Dienes & Perner (D&P) argue that nondeclarative knowledge can take multiple forms. We provide empirical support for this from two related lines of research about the development of mathematical reasoning. We then describe how different forms of procedural and declarative knowledge can be effectively modeled in Anderson's ACT-R theory, contrasting this computational approach with D&P's logical approach. The computational approach suggests that the commonly observed developmental progression from more implicit to more explicit knowledge can be viewed as a consequence of (...) accumulating and strengthening mental representations. (shrink)
Gesture does not have a fixed position in the Dienes & Perner framework. Its status depends on the way knowledge is expressed. Knowledge reflected in gesture can be fully implicit (neither factuality nor predication is explicit) if the goal is simply to move a pointing hand to a target. Knowledge reflected in gesture can be explicit (both factuality and predication are explicit) if the goal is to indicate an object. However, gesture is not restricted to these two extreme positions. When (...) gestures are unconscious accompaniments to speech and represent information that is distinct from speech, the knowledge they convey is factuality-implicit but predication-explicit. (shrink)
An allocation problem is a type of aggregation problem in which the values of individuals' opinions on some set of variables (canonically a set of mutually exclusive and exhaustive possibilities) sum to a constant. This paper shows that for realistic allocation problems, namely ones in which the set of possible opinion values is finite, the only universal aggregation methods that satisfy two commonly invoked conditions are the dictatorial ones. The two conditions are, first, that the aggregate opinion on any variable (...) depends only on the individuals' opinions on that variable and not on their opinions on any other variable and, secondly, that the aggregate opinion minimally preserves unanimous individual opinion. Connections between this result and similar ones in the literature on judgment aggregation are explored and their significance assessed. (shrink)
Abstract. Suppose that several individuals who have separately assessed prior probability distributions over a set of possible states of the world wish to pool their individual distributions into a single group distribution, while taking into account jointly perceived new evidence. They have the option of (i) first updating their individual priors and then pooling the resulting posteriors or (ii) first pooling their priors and then updating the resulting group prior. If the pooling method that they employ is such that they (...) arrive at the same final distribution in both cases, the method is said to be externally Bayesian, a property first studied by Madansky (1964). We show that a pooling method for discrete distributions is externally Bayesian if and only if it commutes with Jeffrey conditioning, parameterized in terms of certain ratios of new to old odds, as in Wagner (2002), rather than in terms of the posterior probabilities of members of the disjoint family of events on which such conditioning originates. (shrink)
Meike Wagner and Wolf-Dieter Ernst Performing the Matrix. Mediating Cultural Performances Neo: The matrix? Morpheus: Do you want to know what it is? ...
A decision problem in which the values of the decision variables must sum to a fixed positive real number s is called an "allocation problem," and the problem of aggregating the allocations of n experts the "allocation aggregation problem." Under two simple axiomatic restrictions on aggregation, the only acceptable allocation aggregation method is based on weighted arithmetic averaging (Lehrer and Wagner, Rational Consensus in Science and Society, 1981). In this note it is demonstrated that when the values assigned to (...) the variables are restricted to a finite set (as is always the case in practice), the aforementioned axioms allow only dictatorial aggregation. (shrink)
Garber (1983) and Jeffrey (1991, 1995) have both proposed solutions to the old evidence problem. Jeffrey's solution, based on a new probability revision method called reparation, has been generalized to the case of uncertain old evidence and probabilistic new explanation in Wagner 1997, 1999. The present paper reformulates some of the latter work, highlighting the central role of Bayes factors and their associated uniformity principle, and extending the analysis to the case in which an hypothesis bears on a countable (...) family of evidentiary propositions. This extension shows that no Garber-type approach is capable of reproducing the results of generalized reparation. (shrink)
Cornelius Castoriadis is one of the very few social and political philosophers - modern and ancient - for whom a concept of imagination is truly central. In his work, however, the role of imagination is so overarching that it becomes difficult to grasp its workings and consequences in detail, in particular in its relation to democracy as the political form in which autonomy is the core imaginary signification. This article will proceed by first suggesting some clarifications about Castoriadis's employment of (...) the concept. This preparatory exploration will allow us in a second step to discuss why the idea of democracy is closely linked to tragedy, and why this linkage in turn is dependent on the centrality of imagination for human action. In a third conceptual step, finally, we suggest that any concept of imagination will need to take into account the plurality and diversity of the outcomes of the power of imagination. Thus, the question of the nature of the novelty that imagination creates needs to be addressed as well as the one of the agon in the face of different imagined innovations in a given democratic political setting. As a consequence of this shift in emphasis, to be elaborated further, one will be able to say more about one question of which Castoriadis was well aware, which he never addressed himself in detail, though: the decline and end of polities and political forms, the question of political mortality. Content Type Journal Article Pages 12-28 Authors Nathalie Karagiannis, University of Barcelona Peter Wagner, University of Barcelona Journal Critical Horizons: A Journal of Philosophy & Social Theory Online ISSN 1568-5160 Print ISSN 1440-9917 Journal Volume Volume 13 Journal Issue Volume 13, Number 1 / 2012. (shrink)
By advocating an enlightened method of theorizing committed to thinking in terms of a system of differences, Luhmann has contributed to the development of sociology in a manner that cannot be praised enough. Nonetheless, he does not succeed in giving an account of his own position that satisfies the very logical preconditions that he himself has formulated for it. Instead, his systems theory paradigm of sociology is based on metaphysical premises characteristic of the identity-logical thought of "Old Europe." In fact, (...) the only way to make Luh mann's approach truly comprehensible is to reconstruct it as a new version of Hegel's dialectic. (shrink)
Taking his critique of totalitarianizing conceptions of community as a starting point, this text examines Jean-Luc Nancy's work of an "ontology of plural singular being" for its political implications. It argues that while at first this ontology seems to advocate a negative or an anti-politics only, it can also be read as a "theory of communicative praxis" that suggests a certain ethos - in the form of a certain use of symbols (which is expressed only inaptly by the word "style") (...) that would render the ontological plurality of singulars perceptible and practically effective. Finally, some recent texts by Nancy even sidestep the ontology of being-with and face the question of what politics, faced with demands of justice, could be and what a democratic politics could provide. Both of these aspects in Nancy's work, however, still remain to be spelled out more politically. (shrink)
Part I: Dimensions of time's enigma -- Is time real? -- Eleaticism, temporality, and time -- The makings of a temporal universe -- Pastness and futurity -- Synchronicity and synchronicity -- Temporal pace and measurement -- Presentness or the present -- Aristotle's real account of time -- Parmenidean time and the impossible now -- Cosmic motion and the speed of time -- Time as the motion of the cosmos -- Time as the cosmos itself -- Time as motion and all (...) change -- Temporal cognition and the return of the now -- Real temporality in an Aristotelian world -- Does Aristotle refute eleaticism? -- Bisection argument I -- Bisection argument II -- Bisection argument III -- Plotinus' vitalistic platonism and the real origins of time -- Temporality, eternality, and Plotinus' new metaphysic -- Plotinus' critique of Aristotelian motion -- Indefinite temporality and the measure of motion -- Plotinus' neoplatonic account of time. (shrink)
This paper argues in defense of theanti-reductionist consensus in the philosophy ofbiology. More specifically, it takes issues with AlexRosenberg's recent challenge of this position. Weargue that the results of modern developmentalgenetics rather than eliminating the need forfunctional kinds in explanations of developmentactually reinforce their importance.
Systems involving many interacting variables are at the heart of the natural and social sciences. Causal language is pervasive in the analysis of such systems, especially when insight into their behavior is translated into policy decisions. This is exemplified by economics, but to an increasing extent also by biology, due to the advent of sophisticated tools to identify the genetic basis of many diseases. It is argued here that a regularity notion of causality can only be meaningfully defined for systems (...) with linear interactions among their variables. For the vastly more important class of nonlinear systems, no such notion is likely to exist. This thesis is developed with examples of dynamical systems taken mostly from mathematical biology. It is discussed with particular reference to the problem of causal inference in complex genetic systems, systems for which often only statistical characterizations exist. (shrink)
Individuals are faced with the many opportunities to pirate. The decision to pirate or not may be related to an individual''s attitudes toward other ethical issues. A person''s ethical and moral predispositions and the judgments that they use to make decisions may be consistent across various ethical dilemmas and may indicate their likelihood to pirate software. This paper investigates the relationship between religion and a theoretical ethical decision making process that an individual uses when evaluating ethical or unethical situations. An (...) ethical decision making model was studied for general unethical scenarios and for the unethical behavior of software piracy. The research model was tested via path analysis using structural equation modeling and was found to be appropriate for the sample data. The results suggest that there is a relationship between religion and the stages of an ethical decision making process regarding general ethical situations and software piracy. (shrink)
In discussing the works of 16th-century theorists Francisco de Vitoria and Alberico Gentili, this article examines how two different conceptions of a global legal community affect the legal character of the international order and the obligatory force of international law. For Vitoria the legal bindingness of ius gentium necessarily presupposes an integrated character of the global commonwealth that leads him to as it were ascribe legal personality to the global community as a whole. But then its legal status and its (...) consequences have to be clarified. For Gentili on the other hand, sovereign states in their plurality are the pinnacle of the legal order(s). His model of a globally valid ius gentium then oscillates between being analogous to private law, depending on individual acceptance by states and being natural law, appearing in a certain sense as a form rather of morality than of law. (shrink)
In this paper we argue that an operational organism concept can help to overcome the structural deficiency of mathematical models in biology. In our opinion, the structural deficiency of mathematical models lies mainly in our inability to identify functionally relevant biological characters in biological systems, and not so much in a lack of adequate mathematical representations of biological processes. We argue that the problem of character identification in biological systems is linked to the question of a properly formulated organism concept. (...) Lastly, we demonstrate how a decomposition of an organism into independent characters in the context of a specific biological process--such as adaptation by means of natural selection--depends on the dynamical properties and invariance conditions of the equations that describe this process. (shrink)
CONSENSUS AND PHILOSOPHICAL ISSUES Various atomistic and individualistic theories of knowledge, language, ethics and politics have dominated philosophical ...
It has often been recommended that the differing probability distributions of a group of experts should be reconciled in such a way as to preserve each instance of independence common to all of their distributions. When probability pooling is subject to a universal domain condition, along with state-wise aggregation, there are severe limitations on implementing this recommendation. In particular, when the individuals are epistemic peers whose probability assessments are to be accorded equal weight, universal preservation of independence is, with a (...) few exceptions, impossible. Under more reasonable restrictions on pooling, however, there is a natural method of preserving the independence of any fixed finite family of countable partitions, and hence of any fixed finite family of discrete random variables. (shrink)
Acknowledgement At one time I was labelled a mathematical prodigy. But due to insufficient luck, talent or motivation I wasn't as successful as my teachers ...
Jonathan Weisberg claims that certain probability assessments constructed by Jeffrey conditioning resist subsequent revision by a certain type of after-the-fact defeater of the reasons supporting those assessments, and that such conditioning is thus “inherently anti-holistic.” His analysis founders, however, in applying Jeffrey conditioning to a partition for which an essential rigidity condition clearly fails. Applied to an appropriate partition, Jeffrey conditioning is amenable to revision by the sort of after-the-fact defeaters considered by Weisberg in precisely the way that he demands.
We establish a probabilized version of modus tollens, deriving from p(E|H)=a and p()=b the best possible bounds on p(). In particular, we show that p() 1 as a, b 1, and also as a, b 0. Introduction Probabilities of conditionals Conditional probabilities 3.1 Adams' thesis 3.2 Modus ponens for conditional probabilities 3.3 Modus tollens for conditional probabilities.
Jeffrey has devised a probability revision method that increases the probability of hypothesis H when it is discovered that H implies previously known evidence E. A natural extension of Jeffrey's method likewise increases the probability of H when E has been established with sufficiently high probability and it is then discovered, quite apart from this, that H confers sufficiently higher probability on E than does its logical negation H̄.
The right interpretation of subjective probability is implicit in the theories of upper and lower odds, and upper and lower previsions, developed, respectively, by Cedric Smith (1961) and Peter Walley (1991). On this interpretation you are free to assign contingent events the probability 1 (and thus to employ conditionalization as a method of probability revision) without becoming vulnerable to a weak Dutch book.
In axiomatic approaches to expert opinion aggregation, so-called independence conditions have been ubiquitous. Such conditions dictate that the group value assigned to each decision variable should depend only on the values assigned by individuals to that variable, taking no account of values that they assign to other variables. This radically anti-holistic stricture on the synthesis of expert opinion severely limits the set of allowable aggregation methods. As we show, the limitations are particularly acute in the case of three or more (...) variables which must be assigned nonnegative real values summing to a fixed positive real number s. For if the subset V of [0,s] comprising the allowable values of the variables satisfies the closure conditions (i)0 is an element of V ; (ii) if x is an element of V, then s-x is an element of V ; and (iii) if x and y are elements of V and x+y is an element of [0,s], then x+y is an element of V, then, if V is finite, which is always the case in practice, subjecting the aggregation of such s-allocations to an independence condition allows only for dictatorial or imposed (i.e., constant) aggregation. (shrink)
Common wisdom holds that communication is impossible when messages are costless and communicators have totally opposed interests. This article demonstrates that such wisdom is false. Non-convergent dynamics can sustain partial information transfer even in a zero-sum signalling game. In particular, I investigate a signalling game in which messages are free, the state-act payoffs resemble rock–paper–scissors, and senders and receivers adjust their strategies according to the replicator dynamic. This system exhibits Hamiltonian chaos and trajectories do not converge to equilibria. This persistent (...) out-of-equilibrium behaviour results in messages that do not perfectly reveal the sender's private information, but do transfer information as quantified by the Kullback–Leibler divergence. This finding shows that adaptive dynamics can enable information transmission even though messages at equilibria are meaningless. This suggests a new explanation for the evolution or spontaneous emergence of meaning: non-convergent adaptive dynamics. (shrink)
The so-called "non-commutativity" of probability kinematics has caused much unjustified concern. When identical learning is properly represented, namely, by identical Bayes factors rather than identical posterior probabilities, then sequential probability-kinematical revisions behave just as they should. Our analysis is based on a variant of Field's reformulation of probability kinematics, divested of its (inessential) physicalist gloss.
This article analyses the link between innovation with high social benefits and corporate social performance (CSP) and the role that family firms play in this. This theme is particularly relevant given the large number of firms that are family-owned. Also the implicit potential of innovation to reconcile corporate sustainability aspects with profitability justifies an extended analysis of this link. Governments often support socially beneficial innovation with various policy instruments, with the intention of increasing international competitiveness and simultaneously supporting sustainable development. (...) In parallel, firms pursue corporate social responsibility (CSR) and environmental management activities partly in the hope that this will foster such innovation in their organisation (alongside their main aim of improving CSP). Hence, the main research question of this article is about the association of CSP with innovation with high social benefits and the determinants of the potential moderation of this association. Based on panel data, the article analyses the link between CSP and innovation, and the effect of being a family firm using panel estimation techniques. The results point to a moderating role of family firms on the link between innovation with high social benefits and CSP. The article concludes by assessing the policy implications of this insight. (shrink)
The out?dated intentionalistic assumptions manifest in Habermas's Theory of Communicative Action undermine a solution to the problem of order in action theory beyond utilitarianism. An analysis of his intersubjectivistic conception, which is based on the theory of the speech?act, shows that the incompleteness of Habermas's linguistic turn is due to his attempt to revive the older Critical Theory's concept of critique. The claims for a scientifically well?founded revival of a universal concept of reason ? which are asserted in this concept (...) ? invalidate the intersubjectivistic paradigm in action theory and therefore obstruct the way to a de?individualized formulation of the theory of social contract that avoids the paradox of utilitarian models. (shrink)
Divided into two parts this book examines the train of social theory from the 19th century, through to the `organization of modernity', in relation to ideas of social planning, and as contributors to the `rationalistic revolution' of the `golden age' of capitalism in the 1950s and 60s. Part two examines key concepts in the social sciences. It begins with some of the broadest concepts used by social scientists: choice, decision, action and institution and moves on to examine the `collectivist alternative': (...) the concepts of society, culture and polity, which are often dismissed as untenable by postmodernists today. This is a major contribution to contemporary social theory and provides a host of essential insights into the task of social science today. (shrink)
We define an R-group to be a stable group with the property that a generic element (for any definable transitive group action) can only be algebraic over a generic. We then derive some corollaries for R-groups and fields, and prove a decomposition theorem and a field theorem. As a nonsuperstable example, we prove that small stable groups are R-groups.
Evidentiary propositions E 1 and E 2, each p-positively relevant to some hypothesis H, are mutually corroborating if p(H|E 1 ∩ E 2) > p(H|E i ), i = 1, 2. Failures of such mutual corroboration are instances of what may be called the corroboration paradox. This paper assesses two rather different analyses of the corroboration paradox due, respectively, to John Pollock and Jonathan Cohen. Pollock invokes a particular embodiment of the principle of insufficient reason to argue that instances of (...) the corroboration paradox are of negligible probability, and that it is therefore defeasibly reasonable to assume that items of evidence positively relevant to some hypothesis are mutually corroborating. Taking a different approach, Cohen seeks to identify supplementary conditions that are sufficient to ensure that such items of evidence will be mutually corroborating, and claims to have identified conditions which account for most cases of mutual corroboration. Combining a proposed common framework for the general study of paradoxes of positive relevance with a simulation experiment, we conclude that neither Pollock’s nor Cohen’s claims stand up to detailed scrutiny. I am quite prepared to be told…”oh, that is an extreme case: it could never really happen!” Now I have observed that this answer is always given instantly, with perfect confidence, and without any examination of the proposed case. It must therefore rest on some general principle: the mental process being something like this—“I have formed a theory. This case contradicts my theory. Therefore, this is an extreme case, and would never occur in practice.”Rev. Charles L. Dodgson. (shrink)
This research tests a model of employee helping behavior (a component of Organizational Citizenship Behavior, OCB) that involves a direct path (Intrinsic Motives → Helping Behavior, the Good Samaritan Effect) and an indirect path (the Love of Money → Extrinsic Motives → Helping Behavior). Results for the full sample supported the Good Samaritan Effect. Further, the love of money was positively related to extrinsic motives that were negatively related with helping behavior. We tested the model across four cultures (the USA., (...) Taiwan, Poland, and Egypt). The Good Samaritan Effect was significant for all four countries. For the indirect path, the first part was significant for all countries, except Egypt, whereas the second part was significant for Poland only. For Poland, the indirect path was significant and positive. The love of money may cause one to help in one culture (Poland) but not to help in others. Results were discussed in the light of ethical decision making. (shrink)
Henrich et al. propose that humans are genetically equipped with learning mechanisms that enable them to acquire the preferences and beliefs related to economic prosocial behaviors. In addition to their cross-cultural data, they cite developmental evidence in support of this theory. We challenge Henrich et al.'s interpretation of the developmental data in a discussion of recent work which suggests that preferences for altruism and fairness may have an innate basis.
Background Regionalised models of health care delivery have important implications for people with disabilities and chronic illnesses yet the ethical issues surrounding disability and regionalisation have not yet been explored. Although there is ethics-related research into disability and chronic illness, studies of regionalisation experiences, and research directed at improving health systems for these patient populations, to our knowledge these streams of research have not been brought together. Using the Canadian province of Ontario as a case study, we address this gap (...) by examining the ethics of regionalisation and the implications for people with disabilities and chronic illnesses. The critical success factors we provide have broad applicability for guiding and/or evaluating new and existing regionalised health care strategies. Discussion Ontario is in the process of implementing fourteen Local Health Integration Networks (LHINs). The implementation of the LHINs provides a rare opportunity to address systematically the unmet diverse care needs of people with disabilities and chronic illnesses. The core of this paper provides a series of composite case vignettes illustrating integration opportunities relevant to these populations, namely: (i) rehabilitation and services for people with disabilities; (ii) chronic illness and cancer care; (iii) senior's health; (iv) community support services; (v) children's health; (vi) health promotion; and (vii) mental health and addiction services. For each vignette, we interpret the governing principles developed by the LHINs – equitable access based on patient need, preserving patient choice, responsiveness to local population health needs, shared accountability and patient-centred care – and describe how they apply. We then offer critical success factors to guide the LHINs in upholding these principles in response to the needs of people with disabilities and chronic illnesses. Summary This paper aims to bridge an important gap in the literature by examining the ethics of a new regionalisation strategy with a focus on the implications for people with disabilities and chronic illnesses across multiple sites of care. While Ontario is used as a case study to contextualize our discussion, the issues we identify, the ethical principles we apply, and the critical success factors we provide have broader applicability for guiding and evaluating the development of – or revisions to – a regionalised health care strategy. (shrink)
This paper explores the semiotic status of algebraic variables. To do that we build on a structuralist and post-structuralist train of thought going from Mauss and L vi-Strauss to Baudrillard and Derrida. We import these authors' semiotic thinking from the register of indigenous concepts (such as mana), and apply it to the register of algebra via a concrete case study of generating functions. The purpose of this experiment is to provide a philosophical language that can explore the openness of mathematical (...) signs to reinterpretation, and bridge some barriers between philosophy of mathematics and critical approaches to knowledge. (shrink)
Although he does not provide a general analysis of argumentation, Aristotle is a highly influential source of modern argumentation theory. In his treatises the Topics, the Sophistical Refutations and the Rhetoric, Aristotle presents complementary aspects of a theory of sound arguments that are seen as the most effective means of persuasion. Aristotle’s central notion of a deductive argument (sullogismos) does not include references to an addressee, the situative context or non-verbal aspects of communication, and thus differs from some modern views (...) on argumentation. A deductive argument in the Aristotelian sense is a sequence of intellectual steps where the conclusion follows of necessity from the premises. Aristotle does not relativize or relax this notion but takes other factors into account by providing supplementary theoretical elements. For example, he reflects on acceptable premises (endoxa), the adjustment of rhetorical arguments to the horizon of the audience, methods of finding premises on the basis of argumentative schemes (topoi), the use of non-argumentative means of persuasion, and a framework of implicit discourse rules. Many of these themes are, albeit under a different name, still discussed in modern argumentation theory. (shrink)
Matthew Walker's model overcomes the unrefined classical concept of consolidation as a unitary process. Presently still confined in its scope to selective data mainly referring to procedural motor learning, the model nonetheless provides a valuable starting point for further refinements, which would be required for a more comprehensive account of different types and aspects of human memory consolidation.
Israel Scheffler's ground-breaking essay, On Human Potential, deserves to be more widely known among educational policy analysts, especially in light of the popularity in educationist circles of W.E. Deming's organizational philosophy known as Total Quality Management . In what follows,I argue that the heuristical value of Deming's perscriptions are entailed in Scheffler's On Human Potential. More importantly, I argue, where Deming's work falls short, especially in being naive about the human condition, Scheffler's analysis provides a foundation for management theory in (...) education that insures the flourishing of an optimal number of contributing participants. In fashioning these ideas, Scheffler brings pioneering thinking to the emerging fields of management studies generally and educational policy specifically. (shrink)
This article seeks to sketch the contours of a good society, distinguished by its gender justice and the plural recognition of egalitarian difference. I begin by reconstructing Nancy Fraser’s arguments highlighting the link between distributive justice and relations of recognition, in particular as it applies to gender justice. In a second step, I show that the debate on the politics of recognition has confirmed what empirical analyses already indicated, namely that Fraser’s status model takes too reductive a stance towards the (...) identity-constituting effects of relations of recognition. The simple demand that identities be recognized, however, glosses over the paradox of recognition, which arises out of the ambiguity between the demand for equal respect and the demand for the recognition of difference. This paradox cannot be resolved unless one takes into consideration the compensatory effect of value pluralism, that is, the inherent pluralism of recognition, well captured in the notion of ‘egalitarian difference’. (shrink)
The properties of the phosphate uptake system of the cyanobacterium Anacystis nidulans have been studied during the transition from a phosphate-deficient non-growing state to a non-deficient growing state. In the phosphate-deficient state the high affinity phosphate transport system in the cell membrane is extremely adaptive. As a result of these adaptive features the phosphate transport system cannot be described by determinate, fixed parameters, because the transport system is influenced by the measurement of the uptake process itself. When the growing state (...) has been initiated by a persisting phosphate pulse, the transport system rapidly loses its adaptive features and can then be characterized by determinate parameters that remain unchanged for a long period of time, even if no uptake occurs in that time. Depending on the amount of phosphate stored during a pulse the cell makes a choice between slow or fast growth. In the latter case the light harvesting and energy converting machinery is completely reorganized before growth commences. Thereby the components of this machinery conform to each other and to the stable properties of the phosphate transport system. It is suggested that the mutual adjustment of these adaptive energy converting subunits is guided by attractors that function as the final cause for the development of the whole system.An application of this model to an analysis of the selforganization of aquatic ecosystems is discussed. (shrink)
We analyzed a sample of 356 forms containing information that Colorado law legally requires both licensed and unlicensed therapists to disclose to clients. The majority of forms contained the legally mandated information; fewer forms contained ethically desirable information. The average readability grade level was 15.74, corresponding to upper-level college, and 63.9% of the forms reached the highest (most difficult) readability grade of 17 +. Therapists are obeying the law, but do not appear to be taking advantage of the opportunity to (...) provide their clients useful information in an accessible way. (shrink)
We show that if p is a real type which is almost internal in a formula φ in a simple theory, then there is a type p' interalgebraic with a finite tuple of realizations of p, which is generated over φ. Moreover, the group of elementary permutations of p' over all realizations of φ is type-definable.
Philosophers and social scientists have recently turned to Lewis sender–receiver games to provide an account of how lexical terms can acquire meaning through an evolutionary process. However, the evolution of meaning is contingent on both the particular sender–receiver game played and the choice of evolutionary dynamic. In this paper I explore some differences between models that presume an infinitely large and randomly mixed population and models in which a finite number of agents communicate with their neighbors in a social network. (...) My results show that communication with neighbors is more conducive to the evolution of meaning than communication with strangers. Additionally, I show that the behavior of the system is highly dependent on the topological structure of the social network. I argue that a specific class of networks—small world graphs—is especially conducive to the evolution of meaning. This is because small world graphs have a short characteristic path length while still maintaining a high degree of correlation between neighbors. Since many actual social networks, such as friendship networks and nervous systems, are conjectured to be small world structures, these results indicate that these networks are quite hospitable to the efficient evolution of meaning. (shrink)
A simple rule of probability revision ensures that the final result ofa sequence of probability revisions is undisturbed by an alterationin the temporal order of the learning prompting those revisions.This Uniformity Rule dictates that identical learning be reflectedin identical ratios of certain new-to-old odds, and is grounded in the oldBayesian idea that such ratios represent what is learned from new experiencealone, with prior probabilities factored out. The main theorem of this paperincludes as special cases (i) Field's theorem on commuting probability-kinematical (...) revisions and (ii) the equivalence of two strategiesfor generalizing Jeffrey's solution to the old evidence problem tothe case of uncertain old evidence and probabilistic new explanation. (shrink)
A simple rule of probability revision ensures that the final result of a sequence of probability revisions is undisturbed by an alteration in the temporal order of the learning prompting those revisions. This Uniformity Rule dictates that identical learning be reflected in identical ratios of certain new-to-old odds, and is grounded in the old Bayesian idea that such ratios represent what is learned from new experience alone, with prior probabilities factored out. The main theorem of this paper includes as special (...) cases (i) Field's theorem on commuting probability-kinematical revisions and (ii) the equivalence of two strategies for generalizing Jeffrey's solution to the old evidence problem to the case of uncertain old evidence and probabilistic new explanation. (shrink)
Additional results are reported on the author's earlier generalization of Richard Jeffrey's solution to the problem of old evidence and new explanation.
This paper will apply post-structural semiotic theories to study the texts of Gödel's first incompleteness theorem. I will study the texts’ own articulations of concepts of ‘meaning’, analyze the mechanisms they use to sustain their senses of validity, and point out how the texts depend (without losing their mathematical rigor) on sustaining some shifts of meaning. I will demonstrate that the texts manifest semiotic effects, which we usually associate with poetry and everyday speech. I will conclude with an analysis of (...) how the picture I paint relates to an ethics of mathematical production. (shrink)
The goal of this paper is to describe the link between financial performance and the level of sustainability. In a novel approach, the paper classifies firms based on past financial success to address a potentially reciprocal relationship. For the groups of better and worse performing firms and for the entire sample, the above link is then tested, also accounting for non-linearity in the relationship. We show that environmental management system (EMS) implementation as a proxy for a firm's sustainability level is (...) only positively associated with the financial performance of financially well-performing firms. Conversely, it has a negative association with the performance of less good firms. We show that this implies that firms cannot change from good to bad performance, and vice versa, solely through the implementation of an EMS, and also that the result remains when introducing non-linearity in the link. Based on this result, we discuss implications for the direction of causality. (shrink)
A structure (M, $ ,...) is called quasi-o-minimal if in any structure elementarily equivalent to it the definable subsets are exactly the Boolean combinations of 0-definable subsets and intervals. We give a series of natural examples of quasi-o-minimal structures which are not o-minimal; one of them is the ordered group of integers. We develop a technique to investigate quasi-o-minimality and use it to study quasi-o-minimal ordered groups (possibly with extra structure). Main results: any quasi-o-minimal ordered group is abelian; any quasi-o-minimal (...) ordered ring is a real closed field, or has zero multiplication; every quasi-o-minimal divisible ordered group is o-minimal; every quasi-o-minimal archimedian densely ordered group is divisible. We show that a counterpart of quasi-o-minimality in stability theory is the notion of theory of U-rank 1. (shrink)
Contemporary fiscal theorizing largely assimilates the activities of government to that of some choosing agent. This paper explores an alternative approach where government is assimilated to an emergent process of complex interaction, as a form of complex adaptive system. Within this alternative vision, governments are treated not as objects of intervention into a market economy but as arenas of organized participation within it. While recent developments in computational modeling are starting to provide tools for probing such a vision, the roots (...) of that vision can be traced back to the spontaneous order theorists of the 18th century. After sketching some contours of this alternative vision, the remainder of the paper explores some possible implications of this change in vision for mapping the relationship among taxation, prosperity, and justice. (shrink)
Carnap's ideal of explication has become a key concept in analytic philosophy and the basis of a method of analysis which may be considered as an alternative to various forms of naturalism, including Quine's conception of a naturalized epistemology. More recently, new light has been shed on this aspect of the classical Carnap-Quine debate by contemporary philosophers. Whereas Michael Friedman articulated a notion of relativized a priori which owes much to Carnap's internal/external distinction, André Carus attempted to restate Carnap's ideal (...) of explication in a way that bridges the gap between conceptual engineering and naturalism. On the other hand, Mark Wilson argued that concepts develop in unpredictable ways and cannot be planned in the way classical analytic philosophy has assumed from Frege and Russell onwards. This book consists of a series of defences as well as critiques of Carnap's programme, setting it in its historical context, discussing specific cases of explications, and enriching the on-going debate on conceptual engineering and naturalism in analytic philosophy.Carnap's ideal of explication has become a key concept in analytic philosophy and the basis of a method of analysis which may be considered as an alternative to various forms of naturalism, including Quine's conception of a naturalized epistemology. More recently, new light has been shed on this aspect of the classical Carnap-Quine debate by contemporary philosophers. Whereas Michael Friedman articulated a notion of relativized a priori which owes much to Carnap's internal/external distinction, André Carus attempted to restate Carnap's ideal of explication in a way that bridges the gap between conceptual engineering and naturalism. On the other hand, Mark Wilson argued that concepts develop in unpredictable ways and cannot be planned in the way classical analytic philosophy has assumed from Frege and Russell onwards. This book consists of a series of defences as well as critiques of Carnap's programme, setting it in its historical context, discussing specific cases of explications, and enriching the on-going debate on conceptual engineering and naturalism in analytic philosophy. (shrink)
The problem of modifier evolution was examined with regard to the idea that modifier evolution can be considered as a result of selection for adaptation speed in populations far from equilibrium. This kind of selection was called feedback selection in order to emphasize the difference to theories which consider modifier evolution near the equilibrium. The basic principles of this kind of selection are derived for asexual populations and the problem of dominance is discussed in the light of this concept. In (...) general the results support the view, that the genetic properties of a character are selected along with the character itself. (shrink)
