This paper attempts to reconcile critics and defenders of inclusive fitness by constructing a synthesis that does justice to the insights of both. I argue that criticisms of the regression-based version of Hamilton’s rule, although they undermine its use for predictive purposes, do not undermine its use as an organizing framework for social evolution research. I argue that the assumptions underlying the concept of inclusive fitness, conceived as a causal property of an individual organism, are unlikely (...) to be exactly true in real populations, but they are approximately true given a specific type of weak selection that Hamilton took, on independent grounds, to be responsible for the cumulative assembly of complex adaptation. Finally, I reflect on the uses and limitations of “design thinking” in social evolution research. The debate about the foundations of inclusive fitness theory that has followed in the wake of Nowak, Tarnita and Wilson’s (1) critique has been remarkably polarizing. After several rounds of rebuttals and replies, there is still little evidence of any serious reconciliation between the theory’s critics (2-10) and its defenders (11-24). It doesn’t have to be this way. I believe that, on the main points of disagreement, it is possible to find a way forward that does justice to the insights of both camps. My aim in this paper is to find that way forward. (shrink)

I distinguish two roles for a fitness concept in the context of explaining cumulative adaptive evolution: fitness as a predictor of gene frequency change, and fitness as a criterion for phenotypic improvement. Critics of inclusive fitness argue, correctly, that it is not an ideal fitness concept for the purpose of predicting gene-frequency change, since it relies on assumptions about the causal structure of social interaction that are unlikely to be exactly true in real populations, (...) and that hold as approximations only given a specific type of weak selection. However, Hamilton took this type of weak selection, on independent grounds, to be responsible for cumulative assembly of complex adaptations. In this special context, I argue that inclusive fitness is distinctively valuable as a criterion for improvement and a standard for optimality. Yet to call inclusive fitness a criterion for improvement and a standard for optimality is not to make any claim about the frequency with which inclusive fitness optimization actually occurs in nature. This is an empirical question that cannot be settled by theory alone. I close with some reflections on the place of inclusive fitness in the long running clash between ‘causalist’ and ‘statisticalist’ conceptions of fitness. (shrink)

Individual-as-maximizing agent analogies result in a simple understanding of the functioning of the biological world. Identifying the conditions under which individuals can be regarded as fitness maximizing agents is thus of considerable interest to biologists. Here, we compare different concepts of fitness maximization, and discuss within a single framework the relationship between Hamilton’s (J Theor Biol 7:1–16, 1964) model of social interactions, Grafen’s (J Evol Biol 20:1243–1254, 2007a) formal Darwinism project, and the idea of evolutionary stable strategies. We (...) distinguish cases where phenotypic effects are additive separable or not, the latter not being covered by Grafen’s analysis. In both cases it is possible to define a maximand, in the form of an objective function ϕ(z), whose argument is the phenotype of an individual and whose derivative is proportional to Hamilton’s inclusive fitness effect. However, this maximand can be identified with the expression for fecundity or fitness only in the case of additive separable phenotypic effects, making individual-as-maximizing agent analogies unattractive (although formally correct) under general situations of social interactions. We also feel that there is an inconsistency in Grafen’s characterization of the solution of his maximization program by use of inclusive fitness arguments. His results are in conflict with those on evolutionary stable strategies obtained by applying inclusive fitness theory, and can be repaired only by changing the definition of the problem. (shrink)

Inclusive fitness theory provides conditions for the evolutionary success of a gene. These conditions ensure that the gene is selfish in the sense of Dawkins (The selfish gene, Oxford University Press, Oxford, 1976): genes do not and cannot sacrifice their own fitness on behalf of the reproductive population. Therefore, while natural selection explains the appearance of design in the living world (Dawkins in The blind watchmaker: why the evidence of evolution reveals a universe without design, W. W. (...) Norton, New York, 1996), inclusive fitness theory does not explain how. Indeed, Hamilton’s rule is equally compatible with the evolutionary success of prosocial altruistic genes and antisocial predatory genes, whereas only the former, which account for the appearance of design, predominate in successful organisms. Inclusive fitness theory, however, permits a formulation of the central problem of sociobiology in a particularly poignant form: how do interactions among loci induce utterly selfish genes to collaborate, or to predispose their carriers to collaborate, in promoting the fitness of their carriers? Inclusive fitness theory, because it abstracts from synergistic interactions among loci, does not answer this question. Fitness-enhancing collaboration among loci in the genome of a reproductive population requires suppressing alleles that decrease, and promoting alleles that increase the fitness of its carriers. Suppression and promotion are effected by regulatory networks of genes, each of which is itself utterly selfish. This implies that genes, and a fortiori individuals in a social species, do not maximize inclusive fitness but rather interact strategically in complex ways. It is the task of sociobiology to model these complex interactions. (shrink)

Inclusive fitness has been under intense scrutiny in recent years, with many critics claiming the framework leads to incorrect predictions. We consider one particularly influential heuristic for estimating inclusive fitness in the context of the very case that motivated reliance on it to begin with: the Sir Philip Sidney signalling game played with relatives. Using a neighbour-modulated fitness model, we show when and why this heuristic is problematic. We argue that reliance on the heuristic rests (...) on a misunderstanding of what it means for two organisms to be related and perpetuates a mischaracterization of the role of the ‘relatedness’ parameter in inclusive fitness. _1_ Introduction _2_ Heuristic Inclusive Fitness _3_ The Sir Philip Sidney Game _4_ Model _5_ Results _6_ Conclusion Appendix. (shrink)

Altruism is a central concept in evolutionary biology. Evolutionary biologists still disagree about its meaning (E.O. Wilson 2005; Fletcher et al. 2006; D.S. Wilson 2008; Foster et al. 2006a, b; West et al. 2007a, 2008). Semantic disagreement appears to be quite robust and not easily overcome by attempts at clarification, suggesting that substantive conceptual issues lurk in the background. Briefly, group selection theorists define altruism as any trait that makes altruists losers to selfish traits within groups, and makes groups of (...) altruists fitter than groups of non-altruists. Inclusive fitness theorists reject a definition based on within- and between-group fitness. Traits are altruistic only if they cause a direct and absolute fitness loss to the donor. The latter definition is more restrictive and rejects as cases of altruism behaviors that are accepted by the former. Fletcher and Doebeli (2009) recently proposed a simple, direct and individually based fitness approach, which they claim returns to first principles: carriers of the genotype of interest “must, on average, end up with more net direct fitness benefits than average population members.” This seductively simple proposal uses the concept of assortment to explain how diverse kinds of altruists end up on average with more net fitness than their non-altruistic rivals. In this paper I shall argue that their approach implies a new concept of altruism that contrasts with and improves on the concept of the inclusive fitness approach. (shrink)

ABSTRACT In social evolution theory, biological individuals are often represented on the model of rational agents, that is, as if they were ‘seeking’ to maximize their own reproductive success. In the 1990s, important criticisms of this mode of thinking were made by Brian Skyrms and Elliott Sober, who both argued that ‘rational agent’ models can lead to incorrect predictions when there are positive correlations between individuals’ phenotypes. In this article, I argue that one model of rational choice—namely, Savage’s model —can (...) actually be vindicated in evolutionary biology, provided that the pay-offs are computed in inclusive fitness terms. I also show that the use of this model is better avoided when pay-offs are non-additive, or when certain causal influences affect the outcome of natural selection. The result is a partial rehabilitation of this mode of thinking, conditional on both the additivity of the pay-off structure and the absence of any form of manipulation or coercion. _1_ Introduction _2_ When Natural Selection and Rational Deliberation Part Ways _3_ A Simple Solution: Redefining the Pay-offs in Inclusive Fitness Terms _4_ Sober on Inclusive Fitness Maximization _5_ Inclusive Fitness with Non-additive Pay-offs _6_ Causal Influences and the Savage– Hamilton Model _6.1_ Reciprocity and partner choice _6.2_ Coercion and manipulation _7_ Conclusion Appendix. (shrink)

In social evolution theory, biological individuals are often represented on the model of rational agents, that is, as if they were ‘seeking’ to maximize their own (expected) reproductive success. In the 1990s, important criticisms of this mode of thinking were made by Brian Skyrms ([1994], [1996]) and Elliott Sober ([1998]), who both argued that ‘rational agent’ models can lead to incorrect predictions when there are positive correlations between individuals’ phenotypes. In this article, I argue that one model of rational choice—namely, (...) Savage’s model ([1954])—can actually be vindicated in evolutionary biology, provided that the pay-offs are computed in inclusive fitness terms. I also show that the use of this model is better avoided when pay-offs are non-additive, or when certain causal influences (due to manipulative behaviours) affect the outcome of natural selection. The result is a partial rehabilitation of this mode of thinking, conditional on both the additivity of the pay-off structure and the absence of any form of manipulation or coercion. 1 Introduction2 When Natural Selection and Rational Deliberation Part Ways3 A Simple Solution: Redefining the Pay-offs in Inclusive Fitness Terms4 Sober on Inclusive Fitness Maximization5 Inclusive Fitness with Non-additive Pay-offs6 Causal Influences and the Savage– Hamilton Model6.1 Reciprocity and partner choice6.2 Coercion and manipulation7 ConclusionAppendix. (shrink)

This article is about the analogy between inclusive fitness and utility. In behavioral ecology, it is often assumed that individual organisms behave as if they were “striving” to maximize their inclusive fitness—a measure analogue to the kind of utility function that is used to represent the preferences of rational agents. Here, I explore some conceptual puzzles related to this view and question whether the kind of biological utility posited by the advocates of the “maximizing agent analogy” (...) can be adequately interpreted in inclusive fitness terms. (shrink)

Philosophers have shown that the Aristotelian conception of mind and body is capable of resolving the problems confronting dualism. In this paper the resolution of the mind–body problem is extended with a scientific solution by integrating the Aristotelian framework with evolutionary theory. It is discussed how the theories of Fisher and Hamilton enable us to construct and solve hypotheses about how the mind evolved out of matter. These hypotheses are illustrated by two examples: the evolutionary transition from cells to multicellular (...) organisms, and the evolutionary transition from babbling to doing things with words and later reasoning and giving reasons. The first transitions resulted in the sensitive psyche of the other animals, the second in the rational psyche of humans. It is discussed how exploratory behaviour of lower-level entities facilitated these evolutionary transitions. (shrink)

Competition over reproductive opportunities among members of one sex often harms the opposite sex, creating a conflict of interest between individual males and females. Recently, this battle of the sexes has become a paradigm in the study of intersexual coevolution. Here, we review recent theoretical and empirical advances suggesting that – as in any scenario of intraspecific competition – selfishness (competitiveness) can be influenced by the genetic relatedness of competitors. When competitors are positively related (e.g. siblings), an individual may refrain (...) from harming its competitor(s) and their mate(s) because this can improve the focal individual's inclusive fitness. These findings reveal that population genetic structure might be of paramount importance when studying the battle of the sexes. We conclude by identifying some new lines of research at the interface of sexual selection and social evolution. (shrink)

Grouping severe mental disorders into a global category is likely to lead to a “theory of everything” which forcefully explains everything and nothing. Speculation even at the phenotypic level of the single disorder cannot be fruitful, unless specific and testable models are proposed. Inclusive fitness must be incorporated in such models. (Published Online November 9 2006).

We show how Richard Jeffrey’s The Logic of Decision provides the proper formalism for calculating expected fitness for correlated encounters in general. As an illustration, some puzzles about kin selection are resolved.

We show how Richard Jeffrey's The Logic of Decision provides the proper formalism for calculating expected fitness for correlated encounters in general. As an illustration, some puzzles about kin selection are resolved.

This article analyzes the recent debate surrounding inclusive fitness and argues that certain limitations ascribed to it by critics—such as requiring weak selection or providing dynamically insufficient models—are better thought of as limitations of the methodological framework most often used with inclusive fitness. In support of this, I show how inclusive fitness can be used with the replicator dynamics. I conclude that much of the debate is best understood as being about the orthogonal issue (...) of using abstract versus idealized models. (shrink)

Due to the intense selection pressure against inbreeding, humans are expected to possess psychological adaptations that regulate mate choice and avoid inbreeding. From a gene’s-eye perspective, there is little difference in the evolutionary costs between situations where an individual him/herself is participating in inbreeding and inbreeding among other close relatives. The difference is merely quantitative, as fitness can be compromised via both routes. The question is whether humans are sensitive to the direct as well as indirect costs of inbreeding. (...) Using responses from a large population-based sample (27,364 responses from 2,353 participants), we found that human motivations to avoid inbreeding closely track the theoretical costs of inbreeding as predicted by inclusive-fitness theory. Participants were asked to select in a forced choice paradigm, which of two acts of inbreeding with actual family members they would want to avoid most. We found that the estimated fitness costs explained 83.6% of participant choices. Importantly, fitness costs explained choices also when the self was not involved. We conclude that humans intuit the indirect fitness costs of mating decisions made by close family members and that psychological inbreeding avoidance mechanisms extend beyond self-regulation. (shrink)

Hamilton’s theory of inclusive fitness is a widely used framework for studying the evolution of social behavior, but controversy surrounds its status. Hamilton originally derived his famous rb > c rule for the spread of a social gene by assuming additivity of costs and benefits. However, it has recently been argued that the additivity assumption can be dispensed with, so long as the −c and b terms are suitably defined, as partial regression coefficients. I argue that this way (...) of generalizing Hamilton’s rule to the nonadditive case, while formally correct, faces conceptual problems. (shrink)

Hamilton’s theory of inclusive fitness is a widely used framework for studying the evolution of social behavior, but controversy surrounds its status. Hamilton originally derived his famous rb > c rule for the spread of a social gene by assuming additivity of costs and benefits. However, it has recently been argued that the additivity assumption can be dispensed with, so long as the −c and b terms are suitably defined, as partial regression coefficients. I argue that this way (...) of generalizing Hamilton’s rule to the nonadditive case, while formally correct, faces conceptual problems. (shrink)

Hamilton introduced two conceptions of social fitness, which he called neighbour-modulated fitness and inclusive fitness. Although he regarded them as formally equivalent, a re-analysis of his own argument for their equivalence brings out two important assumptions on which it rests: weak additivity and actor's control. When weak additivity breaks down, neither fitness concept is appropriate in its original form. When actor's control breaks down, neighbour-modulated fitness may be appropriate, but inclusive fitness is (...) not. Yet I argue that, despite its more limited domain of application, inclusive fitness provides a distinctively valuable perspective on social evolution. (shrink)

Voelker offers a powerful, inclusive practice that is appropriate for new students or long-time practitioners-and can easily be adopted by yoga instructors, educators, medical professionals, exercise professionals, caretakers, or community workers for work with their clients, students, and patients. This book highlights 40 active and restorative poses, including individual and partner poses, breathing techniques, and meditation practices, all adapted so that students never have to leave their chairs. For every pose, Voelker offers at least three different ways of experiencing (...) it, depending on an individual's level of flexibility and suggests ways to incorporate breath work and chanting. Voelker includes healthy lifestyle, practices and teaching tips, along with yoga philosophy "lessons" throughout. Voelker believes that yoga is only yoga when you make it your own; otherwise it's just exercise. It becomes therapeutic, and even transformational, when the poses, breathing techniques, and meditation practices morph and change to fit your unique body, mind, and heart. The yoga she presents is designed to encourage you to experience the joy in every pose; to celebrate your unique qualities; and to stretch your imagination and creativity, as well as your body and your mind, in ways that feel just right for you. (shrink)

Throughout scientific history, there have been cases of mainstream science dismissing novel ideas of less prominent researchers. Nowadays, many researchers with different social and academic backgrounds, origins and gender identities work together on topics of crucial importance. Still, it is questionable whether the privileged groups consider the views of underprivileged colleagues with sufficient attention. To profit from the diversity of thoughts, the scientific community first has to be open to minority viewpoints and epistemically include them in mainstream research. Moreover, the (...) idea of inclusive science poses stronger requirements than the paradigm of open science. We argue that the concept of integration of different opinions is insufficient because the process of integration assumes adjusting oneself to the majority view and fitting into the dominant paradigm while contributing only with smaller amendments. Epistemic inclusion, on the other hand, means dynamically changing the research paradigm during the interaction with diverse methods and hypotheses. The process of inclusion preserves marginalized views and increases epistemic justice. (shrink)

Patterns of human kinship commonly involve preferential treatment of relatives based on lineal descent (lineages) rather than degree of genetic relatedness (kindreds), presenting a challenge for inclusive fitness theory. Here, we examine effects of lineage and kindred characteristics on reproductive success (RS) and number of grandchildren for 130 men and 124 women in a horticultural community on Dominica. Kindreds had little effect on fitness independently of lineage characteristics. Fitness increased with the number of lineal relatives residing (...) in the community but decreased beyond an apparently optimal lineage size, suggesting resource enhancement and competition among kin. Female-biased patrilineage sex ratio was positively associated with men’s fitness, while male-biased matrilineage sex ratio was positively associated with women’s fitness. Number of brothers in the community was negatively associated with men’s, but not women’s, fitness. Parents and number of sisters had no effect on either male or female reproduction; however, women with younger sisters had higher RS, suggesting benefits of kin support for childcare. In sum, imposed norms for lineage social organization may enhance lineal ancestors’ inclusive fitness at a cost to individual inclusive fitness. (shrink)

This article describes and defends an inclusive anti-canonical approach to the study of the history of philosophy. Its proposal, based on an analysis of the nature of the history of philosophy and the value of engaging in the practice, is this: The history of philosophy is the history of rationally justified, systematic answers to philosophical questions; studying this subject is both intrinsically and instrumentally valuable; these benefits do not derive from the imposition of a canon—indeed, there should be no (...) canon; the absence of a canon leaves room for a thousand courses on a thousand different topics with a thousand different narrative structures; but a good syllabus should be relevantly diverse in a way that fits the thematic arc of the course; and this prescription for the discipline is inclusive, in ways that can only strengthen and enliven it for future generations. (shrink)

Business is expected to contribute to grand challenges (GC) such as poverty within their corporate social responsibilities. Multi‐stakeholder initiatives (MSIs) have developed to a popular governance model to address GC. While existing scholarship has discussed the positive and negative aspects of MSIs, we know relatively little about how corporations within MSIs are held accountable. The objective of the study is to analyze the dynamics of accountability relationships between the corporate actor and the accountability forum to conceive a process model for (...) effective accountability relationships in developing countries. We conducted an inductive study which explored the tensions the accountability forum perceives in MSI accountability relationships and the criteria to meet the forum's accountability claims. Our study identified four accountability criteria: transparency, inclusion, procedural fairness, and efficacy. Our main theoretical claim is that considering the four accountability criteria in the process of facilitating, dialoguing, and evaluating allows affected stakeholders to validate and match legitimacy claims with their own expectations, and thus, manage MSIs more effectively. Our contribution to existing scholarship on MSIs in developing countries is that we offer a novel perspective on analyzing the effectiveness of MSIs to address GC through our focus on one element of MSIs––specifically accountability. Beyond academic theorizing, this perspective may well hold value for nongovernmental organizations, policymakers, and business managers as it advances a concept of responsibility based on a set of accountability criteria which have the potential to become a cornerstone for how MSI members can organize to effectively address GC in developing countries. (shrink)

Despite the reality of intersex individuals whose biological markers do not necessarily all point towards a traditional binary understanding of either male or female, the vast majority of sports divide competition into categories based on a binary notion of biological sex and develop policies and regulations to police the divide. In so doing, sports governing bodies (SGBs) adopt an imperfect model of biological sex in order to serve their particular purposes, which, typically, will include protecting the fundamental sporting value of (...) fair competition. Yet, one potential consequence of enforcing such an approach would seem to be the exclusion or marginalization of individuals whose biological development does not fit within the binary model, whether due to genetics or through a choice to undergo medical intervention to better represent a chosen gender identity. Any such exclusion or marginalization will inevitably tend to undermine another fundamental value of sport, that of inclusivity. In the context of those with differences of sex development, SGBs appear to be faced with a difficult problem: dealing with a conflict between two fundamental values of sport. Different approaches to this problem have been suggested, with some academics proposing that sports organisations, in general, ought to prioritise fairness above, while others suggest the need to ‘balance’ competing values or even to prioritise inclusion over fairness. However, it is argued that any of these approaches are, in principle, justifiable as any sport should be free to prioritise or balance its own values. What seems more important for any SGB is the need for a rational and transparent justification of regulations that pursue fair competition at the expense of inclusivity. Furthermore, where fair competition and inclusivity are fundamental values, any such justification would seem to demand adherence to some basic norms. First, the regulations should be built on (and articulate) a consistent and principled basis of what ‘fair competition’ means in a particular sport. Second, any regulations should only exclude or restrict participation to the minimum degree necessary to achieve the sense of fair competition so articulated. Third, SGBs should be transparent about what their values are and where their priorities lie so that participants and other stakeholders are able to make an informed choice as to whether they wish to participate in, support, or be associated with a particular sport. With reference to the adoption of the Eligibility Regulations for Athletes with Differences of Sex Development (the ‘DSD Regulations’) by the International Association of Athletic Federations (IAAF), this article seeks to evaluate whether the approach of the IAAF satisfied these basic requirements. (shrink)

People with severe learning disability are particularly difficult to include in the research process. As a result, researchers may be tempted to focus on those with learning disability who can be included. The problem is exacerbated in this field as the political agenda of inclusion and involvement is driven by those people with learning disability who are the higher functioning. To overcome this we should first detach the notion of consent from ideas about autonomy and think instead of it as (...) a way to avoid wronging others; this fits the original historical use of consent in research. This allows us to think in terms of including participants to the best of their abilities rather than in terms of a threshold of autonomy. Researchers could then use imaginative ways to include the least able and to ensure they are not wronged in research or by exclusion from it. (shrink)

ABSTRACT Research suggests that ethical leadership affects employee behavior and organizational functioning. This study aimed to determine the relationship between EL and productive energy, as mediated by person-organizational fit. The study used assumptions of the social learning and social exchange theories that posit that leadership has a direct impact on employee behavior, mainly through role modeling and the reciprocal nature thereof. An empirical paradigm using a cross sectional quantitative design was used. The PE instrument was assessed for construct validity within (...) the South African context. The analysis included a comparison between the private and public sectors, emphasizing the importance of context as differentiator. Relatively high, statistically significant correlations were found between the variables for both sectors and the combined sample. The hierarchical regression analysis indicated that 18% of the variance in PE is explained by EL. This model was improved by the inclusion of POF. The conceptual model was confirmed with structural equation modeling. The findings of this study suggest that EL has a significantly positive effect on PE and POF, which mediates the relationship between EL and PE. Sectoral differences were reported. (shrink)

Following Wallace’s suggestion, Darwin framed his theory using Spencer’s expression “survival of the fittest”. Since then, fitness occupies a significant place in the conventional understanding of Darwinism, even though the explicit meaning of the term ‘fitness’ is rarely stated. In this paper I examine some of the different roles that fitness has played in the development of the theory. Whereas the meaning of fitness was originally understood in ecological terms, it took a statistical turn in terms (...) of reproductive success throughout the 20th Century. This has lead to the ever-increasing importance of sexually reproducing organisms and the populations they compose in evolutionary explanations. I will argue that, moving forward, evolutionary theory should look back at its ecological roots in order to be more inclusive in the type of systems it examines. Many biological systems can only be satisfactorily accounted for by offering a non-reproductive account of fitness. This argument will be made by examining biological systems with very small or transient population structures. I argue this has significant consequences for how we define Darwinism, increasing the significance of survival over that of reproduction. (shrink)

The public controversy over genetically modified crops is predominantly framed in terms of concerns over health and safety. Within this framing, the primary point of controversy is whether GM foods are likely to cause bio-physiological injury or disease to human consumers; a secondary issue, but one that still fits within the health and safety framing, is whether the cultivation of GM crops is likely to cause bio-physiological injury or disease to non-target species or ecosystems more broadly. Proponents of the development (...) and... (shrink)

My purpose in this paper is to set forth a case for inclusion, without any restriction whatsoever, of gays and lesbians in the legal definition of marriage within the various jurisdictions within the United States of America. Historical and cross cultural definitions of marriage are usually based on two basic premises or components, structure and function. Structural definitions of marriage, with which most people and jurisdictions identify, are based on exclusion and inclusion, i.e. on who is eligible for inclusion and (...) who must be excluded. Ordinarily the restrictions exclude those not having reached the age of majority, those who are not judged mentally competent, and those of the same gender. Functional definitions of marriage are based on the willingness of the partners to engage in the duties and responsibilities to each other and to all offspring regardless of their physical or mental fitness. I intend to defend the proposition that legal marriage for gays and lesbians is better defined and defended when based on function rather than structure. Specifically, this means that marriage is the union of those who 1.) without mental equivocation embrace their mutual commitment to support and care for each other; 2.) are of legal age; 3.) are of sound mind; and 4.) affirm their commitment to fulfill, to the best of their ability, the following functions as they pertain to the natural birth, legal adoption, or foster care of any and all children included in the marital union: These functions include but are not limited to: protection , economic, affect-giving, socialization, acculturation, education, and sexual access between the conjugal partners. Historically, there is no record throughout the history of humankind, of any state or body politic that does not profess a vested interest in the mate selection patterns of its young. This is not generally for the edification of the married, but rather for the assurance of the socialization and acculturation of the ascending generation. (shrink)

Drawing on Merleau-Ponty’s “lived body” theory, we argue for a shift towards a lived-experience and body-specific curriculum in South Africa. Such a curriculum would view learning as a lived, embodied, social and culturally contextualised field. Its central aim would be to draw the learner into a plane of consciousness conducive to being awakened to the act of learning through an attitude of full attention. We specifically use the term “body-specific” to imply, as opposed to a one-size-fits-all curriculum model, one in (...) which lived experience and the “body” form the conceptual basis on which the curriculum is built. Consequently, we reject the orthodox cognitive conception of the curriculum which views learning as a mental exercise oriented towards the acquisition of pre-designed knowledge that is “outer fixed” and “inner constructed”. In contrast, we propose that learning should be outwardly constructed through lived experience and inwardly fixed as knowledge develops against the pre-noetic background of the lived world. Underpinning this is the essentially Merleau-Pontian notion that the knowledge we hold originates from our relationships with this world that are embodied in experience, and our engagements within society and culture. The “inner” and “outer” shift in learning infers a switch from pure, disciplinary, homogeneous, expert-led, supply-driven, hierarchical, peer-reviewed and almost exclusively university-based learning to experience-based, applied, problem-centred, trans-disciplinary, heterogeneous, hybrid, demand-driven learning. In such a curriculum, the role of the teacher would be to focus on how the world arranges itself around the learner and to guide learners to see how the world reveals itself to them through their personal lived experience. (shrink)

This is a thorough treatment of first-order modal logic. The book covers such issues as quantification, equality (including a treatment of Frege's morning star/evening star puzzle), the notion of existence, non-rigid constants and function symbols, predicate abstraction, the distinction between nonexistence and nondesignation, and definite descriptions, borrowing from both Fregean and Russellian paradigms.

Several modern commentators of Dignaga have puzzled over the 5th century Buddhist philosopher1s theory of the triple condition of the inferential sign. Th. Stcherbatsky (1932), Richard Hayes (1988) and Bimal K. Matilal (1986) have wondered at the reasons for Dignaga’s insistence on the inclusion of the secondcondition, which seems to be the logical equivalent of the third condition. Do the three criteria together furnish patterns of valid inference which differ from those patterns furnished by criteria one and three alone? In (...) this paper, I detail three types of cases which underline the importance of the inclusion of the second criterion. (shrink)

Bilattices, due to M. Ginsberg, are a family of truth value spaces that allow elegantly for missing or conflicting information. The simplest example is Belnap’s four-valued logic, based on classical two-valued logic. Among other examples are those based on finite many-valued logics, and on probabilistic valued logic. A fixed point semantics is developed for logic programming, allowing any bilattice as the space of truth values. The mathematics is little more complex than in the classical two-valued setting, but the result provides (...) a natural semantics for distributed logic programs, including those involving confidence factors. The classical two-valued and the Kripke/Kleene three-valued semantics become special cases, since the logics involved are natural sublogics of Belnap’s logic, the logic given by the simplest bilattice. (shrink)

A new semantics is presented for the logic of proofs (LP), [1, 2], based on the intuition that it is a logic of explicit knowledge. This semantics is used to give new proofs of several basic results concerning LP. In particular, the realization of S4 into LP is established in a way that carefully examines and explicates the role of the + operator. Finally connections are made with the conventional approach, via soundness and completeness results.

Kleene’s strong three-valued logic extends naturally to a four-valued logic proposed by Belnap. We introduce a guard connective into Belnap’s logic and consider a few of its properties. Then we show that by using it four-valued analogs of Kleene’s weak three-valued logic, and the asymmetric logic of Lisp are also available. We propose an extension of these ideas to the family of distributive bilattices. Finally we show that for bilinear bilattices the extensions do not produce any new equivalences.

Two families of many-valued modal logics are investigated. Semantically, one family is characterized using Kripke models that allow formulas to take values in a finite many-valued logic, at each possible world. The second family generalizes this to allow the accessibility relation between worlds also to be many-valued. Gentzen sequent calculi are given for both versions, and soundness and completeness are established.