This paper argues that econometricians' explicit adoption of identification conditions in structural equation modelling commits them to read the functional form of their equations in a strong, nonmathematical way. This content, which is implicitly attributed to the functional form of structural equations, is part of what makes equation structural. Unfortunately, econometricians are not explicit about the role functional form plays in signifying structural content. In order to remedy this, the second part of this paper (...) presents an interpretation of the functional form based on Herbert Simon 's definition of causal order. This begins to set out just what the functional form of structural equations represents. ‡I would like to thank Nancy Cartwright and attendants at UCSD Graduate Seminar 2006 for helpful comments. I also want to thank the AHRC for supporting the research for this paper. †To contact the author, please write to: Centre for Philosophy of Natural and Social Science, London School of Economics, London WC2A 2AE, United Kingdom; e-mail: [email protected]. (shrink)

In both theoretical and applied modeling in behavioral sciences, it is common to choose a mathematical specification of functional form and distribution of unobservables on grounds of analytic convenience without support from explicit theoretical postulates. This article discusses the issue of deriving particular qualitative hypotheses about functional form restrictions in structural models from intuitive theoretical axioms. In particular, we focus on a family of postulates known as dimensional invariance. Subsequently, we discuss how specific qualitative postulates can (...) be reformulated so as to allow for conventional statistical hypothesis testing, and we also derive details of a particular likelihood ratio test procedure. An empirical application of the testing procedure is carried out, based on data from a Stated Preference survey. (shrink)

We present a well-defined generalisation of the core to coalitional games with externalities, where the value of a deviation is given by an endogenous response, the solution (if nonempty: the core) of the residual game.

ArgumentThe question, how organisms obtain their specific complex and functional forms, was widely discussed during the eighteenth century. The theory of preformation, which was the dominant theory of generation, was challenged by different alternative epigenetic theories. By the end of the century it was the vitalist approach most famously advocated by Johann Friedrich Blumenbach that prevailed. Yet the alternative theory of generation brought forward by Caspar Friedrich Wolff was an important contribution to the treatment of this question. He turned (...) his attention from the properties of matter and the forces acting on it towards the level of the processes of generation in order to explain the constitution of organismic forms. By regarding organic structures and forms to be the result of the lawfulness of ongoing processes, he opened up the possibility of a functional but non-teleological explanation of generation, and thereby provided an important complement to materialist and vitalist approaches. (shrink)

Joint attention is an everyday phenomenon in which two or more individuals attend to an object, event process or property in the presence of each other, such that their attention to that object is to some degree intertwined with the other’s attention to it. This paper argues that joint attention has the normative role of enabling subjects to coordinate their actions in a way that would contribute to the rational execution of a joint action in accordance with a prior shared (...) plan or shared intention. This understanding of the normative function of joint attention underpins a particular understanding of the nature of joint attention: what I shall call Rich Relationalism. Rich Relationalism argues for the view that joint attention acts as an epistemically significant interface between the world, other people, and their background plans and concepts. It understands joint attention as an object-dependent, conceptually structured, token experiential state that is shared by two (or more) people. It can be contrasted with non-relational (i.e., Representational or Enactivist) accounts of joint attention on the one hand, and Lean Relationalist accounts on the other (such as John Campbell’s influential account). (shrink)

We argue that living systems process information such that functionality emerges in them on a continuous basis. We then provide a framework that can explain and model the normativity of biological functionality. In addition we offer an explanation of the anticipatory nature of functionality within our overall approach. We adopt a Peircean approach to Biosemiotics, and a dynamical approach to Digital-Analog relations and to the interplay between different levels of functionality in autonomous systems, taking an integrative approach. We then apply (...) the underlying biosemiotic logic to a particular biological system, giving a model of the B-Cell Receptor signaling system, in order to demonstrate how biosemiotic concepts can be used to build an account of biological information and functionality. Next we show how this framework can be used to explain and model more complex aspects of biological normativity, for example, how cross-talk between different signaling pathways can be avoided. Overall, we describe an integrated theoretical framework for the emergence of normative functions and, consequently, for the way information is transduced across several interconnected organizational levels in an autonomous system, and we demonstrate how this can be applied in real biological phenomena. Our aim is to open the way towards realistic tools for the modeling of information and normativity in autonomous biological agents. (shrink)

This article clarifies my current and seemingly ever-changing position on issues relating to emotions. The position derives from my differential emotions theory and it changes with new empirical findings and with insights from my own and others’ thinking and writing. The theory distinguishes between first-order emotions and emotion schemas. For example, it proposes that first-order negative emotions are attributable mainly to infants and young children in distress and to older individuals in emergency or highly challenging situations. Emotion schemas are defined (...) as emotion feelings interacting with cognition in motivating the decision making and actions of everyday life. (shrink)

The positions of Frege, Russell and Wittgenstein on the priority of complexes over (propositional) functions are sketched, challenging those who take the "judgment centered" aspects of the Tractatus to be inherited from Frege not Russell. Frege's views on the priority of judgments are problematic, and unlike Wittgenstein's. Russell's views on these matters, and their development, are discussed in detail, and shown to be more sophisticated than usually supposed. Certain misreadings of Russell, including those regarding the relationship between propositional functions and (...) universals, are exposed. Wittgenstein's and Russell's views on logical grammar are shown to be very similar. Russell's type theory does not countenance types of genuine entities nor metaphysical truths that cannot be put into words, contrary to conventional wisdom. I relate this to the debate over "inexpressible truths" in the Tractatus. I lastly comment on the changes to Russell's views brought about by Wittgenstein's influence. (shrink)

Many of us view the world of science as a firm bastion of knowledge, with each new discovery and further illumination adding to an unshakable foundation of natural truths. Weak Knowledge aims to rattle our faith, not in core certainties of scientific findings but in their strength as accessible resources. The authors show how, throughout history, many bodies of research have become precarious due to a host of factors. These factors have included cultural or social disinterest, feeble empirical evidence or (...) theoretical justifications, and a lack of practical applications in a given field's findings. This book brings together cases from a range of historical periods and disciplines, ranging from personal medicine to climatology, to illuminate the specific forms, functions, and dynamics of so-called "weak" bodies of knowledge. (shrink)

The concepts of form and function have traditionally been defined in terms of biology and then extended to other disciplines. Stephen T. Asma examines the various interpretations of form and function in science and philosophy, reflecting on the philosophical presuppositions underlying the work of Geoffroy, Cuvier, Darwin, and others. -/- In the continental tradition of Canguilhem and Foucault, Asma's treatment of the historical form/function dispute analyzes the complex interactions among ideologies, metaphysical commitments, and research programs. Following (...) class='Hi'>Form and Function is a significant contribution to the history of science, history of philosophy, and disputes within contemporary biology. (shrink)

This book addresses three major questions about law and legal systems: (1) What are the defining and organizing forms of legal institutions, legal rules, interpretive methodologies, and other legal phenomena? (2) How does frontal and systematic focus on these forms advance understanding of such phenomena? (3) What credit should the functions of forms have when such phenomena serve policy and related purposes, rule of law values, and fundamental political values such as democracy, liberty, and justice? This is the first book (...) that seeks to offer general answers to these questions and thus gives form in the law its due. The answers not only provide articulate conversancy with the subject but also reveal insights into the nature of law itself, the oldest and foremost problem in legal theory and allied subjects. (shrink)

This book represents an effort to understand very old questions about biological form, function, and the relationships between them. The essays collected here reflect the diversity of approaches in evolutionary developmental biology, including not only studies by prominent scientists whose research focuses on topics concerned with evolution and development, but also historically and conceptually oriented studies that place the scientific work within a larger framework and ask how it can be pushed further. Topics under discussion range from the use (...) of theoretical and empirical biomechanics to understand the evolution of plant form, to detailed studies of the evolution of development and the role of developmental constraints on phenotypic variation. The result is a rich and interdisciplinary volume that will begin a wider conversation about the shape of Evo Devo as it matures as a field. (shrink)

Phenomena covered by the term duality occur throughout the history of mathematics in all of its branches, from the duality of polyhedra to Langlands duality. By looking to an “internal epistemology” of duality, we try to understand the gains mathematicians have found in exploiting dual situations. We approach these questions by means of a category theoretic understanding. Following Mac Lane and Lawvere-Rosebrugh, we distinguish between “axiomatic” or “formal” (or Gergonne-type) dualities on the one hand and “functional” or “concrete” (or (...) Poncelet-type) dualities on the other. While the former are often used in the pursuit of a “two theorems by one proof”-strategy, the latter often allow the investigation of “spaces” by studying functions defined on them, which in Grothendieck's terms amounts to the strategy of proving a theorem by working in a dually equivalent framework where the corresponding proof is easier to find. We try to show by some examples that in the first case, dual objects tend to be more ideal (epistemologically more remote) than original ones, while this is not necessarily so in the second case. (shrink)

Functional reductionism characterises inter-theoretic reduction as the recovery of the upper-level behaviour described by the reduced theory in terms of the lower-level reducing theory. For instance, finding a statistical mechanical realiser that plays the functional role of thermodynamic entropy allows for establishing a reductive link between thermodynamics and statistical mechanics. This view constitutes a unique approach to reduction that enjoys a number of positive features, but has received limited attention in the philosophy of science. -/- This paper aims (...) to clarify the meaning of functional reductionism in science, with a focus on physics, to define both its place with respect to other approaches to reduction and its connection to ontology. To do so, we develop and explore two alternative frameworks for functional reduction, called Syntactic Functional Reductionism and Semantic Functional Reductionism. They represent two different possible stances on the view that expand and improve the basic functional reductionist approach along different lines, and make clear how the approach works in practice. The former elaborates on David Lewis’ account, is connected with the syntactic view of theories, is committed to a logical characterisation of functional roles, and is embedded within Nagelian reductionism. The latter adopts a semantic view of theories, spells out functional roles mainly in terms of mathematical roles within the models of theories, and is expressed in terms of the related structuralist approach to reduction. The development of these frameworks has the final goal of advancing functional reductionism, to make it a fully-fledged alternative account for reduction in science. (shrink)

This chapter explores the ways in which Jacques Lacan and Cornelius Castoriadis understand the role(s) that violence plays in the formation of the individual. While the majority of the literature tends to focus on their accounts of the symbolic and imaginary to highlight the differences between them, this chapter claims that a different and more harmonious relationship appears once we focus on their respective claims regarding the roles that violence plays in relation to the formation of the individual. For Lacan, (...) violence appears via the process through which the child enters the symbolic realm by learning to talk and use language. Far from being a negative occurrence, however, such violent imposition serves to create a fully functioning (adult) individual. Castoriadis comes to a similar conclusion, albeit from a different ontological background. Whereas Lacan affirms the primary importance of symbolic differential relations, Castoriadis claims that the psyche is structured from and around a monadic core. Lacan and Castoriadis agree therefore that violence is fundamental to the formation of the individual, but they seem to disagree on whether it entails a symbolic or social form of violence. By way of conclusion, however, I undermine this apparent binary opposition by showing that, for Lacan, the symbolic is inherently social and, for Castoriadis, the social is linked to symbolic relations. As a consequence, both agree that violence is key to the formation of the individual and is socio-symbolic in nature. (shrink)

Wittgenstein's Tractatus carefully distinguished the concept all from\nthe notion of a truth-function, and thereby from the quantifiers.\nI argue that Wittgenstein's rationale for this distinction is lost\nunless propositional functions are understood within the context\nof his picture theory of the proposition. Using a model Tractatus\nlanguage, I show how there are two distinct forms of generality implicit\nin quantified Tractatus propositions. Although the explanation given\nin the Tractatus for this distinction is ultimately flawed, the distinction\nitself is a genuine one, and the forms of generality that (...) Wittgenstein\nindicated can be seen in the quantified sentences of contemporary\nlogic. (shrink)

Many physicians, anatomists and natural philosophers engaged in attempts to map the seat of the soul during the so-called Scientific Revolution of the European seventeenth century. The history of these efforts needs to be told in light of the puzzlement bred by today's strides in the neurological sciences. The accounts discussed here, most centrally by Nicolaus Steno, Claude Perrault and Thomas Willis, betray the acknowledgement that a gap remained between observable form, on the one hand, and motor and sensory (...) functions, on the other. Observation yielded information about form, but did not guarantee a constant correlation with presumed function, while the mechanisms of sense and movement did not fit in with accounts of action and cognition whose purpose was to place the connection between active body and willful, conscious soul onto a descriptive rather than metaphysical plane. Teleology was now no longer a helpful tool in the disciplines of anatomy and physiology; the consequences of this are still with us. (shrink)

Some of the topics presented in this volume of original essays on contemporary approaches to belief include the problem of misrepresentation and false belief, conscious versus unconscious belief, explicit versus tacit belief, and the durable versus ephemeral question of the nature of belief. The contributors, Fred Dretske, Keith Lehrer, William Lycan, Stephen Schiffer, Stephen P. Stich, and the editor, Radu Bogdan, focus on the mental realization of belief, its cognitive and behavioral aspects, and the semantic aspects of its content. This (...) interdisciplinary study takes advantage of many new theories in what has become an important area of research. (shrink)

Functions of type n are characteristic functions on n-ary relations. Keenan [5] established their importance for natural language semantics, by showing that natural language has many examples of irreducible type n functions, i.e., functions of type n that cannot be represented as compositions of unary functions. Keenan proposed some tests for reducibility, and Dekker [3] improved on these by proposing an invariance condition that characterizes the functions with a reducible counterpart with the same behaviour on product relations. The present paper (...) generalizes the notion of reducibility (a quantifier is reducible if it can be represented as a composition of quantifiers of lesser, but not necessarily unary, types), proposes a direct criterion for reducibility, and establishes a diamond theorem and a normal form theorem for reduction. These results are then used to show that every positive n function has a unique representation as a composition of positive irreducible functions, and to give an algorithm for finding this representation. With these formal tools it can be established that natural language has examples of n-ary quantificational expressions that cannot be reduced to any composition of quantifiers of lesser degree. (shrink)

This article focuses on claims about the origin and evolution of language from the point of view of the formalist–functionalist debate in linguistics. In linguistics, an account of a grammatical phenomenon is considered “formal” if it accords center stage to the structural properties of that phenomenon, and “functional” if it appeals to the language user's communicative needs or to domain‐general human capacities. The gulf between formalism and functionalism has been bridged in language evolution research, in that some leading formalists, (...) Ray Jackendoff for one, appeal to functional mechanisms such as natural selection. In Jackendoff's view, the biological evolution of language has proceeded in stages, each stage improving communicative efficiency. This article calls into question that idea, pointing to the fact that well‐understood purely historical processes suffice to explain the emergence of many grammatical properties. However, one central aspect of formalist linguistic theorizing—the idea of the autonomy of syntax—poses a challenge to the idea, central to most functionalist approaches, that the nature of grammar is a product of purely historical (as opposed to biological) evolution. The article concludes with a discussion of the origins of the autonomy of syntax, speculating that it may well have arisen over evolutionary (as opposed to historical) time. (shrink)

On the one hand, Aristotle claims that the matter of a material thing is not part of its form. On the other hand, he suggests that the proper account of a natural thing must include a specification of the kind of matter in which it is realized. There are three possible strategies for dealing with this apparent tension. First, there may be two kinds of definition, so that the definition of the form of a thing does not include (...) any specification of its matter, whereas the definition of a compound does. Second, the definition of a substance may not include a specification of its matter at all, but still reveal in what kinds of matter its form can be realized. Third, there may be a special kind of matter, functional matter, which belongs to the form of certain things. I will show that the functional matter of a thing does not belong to its form (in a strict sense of “form”), but that an adequate account of natural substances and their functions must nonetheless involve a reference to their functional matter. This means that the function of a natural thing is not the same as its form and that its adequate account as a natural thing is not a definition (in a strict sense of “form” and “definition”). (shrink)

This work is an examination of the metaphysical presuppositions involved in the science of organic form. Taking the dichotomy of structuralism versus functionalism in nineteenth century biology as the central subject of my study, I explore a network of unquestioned premises and isolate areas where empirical research programs and underlying metaphysical commitments both inform and hinder each other. ;I begin with the Cuvier-Geoffroy debate of 1830--a debate that clearly articulates the tensions between structuralist and functionalist approaches to organic (...) class='Hi'>form. On the side of functionalism, I am led to confront the rich concept of teleological causality. The concept of teleology, frequently taken to be semantically univocal, in fact unfolds into a cluster of related notions. I begin to demarcate significant differences between "intentional," "heuristic," "cosmic," and "organismic" teleology. On the side of structuralism, I set out to unearth the presuppositions of materialist versus idealist conceptions of structure--showing where naturalists have been both liberated and enslaved by their respective metaphysical commitments. With the basic divisions between structuralist and functionalist drawn, I set out to trace the dichotomy through the paradigm shift from fixism to transformism. ;In Darwin's system the structural/functional tensions become synthesized into complementary principles of causality. Here I explore the underlying presuppositional shifts which enabled Darwin to harmonize the previously intractable oppositions. These shifts include: rethinking teleology without "design," rethinking the archetype as real progenitor, and adopting a pluralistic perspective regarding causal mechanisms. ;The relative success of Darwin's appropriation of structuralism and functionalism leads to a discussion of the dichotomous character of the central subject itself. I argue that at the root of the dichotomous characterization of structure and function lies an impoverished understanding of teleology. I then offer "organicist" teleology as a powerful alternative to the French-Anglo tradition of "intentional" teleology. Presupposing the alternative teleology forms a challenge to the way in which French-Anglo naturalists have understood structural and functional relations. Together with Darwin's causal pluralism, a richer notion of teleology provides a different set of metaphysical assumptions and leads to an alternative model for empirical research programs. (shrink)

A large number of scholars have argued that a) Islamic architecture is hidden, in the sense that its interior is not articulated on the basis of its exterior; b) the form of Islamic buildings neither expresses nor embodies its function; and c) Islamic architecture is not tectonic or structural, but iconic in character. In this paper, we use Ernst Grube’s analysis of these three claims and focus our attention on the design of the congregational mosques. This paper presents informed (...) arguments against these claims. We begin the discussion with a clarification of the meaning of ‘form follows function’. A clear understanding of the relationship between these two concepts is indispensable for evaluating the claims that Grube makes in his analyses. Then we argue that the form of the congregational mosque embodies its function in a significant manner. Finally, the paper explains in some detail how the function of a mosque is the basis on which its formal structure is designed. The proposition that we defend in this paper is that Islamic architecture exists and expresses the spirit of Islamic culture. (shrink)

Despite tributes paid to Fuller as an intellectual father of ADR, little attention has been paid within the ADR field to the broader interactionist vision that underlies Fuller’s discussion about process. A closer reading of Fuller’s study of mediation, however, reveals that he intended that study to substantiate his interactionist thesis about the nature of social ordering. He understood ordering to be generated by and to reflect a particular experience of social interaction. Fuller’s interactionist vision recognizes the creative, choice-making and (...) purposive dimensions of human reality, emphasizes participation as a normative criterion for institutional design, and gives rise to a pluralistic notion of power arrangements. It appears in Fuller’s thinking about process as a kind of dialectic and integrative mindset that pervades his means-ends analysis, functional analytical approach and his emphasis on institutional design. This interactionist vision has particular relevance for the practice and research of ADR, for example, in helping to develop a more integrative approach to process pluralism. (shrink)

A single case study of a patient, D.M., with a lesion in the region of the right occipito-temporal gyrus is presented. D.M. had well-preserved language and general cognitive abilities. Colour discrimination, contrast sensitivity, gross depth perception, spatial localization, and motion appreciation were within normal limits.On the evaluation of perceptual abilities, he failed to identify two-dimensional shapes from stereoscopic vision, motion, and texture although in all cases he was able to identify the rough area subtended by the shape. These findings are (...) considered in relation to the current anatomical-physiological functional models of vision and it is suggested that D.M. 's deficits provide evidence for the existence in man of a functional pathway involved in the computation of texture and fine aspects of shape, which is distinct from the pathways involved in motion and stereopsis processing on one hand and colour and coarse aspects of form on the other hand. (shrink)

Green's target article is an attack on most current connectionist models of cognition. Our commentary will suggest that there is an essential component missing in his discussion of modeling, namely, the idea that the appropriate level of the model needs to be specified. We will further suggest that the precise form of connectionist networks will fall out as ever more detailed constraints are placed on their function.

In the present study we analyse a sample of Irish Child Directed Speech in terms of item-based constructions and the communicative intents which they express. The study is based on the speech of an Irish native speaker engaged in daily activities with her son (aged 1;9). The findings of the analyses indicate the high degree of lexical specificity attested in the sample; in total 35 item-based frames account for just under 70% of analysed utterances. In most cases there was a (...) one-to-one relationship between item-based frame and communicative intent. However, of particular interest was the clustering of structurally related frames around specific functions. We propose that this relationship highlights the role of communicative intent in the organisation of structural linguistic knowledge. (shrink)

Does the three‐dimensional (3D) conformation of interphase chromosomes merely reflect their function or does it actively contribute to gene regulation? The analysis of sex chromosomes that are subject to chromosome‐wide dosage compensation processes promises new insight into this question. Chromosome conformations are dynamic and largely determined by association of distant chromosomal loci in the nuclear space or by their anchoring to the nuclear envelope, effectively generating chromatin loops. The type and extent of such interactions depend on chromatin‐bound transcription regulators and (...) therefore reflects function. Dosage compensation adjusts the overall transcription activity of X chromosomes to assure balanced expression in the two sexes. Initial analyses of mammalian and Drosophila X chromosomes have led to the hypothesis that their conformations may not only reflect their functional state but may in turn contribute to the coordination of chromosome‐wide tuning of transcription. (shrink)

Evolutionary theory makes further predictions about conflict. It predicts sex differences in the proclivity to attack and defend. It further suggests complementary biases in what we expect of the sexes. Finally, it suggests that the forms of human facial expressions of anger and happiness may have coevolved with the regularity of conflict as a means of signaling, bluffing, and defusing attack.

I would like to emphasize the significance of chaotic dynamics at both local and macroscopic levels in the cortex. The basic notions dealt with in this commentary will be noise-induced order, chaotic “itinerancy” and dissipative structure. Wright & Laley's theory would be partially misleading, since emergent nonlinearity rather than the linearity at even a macroscopic level can actually subserve cortical functions.

Understanding neural anatomy and physiology depends on first understanding the behaviour being mediated. Glover, in his review of earlier work suggesting various dichotomies in visual processing, shows how there is a tendency to oversimplification if this approach is ignored. His own new proposals demonstrate the advantages of allowing function to drive anatomical analysis. Nevertheless, the new planning–control dichotomy he proposes, though a valuable advance, is itself an oversimplification of what must be a multi-channel system.