With this issue of the Journal of Research Practice, we initiate a conceptual framework for thinking and writing about research, defining areas of editorial focus, and indexing work published in the journal. The framework takes the form of a concept hierarchy that offers index terms at three interrelated levels: (1) focus areas for reflection on research practice within which the journal aims to achieve excellence and strengthen its profile and visibility, (2) subject areas relevant to research practice that (...) the journal aims to cover and in terms of which it defines its focus areas, and (3) keywords for capturing the content of research work done in these subject areas or for reflecting and writing about it. Focus areas are characterized by assigned subject areas; subject areas are characterized by assigned keywords. The concept hierarchy is part of a more comprehensive initiative to strengthen the journal's profile and visibility, an initiative that will also include a restructuring of the editorial team and new roles for the journal's dedicated reviewers and active readers. The article introduces an initial version of the concept hierarchy, explains its intended use and further development, and situates it in the larger effort of which it is a part. (shrink)

The notion of “hierarchy” is one of the most commonly posited organizational principles in systems neuroscience. To this date, however, it has received little philosophical analysis. This is unfortunate, because the general concept of hierarchy ranges over two approaches with distinct empirical commitments, and whose conceptual relations remain unclear. We call the first approach the “representational hierarchy” view, which posits that an anatomical hierarchy of feed-forward, feed-back, and lateral connections underlies a signal processing hierarchy (...) of input-output relations. Because the representational hierarchy view holds that unimodal sensory representations are subsequently elaborated into more categorical and rule-based ones, it is committed to an increasing degree of abstraction along the hierarchy. The second view, which we call “topological hierarchy", is not committed to different representational functions or degrees of abstraction at different levels. Topological approaches instead posit that the hierarchical level of a part of the brain depends on how central it is to the pattern of connections in the system. Based on the current evidence, we argue that three conceptual relations between the two approaches are possible: topological hierarchies could substantiate the traditional representational hierarchy, conflict with it, or contribute to a plurality of approaches needed to understand the organization of the brain. By articulating each of these possibilities, our analysis attempts to open a conceptual space in which further neuroscientific and philosophical reasoning about neural hierarchy can proceed. (shrink)

Purpose : The purpose of this paper is to bring the concept of a 'hierarchy of action', as it is currently being used in other fields, into library and information science . Design/methodology/approach Hierarchy theory is adopted to describe three hierarchies of action, which include the human processes of semantic and social innovation, as well as a system of biological interpretence, from which human processes are thought to have evolved as a development of biosemiosis in nature. By (...) way of example, it is argued that a text is a complex achievement, and hierarchy theory shows how to account for this complexity; the everyday definition of text is augmented with accounts from different levels of observation. Findings: The concept of a hierarchy of action enables a person to account for a text as a meaning/symbolic product; include in that account the processes whereby texts are produced and used; and say why these processes are important to the health of the biosphere that is called home. Originality/value Hierarchy of action has been developed as a concept in biology and ecology; it belongs to a way of thinking whereby human reality, like nature, is construed as dynamical processes operating in symbiotic relationship with each other; it has not yet been adopted in LIS with reference to hierarchy theory and its potential is yet to be explored. Keywords Hierarchy theory, Complexity theory, Process philosophy, Natural philosophy, Hierarchies of action, Complex systems, Libraries, Information science Paper type Conceptual paper. (shrink)

The Concept of Hierarchy, as well as various problems, aspects and doctrines attaching to it, was preposterously overrated in Greek philosophy, especially Platonic and Neo-platonic; probably even more so in medieval Scholastic philosophy which attempted to rationalize its supernaturalistic obsession with arguments taken from Greek, chiefly Aristotelian and thus semi-Platonic perfectionalism as a putative “natural” basis for it. Some great exponents of the modern German philosophy of Value, Scheler and Nicolai Hartmann, represent the same tradition in a doubtless (...) more critical and more properly philosophic, less naively metaphysical, but still in a pretty dogmatically intuitional fashion. The counterpart to this we find to be rampant in modern English-speaking philosophy dominated by the thought-style of Logical Positivism, though many of its more recent representatives would disown that label. Mouthpieces of an egalitarian, machine-ridden and utilitarian and functional society intolerant of the idea of kings, aristocrats, slaves, serfs, even rich and poor nay literate and illiterate, these thinkers idolize human “wanting” as such, whatever its contents and characteristics, would reduce all value to “needs” or “desires” and their different “intensities” and in their turn, I venture to say, seek preposterously to evade the very concept of Hierarchy, not only on the plane of social philosophy but also in the context of Axiology. They postulate a flattened world from which the experience of Verticality is all but wholly excluded. (shrink)

The so-called ergodic hierarchy (EH) is a central part of ergodic theory. It is a hierarchy of properties that dynamical systems can possess. Its five levels are egrodicity, weak mixing, strong mixing, Kolomogorov, and Bernoulli. Although EH is a mathematical theory, its concepts have been widely used in the foundations of statistical physics, accounts of randomness, and discussions about the nature of chaos. We introduce EH and discuss its applications in these fields.

In discussions concerning affectivity several points of view, often opposed, are admitted. However, the common point of current standpoints is a belief that affectivity is a homogeneous family of phenomena. This belief leads to problems because the collected data are determined by a kind of accepted approach. In order to achieve a better consideration of these data and to avoid an exclusion of this or that position, another perspective is proposed. Following Max Scheler, we can adopt a hierarchical view of (...) feelings. The distinction between what seems to be different, opposed or even contradictory appears as the result of a distinction of levels of the same general phenomena: affectivity. Scheler is not the only philosopher to sustain a hierarchical conception of feelings. We can refer to Th. Ribot, Plato or R. Ingarden and N. Hartmann. In this, however, a hierarchical conception of feelings results from a more general perspective: a hierarchical conception of psychic reality. Besides a hierarchy of feelings, a second perspective should be added: all feelings are divided into genera and, on the other hand, each genus is divided into species. Genera of feelings are to be understood as modi of experienced relatedness of the ego to the object of feeling, the levels of which are to be understood as units of functions similar in the degree to which a subject of feelings is involved in an act of feeling. (shrink)

In spite of feminist recognition that hierarchical organizations are an important location of male dominance, most feminists writing about organizations assume that organizational structure is gender neutral. This article argues that organizational structure is not gender neutral; on the contrary, assumptions about gender underlie the documents and contracts used to construct organizations and to provide the commonsense ground for theorizing about them. Their gendered nature is partly masked through obscuring the embodied nature of work.jobs and hierarchies, common concepts in organizational (...) thinking, assume a disembodies and universal worker. This worker is actually a man; men's bodies, sexuality, and relationships to procreation and paid work are subsumed in the image of the worker. Images of men's bodies and masculinity pervade organizational processes, marginalizing women and contributing to the maintenance of gender segregation in organizations. The positing of gender-neutral and disembodied organizational structures and work relations is part of the larger strategy of control in industrial capitalist societies, which, at least partly, are built upon a deeply embedded substructure of gender difference. (shrink)

Abstract:This paper examines the idea of xing 性 in Guo Xiang's Commentary on the Zhuangzi in order to show the distinctiveness of Guo's thought. I argue that, for Guo, xing is individualized and subject to no external standard, not even to the "normal" condition proposed by the primitivists in the Zhuangzi. Regarding the debate about xing's changeability, I argue that one's xing can change over time, even by learning, although this change is constrained within certain boundaries. The individualization of xing (...) and the need of holding to one's boundaries serve to explain the emergence of social norms, which can and should be established in a way that respects different xing. This dynamic between individuality and social organization contributes to our thinking about fundamental tensions in human life. (shrink)

According to the hierarchy of models (HoM) account of scientific experimentation developed by Patrick Suppes and elaborated by Deborah Mayo, theoretical considerations about the phenomena of interest are involved in an experiment through theoretical models that in turn relate to experimental data through data models, via the linkage of experimental models. In this paper, I dispute the HoM account in the context of present-day high-energy physics (HEP) experiments. I argue that even though the HoM account aims to characterize experimentation (...) as a model-based activity, it does not involve a modeling concept for the process of data acquisition, and it thus fails to provide a model-based characterization of the theory-experiment relationship underlying this process. In order to characterize the foregoing relationship, I propose the concept of a model of data acquisition and illustrate it in the case of the ATLAS experiment at CERN’s Large Hadron Collider, where the Higgs boson was discovered in 2012. I show that the process of data acquisition in the ATLAS experiment is performed according to a model of data acquisition that specifies and organizes the experimental procedures necessary to select the data according to a predetermined set of selection criteria. I also point out that this data acquisition model is theory-laden, in the sense that the underlying data selection criteria are determined by considering the testable predictions of the theoretical models that the ATLAS experiment is aimed to test. I take this sense of theory-ladenness to indicate that the relationship between the procedures of the ATLAS experiment and the theoretical models of the phenomena of interest is first established, prior to the formation of data models, through the data acquisition model of the experiment, thus not requiring the intermediary of other types of models as suggested by the HoM account. I therefore conclude that in the context of present-day HEP experiments, the HoM account does not consistently extend to the process of data acquisition so as to include models of data acquisition. (shrink)

According to the hierarchy of models account of scientific experimentation developed by Patrick Suppes and elaborated by Deborah Mayo, theoretical considerations about the phenomena of interest are involved in an experiment through theoretical models that in turn relate to experimental data through data models, via the linkage of experimental models. In this paper, I dispute the HoM account in the context of present-day high-energy physics experiments. I argue that even though the HoM account aims to characterize experimentation as a (...) model-based activity, it does not involve a modeling concept for the process of data acquisition, and it thus fails to provide a model-based characterization of the theory-experiment relationship underlying this process. In order to characterize the foregoing relationship, I propose the concept of a model of data acquisition and illustrate it in the case of the ATLAS experiment at CERN’s Large Hadron Collider, where the Higgs boson was discovered in 2012. I show that the process of data acquisition in the ATLAS experiment is performed according to a model of data acquisition that specifies and organizes the experimental procedures necessary to select the data according to a predetermined set of selection criteria. I also point out that this data acquisition model is theory-laden, in the sense that the underlying data selection criteria are determined by considering the testable predictions of the theoretical models that the ATLAS experiment is aimed to test. I take this sense of theory-ladenness to indicate that the relationship between the procedures of the ATLAS experiment and the theoretical models of the phenomena of interest is first established, prior to the formation of data models, through the data acquisition model of the experiment, thus not requiring the intermediary of other types of models as suggested by the HoM account. I therefore conclude that in the context of present-day HEP experiments, the HoM account does not consistently extend to the process of data acquisition so as to include models of data acquisition. (shrink)

Notice --- Hobbes and Adams as Thucydideans --- Ancient Greece --- Alternative Concepts of the Human Condition --- Medieval Monarchy --- Renaissance Republics --- Founding Fathers --- The Moral Recuperation of Self-Interest --- Other Human Worlds --- Now is the Whimper of Our Self-Contempt --- Culture is the Human Nature.

Despite a growing interest in and sympathy with Confucianism, there remains a stereotyped conception of Confucian civil order as a form of authoritarian hierarchy that is responsible for various oppressions in ancient China and is reprehensible from a modern egalitarian perspective. One central target of this modern criticism is the Confucian maxim of sangang 三綱, whose underlying idea is essential for regulating the relationship between sovereign and subject, father and son, and husband and wife in traditional Confucian society. Tu (...) Wei-ming translates sangang as the “Three Bonds” and argues that it is the “least defensible legacy of Confucian ethics” from the “modern egalitarian and liberal perspective.” For Tu.. (shrink)

A trenchant defense of hierarchy in different spheres of our lives, from the personal to the political All complex and large-scale societies are organized along certain hierarchies, but the concept of hierarchy has become almost taboo in the modern world. Just Hierarchy contends that this stigma is a mistake. In fact, as Daniel Bell and Wang Pei show, it is neither possible nor advisable to do away with social hierarchies. Drawing their arguments from Chinese thought and (...) culture as well as other philosophies and traditions, Bell and Wang ask which forms of hierarchy are justified and how these can serve morally desirable goals. They look at ways of promoting just forms of hierarchy while minimizing the influence of unjust ones, such as those based on race, sex, or caste. Which hierarchical relations are morally justified and why? Bell and Wang argue that it depends on the nature of the social relation and context. Different hierarchical principles ought to govern different kinds of social relations: what justifies hierarchy among intimates is different from what justifies hierarchy among citizens, countries, humans and animals, and humans and intelligent machines. Morally justified hierarchies can and should govern different spheres of our social lives, though these will be very different from the unjust hierarchies that have governed us in the past. A vigorous, systematic defense of hierarchy in the modern world, Just Hierarchy examines how hierarchical social relations can have a useful purpose, not only in personal domains but also in larger political realms. (shrink)

This paper seeks to resolve a fairly simple question in ethics: Why do seemingly reasonable people disagree about ethical problems? My paper seeks both to analyze this question and attempts to find a solution. My premise is that disagreement happens because of differences in hierarchical value ranking, or quite simply because some problems are more important to some people than others. Theories of choice, however, influenced by concepts such as "freedom of choice," conceal the hierarchical nature of our choices, leading (...) to confusion over the nature and degree of our ethical disagreements. I propose then that ethical disagreements can be reduced when we understand hierarchy as an essential element in moral choice theory. (shrink)

The Great Chain of Being has been recognized for fifty years as the masterpiece of the History of Ideas movement in America. Lovejoy's work stimulated deeper research into our heritage, which has demonstrated that the idea of the chain of being has not lost its vitality. However, Lovejoy would probably be surprised that hierarchy is now defended in philosophy of science, in ontology and metaphysics, in ethics and aesthetics, and in philosophical anthropology. This volume presents concepts of hierarchy (...) and the great chain of being from Plato, Aristotle, Plotinus, medieval and Renaissance thinkers, Hindu philosophy, and authors of the twentieth century. This volume represents the ideas of twenty scholars, among whom are Dominic O'Meara, Ronald Hathaway, Ewert Cousins, John Sommerfeldt, Lewis Ford, David Blumenthal, and Marion and Paul Kuntz. The editors have compiled a bibliography of four hundred and fifty items and an index of names, places, and concepts which allow the reader immediate access to the variety as well as the unity of ideas. (shrink)

Ce texte vise à proposer quelques arguments pour une critique empiriste de la hiérarchie des normes, c'est-à-dire pour les besoins d'une science du droit descriptive et explicative. La hiérarchie des normes est à la fois objet d’étude scientifique, et théorie construisant cet objet. Une approche empiriste nécessite la formalisation de quelques concepts et une justification minimale de la possibilité d'une science juridique empiriste : ce seront les objets des premiers points de ce texte. Il s'agira ensuite de proposer une formulation (...) de la conception de la hiérarchie des normes à laquelle l’empirisme peut conduire, permettant de réévaluer la théorie (normativiste) de la hiérarchie des normes proposée par Kelsen comme une théorie politique, qui ne décrit pas son objet mais le construit comme contrainte. (shrink)

A trenchant defense of hierarchy in different spheres of our lives, from the personal to the political All complex and large-scale societies are organized along certain hierarchies, but the concept of hierarchy has become almost taboo in the modern world. Just Hierarchy contends that this stigma is a mistake. In fact, as Daniel Bell and Wang Pei show, it is neither possible nor advisable to do away with social hierarchies. Drawing their arguments from Chinese thought and (...) culture as well as other philosophies and traditions, Bell and Wang ask which forms of hierarchy are justified and how these can serve morally desirable goals. They look at ways of promoting just forms of hierarchy while minimizing the influence of unjust ones, such as those based on race, sex, or caste. Which hierarchical relations are morally justified and why? Bell and Wang argue that it depends on the nature of the social relation and context. Different hierarchical principles ought to govern different kinds of social relations: what justifies hierarchy among intimates is different from what justifies hierarchy among citizens, countries, humans and animals, and humans and intelligent machines. Morally justified hierarchies can and should govern different spheres of our social lives, though these will be very different from the unjust hierarchies that have governed us in the past. A vigorous, systematic defense of hierarchy in the modern world, Just Hierarchy examines how hierarchical social relations can have a useful purpose, not only in personal domains but also in larger political realms. (shrink)

Approaches to truth and the Liar paradox seem invariably to face a dilemma: either appeal to some sort of hierarchy, or declare apparently perfectly coherent concepts incoherent. But since both options lead to severe expressive restrictions, neither seems satisfactory. The aim of this paper is a new approach, which avoids the dilemma and the resulting expressive restrictions. Previous approaches tend to appeal to some new sort of semantic value for the truth predicate to take. I argue that such approaches (...) inevitably lead to the dilemma in question. In contrast, the present proposal sticks with classical semantic values, but allows the compositional rules associated with these to admit of exceptions. I show how such an approach can be developed systematically. (shrink)

Some reasons to regard the cumulative hierarchy of sets as potential rather than actual are discussed. Motivated by this, a modal set theory is developed which encapsulates this potentialist conception. The resulting theory is equi-interpretable with Zermelo Fraenkel set theory but sheds new light on the set-theoretic paradoxes and the foundations of set theory.

Brouwer's views on the foundations of mathematics have inspired the study of intuitionistic logic, including the study of the intuitionistic propositional calculus and its extensions. The theory of these systems has become an independent branch of logic with connections to lattice theory, topology, modal logic and other areas. This paper aims to present a modern account of semantics for intuitionistic propositional systems. The guiding idea is that of a hierarchy of semantics, organized by increasing generality: from the least general (...) Kripke semantics on through Beth semantics, topological semantics, Dragalin semantics, and finally to the most general algebraic semantics. While the Kripke, topological, and algebraic semantics have been extensively studied, the Beth and Dragalin semantics have received less attention. We bring Beth and Dragalin semantics to the fore, relating them to the concept of a nucleus from pointfree topology, which provides a unifying perspective on the semantic hierarchy. (shrink)

The main purpose of this article is to discuss what the Ismāilīs, unlike other Muslims, say about the fall of Adam to earth or the reason why man is on earth. In this study in close relation to the subject the hierarchy of existence and the concepts of hadd/hudûd and tawhid that emerge in this context are principally emphasized, for in Ismāilism the emergence of worlds and all kinds of existence occur according to a certain hierarchy. This (...) class='Hi'>hierarchy is also seen as the criterion for determining the divine limits to be obeyed. In this context, a crucial term of hadd or hudûd in its plural form refers to the degrees of all beings, ordered from simple to complex, in their divine station. Parallel to this teaching, the fault Adam committed in eternity is regarded as a kind of crossing the line, for he did not show the required devotion to those who are superior to him. In this context, another important concept dealt with in the article in connection with the subject is tawhid, the Oneness of God, for it should not be forgotten that the Prime Intellect invites the entire Realm of Creation to accept the Oneness of the Creator. The most important rule of responding to this invitation is that creatures in both worlds are to recognize and obey those who are superior to them in order to wake to the principle of tawhid and thus attain perfection. It is emphasized in the article that two forms of explanation, one of which can be considered representative and the other philosophical, come to the fore in Ismāilī classical sources on the subject of Adam's fall to earth. In representative narratives the reason for Adam's being on earth is explained as regaining the position he lost due to the fault he committed in the eternal world. This fault was committed by the spiritual Adam, who represents the whole humanity, not the physical one, and actually symbolizes the defectiveness of Nafs (psyche). The story of Adam's exit from Paradise, which takes place in the Qur’ān, is also interpreted in accordance with this narrative, whereas in more compatible explanations with the philosophy of Neoplatonism, the development of Nafs (psyche) is at the core. Nafs is incomplete because it emerges into the realm of existence after the Intellect. Due to this, the reason orlde creation of the material orld is to make Nafs better with knowledge and wisdom and to ensure its ultimate development. In this case, Nafs realizes itself through Adam, who is its supreme representative on earth. The reason why cosmos initially starts its movement is basically this imperfection of Nafs. Hereby, in both elucidations in the article, it is stated that the emphasis is on the faultiness of nafs. In other words, Nafs or Adam, its earthly form, experiences a loss of station and falls into timely existence due to a deficiency caused by distance from God. For this reason, in order for Nafs to mature or for Adam to regain his original station, the material world must exist and a seven-stage process must be experienced. (shrink)

This article examines intertextuality in digital humour through a combination of tools from pragmatics and decoloniality. The study draws on a dataset of Spanish image macros that intertwine highbrow and lowbrow intertextual references. The analysis is framed by key theoretical concepts at the discursive and hierarchical levels. Specifically, three domains of the colonial matrix of power (knowledge, humanity and governance) are used as analytical categories to identify specific intertextual strategies and hierarchies present in the data. The visual and verbal components (...) of the items are analysed through critical discourse analysis with attention to their salient signs. The use of the colonial matrix of power as an analytical tool for identifying hierarchies in intertextual references stands out as a methodological application with the potential to be further replicated in discourse analysis. (shrink)

The so-called ergodic hierarchy (EH) is a central part of ergodic theory. It is a hierarchy of properties that dynamical systems can possess. Its five levels are egrodicity, weak mixing, strong mixing, Kolomogorov, and Bernoulli. Although EH is a mathematical theory, its concepts have been widely used in the foundations of statistical physics, accounts of randomness, and discussions about the nature of chaos. We introduce EH and discuss how its applications in these fields.

The structure of people’s conceptual knowledge of concrete nouns has traditionally been viewed as hierarchical (Collins & Quillian, 1969). For example, superordinate concepts (vegetable) are assumed to reside at a higher level than basic‐level concepts (carrot). A feature‐based attractor network with a single layer of semantic features developed representations of both basic‐level and superordinate concepts. No hierarchical structure was built into the network. In Experiment and Simulation 1, the graded structure of categories (typicality ratings) is accounted for by the flat (...) attractor network. Experiment and Simulation 2 show that, as with basic‐level concepts, such a network predicts feature verification latencies for superordinate concepts (vegetable ). In Experiment and Simulation 3, counterintuitive results regarding the temporal dynamics of similarity in semantic priming are explained by the model. By treating both types of concepts the same in terms of representation, learning, and computations, the model provides new insights into semantic memory. (shrink)

The requirement of naturalness has long served as an influential constraint on model-building in theoretical particle physics. Yet there are many ways of understanding what, precisely, this requirement amounts to, from restrictions on the amount of fine-tuning that a model can exhibit, to prohibitions on sensitive dependence between physics at different scales, to the requirement that dimensionless parameters defining the Lagrangian of a theory all be of order one unless they are protected by a symmetry. This workshop aims to clarify (...) the relationships among these concepts of naturalness and their connection to the hierarchy problem, as well as to assess arguments for and against imposing various forms of naturalness as a requirement on particle physics model-building. (shrink)

Game theory has played a critical role in elucidating the evolutionary origins of social behavior. Sober and Wilson model altruism as a prisoner's dilemma and claim that this model indicates that altruism arose from group selection pressures. Sober and Wilson also suggest that the prisoner's dilemma model can be used to characterize punishment; hence, punishment too originated from group selection pressures. However, empirical evidence suggests that a group selection model of the origins of altruistic punishment may be insufficient. I argue (...) that examining dominance hierarchies and coalition formation in chimpanzee societies suggests that the origins of altruistic punishment may be best captured by individual selection models. I suggest that this shows the necessity of coupling of game-theoretic models with a conception of what our actual social structure may have been like to best model the origins of our own behavior. ‡I would like to thank Zachary Ernst and Emma Marris for their many helpful comments which greatly improved this paper. †To contact the author, please write to: Department of Philosophy, University of Maryland, Skinner Building, College Park, MD 20742; e-mail: [email protected]. (shrink)

The observation that agents and structures are co-constituted is now commonplace, yet scholars continue to struggle to incorporate this insight. Rationalists tend to overemphasize actors’ agency in the constitution of social order while constructivists tend to overstate the degree to which structures determine action. This article uses The Gift to rethink the agent–structure debate, arguing that the model of social relations Mauss outlines in this work sheds new light on basic concepts in international relations theory such as reciprocity, hierarchy, (...) and obligation. Mauss’ social theory locates the generative structure of social order in diffuse exchange relations, what he terms gift exchange, and assumes that actors are both socially positioned within hierarchical relations of exchange and reflexive agents who are able to understand and strive to change those relations. In so doing, he avoids reducing social order to either deeply internalized social norms or instrumental interests, navigating between ag... (shrink)

I argue that dialetheists have a problem with the concept of logical consequence. The upshot of this problem is that dialetheists must appeal to a hierarchy of concepts of logical consequence. Since this hierarchy is akin to those invoked by more orthodox resolutions of the semantic paradoxes, its emergence would appear to seriously undermine the dialetheic treatments of these paradoxes. And since these are central to the case for dialetheism, this would represent a significant blow to the (...) position itself. (shrink)

We study a notion ofpartial primitive recursion (p.p.r.) including the concept ofparallelism in the context of partial continuous functions of type level one in the sense of [Krei], [Sco82], [Ers]. A variety of subrecursive hierarchies with respect top.p.r. is introduced and it turns out that they all coincide.

The concept of a generalized quantifier of a given similarity type was defined in [12]. Our main result says that on finite structures different similarity types give rise to different classes of generalized quantifiers. More exactly, for every similarity typetthere is a generalized quantifier of typetwhich is not definable in the extension of first order logic by all generalized quantifiers of type smaller thant. This was proved for unary similarity types by Per Lindström [17] with a counting argument. We (...) extend his method to arbitrary similarity types. (shrink)

There is a long line of thinkers in the philosophy of mathematics who have sought to base an account of proof on what might be called a 'metaphysical ordering' of the truths of mathematics. Use the term 'metaphysical' to describe these orderings is intended to call attention to the fact that they are regarded as objective and not subjective and that they are conceived primarily as orderings of truths and only secondarily as orderings of beliefs. -/- I describe and consider (...) two models for such orderings, (i) an implicational model and something I call (ii) a mosaic model. -/- Both models fail to do what such orderings should do. Moreover, in both cases, the trouble arises because the class of truths to be ordered is taken to be closed under various weakening implications. This is a result of their employing a global conception of logic. (shrink)

A previous work by Friedman et al. (Theory and Decision, 61:305–318, 2006) introduces the concept of a hierarchy of a simple voting game and characterizes which hierarchies, induced by the desirability relation, are achievable in linear games. In this paper, we consider the problem of determining all hierarchies, conserving the ordinal equivalence between the Shapley–Shubik and the Penrose–Banzhaf–Coleman power indices, achievable in simple games. It is proved that only four hierarchies are non-achievable in simple games. Moreover, it is (...) also proved that all achievable hierarchies are already obtainable in the class of weakly linear games. Our results prove that given an arbitrary complete pre-ordering defined on a finite set with more than five elements, it is possible to construct a simple game such that the pre-ordering induced by the Shapley–Shubik and the Penrose–Banzhaf–Coleman power indices coincides with the given pre-ordering. (shrink)

The concept of a generalized quantifier of a given similarity type was defined in [12]. Our main result says that on finite structures different similarity types give rise to different classes of generalized quantifiers. More exactly, for every similarity type t there is a generalized quantifier of type t which is not definable in the extension of first order logic by all generalized quantifiers of type smaller than t. This was proved for unary similarity types by Per Lindström [17] (...) with a counting argument. We extend his method to arbitrary similarity types. (shrink)

The aim of this paper is to enrich the algebraic-axiomatic approach to recursion theory developed in [1] by an analogue to the classical arithmetical hierarchy and an abstract notion of degree. The results presented here are rather initial and elementary; indeed, the main problem was the very choice of right abstract concepts.

In the debate on causal explanation in biology, in the past two decades largely influenced by the new mechanist approach, the concept of a pathway has recently reemerged as a promising research agenda, 551-572, 2018; The British Journal for the Philosophy of Science, 72, 131-158, 2021). Ross’ account of biological explanation differentiates several autonomous types of causal structures that play explanatory and other roles across the life sciences. NM, however, prioritizes mechanisms as vehicles of biological explanations. According to this (...) program, the causal architecture of biological pathways and other causal structures, such as cascades and processes, can be interpreted with at least one of the NM’s mechanism concepts. In other words, these alternative causal structures are not sufficiently distinctive to merit the explanatory autonomy with regard to the NM corresponding concepts. We examine the explanatory practice of molecular biology and concur with Ross that there are indeed distinct types of causal structures, not all falling under the concept of a mechanism. Nonetheless, we show that the concept of mechanism is referring to a privileged causal structure, at the center of explanatory efforts in molecular biology. Pathways and other causal concepts, while somewhat distinct from mechanisms themselves, are explanatorily relevant to the degree in which they exhibit mechanistic features, are parts of a mechanistic architecture, or may lead to a mechanistic arrangement. What emerges in that manner is a hierarchy of causal structures with mechanisms at the explanatory top, and lower levels differing in the degree in which they contribute to mechanistic arrangements. (shrink)

During the last few years, several sociological accounts of scientific consensus appeared in which a radically skeptical view of cognitive consensus in science was advocated. Challenging the traditional realist conception of scientific consensus as a sui generis social fact, the radical skeptics claim to have shown that the traditional historical sociologist's supposedly definitive account of scientific consensus is only a linguistic chimera that easily can be deconstructed by the application of different interpretive schema to the given data. I will argue (...) in this article that such an idealistic conception of scientific consensus results from the radical skeptics' failure to take into account the following three factors that are central to the historical sociologist's narrative account of consensus formation: the "judgmental" character of the reconstruction of scientists' beliefs, the hierarchical nature of the consensus change in science, and the importance of the "temporal dimension" in the explanation of scientific consensus formation. To substantiate these three points, I will draw extensively on two recent historical-sociological studies of scientific consensus formation. (shrink)