Observed biological growth curves generally are sigmoid in appearance. It is common practice to fit such data with either a Verhulst logistic or a Gompertz curve. This paper critically considers the conceptual bases underlying these descriptive models.The logistic model was developed by Verhulst to accommodate the common sense observation that populations cannot keep growing indefinitely. A justification for using the same equation to describe the growth of individuals, based on considerations from chemical kinetics (autocatalysis of a monomolecular reaction), was put (...) forward by Richardson, but met with heavy criticism as a result of his erroneous derivation of the basic equation (Snell, 1929). It errs on the side of over-simplicity (Priestley & Pearsall, 1922). Von Bertalanffy (1957) subsequently based a justification on the assumption that, as a first approximation, the rates of catabolism and anabolism may be assumed to be proportional to weight and power (still vacant places, between the maximal possible and the already accumulated population sizes. This point of view was fiercely challenged by Nicholson (1933), Milne (1962), Smith (1954) and Rubinov (1973). And indeed, what is meant by vacant places has never become entirely clear. Finally Lotka (1925) devised a third leading approach by just truncating a Taylor expansion around zero of the differential law for autonomous growth after the second degree term. (shrink)

Explores how the French theory of philosophy, which became popular during the last three decades of the twentieth century, spread to America and examines the critical practices that French theory inspired.

Despite hundreds of definitions, no consensus exists on a definition of life or on the closely related and problematic definitions of the organism and death. These problems retard practical and theoretical development in, for example, exobiology, artificial life, biology and evolution. This paper suggests improving this situation by basing definitions on a theory of a generalized particle hierarchy. This theory uses the common denominator of the “operator” for a unified ranking of both particles and organisms, from elementary particles to animals (...) with brains. Accordingly, this ranking is called “the operator hierarchy”. This hierarchy allows life to be defined as: matter with the configuration of an operator, and that possesses a complexity equal to, or even higher than the cellular operator. Living is then synonymous with the dynamics of such operators and the word organism refers to a select group of operators that fit the definition of life. The minimum condition defining an organism is its existence as an operator, construction thus being more essential than metabolism, growth or reproduction. In the operator hierarchy, every organism is associated with a specific closure, for example, the nucleus in eukaryotes. This allows death to be defined as: the state in which an organism has lost its closure following irreversible deterioration of its organization. The generality of the operator hierarchy also offers a context to discuss “life as we do not know it”. The paper ends with testing the definition’s practical value with a range of examples. (shrink)

One effect of information technology is the increasing need to present information visually. The trend raises intriguing questions. What is the logical status of reasoning that employs visualization? What are the cognitive advantages and pitfalls of this reasoning? What kinds of tools can be developed to aid in the use of visual representation? This newest volume on the Studies in Logic and Computation series addresses the logical aspects of the visualization of information. The authors of these specially commissioned papers explore (...) the properties of diagrams, charts, and maps, and their use in problem solving and teaching basic reasoning skills. As computers make visual representations more commonplace, it is important for professionals, researchers and students in computer science, philosophy, and logic to develop an understanding of these tools; this book can clarify the relationship between visuals and information. (shrink)

At the start of the 21st century, Corporate Social Responsibility (CSR) seems to have great potential for innovating business practices with a positive impact on People, Planet and Profit. In this article the differences between the management systems approach of the nineties, and Corporate Social Responsibility are analysed.An analysis is structured around three business principles that are relevant for CSR and management systems: (1) doing things right the first time, (2) doing the right things, and (3) continuous improvement and innovation. (...) Basically CSR is focussing on the second principle, and management systems focus on the first. However, CSR is very likely to build on the management systems as well.From a CSR point of view, the existing generation of management systems with their focus on rational control (= doing things right) can only be of limited use in the development of CSR. However, the preventive rationalities of management systems are important. Values and the principle doing the right things is extremely relevant for CSR. This goes far beyond the present generation of ISO type management systems; opportunities stem from building on TQM approaches like the EFQM Business Excellence model. Continuous improvement and innovation is a permanent challenge underlying the two other business principles, and requires both individual and organisational learning processes. In the present generation of management systems, continuous improvement mainly addresses rational prevention, barely the value aspects of business.For the further development and implementation of CSR, each of the three business management principles are vital. There is a need for a new generation of management systems that addresses the values at stake in strategic decision-making, both at company level and in the behaviour of individuals, while the rationalities of prevention and anticipation are still relevant. In both directions more emphasis for continuous learning and innovation will be needed.CSR is likely to trigger the development of management systems in the directions mentioned. This will support companies to be credible and transparent in improving the performance with respect to people, planet and profit. (shrink)

Current research findings on metaphor in language and thought may be interpreted as producing a paradox of metaphor; that is, most metaphor is not processed metaphorically by a cross-domain mapping involving some form of comparison. This paradox can be resolved by attending to one crucial aspect of metaphor in communication: the question whether metaphor is used as deliberately metaphorical or not. It is likely that most deliberate metaphor is processed metaphorically (by comparison), as opposed to most nondeliberate metaphor, which may (...) be assumed to be typically not processed metaphorically (that is, by categorization). This resolves the paradox of metaphor because it suggests that all “metaphor in communication” (all deliberate metaphor) is processed metaphorically. Detailed comments are offered on the notion of metaphor deliberateness and on the nature of a three-dimensional model of metaphor in discourse involving metaphor in language, thought, and communication. (shrink)

Anglo-Saxon schools of metascience.--Continental schools of metascience.--Toward a theory of research that is neither logical reconstruction nor psychology or sociology of science.--References (p. 420-438).

Sait-on que la science-fiction américaine, du roman " cyberpunk " à la saga Matrix, se nourrit largement de Jean Baudrillard? Que Gilles Deleuze et Félix Guattari inspirent aux Etats-Unis les pionniers de l'Internet comme de la musique électronique? Que Michel Foucault y est la référence majeure des luttes communautaires, tandis que Jacques Derrida est une star sans égale dans l'université? Après avoir croisé à New York la contre-culture des années 1970, les œuvres des philosophes français de l 'après - structuralisme (...) sont entrées dans les départements de littérature de l'université américaine, où elles ont bouleversé de l'intérieur tout le champ intellectuel. Réinterprétées, réappropriées au service des combats identitaires de la fin de siècle américaine, elles ont fourni le socle théorique sur lequel ont pu s'épanouir, contre la régression des années Reagan, les cultural studies, les gender studies et les études multiculturelles. C'est cette histoire, mal connue, de la french theory que François Cusset retrace ici. Il décrit le succès de cette étrange " théorie française " - la déconstruction, le biopouvoir, les micropolitiques ou la simulation -jusque dans les tréfonds de la sous - culture américaine. Il restitue l'atmosphère particulière des années 1970 et raconte la formidable aventure américaine, et bientôt mondiale, d'intellectuels français marginalisés dans l'Hexagone. Car le plus surprenant est que, pendant que l'Amérique les célébrait, la France s'empressait d'inhumer ces dangereux échevelés de la " pensée 68 " pour louer à nouveau l'humanisme citoyen et son vieil universalisme abstrait. Ce livre éclaire ce paradoxe en explorant une modalité méconnue, mais cruciale, du malentendu franco - américain. Au-delà, il brosse un portrait passionnant des mutations de l'espace intellectuel, culturel et politique américain des dernières décennies. (shrink)

This paper examines patterns of metaphor in usage. Four samples of text excerpts of on average 47,000 words each were taken from the British National Corpus and annotated for metaphor. The linguistic metaphor data were collected by five analysts on the basis of a highly explicit identification procedure that is a variant of the approach developed by the Pragglejaz Group (Metaphor and Symbol 22: 1–39, 2007). Part of this paper is a report of the protocol and the reliability of the (...) procedure. Data analysis shows that, on average, one in every seven and a half lexical units in the corpus is related to metaphor defined as a potential cross-domain mapping in conceptual structure. It also appears that the bulk of the expression of metaphor in discourse consists of non-signalled metaphorically used words, not similes. The distribution of metaphor-related words, finally, turns out to be quite variable between the four registers examined in this study: academic texts have 18.5%, news 16.4%, fiction 11.7%, and conversation 7.7%. The systematic comparative investigation of these registers raises new questions about the relation between cognitive linguistic and other approaches to metaphor. (shrink)

This paper elaborates on conceptual, empirical and practical arguments why corporations need to focus on their social dimensions, in order to further enhance organizational performance. The paper starts with an introduction on the general trend towards inclusiveness and connectedness. It then elaborates on the phase-wise development of cultures and organizational structures. Managing corporate improvement by building cultures of trust is the central focus of this contribution. By showing the cultural dimensions of Great Places to Work and their workplace practices, worthwhile (...) experiences leading to organizational improvement and superior financial performance are demonstrated. (shrink)

"Bartley and Radnitzky have done the philosophy of knowledge a tremendous service. Scholars now have a superb and up-to-date presentation of the fundamental ideas of evolutionary epistemology." --Philosophical Books.

This paper elaborates on conceptual, empirical and practical arguments why corporations need to focus on their social dimensions, in order to further enhance organizational performance. The paper starts with an introduction on the general trend towards inclusiveness and connectedness. It then elaborates on the phase-wise development of cultures and organizational structures. Managing corporate improvement by building cultures of trust is the central focus of this contribution. By showing the cultural dimensions of Great Places to Work and their workplace practices, worthwhile (...) experiences leading to organizational improvement and superior financial performance are demonstrated. (shrink)

We present a Kripke model for Girard's Linear Logic (without exponentials) in a conservative fashion where the logical functors beyond the basic lattice operations may be added one by one without recourse to such things as negation. You can either have some logical functors or not as you choose. Commutatively and associatively are isolated in such a way that the base Kripke model is a model for noncommutative, nonassociative Linear Logic. We also extend the logic by adding a coimplication operator, (...) similar to Curry's subtraction operator, which is resituated with Linear Logic's contensor product. And we can add contraction to get nondistributive Relevance Logic. The model rests heavily on Urquhart's representation of nondistributive lattices and also on Dunn's Gaggle Theory. Indeed, the paper may be viewed as an investigation into nondistributive Gaggle Theory restricted to binary operations. The valuations on the Kripke model are three valued: true, false, and indifferent. The lattice representation theorem of Urquhart has the nice feature of yielding Priestley's representation theorem for distributive lattices if the original lattice happens to be distributive. Hence the representation is consistent with Stone's representation of distributive and Boolean lattices, and our semantics is consistent with the Lemmon-Scott representation of modal algebras and the Routley-Meyer semantics for Relevance Logic. (shrink)

This paper presents a theory of the syntactic aspects of human sentence production. An important characteristic of unprepared speech is that overt pronunciation of a sentence can be initiated before the speaker has completely worked out the meaning content he or she is going to express in that sentence. Apparently, the speaker is able to build up a syntactically coherent utterance out of a series of syntactic fragments each rendering a new part of the meaning content. This incremental, left‐to‐right mode (...) of sentence production is the central capability of the proposed Incremental Procedural Grammar (IPG). Certain other properties of spontaneous speech, as derivable from speech errors, hesitations, self‐repairs, and language pathology, are accounted for as well.The psychological plausibility thus gained by the grammar appears compatible with a satisfactory level of linguistic plausibility in that sentences receive structural descriptions which are in line with current theories of grammar. More importantly, an explanation for the existence of configurational conditions on transformations and other linguistics rules is proposed.The basic design feature of IPG which gives rise to these psychologically and linguistically desirable properties, is the “Procedures + Stack” concept. Sentences are built not by a central constructing agency which overlooks the whole process but by a team of syntactic procedures (modules) which work—in parallel—on small parts of the sentence, have only a limited overview, and whose sole communication channel is a stack.IPG covers object complement constructions, interrogatives, and word order in main and subordinate clauses. It handles unbounded dependencies, crossserial dependencies and coordination phenomena such as gapping and conjunction reduction. It is also capable of generating self‐repairs and elliptical answers to questions. IPG has been implemented as an incremental Dutch sentence generator written in LISP. (shrink)

Responding to recent publications by Céline Lafontaine, François Cusset unties the illusions of the supposed knot between the US ideology of cybernetics and the “French Theory” represented by thinkers like Foucault, Derrida, Lyotard or Deleuze. Those who denounce a historical complicity between these two “anti-Humanist” movements in the name of a few superficial analogies miss the profoundly critical nature of French Theory towards capitalism. It is rather on the side of those technophobic Humanists so eager to denounce the Pensée (...) 68 that one finds today the most active accomplices of the liberalisation of French society. (shrink)

Sait-on que la science-fiction américaine, du roman " cyberpunk " à la saga Matrix, se nourrit largement de Jean Baudrillard? Que Gilles Deleuze et Félix Guattari inspirent aux Etats-Unis les pionniers de l'Internet comme de la musique électronique? Que Michel Foucault y est la référence majeure des luttes communautaires, tandis que Jacques Derrida est une star sans égale dans l'université? Après avoir croisé à New York la contre-culture des années 1970, les œuvres des philosophes français de l 'après - structuralisme (...) sont entrées dans les départements de littérature de l'université américaine, où elles ont bouleversé de l'intérieur tout le champ intellectuel. Réinterprétées, réappropriées au service des combats identitaires de la fin de siècle américaine, elles ont fourni le socle théorique sur lequel ont pu s'épanouir, contre la régression des années Reagan, les cultural studies, les gender studies et les études multiculturelles. C'est cette histoire, mal connue, de la french theory que François Cusset retrace ici. Il décrit le succès de cette étrange " théorie française " - la déconstruction, le biopouvoir, les micropolitiques ou la simulation -jusque dans les tréfonds de la sous - culture américaine. Il restitue l'atmosphère particulière des années 1970 et raconte la formidable aventure américaine, et bientôt mondiale, d'intellectuels français marginalisés dans l'Hexagone. Car le plus surprenant est que, pendant que l'Amérique les célébrait, la France s'empressait d'inhumer ces dangereux échevelés de la " pensée 68 " pour louer à nouveau l'humanisme citoyen et son vieil universalisme abstrait. Ce livre éclaire ce paradoxe en explorant une modalité méconnue, mais cruciale, du malentendu franco - américain. Au-delà, il brosse un portrait passionnant des mutations de l'espace intellectuel, culturel et politique américain des dernières décennies. (shrink)

Proceedings of a conference held in Oct. 2007 at St. Augustine College of South Africa.

On pourrait croire que le thème de l’émancipation a disparu de la Théorie Critique dans sa version la plus récente, en particulier chez Habermas. Mais on devrait plutôt dire que l’intérêt à l’émancipation, notion que Habermas avait dans un premier temps reprise à Max Horkheimer, a émigré dans l’immanence de l’État de droit démocratique. Jusqu’où la reconstruction habermassienne de l’État de droit permet-elle tout à la fois de revitaliser et de conférer un sens nouveau aux visées pratiques, sociales et politiques, (...) émancipatrices? Telle est la question qui nous retiendra. (shrink)

It is possible to predict future life forms? In this paper it is argued that the answer to this question may well be positive. As a basis for predictions a rationale is used that is derived from historical data, e.g. from a hierarchical classification that ranks all building block systems, that have evolved so far. This classification is based on specific emergent properties that allow stepwise transitions, from low level building blocks to higher level ones. This paper shows how this (...) hierarchy can be used for predicting future life forms.The extrapolations suggest several future neural network organisms. Major aspects of the structures of these organisms are predicted. The results can be considered of fundamental importance for several reasons. Firstly, assuming that the operator hierarchy is a proper basis for predictions, the result yields insight into the structure of future organisms. Secondly, the predictions are not extrapolations of presently observed trends, but are fully integrated with all historical system transitions in evolution. Thirdly, the extrapolations suggest the structures of intelligences that, one day, will possess more powerful brains than human beings.This study ends with a discussion of possibilities for falsification of the present theory, the implications of the present predictions in relation to recent developments in artificial intelligence and the philosophical implications of the role of humanity in evolution with regard to the creation of future neural network organisms. (shrink)

Explores the origin and evolution of the Greek concept of nature up until the time of Plato.

This paper notes the apparent ineffectiveness of the critical response to competence-based education and training (CBET) and suggests that this results from a failure to correctly isolate CBET's unique, identifying features. It is argued that the prevailing tendency to identify CBET with ‘competence’ is fundamentally mistaken and that the competence approach is more properly characterised in terms of its philosophically naïve methodological strategy. It is suggested that this strategy is based upon untenable assumptions relating to the semantic status of statements (...) of outcome and the epistemological and ontological constructs to which such statements are intended to correspond. (shrink)

It has become widely recognized that religiousness has a predictable pattern of small associations with Big Five personality dimensions, and has some intersections with cultural psychology. But just how large are those culture-religiosity intersections, and are there additional associations with personality when one extends beyond the restricted spectrum represented by Big Five traits? Moreover, do the answers to these questions depend on how religiousness is defined and measured? I argue that, both conceptually and empirically, religiousness itself meets the criteria for (...) a personality dimension (including stability, heritability, and other grounds), and is simultaneously for the most part a cultural phenomenon reflecting often widely shared sets of beliefs, values, worldviews, and norms. The patterns of modest associations with other personality dimensions, from the Big Five and beyond, are consistent with both arguments. A distributive model of culture, under which culture is aggregated personalities (and especially mindsets) helps make sense of these relations. Tradition-oriented religiousness tends to have a prominent position in enduring-order (as contrasted with evolving-order) cultures, which helps account for its occasional expressions in political religion. In contrast, mystical spirituality is more prone to manifest as a sub-cultural phenomenon peripheral to mainstream culture. But for either conception—religiousness or spirituality—the same personality-and-culture propositions appear to hold. Nonetheless, religiousness seems not totally reducible to a variable for personality or cultural psychology, and considerations are introduced regarding what that irreducible element is most likely to be. (shrink)

Arif Ahmed has recently argued that causal decision theory is dynamically inconsistent and that we should therefore prefer evidential decision theory. However, the principal formulation of the evidential theory, Richard Jeffrey’s Logic of Decision, has a mixed record of its own when it comes to evaluating plans consistently across time. This note probes that neglected record, establishing the dynamic consistency of evidential decision theory within a restricted class of problems but then illustrating how evidentialists can fall into sequential incoherence outside (...) of this class. Uncovering the evidentialist’s own dynamic inconsistencies reveals, contra Ahmed, that sequential choice considerations do not significantly favor the evidentialist’s theory over the causalist’s. (shrink)

Die Autoren dieses Buches befassen sich mit dem Verhältnis der Wissenschaftstheorie zu den Wissenschaften. Vertreter verschiedener Natur- und Geisteswissenschaften kommen hier nach folgendem Anordnungsprinzip zu Worte: Von den »hard sciences« zu den »soft sciences«, von den empirisch leichter prüfbaren zu den empirisch schwerer prüfbaren Wissenschaften. Die klassischen Naturwissenschaften, Physik, Chemie und Biologie, machen den Anfang. Dann folgen Ökonomie, Soziologie und Geschichte.Fast alle Beiträge sind aus Vorträgen hervorgegangen, die im Juni 1989 während eines wissenschaftlichen Kolloquiums an der Universität Trier gehalten und (...) diskutiert wurden.Das Thema der Trierer Tagung lautete: »Der Kritische Rationalismus und die Wissenschaften«. Die jeweiligen Vertreter ihres Faches waren also eingeladen, insbesondere ihr Verhältnis zur Wissenschaftstheorie des Kritischen Rationalismus darzulegen. Das Tagungsthema war vor dem Hintergrund der in demselben Jahr erfolgenden Emeritierung von Gerard Radnitzky, einem der renommiertesten Vertreter des Kritischen Rationalismus, gewählt worden. (shrink)

For organizational development that is future-oriented, enterprises increasingly need qualified, motivated and efficient workers who are able and willing to contribute actively to technical and organizational innovations. Furthermore, customers and consumers are increasingly interested in healthy products and services. Therefore, health has become a (potential) business value of strategic importance. In interaction with all relevant stakeholders, an approach was developed for companies that want to manage their health impact in a proactive and preventive manner. The approach was termed Integral Health (...) Management (IHM). IHM forms a strategic approach for reducing the costs of sickness absence and working disability, while the productivity and resilience of the company and its employees are increased. This brings the company direct economic benefits. Finally, it is of prime interest for employees to remain physically and mentally healthy and employable. The IHM approach distinguishes seven lines of development: (1) health as a strategic company interest; (2) the realization of a healthy primary process; (3) a safe and sound physical (work) environment; (4) an inspiring social (work) environment; (5) vital people; (6) a sound relationship with the immediate organizational environment and local community, and (7) healthy products and/or services. The inter-relationships between the seven development lines are essential for combining an improvement of the business impact on health with a strategic interest of companies and organizations. The seven lines of IHM development can easily be linked to the European Foundation for Quality Management''s European Excellence Model. (shrink)

_Explores the origin and evolution of the Greek concept of nature up until the time of Plato._.

Gelfand quantales are complete unital quantales with an involution, *, satisfying the property that for any element a, if a b a for all b, then a a* a = a. A Hilbert-style axiom system is given for a propositional logic, called Gelfand Logic, which is sound and complete with respect to Gelfand quantales. A Kripke semantics is presented for which the soundness and completeness of Gelfand logic is shown. The completeness theorem relies on a Stone style representation theorem for (...) complete lattices. A Rasiowa/Sikorski style semantic tableau system is also presented with the property that if all branches of a tableau are closed, then the formula in question is a theorem of Gelfand Logic. An open branch in a completed tableaux guarantees the existence of an Kripke model in which the formula is not valid; hence it is not a theorem of Gelfand Logic. (shrink)

The triangular relationship between the social, the political and the cultural has opened up social and political theory to new challenges. The social can no longer be reduced to the category of society, and the political extends beyond the traditional concerns of the nature of the state and political authority. -/- This Handbook will address a range of issues that have recently emerged from the disciplines of social and political theory, focusing on key themes as opposed to schools of thought (...) or major theorists. It is divided into three sections which address: -/- the most influential theoretical traditions that have emerged from the legacy of the twentieth century -/- the most important new and emerging frameworks of analysis today -/- the major theoretical problems in recent social and political theory. (shrink)

Fast moving classical variables can generate quantum mechanical behavior. We demonstrate how this can happen in a model. The key point is that in classically evolving systems one can still define a conserved quantum energy. For the fast variables, the energy levels are far separated, such that one may assume these variables to stay in their ground state. This forces them to be entangled, so that, consequently, the slow variables are entangled as well. The fast variables could be the vacuum (...) fluctuations caused by unknown super heavy particles. The emerging quantum effects in the light particles are expressed by a Hamiltonian that can have almost any form. The entire system is ontological, and yet allows one to generate interference effects in computer models. This seemed to lead to an inexplicable paradox, which is now resolved: exactly what happens in our models if we run a quantum interference experiment in a classical computer is explained. The restriction that very fast variables stay predominantly in their ground state appears to be due to smearing of the physical states in the time direction, preventing their direct detection. Discussions are added of the emergence of quantum mechanics, and the ontology of an EPR/Bell Gedanken experiment. (shrink)

Confronted with problems or situations that do not yield toknown theories and world views, scientists and students are alike. Theyare rarely able to directly build a model or a theory thereof. Rather,they must find ways to make sense of the circumstances using theircurrent knowledge and adjusting what is recognized in the process. Thisway of thinking, using past ways of perceiving the physical world tobuild new ones does not follow a logical path and cannot be described astheory revision. Likewise, in many (...) situations it is awkward, indeedoften impossible, to resort to analogical reasoning to account for it.This paper presents a new mechanism, called `tunnel effect', that mayexplain, in part, how scientists and students reason while constructinga new conceptual domain. `Tunnel effect' is also contrasted withanalogical reasoning. (shrink)

This book is devoted to a thorough analysis of the role that models play in the practise of physical theory. The authors, a mathematical physicist and a philosopher of science, appeal to the logicians’ notion of model theory as well as to the concepts of physicists.

Extra destinatum -- The philologist and the Epicurean -- Homer atomized -- The pervasive influence.

Communication is an important feature of the living world that mainstream biology fails to adequately deal with. Applying two main disciplines can be contemplated to fill in this gap: semiotics and information theory. Semiotics is a philosophical discipline mainly concerned with meaning; applying it to life already originated in biosemiotics. Information theory is a mathematical discipline coming from engineering which has literal communication as purpose. Biosemiotics and information theory are thus concerned with distinct and complementary possible meanings of the word (...) ‘communication’. Since literal communication needs to be secured so as to enable semantics being communicated, information theory is a necessary prerequisite to biosemiotics. Moreover, heredity is a purely literal communication process of capital importance fully relevant to literal communication, hence to information theory. A short introduction to discrete information theory is proposed, which is centred on the concept of redundancy and its use in order to make sequences resilient to errors. Information theory has been an extremely active and fruitful domain of researches and the motor of the tremendous progress of communication engineering in the last decades. Its possible connections with semantics and linguistics are briefly considered. Its applications to biology are suggested especially as regards error-correcting codes which are mandatory for securing the conservation of genomes. Biology needs information theory so biologists and communication engineers should closely collaborate. (shrink)