Bargmann’s superselection rule, which forbids the existence of superpositions of states with different mass and, therefore, implies the impossibility of describing unstable particles in non-relativistic quantum mechanics, arises as a consequence of demanding Galilean covariance of Schrödinger’s equation. However, the usual Galilean transformations inadequately describe the symmetries of non-relativistic quantum mechanics since they can produce phases in the wavefunction which are relativistic time contraction remnants and therefore, cannot be physically interpreted within the theory. In this paper we review the incompatibility (...) between Bargmann’s rule and Lorentz transformations in the low-velocities limit, we analyze its classical origin and we show that the Extended Galilei group characterizes better the symmetries of the theory. Furthermore, we claim that a proper description of non-relativistic quantum mechanics requires a modification of the notion of spacetime in the corresponding limit, which is noticeable only for quantum particles. (shrink)

According to the conventionalist doctrine of space elaborated by the French philosopher-scientist Henri Poincaré in the 1890s, the geometry of physical space is a matter of definition, not of fact. Poincaré’s Hertz-inspired view of the role of hypothesis in science guided his interpretation of the theory of relativity (1905), which he found to be in violation of the axiom of free mobility of invariable solids. In a quixotic effort to save the Euclidean geometry that relied on this axiom, Poincaré (...) class='Hi'>extended the purview of his doctrine of space to cover both space and time. The centerpiece of this new doctrine is what he called the ‘‘principle of physical relativity,’’ which holds the laws of mechanics to be covariant with respect to a certain group of transformations. For Poincaré, the invariance group of classical mechanics defined physical space and time (Galilei spacetime), but he admitted that one could also define physical space and time in virtue of the invariance group of relativistic mechanics (Minkowski spacetime). Either way, physical space and time are the result of a convention. (shrink)

We consider the problem of whether there are deterministic theories describing the evolution of an individual physical system in terms of the definite trajectories of its constituent particles and which stay in the same relation to quantum mechanics as Bohmian mechanics but which differ from the latter for what concerns the trajectories followed by the particles. Obviously, one has to impose on the hypothetical alternative theory precise physical requirements. We analyze various such constraints and we show step by step how (...) to meet them. This way of attacking the problem turns out to be useful also from a pedagogical point of view since it allows one to recall and focus on some relevant features of Bohm's theory. One of the central requirements we impose on the models we are going to analyze has to do with their transformation properties under the transformation of the extended Galilei group. In a context like the one we are interested in, one can put forward various requests that we refer to as physical and genuine covariance and invariance. Other fundamental requests are that the theory allows the description of isolated physical systems as well as that it leads to a solution (in the same sense as Bohmian mechanics) of the measurement problem. We show that, even when all the above conditions are taken into account, there are infinitely many inequivalent (from the point of view of the trajectories) bohmian-like theories reproducing the predictions of quantum mechanics. This raises some interesting questions about the meaning of Bohmian mechanics. (shrink)

According to the conventionalist doctrine of space elaborated by the French philosopher-scientist Henri Poincaré in the 1890s, the geometry of physical space is a matter of definition, not of fact. Poincaré's Hertz-inspired view of the role of hypothesis in science guided his interpretation of the theory of relativity (1905), which he found to be in violation of the axiom of free mobility of invariable solids. In a quixotic effort to save the Euclidean geometry that relied on this axiom, Poincaré (...) class='Hi'>extended the purview of his doctrine of space to cover both space and time. The centerpiece of this new doctrine is what he called the "principle of physical relativity," which holds the laws of mechanics to be covariant with respect to a certain group of transformations. For Poincaré, the invariance group of classical mechanics defined physical space and time (Galilei spacetime), but he admitted that one could also define physical space and time in virtue of the invariance group of relativistic mechanics (Minkowski spacetime). Either way, physical space and time are the result of a convention. (shrink)

The semigroup of trajectories in Minkowski space-time and its induced representations are constructed as a generalization of the Galilei case. They describe relativistic pointlike particles and yield the free propagator as a path integral in the space of trajectories parametrized by a fifth parameter. This non physical propagator in a five-dimensional space is integrated over the fifth parameter to yield the physical propagator in Minkowski space. Thereafter, this notion is applied to a model of extended particles with internal (...) Poincaré symmetry and moving in an external Minkowski space. The geometrical structure is of Hilbert bundles and the interaction is introduced as a connection. The propagator is a path integral with respect to either the internal and external trajectories and reduces to a product of an internal and an external propagator when the interaction is ignored, just as has been found in a previous work with representations of the group rather than those of the semigroup. (shrink)

This paper presents the results of computer simulations with a community of actors playing a large number of voluntarily iterated two-person-PD. The simulations are designed to enable uncooperative actors to exploit partners, leave them and find a new partner who knows nothing about their previous behavioral history. Hit-and-run exploitation should thrive under these conditions. However, as Schuessler (1989; 1990) has shown, the setting is highly unfavorable to uncooperative players. The present study extends this result to a wider set of strategies (...) which can alternatively stay with defectors {and try to improve them) or leave them quickly. In addition, a class of seemingly clever strategies is introduced which try to exploit the expected dynamics of looking for a partner. Still, a high amount of egoistical cooperation can persist in the present scenario. (shrink)

Despite clear overlap between the study of extended minds and the study of group minds, these research programs have largely been carried out independently. Moreover, whereas proponents of the extended mind thesis straightforwardly advocate the view that there are, literally, extended mental states, proponents of the group mind thesis tend to be more circumspect. Even those who advocate for some version of the thesis that groups are the subjects of mental states often concede that this (...) thesis is true only in some loose or metaphorical sense. I argue that this imbalance is a mistake. A literal interpretation of the group mind thesis is no less plausible than the extended mind thesis, because group minds are particularly defensible instances of extended minds. However, the extended mind thesis, and the view that group minds are extended minds, are defensible only following a revision of the extended mind thesis. (shrink)

According to the conventionalist doctrine of space elaborated by the French philosopher-scientist Henri Poincaré in the 1890s, the geometry of physical space is a matter of definition, not of fact. Poincaré’s Hertz-inspired view of the role of hypothesis in science guided his interpretation of the theory of relativity (1905), which he found to be in violation of the axiom of free mobility of invariable solids. In a quixotic effort to save the Euclidean geometry that relied on this axiom, Poincaré (...) class='Hi'>extended the purview of his doctrine of space to cover both space and time. The centerpiece of this new doctrine is what he called the ‘‘principle of physical relativity,’’ which holds the laws of mechanics to be covariant with respect to a certain group of transformations. For Poincaré, the invariance group of classical mechanics defined physical space and time (Galilei spacetime), but he admitted that one could also define physical space and time in virtue of the invariance group of relativistic mechanics (Minkowski spacetime). Either way, physical space and time are the result of a convention. (shrink)

In my dissertation, I explore the remarkable talent of human beings to modify and co-opt resources of their material and socio-cultural environment, and integrate them with their biological capacities in order to enhance their cognitive prowess. In the first part, I clarify and defend the claim – known as the extended mind thesis – that a significant portion of human cognition literally extends beyond the head into the world, actively incorporating our bodies and an intricate web of material resources (...) (Clark, 2003, 2008; Wilson, 2004). Yet since much of distinctively human cognition occurs when we think in groups, I argue that the bias of this thesis to view cognition as an essentially solitary (albeit bodily or technologically extended) activity is misplaced. In the second part, I re-deploy the idea of cognitive extensions to establish a scientifically respectable version of the group mind thesis – i.e., the claim that groups can have emergent cognitive properties and capacities in their own right. (shrink)

The cultural group selection hypothesis is supported by considerations of short-term and long-term behavioral patterns of group members, and the short-term and long-term consequences of that behavior. The key to understanding cooperation lies in understanding that the effect of an extended behavioral pattern does not equal – and might even be opposite to – the added effects of its parts.

Pi(AS) = Pi(A)Pi(S) for i = 1, 2. But the Linear Pool created a group opinion P3 with positive dependence. P3(A|S) > P3(A).

We construct the Extended Relativity Theory in Born-Clifford-Phase spaces with an upper R and lower length λ scales (infrared/ultraviolet cutoff). The invariance symmetry leads naturally to the real Clifford algebra Cl (2, 6, R) and complexified Clifford Cl C (4) algebra related to Twistors. A unified theory of all Noncommutative branes in Clifford-spaces is developed based on the Moyal-Yang star product deformation quantization whose deformation parameter involves the lower/upper scale $$(\hbar \lambda / R)$$. Previous work led us to show (...) from first principles why the observed value of the vacuum energy density (cosmological constant) is given by a geometric mean relationship $$\rho \sim L_{\rm Planck}^{-2}R^{-2} = L_{P}^{-4} (L_{\rm Planck} / R)^{2} \sim 10^{-122}M_{\rm Planck}^4$$, and can be obtained when the infrared scale R is set to be of the order of the present value of the Hubble radius. We proceed with an extensive review of Smith’s 8D model based on the Clifford algebra Cl (1, 7) that reproduces at low energies the physics of the Standard Model and Gravity, including the derivation of all the coupling constants, particle masses, mixing angles,....with high precision. Geometric actions are presented like the Clifford-Space extension of Maxwell’s Electrodynamics, and Brandt’s action related to the 8D spacetime tangent-bundle involving coordinates and velocities (Finsler geometries). Finally we outline the reasons why a Clifford-Space Geometric Unification of all forces is a very reasonable avenue to consider and propose an Einstein-Hilbert type action in Clifford-Phase spaces (associated with the 8D Phase space) as a Unified Field theory action candidate that should reproduce the physics of the Standard Model plus Gravity in the low energy limit. (shrink)

Extended Report from Working Group 5: Social Responsibility of Scientists at the 59th Pugwash Conference on Science and World Affairs in Berlin, 1–4 July 2011 Content Type Journal Article Pages 1-10 DOI 10.1007/s11948-011-9324-9 Authors Tom Børsen, Department of Learning and Philosophy, Aalborg University, Copenhagen, Lautrupvang 2, DK-2750 Ballerup, Denmark Journal Science and Engineering Ethics Online ISSN 1471-5546 Print ISSN 1353-3452.

Along the lines of a previous work, the geometrical structure of Hibert bundles describing extended quantum free particles is repeated with Galilei external and internal independent symmetries. Then, in order to introduce the interaction, this structure is extended by replacing configuration and momentum spaces by the socelled spaces of trajectories and extended velocity boosts, respectively. These provide representations giving the probability amplitudes for the particle to follow certain trajectories. The interaction can be introduced in the transformation (...) law from functions on the space of trajectories (free dynamics) to functions on spacetime (intracting dynamics). This transformation law, which makes use of a universal distribution, is seen as a functional in our work according to a quantum functional theory which generalizes the ideas of de Broglie. Intertwining of induced representations gives the free propagator in the space of trajectories and, henceforth, the propagator with interaction in space-time for the extended particle. (shrink)

While memory is conceptualized predominantly as an individual capacity in the cognitive and biological sciences, the social sciences have most commonly construed memory as a collective phenomenon. Collective memory has been put to diverse uses, ranging from accounts of nationalism in history and political science to views of ritualization and commemoration in anthropology and sociology. These appeals to collective memory share the idea that memory ‘‘goes beyond the individual’’ but often run together quite different claims in spelling out that idea. (...) This paper reviews a sampling of recent work on collective memory in the light of emerging externalist views within the cognitive sciences, and through some reflection on broader traditions of thought in the biological and social sciences that have appealed to the idea that groups have minds. The paper concludes with some thoughts about the relationship between these kinds of cognitive metaphors in the social sciences and our notion of agency. (shrink)

The voting power of a voter—the extent to which she can affect the outcome of a collective decision—is often quantified in terms of the probability that she is critical. This measure is extended to a series of power measures of different ranks. The measures quantify the extent to which a voter can be part of a group that can jointly make a difference as to whether a bill passes or not. It is argued that the series of these (...) measures allow for a more appropriate assessment of voting power, particularly of a posteriori voting power in case the votes are stochastically dependent. Also, the new measures discriminate between voting games that cannot be distinguished in terms of the probability of only criticality. (shrink)

This paper aims to determine whether extended human-machine cognitive systems and group systems can be regarded as autonomous agents. For this purpose, I compare two notions of agency: one developed within analytical philosophy of action and based on the concept of intention, and the other introduced by enactivists via the concepts of autopoiesis and sensorimotor autonomy. I argue that only the latter approach can be used to demonstrate autonomous agency in respect of systems that are not humans as (...) such, though they contain humans as their elements. After introducing Maturana and Varela’s conception of minimal autonomy as a kind of generalization of autopoiesis, I present the three conditions of agency put forward by Barandiaran, Di Paolo and Rohde, noting that they do not invoke the property of being alive as necessary in that respect. I argue that both extended and group systems can satisfy these conditions of agency, even though they are not alive as such. The fulfillment of these conditions, however, is ensured by the autopoietic nature of the living components of these systems. That being said, an autonomous system itself does not need to be alive in the biological sense. Sensorimotor, adaptive agency could emerge out of other processes than those responsible for biological life. The article concludes with a suggestion that this is exactly what will happen if an autonomous system is ever artificially created. It would be functionally indistinguishable from a living organism, though not alive in a biological sense. (shrink)

The ‘extended mind’ thesis asserts that cognitive processes are not bound by the skull or even skin of biological individuals, but actively incorporate environmental structures such as symbols, tools, artifacts, media, cultural practices, norms, groups, or institutions. By distributing cognition across space, time, and people in canny ways, we circumvent or overcome the biological limitations of our brains. Human beings are creative, albeit opportunistic experts in cognitive ‘self-transcendence.’ This entry surveys discussions of EM in philosophy of mind and cognitive (...) science which point to this overarching theme. (shrink)

The claim is frequently made that structured collections of individuals who are themselves subjects of mental and cognitive states – such collections as courts, countries, and corporations – can be, and often are, subjects of mental or cognitive states. And, to be clear, advocates for this so-called group-minds hypothesis intend their view to be interpreted literally, not metaphorically. The existing critical literature casts substantial doubt on this view, at least on the assumption that groups are claimed to instantiate the (...) same species of mental and cognitive properties as individual humans. In this essay, I evaluate a defensive move made by some proponents of the group-oriented view: to concede that group states and individual states aren’t of the same specific natural kinds, while holding that groups instantiate different species of mental or cognitive states – perhaps a different species of cognition itself – from those instantiated by humans. In order to evaluate this defense of group cognition, I develop a view of natural kinds – or at least of the sort of evidence that supports inferences to the sameness of natural kind – a view I have previous dubbed the ‘tweak-and-extend’ theory. Guided by the tweak-and-extend approach, I arrive at a tentative conclusion: that what is common to models of individual cognitive processing and models of group processing does not suffice to establish sameness of cognitive (or mental) kinds, properties, or state-types, not even at a generic or overarching level. (shrink)

Folk-sociology is a set of intuitive assumptions that organize our spontaneous theories about society, including the notion that social groups are agent-like. Pietraszewski's model may explain this folk-sociological assumption in an elegant way. However, large-scale group dynamics include features that seem to escape agent-like descriptions. Therefore, one may want to find out whether the “event-grammar” proposed here can account for these features.

In this paper, we approach the idea of group cognition from the perspective of the “extended mind” thesis, as a special case of the more general claim that systems larger than the individual human, but containing that human, are capable of cognition (Clark, 2008; Clark & Chalmers, 1998). Instead of deliberating about “the mark of the cognitive” (Adams & Aizawa, 2008), our discussion of group cognition is tied to particular cognitive capacities. We review recent studies of (...) class='Hi'>group problem-solving and group memory which reveal that specific cognitive capacities that are commonly ascribed to individuals are also aptly ascribed at the level of groups. These case studies show how dense interactions among people within a group lead to both similarity-inducing and differentiating dynamics that affect the group's ability to solve problems. This supports our claim that groups have organization-dependent cognitive capacities that go beyond the simple aggregation of the cognitive capacities of individuals. Group cognition is thus an emergent phenomenon in the sense of Wimsatt (1986). We further argue that anybody who rejects our strategy for showing that cognitive properties can be instantiated at multiple levels in the organizational hierarchy on a priori grounds is a “demergentist,” and thus incurs the burden of proof for explaining why cognitive properties are “stuck” at a certain level of organizational structure. Finally, we show that our analysis of group cognition escapes the “coupling-constitution” charge that has been leveled against the extended mind thesis (Adams & Aizawa, 2008). (shrink)

Let G be the direct sum of the noncyclic groupof order four and a cyclic groupwhoseorderisthe power pn of some prime p. We show that ℤ2G-lattices have a decidable theory when the cyclotomic polynomia equation image is irreducible modulo 2ℤ for every j ≤ n. More generally we discuss the decision problem for ℤ2G-lattices when G is a finite group whose Sylow 2-subgroups are isomorphic to the noncyclic group of order four.

In this paper, I address one recent objection to Andy Clark and David Chalmers’s functionalist argument for the extended mind thesis. This objection is posed by Kengo Miyazono, who claims that they unjustifiably identify the original cognitive subject with the hybrid one in order to reach their conclusion about the mind extension. His attack consists of three steps: distinguishing hybrid from traditional cognitive subjects based on the systems reply originally directed at Searle’s Chinese room argument; pointing out that the (...) conclusion of the functionalist argument for EM must be rephrased to state that there are hybrid, and not extended, systems with widely realized mental states; and arguing that functionalist EM cannot justify the assumption about the identity of these two kinds of subjects without circularity. I argue that Miyazono’s main argument is ill-founded but that it, nevertheless, points out one important issue, namely, that we need further justification of the identity assumption, without which EM loses much of its flavor. Thus, I am going to challenge Miyazono’s argument, provide a reinterpretation of the argumentation in the EM debate, defend the possibility of wide and extended selves, and offer a justification of the identity assumption, which I find crucial not only for vindicating EM but also for differentiating EM from other similar theses, such as the thesis about group minds. (shrink)

The aim of this exploratory paper is to review an under-appreciated parallel between group agency and artificial intelligence. As both phenomena involve non-human goal-directed agents that can make a difference to the social world, they raise some similar moral and regulatory challenges, which require us to rethink some of our anthropocentric moral assumptions. Are humans always responsible for those entities’ actions, or could the entities bear responsibility themselves? Could the entities engage in normative reasoning? Could they even have rights (...) and a moral status? I will tentatively defend the (increasingly widely held) view that, under certain conditions, artificial intelligent systems, like corporate entities, might qualify as responsible moral agents and as holders of limited rights and legal personhood. I will further suggest that regulators should permit the use of autonomous artificial systems in high-stakes settings only if they are engineered to function as moral (not just intentional) agents and/or there is some liability-transfer arrangement in place. I will finally raise the possibility that if artificial systems ever became phenomenally conscious, there might be a case for extending a stronger moral status to them, but argue that, as of now, this remains very hypothetical. (shrink)

In spite of the booming interest in social epistemology, explicit analyses of group knowledge remain rare. Most existing accounts are based on theories of joint intentionality. I argue that this approach, though not without merit or useful applications, is inadequate both when it comes to accounting for actual group knowledge attributions and for purposes of meliorative social epistemology. As an alternative, I outline a liberal, de-intellectualized account, which allows for the complex distribution of epistemic states typical of most (...) real-world collectives, and makes minimal requirements as to the psychological underpinnings of collective states of knowing and the formal features of groups. The account is inspired by theories of distributed and extended cognition. It is guided by the principle that we should use the same standard when dealing with social and individual epistemology. Careful attention to what is normally required—and, in particular, not required—for attributing knowledge to individuals lends support the more liberal view. (shrink)

The “extended mind” thesis (Clark, 2008) has focused primarily on the interactions between single individuals and cognitive artifacts, resulting in a relative neglect of interactions between people. At the same time, the idea that groups can have cognitive properties of their own has gained new ascendancy in various fields concerned with collective behavior. My main goal in this paper is to propose an understanding of group cognition as an emergent form of socially distributed cognition. To that end, I (...) first clarify the relevant notions of cognition and emergence that are at play in the contemporary debate. I then apply our conceptual framework to recent developments in the theory of transactive memory systems (Wegner, 1986), arguing that the idea of group cognition is neither trivial nor shrouded in metaphysical mystery. (shrink)

It is known Hrushovski and Pillay that a group G definable in the field \ of p-adic numbers is definably locally isomorphic to the group \\) of p-adic points of a algebraic group H over \. We observe here that if H is commutative then G is commutative-by-finite. This shows in particular that any one-dimensional group G definable in \ is commutative-by-finite. This result extends to groups definable in p-adically closed fields. We prove our results in (...) the more general context of geometric structures. (shrink)

This paper introduces a new, expanded range of relevant cognitive psychological research on collaborative recall and social memory to the philosophical debate on extended and distributed cognition. We start by examining the case for extended cognition based on the complementarity of inner and outer resources, by which neural, bodily, social, and environmental resources with disparate but complementary properties are integrated into hybrid cognitive systems, transforming or augmenting the nature of remembering or decision-making. Adams and Aizawa, noting this distinctive (...) complementarity argument, say that they agree with it completely: but they describe it as “a non-revolutionary approach” which leaves “the cognitive psychology of memory as the study of processes that take place, essentially without exception, within nervous systems.” In response, we carve out, on distinct conceptual and empirical grounds, a rich middle ground between internalist forms of cognitivism and radical anti-cognitivism. Drawing both on extended cognition literature and on Sterelny’s account of the “scaffolded mind” (this issue), we develop a multidimensional framework for understanding varying relations between agents and external resources, both technological and social. On this basis we argue that, independent of any more “revolutionary” metaphysical claims about the partial constitution of cognitive processes by external resources, a thesis of scaffolded or distributed cognition can substantially influence or transform explanatory practice in cognitive science. Critics also cite various empirical results as evidence against the idea that remembering can extend beyond skull and skin. We respond with a more principled, representative survey of the scientific psychology of memory, focussing in particular on robust recent empirical traditions for the study of collaborative recall and transactive social memory. We describe our own empirical research on socially distributed remembering, aimed at identifying conditions for mnemonic emergence in collaborative groups. Philosophical debates about extended, embedded, and distributed cognition can thus make richer, mutually beneficial contact with independently motivated research programs in the cognitive psychology of memory. (shrink)

A group is often construed as one agent with its own probabilistic beliefs (credences), which are obtained by aggregating those of the individuals, for instance through averaging. In their celebrated “Groupthink”, Russell et al. (2015) require group credences to undergo Bayesian revision whenever new information is learnt, i.e., whenever individual credences undergo Bayesian revision based on this information. To obtain a fully Bayesian group, one should often extend this requirement to non-public or even private information (learnt by (...) not all or just one individual), or to non-representable information (not representable by any event in the domain where credences are held). I pro- pose a taxonomy of six types of ‘group Bayesianism’. They differ in the information for which Bayesian revision of group credences is required: public representable information, private representable information, public non-representable information, etc. Six corre- sponding theorems establish how individual credences must (not) be aggregated to ensure group Bayesianism of any type, respectively. Aggregating through standard averaging is never permitted; instead, different forms of geometric averaging must be used. One theorem—that for public representable information—is essentially Russell et al.’s central result (with minor corrections). Another theorem—that for public non-representable information—fills a gap in the theory of externally Bayesian opinion pooling. (shrink)

Mechanistic accounts of explanation have recently found popularity within philosophy of science. Presently, we introduce the idea of an extended mechanistic explanation, which makes explicit room for the role of environment in explanation. After delineating Craver and Bechtel’s account, we argue this suggestion is not sufficiently robust when we take seriously the mechanistic environment and modeling practices involved in studying contemporary complex biological systems. Our goal is to extend the already profitable mechanistic picture by pointing out the importance of (...) the mechanistic environment. It is our belief that extended mechanistic explanations, or mechanisms that take into consideration the temporal sequencing of the interplay between the mechanism and the environment, allow for mechanistic explanations regarding a broader group of scientific phenomena. (shrink)

In this paper I investigate, within the framework of realistic interpretations of the wave function in nonrelativistic quantum mechanics, the mathematical and physical nature of the wave function. I argue against the view that mathematically the wave function is a two-component scalar field on configuration space. First, I review how this view makes quantum mechanics non- Galilei invariant and yields the wrong classical limit. Moreover, I argue that interpreting the wave function as a ray, in agreement many physicists, (...) class='Hi'>Galilei invariance is preserved. In addition, I discuss how the wave function behaves more similarly to a gauge potential than to a field. Finally I show how this favors a nomological rather than an ontological view of the wave function. (shrink)

We extend a theorem of Barwise and Nadel describing the relationship between approximations of canonical Scott sentences and admissible sets to the case of orbit equivalence relations induced on an arbitrary Polish space by a Polish group action.

Talk of group minds has arisen in a number of distinct traditions, such as in sociological thinking about the “madness of crowds” in the 19th-century, and more recently in making sense of the collective intelligence of social insects, such as bees and ants. Here we provide an analytic framework for understanding a range of contemporary appeals to group minds and cognate notions, such as collective agency, shared intentionality, socially distributed cognition, transactive memory systems, and group-level cognitive adaptations.

In recent years, philosophical developments of the notion of distributed and/or scaffolded cognition have given rise to the “extended mind” thesis. Against the popular belief that the mind resides solely in the brain, advocates of the extended mind thesis defend the claim that a significant portion of human cognition literally extends beyond the brain into the body and a heterogeneous array of physical props, tools, and cultural techniques that are reliably present in the environment in which people grow, (...) think, and act (Clark and Chalmers 1998; Clark 1997, 2003, 2008; Wilson 2004; Rowlands 1999, 2012; Menary 2007; Theiner 2011). However, as commentators who are friendly to the idea of distributed cognition have pointed out, the philosophical debate over extended cognition has predominantly focused on the impact of tools on our thinking while somewhat neglecting the distinctively social and cultural dimensions of cognitive scaffolding (Sterelny 2004, 2010; Caporael 1997a, 1997b; Smith and Semin 2004; Wilson 2005; Barnier et al. 2008; Sutton et al. 2010; Theiner, Allen, and Goldstone 2010). -/- To reorient the reigning paradigm, Hutchins (2010, 445) has recently proposed the “hypothesis of enculturated cognition” (HEnC) as an alternative to Clark’s (2003, 2008) largely individualistic vision of the extended mind. According to the HEnC, the “ecological assemblies of human cognition make pervasive use of cultural products” and are typically “assembled … in ongoing cultural practices” (ibid.). Cultural practices, for Hutchins, are essentially “the things people do in interaction with one another” (ibid., 440). My goal in this chapter is to follow up on Hutchins’s call to “spur the program forward” (ibid., 445), by generalizing Kirsh and Maglio’s (1994) distinction between pragmatic and epistemic actions from the level of individuals to the level of groups. The concept of a collective epistemic action refers to the ways in which groups of people actively change the structure of their social organization, with the epistemic goal of reshaping and augmenting their cognitive performance as integrated collectivities. By placing a renewed emphasis on the interactions between people, rather than between people and their tools, I hope to reconnect the cognitive-scientifically-driven “extended mind” thesis with complementary areas of social-scientific research in which groups are analyzed as the seats of action and cognition in their own right. In particular, the literature to which I aim to build a bridge in this paper is, on the one hand, certain segments of social and organizational psychology (Larson and Christensen 1993; Hinsz et al. 1997; Mohammed and Dumville 2001), and, on the other hand, theories of collective and institutional action (Ostrom 1990; List and Pettit 2011). (shrink)

We investigate the provability of some properties of abelian groups and quadratic residues in variants of bounded arithmetic. Specifically, we show that the structure theorem for finite abelian groups is provable in S22 + iWPHP, and use it to derive Fermat's little theorem and Euler's criterion for the Legendre symbol in S22 + iWPHP extended by the pigeonhole principle PHP. We prove the quadratic reciprocity theorem in the arithmetic theories T20 + Count2 and I Δ0 + Count2 with modulo-2 (...) counting principles. (shrink)

We extend Smaldino’s approach to collaboration and social organization in cultural evolution to include cognition. By showing how recent work on emergent group-level cognition can be incorporated within Smaldino’s framework, we extend that framework’s scope to encompass collaborative memory, decision-making, and intelligent action. We argue that beneficial effects arise only in certain forms of cognitive interdependence, in surprisingly fragile conditions.

Contemporary philosophers and scientists have done much to expand our understanding of the structure and neural mechanisms of joint action. But the phenomenology of joint action has only recently become a live topic for research.One method of clarifying what is unique about the phenomenology of joint action is by considering the alternative perspective of agents subsumed in group action. By group action we mean instances of individual agents acting while embedded within a group agent, instead of with (...) individual coordination. Paradigm examples are educational bureaucracies, corporations, and nation states. There is a phenomenological difference between agents whose actions are subsumed within a group action as compared to agents who act jointly. Attending to this difference clarifies what is phenomenologically distinctive about joint action.Appealing to an Aristotelian account of agency and to the metaphysical concept of weak emergence, we argue that what makes paradigmatic group action distinctive is the relative inaccessibility, un-revisability, and evaluative simplicity of the group agent’s goal from the perspective of individual agents. This suggests that a distinctive feature of joint agency is the maintenance of a greater sense of individual agency. Put simply, joint agency is often experienced as an enhancement of the individuals’ agency precisely because our paradigmatic agential powers are extended intersubjectively as we act together. In contrast, group agency often involves a loss of the sense of agency, precisely because it is the emergent group agent that maintains the agential powers. (shrink)

We extend Smaldino's approach to collaboration and social organization in cultural evolution to include cognition. By showing how recent work on emergent group-level cognition can be incorporated within Smaldino's framework, we extend that framework's scope to encompass collaborative memory, decision making, and intelligent action. We argue that beneficial effects arise only in certain forms of cognitive interdependence, in surprisingly fragile conditions.

tions. These are typically formulated as designating a rule or class of rules asiddha “not effected” (or asiddhavat “as if not effected”) with respect to another rule or class of rules. For economy, the rules so designated are grouped into several sections, whose headings collectively declare them to be asiddha(vat). The biggest such section, under the famous heading 8.2.1 p ¯urvatr¯asiddham, extends from 8.2.1 through the end of the grammar (8.4.68), and is hence called the Trip¯ad¯ı ‘Three Sections’.

The partitioned Bonferroni mean operator can efficiently aggregate inputs, which are divided into parts based on their interrelationships. To date, it has not been used to aggregate linguistic Pythagorean fuzzy numbers. In this paper, we extend the PBM operator and partitioned geometric Bonferroni mean operator to the linguistic Pythagorean fuzzy sets and use them to develop a novel multiattribute group decision-making model under the linguistic Pythagorean fuzzy environment. We first define some novel operational laws for LPFNs, which take into (...) consideration the interactions between the membership degree and nonmembership degree from two different LPFNs. Based on these novel operational laws, we put forward the interaction PBM operator, the weighted interaction PBM operator, the interaction PGBM operator, and the weighted interaction PGBM operator. Then, we study some properties of these proposed operators and discuss their special cases. Based on the proposed LPFWIPBM and LPFWIPGBM operators, a novel multiattribute group decision-making model is developed to process the linguistic Pythagorean fuzzy information. Finally, some illustrative examples are introduced to compare our proposed methods with the existing ones. (shrink)

Ninety-five freshmen each recruited three peers to play a "group bidding game," an N-person prisoner’s dilemma in which anyone could win movie tickets depending on their scores in the game. Prior to playing, all participants completed a measure of prosocial value orientation. Replicating and extending earlier findings (Sheldon and McGregor 2000), our results show that prosocial participants were at a disadvantage within groups. Despite this vulnerability, prosocial participants did no worse overall than asocial participants because a counteracting group-level (...) advantage arose for prosocials, who tended to be concentrated in groups. Implications of this assortative process for the egoism/altruism debate, and for hierarchical selection theory, are discussed. (shrink)

There is a conspicuous tendency of humans to experience empathy and sympathy preferentially towards members of their own group, whereas empathetic feelings towards outgroup members or strangers are often reduced or even missing. This may culminate in a “dissociation of empathy”: a historical example are the cases of Nazi perpetrators who behaved as compassionate family men on the one hand, yet committed crimes of utter cruelty against Jews on the other. The paper aims at explaining such phenomena and at (...) determining the limits of empathy. To this purpose, it first distinguishes between two levels of empathy, namely primary or intercorporeal and extended or higher-level empathy. It then investigates the mutual interconnection of empathy and recognition, which may be regarded as a principle of extending empathy to others regardless of whether they belong to one’s own group or not. However, this principle is in conflict with ingroup conformism and outgroup biases that hamper the universal extension of empathy. Thus, a denial of recognition and exclusion of others from one’s ingroup usually results in a withdrawal or lack of extended empathy which then influences primary empathy as well. On this basis, and using the historical example of mass executions during the Holocaust, the paper investigates the mechanisms of exclusion which may lead to a withdrawal of recognition and finally to a dissociation of empathy. (shrink)

In this paper we extend the neutrosophic group and subgroup to soft neutrosophic group and soft neutrosophic subgroup respectively. Properties and theorems related to them are proved and many examples are given.

P¯an.ini’s grammar includes several types of metarules which determine how its operational rules apply. Among them are “traffic rules” which constrain how rules interact with each other in grammatical derivations. These are typically formulated as designating a rule or class of rules asiddha “not effected” (or asiddhavat “as if not effected”) with respect to another rule or class of rules. For economy, the rules so designated are grouped into several sections, whose headings collectively declare them to be asiddha(vat). The biggest (...) such section, under the famous heading 8.2.1 p ¯urvatr¯asiddham, extends from 8.2.1 through the end of the grammar (8.4.68), and is hence called the Trip¯ad¯ı ‘Three Sections’. (shrink)

Some defenders of the view that there is a common morality have conceived such morality as being universal, in the sense of extending across all cultures and times. Those who deny the existence of such a common morality often argue that the universality claim is implausible. Defense of common morality must take account of the distinction between descriptive and normative claims that there is a common morality. This essay considers these claims separately and identifies the nature of the arguments for (...) each claim. It argues that the claim that there is a universal common morality in the descriptive sense has not been successfully defended to date. It maintains that the claim that there is a common morality in the normative sense need not be understood as universalist. This paper advocates the concept of group specific common morality, including country-specific versions. It suggests that both the descriptive and the normative claims that there are country-specific common moralities are plausible, and that a country-specific normative common morality could provide the basis for a country's bioethics. (shrink)

The fact that much of our knowledge is gained through the testimony of others challenges a certain form of epistemic individualism. We are clearly not autonomous knowers. But the discussion surrounding testimony has maintained a commitment to what I have elsewhere called epistemic agent individualism. Both the reductionist and the anti-reductionist have focused their attention on the testimony of individuals. But groups, too, are sources of testimony - or so I shall argue. If groups can be testifiers, a natural question (...) to ask is whether our beliefs based on the testimony of groups are ever justified and whether such a justification is to be conferred inferentially or non-inferentially. I consider and dismiss the possibility of extending an anti-reductionist account of justification to our group testimonial beliefs. I also argue against a version of reductionism that would have our group testimonial beliefs justified only in so far as we were able to monitor the trustworthiness of members of the group. However, there are forms of reductionism that can be extended to make sense of the justification of our group testimonial beliefs. There are mechanisms for monitoring the trustworthiness and competency of a group (rather than its members) and, further, a variety of background beliefs allow us to assess the testimony of a group for reliability. (shrink)

This paper proposes a view uniformly extending expected utility calculations to both individual and group choice contexts. Three related cases illustrate the problems inherent in applying expected utility to group choices. However, these problems do not essentially depend upon the tact that more than one agent is involved. I devise a modified strategy allowing the application of expected utility calculations to these otherwise problematic cases. One case, however, apparently leads to contradiction. But recognizing the falsity of proposition (1) (...) below allows the resolution of the contradiction, and also allows my modified strategy to resolve otherwise paradoxical cases of group choice such as the Prisoners' Dilemma: -/- (1) lf an agent x knows options A and B are both available, and x knows that were he to do A he would be better off (in every respect) than were he to do B, then doing A is more rational for x than doing B. (shrink)

Ethical voice involves individuals’ perceptions of what is right and what is wrong. Although prior research has investigated the impacts of individual-level prohibitive ethical expression on personal outcomes, there has been limited examination of ethical voice at the group level. Our study examines how and when different types of ethical voice influence group outcomes. Using data gathered from 363 participants from 61 groups in two Chinese companies, the results reveal that promotive and prohibitive ethical voices at the (...) class='Hi'>group level exert opposing influences on group moral transitive motivation. Group moral transitive motivation serves as a mediating factor in the association between the two types of ethical voice and group ethical behaviors (GEB). In addition, group faultlines moderate the impact of promotive ethical voice and prohibitive ethical voice on group moral transitive motivation and on GEB (via group moral transitive motivation). Our study extends the focus of research from a single type of ethical voice at the individual level to multiple types at the group level. The findings contribute to the body of knowledge regarding group ethical voice (GEV) by articulating its mediating mechanism as well as its boundary condition. This research provides valuable insights for researchers and managers by offering a comprehensive understanding about the role of different types of GEV and how to reform GEV. (shrink)