plausible tenets of coherentist approaches. This result does not per se exclude the possibility (...) that theory-based and coherentist approaches may be independently improved or amended in the years to come. Still, together with the challenges that affect these approaches, it strengthens the case for combining the most plausible tenets of those approaches. (shrink)

Adam Smith’s “The Wealth of Nations” begins with a discussion on the division of labourDivision of labour, emphasizing its central role in economic growth by increasing productivityProductivity. Smith meticulously examines the factors contributing to enhanced productivityProductivity through specialisation, using the by now famous example of pinPin production to illustrate his points.Pins are prototypical domestic products, mainly used in the home. They are cheap and ubiquitous objects that can be used by men and women, children and the old, by skilled (...) and unskilled workers. By focussing on small and inexpensive objects like pins, Smith manages to convey the immense economic potential of the division of labourDivision of labour, which is by no means limited to large-scale production. Neither does it require complex or expensive machinery to produce pins in large quantities, and Smith portrays the fundamental principle of the division of labourDivision of labour as an omnipresent process active in all areas of life. It significantly influences and shapes how individuals cooperate in society, thereby forming one of the foundations of modern society.He argues that the division of labourDivision of labour not only benefits individuals by improving their own situations but also leads to overall prosperity for the region and the entire nation. Smith discusses the economic conditions necessary for individuals to benefit from the division of labourDivision of labour, highlighting the importance of start-up capitalCapital. He also acknowledges the natural limits to the expansion of the division of labourDivision of labour, such as market size and infrastructureInfrastructure, especially the role of transportationTransportation. He also introduces, in later chapters of “The Wealth of Nations,” a discussion of the potential dangers of routine work on workers.Smith asserts that the division of labourDivision of labour remains crucial for economic success and outlines its historical development and implications for tradeTrades and transportationTransportation, from his time to the present time of globalisationGlobalisation. (shrink)

Critical discussion of J.M.E. Moravcsik's paper on Plato's method of division.

In §54 of the Grundlagen, Frege advances an interesting proposal on how to distinguish among different sorts of concepts, only some of which he thinks can be associated with number. This paper is devoted to an analysis of the two criteria he offers, isolation and non-arbitrary division. Both criteria say something about the way in which a concept divides its extension; but they emphasize different aspects. Isolation ensures that a concept divides its extension into discrete units. I offer two (...) construals of this: isolation as discreteness, i.e. absence of overlap, between the objects to be counted; and isolation as the drawing of conceptual boundaries. Non-arbitrary division concerns the internal structure of the units we count: it makes sure that we cannot go on dividing them arbitrarily and still find more units of the kind. Non-arbitrary division focuses not only on how long something can be divided into parts of the same kind; it also speaks to the way in which these divisions are made, arbitrarily or non-arbitrarily, as well as to the compositional structure of the objects divided. (shrink)

According to a standard interpretation of Hume’s argument against infinite divisibility, Hume is raising a purely formal problem for mathematical constructions of infinite divisibility, divorced from all thought of the stuffing or filling of actual physical continua. I resist this. Hume’s argument must be understood in the context of a popular early modern account of the metaphysical status of the parts of physical quantities. This interpretation disarms the standard mathematical objections to Hume’s reasoning; I also defend it on textual and (...) contextual grounds. (shrink)

In this paper, I articulate three kinds of division that Plato and Aristotle acknowledge to be proper, valid methods of division, namely, diairesis, parallel division, and chiasmus. I attempt to explain the relationship among the three kinds of division, namely, how they transform from one to another. Starting with Plato’s division of constitution in the Statesman, I illuminate that from ostensible diairesis emerges a parallel division, and the parallel division causes a cross-division (...) to occur. Thus, the sixfold division of constitution is not a diairesis but rather is a 3 x 2 cross-division. Inheriting the three kinds of division from Plato, Aristotle advances the form by providing a theoretical explanation to the transformation of the three kinds of division. In Topics Z6, Aristotle prescribes two conditions under which a parallel division can originate from or construct ostensible diairesis and how the parallel division further causes a cross-division to occur. (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)

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)

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)

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.

This paper analyzes classical concepts of division of labour and offers some contemporary theoretical model which includes causes and effects of it. For Smith, the main cause is a tendency of human nature to exchange and the main effect is a progress of the country. For Marx, the fundamental cause is historical development of productive forces and effects are accumulation of capital on the one side but also an alienation of working class on the other. Spencer considers as the (...) main cause specialization of functions in generally, which consequence is integration of society. For Durkheim, causes are social density and volume, and its effect or function is new interconnection in society known as term organic solidarity. Weber derives division of labour from his theory of rational economic actions, and its most important effect is development of occupational structure. (shrink)

When is it fair that some people are less healthy than others due to their own individual choices and preferences? In this paper, I explore two alternative answers. The first is a luck-egalitarian account that holds people responsible for choices that society could have reasonably expected them to avoid. I argue that this account is indeterminate and go on to sketch an alternative proposal based on Rawls’s idea of a “social division of responsibility.” This latter approach connects the notion (...) of responsibility for health to the social conditions under which health-related behaviour is developed. (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)

As part of his system of political economy, Fichte has a worked-out theory of the social division of labour in which public recognition of different forms of productive activity is part of a rightful society's basic constitution. Indeed, for Fichte, to be a citizen of the Rechtstaat is in large part to have a recognized occupation (FNR III: 211). Fichte even acknowledges that part of the duty of citizens is to contribute to the reproduction of their society (FNR III: (...) 360). Yet despite all this, it is not at all clear how or where the labour of social reproduction figures into Fichte's division of labour; indeed, it seems to be missing altogether. I call this the ‘problem of missing reproductive labour’ in Fichte. The main contribution of my paper is to address this problem by critically reconstructing Fichte's complex views regarding the family, socially reproductive labour, and the social division of labour. (shrink)

Interdisciplinarity is strongly promoted in science policy across the world. It is seen as a necessary condition for providing practical solutions to many pressing complex problems for which no single disciplinary approach is adequate alone. In this article we model multi- and interdisciplinary research as an instance of collective problem solving. Our goal is to provide a basic representation of this type of problem solving and chart the epistemic benefits and costs of researchers engaging in different forms of cognitive coordination. (...) Our findings suggest that typical forms of interdisciplinary collaboration are unlikely to find optimal solutions to complex problems within short time frames and can lead to methodological conservatism. This provides some grounds for both reflecting on current science policy and envisioning more effective scientific practices with respect to interdisciplinary problem solving. (shrink)

Children may be viewed as public goods whereby both parents receive equal genetic benefits yet one parent often invests more heavily than the other. We introduce a microeconomic framework for understanding household investment decisions to address questions concerning conflicts of interest over types and amount of work effort among married men and women. Although gains and costs of marriage may not be spread equally among marriage partners, marriage is still a favorable, efficient outcome under a wide range of conditions. This (...) bioeconomic framework subsumes both cooperative and conflictive views on the sexual division of labor. We test hypotheses concerning marriage markets, assortative mating, and men’s labor motivations among Tsimane forager-horticulturalists of Bolivia and find that: (1) men and women both value work effort in marital partners, (2) marital labor contributions are complementary, (3) work effort is correlated between spouses, (4) total production is correlated with total reproduction, and (5) better hunters have higher fitness gains within marital unions. (shrink)

It is well known that in the Republic, Socrates presents a view of the soul or the psyche according to which it has three distinct parts or aspects, which he calls the reasoning, spirited, and appetitive parts. Socrates’ clearest characterization of these parts of the soul occurs in Republic IX, where he suggests that they should be understood in terms of the various goals or ends that give rise to the particular desires that motivate our actions. In Republic X, however, (...) Socrates uses the phenomenon of cognitive conflict about matters of fact to show that the soul has only two parts, the rational and the irrational. Moreover, he characterizes these parts in terms of cognitive tendencies, such as forming beliefs on the basis of reason versus forming beliefs on the basis of perceptual appearances. In this chapter, I explain how these divergent accounts of the soul and its parts are legitimate alternative characterizations. A consequence of my argument is that we should not think of the divided soul as primarily a division of desires, but rather as a division of cognitive attitudes towards the world, each of which yields different sorts of desires. (shrink)

Morality, according to some theories, demands a lot of us. One way to defend such demanding moral theories is through an appeal to the division of normativity; on this picture, morality is only one of the normative domains that guides us, so it should be expected that we often fail to follow that guidance. This paper defends the division of normativity as a response to demandingness objections against an alternative: moral rationalism. It does this by addressing and refuting (...) three arguments: the argument from blameworthiness, the argument from agency, and the argument from authority. In turn, I show that none of these arguments work as responses to the division of normativity – if normativity generally is divided, so too must be blameworthiness, agency, and authority. (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)

Left distributive algebras arise in the study of classical structures such as groups, knots, and braids, as well as more exotic objects like large cardinals. A long-standing open question is whether the set of left divisors of every term in the free left distributive algebra on any number of generators is well-ordered. A conjecture of J. Moody describes a halting condition for descending sequences of left divisors in the free left distributive algebra on an arbitrary number of generators. In this (...) paper we present progress toward an affirmative answer to the open question mentioned above, namely we prove that the many generator form of Moody’s conjecture holds if each member of the free left distributive algebra has a “division form” representation in an expanded algebra. (shrink)

This paper exposes a common mistake concerning the division of linguistic labor. I characterize the mistake as an overgeneralization from natural kind terms; this misleads philosophers about which terms are subject to the division of linguistic labor, what linguistic labor is, how linguistic labor is divided, and how the extensions of non-natural kind terms subject to the division of linguistic labor are determined. I illustrate these points by considering Sally Haslanger’s account of the division of linguistic (...) labor for social kind terms and raising an objection to it. Then, I draw on Tyler Burge’s work to characterize a conception of the division of linguistic labor that avoids the mistaken overgeneralization and grounds 1–4 above in social norms and practices. (shrink)

The vast network of Drosophila geneticists spawned by Thomas Hunt Morgan's fly room in the early 20th century has justifiably received a significant amount of scholarly attention. However, most accounts of the history of Drosophila genetics focus heavily on the "boss and the boys," rather than the many other laboratory groups which also included large numbers of women. Using demographic information extracted from the Drosophila Information Service directories from 1934 to 1970, we offer a profile of the gendered division (...) of labor within Drosophila genetics in the United States during the middle decades of the 20th century. Our analysis of the gendered division of labor supports a reconsideration of laboratory practices as different forms of work. (shrink)