This article considers distinct ways of understanding the world, referred to in psychology as Functions of Consciousness or as Cognitive Modes, having as the scope of interest epistemology and natural sciences. Inspired by C.G. Jung's Simile of the Spectrum, we consider three basic cognitive modes associated to: (R) embodied instinct, experience, and action; (G) reality perception and learning; and (B) concept abstraction, rational thinking, and language. RGB stand for the primary colors: red, green, and blue. Accordingly, a conceptual map between (...) cognitive modes and primary and secondary colors is built based on the physics and physiology of color perception and epistemological characteristics of the aforementioned cognitive modes, leading to logical relations structured as an Hexagon of Opposition. Finally, this model of cognitive modes is applied to the analysis and interpretation of some important episodes in the historical development of physics and technology. (shrink)

This article considers distinct ways of understanding the world, referred to in psychology as functions of consciousness or as cognitive modes, having as the scope of interest epistemology and natural sciences. Inspired by C.G. Jung’s simile of the spectrum, we consider three basic cognitive modes associated to: (R) embodied instinct, experience, and action; (G) reality perception and learning; and (B) concept abstraction, rational thinking, and language. RGB stand for the primary colors: red, green, and blue. Accordingly, a conceptual map between (...) cognitive modes and primary and secondary colors is built based on the physics and physiology of color perception and epistemological characteristics of the aforementioned cognitive modes, leading to logical relations structured as an hexagon of opposition. Finally, this model of cognitive modes is applied to the analysis and interpretation of some important episodes in the historical development of physics and technology. (shrink)

The first thing to stress is that although the orientation of the grave implies a point of view somewhere to its left, the attenuation of illusion in the rendering of the grave makes that implication anything but conspicuous. Consequently, a beholder who approaches the Burial by centering himself before it , and in so doing exposes himself to the full force of its solicitations toward merger , will very likely not even notice that the grave is skewed relative to the (...) picture plane . Furthermore, the fact that the point of view posited by the orientation of the grave lies opposite the most active and, at first glance, the most confusion portion of the composition also serves to forestall an awareness that such a point of view may be held to exist.Here it is useful to compare the finished painting with the preliminary drawing. In the latter the grave is at the far left; a single procession, to be joined by the pallbearers, makes its way across the sheet; and two figures, the crucifix-bearer and the hatless man at the center , appear to gaze out of the drawing as if at a spectator centered before it. In the finished painting, on the other hand, various processional units are shown converging precisely there; and yet not only does no outward gaze place the beholder directly before the grave, it appears that a deliberate effort has been made to keep the center of the composition blank, as if to install at the ostensible heart of the painting a formal/ontological equivalent to the unemphatic emptiness lying open below it. Thus both the gravedigger and the dog turn their heads away from the vicinity of the grave; the mourner to the right of the gravedigger weeps facelessly into a handkerchief; and a barely modulated expanse of black pigment looms like a great blind spot between the gravedigger and the two veterans of ’93. It is as though the Burial’s curiously indeterminate affective atmosphere comes to a head in this portion of the canvas, which as we have seen bears the principal burden of facilitating the merger of painting and beholder.47 And of course the avoidance of overt address to the beholder that such a strategy implies also helps to reduce the risk of conflict between the generally centering character of the composition as a whole and the slant orientation of the grave. 47. Clark, Image of the People, p.81. (shrink)

The nonlinear σ-model with vector mesons introduced as gauge bosons and an interacting chiral quark sector depicts the nucleon as a topological soliton embedded in a chiral condensate. High-energy elastic pp and ¯pp scattering data from CERN ISR and SPS Collider appear to provide strong evidence in favor of this nucleon structure.

E. Barker twice wrote essays entitled ‘The composition and structure of Aristotle’s Politics’, first as a journal article in 1931, and later in 1946 as part of the introduction to his translation of the Politics. In these two essays, he came to exactly the opposite conclusions. In the first paper, he distinguished three periods in Aristotle’s life and assigned to each of them three ‘blocks’ in the Politics, based on the criterion of how closely these blocks were related to, or (...) are removed from, Plato’s political theory. In doing so, he not only followed W. Jaeger’s genetic approach, but also went beyond it by assuming that there were three different strata of Aristotle’s political philosophy. In 1946, however, Barker rejected not only Jaeger’s approach, but his own method of reading Aristotle’s Politics. This paper evaluates the merit of Barker’s arguments and comes to the conclusion not only that Barker’s essay from 1946 ignored the intellectual context of the Politics, but also that his view of the Politics as unitary in composition and structure overlooks many problems this work poses. (shrink)

The main objective of this paper is devoted to two main parts. First, the paper introduces logical interpretations of classical structures of opposition that are constructed as extensions of the square of opposition. Blanché’s hexagon as well as two cubes of opposition proposed by Morreti and pairs Keynes–Johnson will be introduced. The second part of this paper is dedicated to a graded extension of the Aristotle’s square and Peterson’s square of opposition with intermediate quantifiers. These quantifiers are linguistic expressions (...) such as “most”, “many”, “a few”, and “almost all”, and they correspond to what are often called “fuzzy quantifiers” in the literature. The graded Peterson’s cube of opposition, which describes properties between two graded squares, will be discussed at the end of this paper. (shrink)

The aim of this work is to revisit the proposal made by Dag Westerståhl a decade ago when he provided a modern reading of the traditional square of opposition and of related structures. We propose a formalization of this modern view and contrast it with the classical one. We discuss what may be a modern hexagon of opposition and a modern cube, and show their interest in particular for relating quantitative expressions.

Since the publication of Kuhn’s The Structure of Scientific Revolutions in 1962, the notion of paradigms has shaped the way that philosophy views scientific discovery and how changes in what is regarded as empirical fact occur. This drew heavily on examples from the history of the natural sciences to support Kuhn’s hypothesis. However, some argue that medicine is different from the natural sciences. Gillies has proposed another theory of how paradigms apply to medicine; that of composite paradigms. In doing so, (...) Gillies uses the example of Helicobacter pylori and the shift from the excess-acid theory to the current bacterial-infection theory of gastric ulcers to illustrate these fundamental differences between medicine and the natural sciences.Upon analysis of Gillies’ claim, it is evident that traditional Kuhnian paradigms are also composite and that the manner in which Gillies proposes disease is classified is insufficient in describing medicine. Furthermore, new local paradigms are demonstrably introduced and the change was accompanied by many of the markers of paradigmatic change including changes in worldview, resistance, incommensurability and the introduction of new questions that could not have existed under the previous paradigm. Whilst this change may not be on the scale of the Chemical revolution, it can still be considered paradigm shift.Thagard also proposes an alternate view of discovery using the case of H. pylori. This has much in common with Kuhnian paradigms but Thagard’s theory offers further elucidation and refinement. This allows it to better characterise all of the associated features of discovery relevant in the case of H. pylori, thus provides a preferable tool for examination of this important recent discovery. (shrink)

This paper suggests a new approach (with old roots) to the study of the connection between logic and geometry. Traditionally, most logic diagrams associate only vertices of shapes with propositions. The new approach, which can be dubbed ’full logical geometry’, aims to associate every element of a shape (edges, faces, etc.) with a proposition. The roots of this approach can be found in the works of Carroll, Jacoby, and more recently, Dubois and Prade. However, its potential has not been duly (...) appreciated, probably because of the complexity of the diagrams in these works. The following study demonstrates how the Hexagon of Opposition can be represented as a triangle and Classical Logic as a tetrahedron (rather than a rhombic dodecahedron). It then applies the approach to modal logic, extending the tetrahedron for the logic KT into a dipyramid and a cube for KD, and finally an octahedron for K. Some possible directions for further research are also indicated. (shrink)

Composition as identity, as I understand it, is a theory of the composite structure of reality. The theory’s underlying logic is irreducibly plural; its fundamental primitive is a generalized identity relation that takes either plural or singular arguments. Strong versions of the theory that incorporate a generalized version of the indiscernibility of identicals are incompatible with the framework of plural logic, and should be rejected. Weak versions of the theory that are based on the idea that composition is merely analogous (...) to identity are too weak to be interesting, lacking in metaphysical consequence. I defend a moderate version according to which composition is a kind of identity, and argue that the difference is metaphysically substantial, not merely terminological. I then consider whether the notion of generalized identity, though fundamental, can be elucidated in modal terms by reverse engineering Hume’s Dictum. Unfortunately, for realists about possible worlds, such as myself,... (shrink)

There are two classical and opposite positions about scientific discovery: the one that conceives scientific discovery activity as fully rational and the one that conceives scientific discovery activity as fully irrational. In the first case, machines are regarded as able to perform the scientific discovery process whereas, in the second case, machines are considered unable to perform any part of the scientific discovery process.We adopt a third intermediate approach that envisages a new role for machines, which are conceived as descriptions (...) of the results of scientific discovery activity. More precisely, the purpose of the paper is to illustrate the multilevel structure of a machine, called creative dynamic agency, that represents the articulated and incremental description of the product of scientific discovery process. The multilevel architecture reflects the composition relation that holds among phenomena described by creative agents that compose creative dynamic agency. (shrink)

This article introduces confirmatory composite analysis (CCA) as a structural equation modeling technique that aims at testing composite models. In doing so, it overcomes a current weakness of structural equation modeling, i.e., the operationalization and assessment of design concepts, so-called artifacts. CCA entails the same steps as confirmatory factor analysis: model specification, model identification, model estimation, and model assessment. Composite models are specified such that they consist of a set of interrelated composites, all of which emerge as linear combinations of (...) observable variables. Researchers must ensure theoretical identification of their specified model. For the estimation of the model, several estimators are available; in particular Kettenring's extensions of canonical correlation analysis provide consistent estimates. Model assessment mainly relies on the Bollen-Stine bootstrap to assess the discrepancy between the empirical and the estimated model-implied indicator covariance matrix. A Monte Carlo simulation examines the efficacy of CCA, and demonstrates that CCA is able to detect various forms of model misspecification. (shrink)

We describe a logic which is the same as first-order logic except that it allows control over the information that passes down from formulas to subformulas. For example the logic is adequate to express branching quantifiers. We describe a compositional semantics for this logic; in particular this gives a compositional meaning to formulas of the 'information-friendly' language of Hintikka and Sandu. For first-order formulas the semantics reduces to Tarski's semantics for first-order logic. We prove that two formulas have (...) the same interpretation in all structures if and only if replacing an occurrence of one by an occurrence of the other in a sentence never alters the truth-value of the sentence in any structure. (shrink)

All sufficiently large functional notations (ideographic or otherwise) are composites of discrete, structured elements (e.g., phonemes, morphemes, numerals). We must consider not only the modality but also the structure of the existing, workable ideographic/semasiographic systems we know (e.g., musical and numerical notation) to establish the cognitive limitations militating against humans memorizing and standardizing domain-general ideographies that would parallel written language.

The no-miracles argument for realism and the pessimistic meta-induction for anti-realism pull in opposite directions. Structural Realism---the position that the mathematical structure of mature science reflects reality---relieves this tension.

In lieu of an abstract, here is a brief excerpt of the content:Cartesian CompositesPaul HoffmanTowards the end of a paper in which I argued that Descartes thinks a human being is a genuine unity, I invited other commentators to come to Descartes’s defense by accounting for his apparently contradictory claims that a human being is an ens per se and that it is an ens per accidens.1 These claims seem to be contradictory, because in saying that a human being is (...) an ens per se, Descartes appears to be asserting that a human being is genuinely one, and in saying that a human being is an ens per accidens, he appears to assert that a human being is not genuinely one, but instead is a mere heap or aggregate. In the ensuing eleven years no one has taken up my invitation, except to argue that I was mistaken in claiming that Descartes thinks a human being has per se unity in any robust sense.2In this paper I will take up the challenge myself, having noticed a similarity between Descartes’s account of the unity of composite substances and his account of composite figures having true and immutable natures. After showing how he can consistently maintain that a human being is both an ens per se and ens per accidens in roughly the same way he can consistently maintain that composite figures both do and do not have true and immutable natures, I will try to respond to criticisms of my claim that he thinks of a human being as a substance or an ens per se.Let me begin with an analysis and comparison of two passages from the Objections and Replies. In the first, from the Replies to the First Objections, Descartes [End Page 251] discusses composite figures. In the second, from the Replies to the Fourth Objections, Descartes discusses composite substances.Next, to remove the other part of the difficulty, it should be noted that those ideas which do not contain true and immutable natures, but contain only ones which are fictitious and composed by the intellect, can be divided by the same intellect, not only through abstraction, but through a clear and distinct operation, so that any ideas which the intellect cannot so divide were undoubtedly not composed by it. As, for example, when I think of a winged horse, or an actually existing lion, or a triangle inscribed in a square, I easily understand that I can also in opposition think of a horse without wings, a non-existing lion, a triangle without a square, and so on; from which it follows that these do not have true and immutable natures. But if I think of a triangle or a square (I do not speak here of a lion or horse because their natures are not clearly evident to us), then certainly whatever I apprehend as contained in the idea of a triangle, as that its three angles are equal to two right angles, etc., I will truly affirm of the triangle, and of the square whatever is found in the idea of the square. For even if I can understand a triangle, abstracting from the fact that its angles should equal two right angles, I cannot nevertheless deny that of it by a clear and distinct operation, that is, correctly understanding this is what I say. Furthermore, if I consider a triangle inscribed in a square, not in order to attribute to the square those things which pertain only to the triangle or to the triangle those things which pertain to the square, but in order to examine only those things which arise from the conjunction of the two, then its nature will be no less true and immutable than the square or triangle alone, and it will be permitted to affirm that the square is not less than twice the triangle inscribed in it and similar things which pertain to the nature of this composite figure. (AT VII 117–8; CSM II 83–4)3I am not unaware that some substances are commonly called ‘incomplete.’ But if they are said to be incomplete because they cannot exist per se alone, I confess that it seems contradictory to me that... (shrink)

The development of explicit theories of dynamic context change has led to a fundamentally new perspective on the interpretation of discourse. In this paper I show that this development also opens up the possibility of approaching subclausal composition along similar lines. More specifically, I argue that a dynamic theory where type-driven rules apply directly to overt surface structures and fill in missing information by building anaphoric bridges is more faithful to natural language semantics than the classical Montagovian approach.

The structure which is generally taken to underlie the composition of the plays of Aristophanes is made up of a number of quantitative parts which have been abstracted by dividing the comedies into broad sections. It roughly corresponds to the quantitative division of tragedy offered by the twelfth chapter of Aristotle'sPoetics, and includes prologue,parodos, ‘proagon’or ‘battle scene,’ ‘epirrhematicagon,’ parabasis, iambic scenes, choral songs orstasimo, exodos.

The discussion about a difference between brain and soul or mind is now at the center of the anthropological debate. It seems that the pioneers in this current polemic have a reductionistic view of human nature, inherited from the Cartesian solution to mind-body problem and the modern materialistic explanation of reality. This view – dualistic or monistic – about the opposition between material and immaterial structure of the person, claims that as a consequence of scientific progress, the human brain in (...) the future could be completely explained in naturalistic terms. On the other hand, according to the new results of scientific research, this situation reveals the possibility to develop a new, more adequate paradigm of man as an incarnated person. This change was called by many researchers “the passage from the mind-body problem to the person-body problem”. It seems that the Aristotelian-Thomistic approach is the most suitable to describe this “paradigm shift”. Aristotelian-Thomistic philosophy undoubtedly encourages lively dialogue between philosophy and contemporary sciences through its dual ontology. Thus, it can give suitable answers for questions about the nature of human reason ; unity of composition of the human brain and the role of causality in natural processes. (shrink)

I can make no sense of a true, literal application of the notion of proper (nontemporal) components or parts to things that occupy no space. Others apparently can, and some construct elaborate theories of propositional structure… Perhaps I am blind to a possibility that other, cognitively better endowed philosophers see. From my unseeing perspective, though, it is more likely that the appearance of sight deceives.

Our aim is to show that translating the modal graphs of Moretti’s “n-opposition theory” (2004) into set theory by a suited device, through identifying logical modal formulas with appropriate subsets of a characteristic set, one can, in a constructive and exhaustive way, by means of a simple recurring combinatory, exhibit all so-called “logical bi-simplexes of dimension n” (or n-oppositional figures, that is the logical squares, logical hexagons, logical cubes, etc.) contained in the logic produced by any given modal graph (...) (an exhaustiveness which was not possible before). In this paper we shall handle explicitly the classical case of the so-called 3(3)-modal graph (which is, among others, the one of S5), getting to a very elegant tetraicosahedronal geometrisation of this logic. (shrink)

He then proposes two levels of analysis: a "deep-structure" level, which describes the associations of words and ideas before they take metrical form, and a "surface-structure" level, which describes the words as they are employed on any particular occasion. Out of Line combines formulaic and metrical analysis, expanding the study of Homeric meter both in practice, by taking into account larger compositional structures such as entire scenes, and in theory, by using the result to test models of formulaic (...) composition. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:On Sharing BreathJody Sperling (bio)My work as choreographer dwells on the inseparability between breath and atmosphere. There are no firm boundaries between the air we breathe in, the air surrounding us, and the air enveloping the planet. This is as true for air as it is for water—there is only one global ocean, although by convention we divide the seas into named regions. When you move through the ocean (...) of air enveloping you, you displace it and create dynamic unseen wakes in your midst.Beginning with my dance, "Turbulence" (2011),1 I sought to visualize such patterns of air disturbance into kinetic sculptural forms. To do so, the six dancers deployed Loie Fuller-style costumes, disquieting the air and materializing its gyrations. An early innovator of performance technology, Fuller danced in robes fashioned from hundreds of yards of silk with embedded wands that extended her body's motion into space. Serendipitously introduced to Fuller's work in 1997, I became seduced by the genre for the way it imbues the doer with an expanded sense of self. Whirling in the Fuller-style garments, I felt, and still feel, integrated into the atmosphere as an eddy or gust.With "Wind Rose" (2019),2 a collaboration with composer Matthew Burtner, I focused on making the connections between breath and wind palpable. Wind is said to be the breath of the planet, a driver of earthly life. A windrose is a meteorological tool that graphically represents wind speed, direction and variability at a particular time and place. I thought, what if I designed choreography with the intention not to create human motion, but in order to create a windrose—an atmospheric snapshot—in the performing space? At the start of "Wind Rose," the five dancers stand shoulder to shoulder and circle the stage so as to forge a human turbine. As the dancers accelerate their cyclonic motion, they push a swelling air wave towards the audience.For another section, I choreographed eight motions, each of which was connected with a sound. The sounds were made either by the dancers whipping their Fuller-style costumes through the air or by the dancers' breathy vocalizations. Matthew took my eight sound-breath-moves and composed a fugue. The dancers perform this music-motion score so that [End Page 155] they stir up a breeze pattern—a fugue that can be felt, as well as seen and heard.Wind has been changing along with climate. Locally, winds are becoming more chaotic. Globally, the high winds are slowing down and the polar jet stream is becoming wonky. But we are not in the habit of listening to the changing winds. One of the root causes of climate inaction has been a deep disconnect between people and their atmosphere. Many among the privileged live out their lives in climate-controlled habitats. Recently, though, even wealthy nations and the elite are starting to feel the heat. These days, no matter how deeply you bury your head in the sand, your butt will still get scorched.As a way of grappling with life in the Anthropocene, I have been formulating an open inquiry called ecokinetics. I conceived ecokinetics as a choreographic corollary to ecoacoustics, an environmental mode of music composition pioneered by Matthew Burtner, my long-time musical collaborator. According to Matthew, "ecoacoustics embeds environmental systems into musical and performance structures using new technologies" (Burtner). Ecokinetics asks, how can we relate human movement to environmental systems? How can choreography (aesthetically patterned human motion) illuminate, echo, expand upon the movement vectors present at a site and help us better understand local ecologies? How can dance entwine with media technologies to embody the processes of natural systems? Ecokinetics is part personal movement practice, part pedagogical tool, and part performance methodology.In its essence, ecokinetics repudiates the separation of humans from nature, a pervasive Colonialist mindset that needs constant undoing. In order to make progress on climate change, we must feel—truly and deeply—that we are part of the planet and not apart from it. This is the opposite of what the billionaires' space club aims to accomplish. Bezos, Branson, and Musk, et al. view distance from Earth as a... (shrink)

The Cultural Production of Social Movements offers a theory of cultural practices, protest tactics, strategic planning and deliberation, and movement organizational structures: “ideological contention.” It is a theory of ideology “from below.” The Cultural Production of Social Movements shows how conflicts—both with external political forces and disagreements, dissensus, and the decision-making process internal to social movements—produce knowledge and meanings that, in turn, impact upon and change the practices that contribute to how social movements are structured and organized. The Cultural (...) Production of Social Movements theorizes the relationship between consciously held superordinate ideas, the changing composition of progressive and oppositional social struggles, and the social worlds they hope to inhabit. Analyzing the Black Panther Party, specifically Kathleen Cleaver’s break with the Student Non-violent Coordinating Committee and her contributions to the Party, Operaismo (or Workerism) in Italy and the relationship between shifting organizational strategies, inventive tactics, and novel and expansive ways to theorize class struggles, and the communal composition of “Worker-Recovered Enterprise Movements” in contemporary Argentina, this book shows how movement ideologies change and how meanings structure organizations, mobilizations, and futures. In The Cultural Production of Social Movements ideology is neither a static set of principles, nor is an unconscious orientation towards power and governance. Rather, it is the contentious, democratizing, and deliberative processes—which become realized as tactics in protests, struggles, defeats, and victories—that makes the relationship between movements, and what they “mean” conscious to its participants. (shrink)

The aim of this paper is to analyse categorical propositions and their oppositional relations in Avicenna’s frame. For Avicenna’s expression and conception of categorical propositions is different from those of the authors who preceded him, due to the various conditions he adds to these categorical propositions. These additions make the oppositional relations richer and give rise to many more figures than a simple square. Our analysis exhibits some of these figures by relating all kinds of quantified propositions in (...) various ways. We thus find many squares of oppositions, several octagons, two hexagons and many complex figures which are different from each other and have specific and original structures, due to the propositions they contain. The hexagons are of Blanché’s kind, but one of them is asymmetric. Some octagons are of Buridan’s kind, but one of them is very unusual and seems to be a reversal of Buridan’s octagon. These octagons can also be replaced by cubes, which are three dimensional figures having the same number of vertices. (shrink)

Newton ’s laws of motion imply that any plurality of particles whatsoever considered as a whole obeys Newton ’s laws. Nevertheless, I define a Newtonian composite object as an object for the purposes of Newtonian mechanics in which the atoms act in casual dependence on one another in such a way that the whole is structurally stable in many interactions. An elastic solid object is a type of a Newtonian composite object in which each atom is in stable spatial equilibrium (...) relative to the others — it can only move slightly relative to its position in the lattice of inter-atomic spatial relations. It is easy to generalize the notion of Newtonian composite object and define a general composite object. (shrink)

In this paper we argue that there is a large class of expressions, typified by ‘plastic flower’, ‘stuffed animal’ and ‘kosher bacon’, that have a unique semantics combining compositional, idiomatic and decompositional interpretation. These expressions are compositional because their constituents contribute their meanings to the meanings of the wholes; they are idiomatic because their interpretation involves assigning dictionary entries to non-terminal elements in their syntactic structure; and they are decompositional because their meanings have proper parts that are not (...) the meanings of any of their syntactic constituents. We argue that extensionalist semantics, on which the meaning of an expression is a function from domains to extensions in those domains, cannot provide an adequate account of the semantics of these expressions, and that supplementation with a theory of pragmatic interpretation does not improve the situation. We show how our account explains the intensionality and the productivity of these expressions. (shrink)

Semantics in the Montagovian tradition combines two basic tenets. One tenet is that the semantic value of a sentence is an intension, a function from points of evaluations into truth-values. The other tenet is that the semantic value of a composite expression is the result of applying the function denoted by one component to arguments denoted by the other components. Many philosophers object to intensional semantics on the grounds that intensionally equivalent sentences do not substitute salva veritate into attitude ascriptions. (...) They propose instead that the semantic values of sentences must be structured propositions. In rejecting intensional semantics, philosophers who endorse structured propositions also usually reject functional compositionality, undermining both tenets of the Montagovian programme. I defend a semantic theory that incorporates both structured propositions and functional compositionality. I argue that this semantic theory can preserve many explanatory benefits of Montague semantics. Finally, I show how treating composition functional application can resolve core problems internal to a theory of structured propositions. (shrink)

An arithmetic theory of oppositions is devised by comparing expressions, Boolean bitstrings, and integers. This leads to a set of correspondences between three domains of investigation, namely: logic, geometry, and arithmetic. The structural properties of each area are investigated in turn, before justifying the procedure as a whole. Io finish, I show how this helps to improve the logical calculus of oppositions, through the consideration of corresponding operations between integers.

Some recent exchanges (Gebharter 2017a,2017b; Baumgartner and Cassini, 2023) concern whether composition can have conditional independence properties analogous to causal relations. If so, composition might sometimes be detectable by the application of causal search algorithms. The discussion has focused on a particular algorithm, PC (Spirtes and Glymour, 1991). PC is but one, and in many circumstances not the best, of a host of causal search algorithms that are candidates for methods of discovering composition provided appropriate statistical relations obtain. The discussion (...) raises two issues: 1. Does the structure of the composition relation entail probability relations such that PC and like algorithms cannot discover composition from frequency data about kinds; and 2. what can be discovered—and how—about the composition of systems by PC or related causal search algorithms that exploit conditional independence relations. Baumgartner and Cassini answer the first question positively: constitution entails probability relations incompatible with discovery by PC. They do not engage the second question, but we will. (shrink)

In this paper we explore a class of belief update operators, in which the definition of the operator is compositional with respect to the sentence to be added. The goal is to provide an update operator that is intuitive, in that its definition is based on a recursive decomposition of the update sentence’s structure, and that may be reasonably implemented. In addressing update, we first provide a definition phrased in terms of the models of a knowledge base. While this (...) operator satisfies a core group of the benchmark Katsuno Mendelzon update postulates, not all of the postulates are satisfied. Other Katsuno Mendelzon postulates can be obtained by suitably restricting the syntactic form of the sentence for update, as we show. In restricting the syntactic form of the sentence for update, we also obtain a hierarchy of update operators with Winslett’s standard semantics as the most basic interesting approach captured. We subsequently give an algorithm which captures this approach; in the general case the algorithm is exponential, but with some not unreasonable assumptions we obtain an algorithm that is linear in the size of the knowledge base. Hence the resulting approach has much better complexity characteristics than other operators in some situations. We also explore other compositional belief change operators: erasure is developed as a dual operator to update; we show that a forget operator is definable in terms of update; and we give a definition of the compositional revision operator. We obtain that compositional revision, under the most natural definition, yields the Satoh revision operator. (shrink)

This paper argues that the interventionist account of causation faces a dilemma concerning macroscopic causation – i.e., causation by composite objects. Interventionism must either require interventions on a composite object to hold the behavior of its parts fixed, or allow such interventions to vary the behavior of those parts. The first option runs the risk of making wholes causally excluded by their parts, while the second runs the risk of mistakenly ascribing to wholes causal abilities that belong to their parts (...) only. Using as starting point Baumgartner’s well-known argument that interventionism leads to causal exclusion of multiply realized properties, I first show that a similar interventionist exclusion argument can be mounted against the causal efficacy of composite objects. I then show that Woodward’s (2015) updated interventionist account (explicitly designed to address exclusion worries) avoids this problem, but runs into an opposite issue of over-inclusion: it grants to composites causal abilities that belong to their parts only. Finally, I examine two other interventionist accounts designed to address Baumgartner’s argument, and show that when applied to composites, they too fall on one horn (exclusion) or the other (over-inclusion) of the dilemma. I conclude that the dilemma constitutes an open and difficult issue for interventionism. (shrink)

Recently a new attempt to go beyond QM was performed in the form of so-called prequantum classical statistical field theory (PCSFT). In this approach quantum systems are described by classical random fields, e.g., the electron field or the neutron field. Averages of quantum observables arise as approximations of averages of classical variables (functionals of “prequantum fields”) with respect to fluctuations of fields. For classical variables given by quadratic functionals of fields, quantum and prequantum averages simply coincide. In this paper we (...) generalize PCSFT to the composite quantum system. The main discovery is that, opposite to a rather common opinion, a composite system can be described by the Cartesian product of state spaces (like in classical physics) and not by the tensor product of them (like in conventional QM). A natural interpretation of the quantum pure state for a composite system is proposed: it is the nondiagonal block in the covariance matrix of the random field describing a composite system. The interpretation of a pure state due to Dirac and von Neumann seems to be an artifact of the conventional mathematical description of micro-systems. PCSFT provides a new possibility for interpretation of entanglement. (shrink)

This paper analyses the practice of model-building “beyond the Standard Model” in contemporary high-energy physics and argues that its epistemic function can be grasped by regarding models as mediating between the phenomenology of the Standard Model and a number of “theoretical cores” of hybrid character, in which mathematical structures are combined with verbal narratives and analogies referring back to empirical results in other fields . Borrowing a metaphor from a physics research paper, model-building is likened to the search for (...) a Rosetta stone, whose significance does not lie in its immediate content, but rather in the chance it offers to glimpse at and manipulate the components of hybrid theoretical constructs. I shall argue that the rise of hybrid theoretical constructs was prompted by the increasing use of nonrigorous mathematical heuristics in high-energy physics. Support for my theses will be offered in form of a historical–philosophical analysis of the emergence and development of the theoretical core centring on the notion that the Higgs boson is a composite particle. I will follow the heterogeneous elements which would eventually come to form this core from their individual emergence in the 1960s and 1970s, through their collective life as a theoretical core from 1979 until the present day. (shrink)

It is claimed hereby that, against a current view of logic as a theory of consequence, opposition is a basic logical concept that can be used to define consequence itself. This requires some substantial changes in the underlying framework, including: a non-Fregean semantics of questions and answers, instead of the usual truth-conditional semantics; an extension of opposition as a relation between any structured objects; a definition of oppositions in terms of basic negation. Objections to this claim will be reviewed.

How do reasons combine? How is it that several reasons taken together can have a combined weight which exceeds the weight of any one alone? I propose an answer in mereological terms: reasons combine by composing a further, complex reason of which they are parts. Their combined weight is the weight of their combination. I develop a mereological framework, and use this to investigate some structural views about reasons, the main two being "Atomism" and "Holism". Atomism is the view that (...) atomic reasons are fundamental: all reasons reduce to atomic reasons. Holism is the view that whole reasons are fundamental. I argue for Holism, and against Atomism. I also consider whether reasons might be "context-sensitive". (shrink)

2015 개정 교육과정 총론을 바탕으로 하여 초등 도덕과 교육과정은 ‘핵심 가치’, ‘일반화된 지식’, ‘기능’을 설정하였다. 교육과정 총론의 추진 내용을 교과 교육과정에 반영하는 것은 당연하나 교과마다 서로 다른 목적과 특성을 가지고 있음에도 불구하고 특수한 논리를 모든 교과에 다 적용하려는 것은 아무리 좋은 논리일지라도 오류를 범하여 교과교육을 왜곡시키는 일이 발생할 수 있다는 점을 경계해야한다. ‘핵심 가치’, ‘일반화된 지식’, ‘기능’의 설정은 새로운 시도인 만큼 현장교사들에겐 생소한 내용이기에 이에 대한 오해를 불러일으킬 수 있는 여지가 있으며, 교과교육 관련 학계에서 다양한 논란이 있을 것으로 예상된다. 본 (...) 연구는 2015 초등 도덕과 교육과정 내용 체계의 구성 방식과 그 특징을 살펴보고, 이전 교육과정에서 볼 수 없었던 ‘핵심 가치’, ‘일반화된 지식’, ‘기능’의 타당성과 문제점에 대해 검토하였다. 연구 결과 2015 개정 초등 도덕과 교육과정은 한 교과의 교육과정 문서로써 초등 도덕과 교육과정의 기준을 제시해주고 안내서로써의 오해와 혼란이 없도록 체계적이고 타당성 있는 내용을 담아내야함에도 불구하고 ‘핵심 가치’, ‘일반화된 지식’, ‘기능’을 설정하는 부분에서 논리적인 문제점을 나타냈다. (shrink)

The objects we encounter in ordinary life and scientific practice - cars, trees, people, houses, molecules, galaxies, and the like - have long been a fruitful source of perplexity for metaphysicians. The Structure of Objects gives an original analysis of those material objects to which we take ourselves to be committed in our ordinary, scientifically informed discourse. Koslicki focuses on material objects in particular, or, as metaphysicians like to call them "concrete particulars", i.e., objects which occupy a single region of (...) space-time at each time at which they exist and which have a certain range of properties that go along with space-occupancy, such as weight, shape, color, texture, and temperature. The Structure of Objects focuses in particular on the question of how the parts of such objects, assuming that they have parts, are related to the wholes which they compose. (shrink)

As a graduate student in Linguistics at UMass/Amherst in the 1980s, I was fortunate to be exposed to a number of new developments bearing on the relationship between formal semantics and pragmatics. In the 1970s under the influence of Cresswell, Lewis, Montague, and Partee, enormous progress in semantics was made possible by narrowing the focus of the field mainly to the consideration of the conventional, truth conditional content of an indicative utterance, calculated compositionally as a function of the semantic contributions (...) of its parts and its syntactic structure. Context was typically relegated to the background, in the form of indices of evaluation, though occasionally popping out for more serious consideration, as in the work of Kaplan, Karttunen, and Stalnaker. But eventually the nature of the rigorous formal enterprise itself, confronted with phenomena like Geach’s donkey sentences, presupposition projection, and the context-dependence of tense and aspect, forced the field into a more careful, thorough reconsideration of the relationship between context and content. Hence were born the dynamic theories of interpretation, beginning with Hans Kamp (1981) and Irene Heim (1982), who were both at UMass during my stay there, Heim completing her dissertation and Kamp on the faculty in Philosophy. Such frameworks posit a dynamic interchange between content and context, each dependent on the other, even in the course of interpreting a single utterance. Mats Rooth was also a graduate student at UMass at that time, and wrote his influential dissertation (1985) proposing an alternative semantics for the interpretation of prosodic focus, inter alia shedding light on how focus contributes to the contextual domain restriction of various operators. (shrink)

Scientific inquiry has led to immense explanatory and technological successes, partly as a result of the pervasiveness of scientific theories. Relativity theory, evolutionary theory, and plate tectonics were, and continue to be, wildly successful families of theories within physics, biology, and geology. Other powerful theory clusters inhabit comparatively recent disciplines such as cognitive science, climate science, molecular biology, microeconomics, and Geographic Information Science (GIS). Effective scientific theories magnify understanding, help supply legitimate explanations, and assist in formulating predictions. Moving from their (...) knowledge-producing representational functions to their interventional roles (Hacking 1983), theories are integral to building technologies used within consumer, industrial, and scientific milieus. -/- This entry explores the structure of scientific theories from the perspective of the Syntactic, Semantic, and Pragmatic Views. Each of these views answers questions such as the following in unique ways. What is the best characterization of the composition and function of scientific theory? How is theory linked with world? Which philosophical tools can and should be employed in describing and reconstructing scientific theory? Is an understanding of practice and application necessary for a comprehension of the core structure of a scientific theory? How are these three views ultimately related? (shrink)

Jerry Fodor (Concepts: Where cognitive science went wrong. New York: Oxford University Press, 1998) famously argued that lexical concepts are unstructured. After examining the advantages and disadvantages of both the classical approach to concepts and Fodor's conceptual atomism, I argue that some lexical concepts are, in fact, structured. Roughly stated, I argue that structured lexical concepts bear a necessary biconditional entailment relation to their structural constituents. I develop this account of the structure of lexical concepts within the framework of Pavel (...) Tichy's (The foundations of Frege's logic. Berlin, New York: De Gruyter, 1988) theory of constructions. I argue that concepts are constructions which can be combined by way of Tichy's construction-forming operations of composition and closure and an additional operation, simplification, which I propose in section 6. The last of these construction-forming operations plays a central role in my account of lexical concept structure. Stated generally, structured lexical concepts are a result of simplifying their structural constituents. (shrink)

The phenomenon of inverse linking, where a noun phrase embedded within another behaves with respect to binding as though it were structurally independent, has proven challenging for theories of the syntax–semantics interface. In this paper I show that, using an LF-movement style approach to the syntax–semantics interface, we can derive all and only the appropriate meanings for such constructions using no semantic operations other than function application and composition. The solution relies neither on a proliferation of lexical ambiguity nor on (...) abandoning the idea that pronouns denote variables, but rather on a straightforward (and standard) reification of assignment functions, which allows us to define abstraction operators within our models. (shrink)

This article aims to throw light on a recurrent structural feature of Heraclitus' style that, it will be argued, serves as a tool to enrich interpretation of his fragments. Named after the bow image used by the philosopher in B51, the ‘bow composition’ will be presented as a narrative technique developed by Heraclitus to reveal his conception of the world. In B51 we read: οὐ ξυνιᾶσιν ὅκως διαϕερόμενον ἑωυτῶι ὁμολογέει· παλίντροπος ἁρμονίη ὅκωσπερ τόξου καὶ λύρης (‘They don't understand how what (...) is in variance agrees with itself, a reciprocal stretching harmony as in the bow and the lyre’). Following an assumption that will be defended later, I argue that Heraclitus attempts through his text to demonstrate how ‘what is in variance agrees with itself’. One of his strategies to this end would be the bow composition, a way to structure his statements in which its first and last terms share the same root but have subtle suffix or prefix differences in order to depict that while being related (ὁμολογέει) they still maintain some difference (διαϕερόμενον). By means of employing such structure to describe reality Heraclitus would imitate the world order in his word order by providing his audience with an analogy that once perceived in the text would teach them how to correctly interpret nature itself. (shrink)

Friends of states of affairs and structural universals appeal to a relation, structure-making, that is allegedly a kind of composition relation: structure-making ?builds? facts out of particulars and universals, and ?builds? structural universals out of unstructured universals. D. M. Armstrong, an eminent champion of structures, endorses two interesting theses concerning composition. First, that structure-making is a composition relation. Second, that it is not the only (fundamental) composition relation: Armstrong also believes in a mode of composition that he calls mereological, (...) and which he takes to be the only kind of composition recognized by his philosophical adversaries, such as David Lewis. Armstrong, accordingly, is a kind of pluralist about compositional relations: there is more than one way to make wholes from parts. In this paper, I critically evaluate Armstrong's compositional pluralism. (shrink)

Each sentence derives its meaning from what its component words mean and from its syntactic structure. And the thesis of this chapter is that this is so because the meaning‐property of a sentence is nothing over and above the property of being constructed in a certain way from primitives with certain meanings. In this explanation of how sentence meanings are ’composed’, absolutely nothing is presupposed about the source of word meaning. Thus the possibility of compositionality imposes no constraint on how (...) the meanings of words are engendered. In particular, we see that compositionality gives us no reason to accept Davidson's explication of meaning in terms of truth conditions. (shrink)

van der Velde's &de Kamps's neural blackboard architecture is similar to “activation trace diagrams” (Clancey 1999), which represent how categories are temporally related as neural activations in parallel-hierarchical compositions. Examination of other comprehension examples suggests that a given syntactic categorization (structure assembly) can be incorporated in different ways within an open composition by different kinds of anchoring relations (delay assemblies). Anchors are categorizations, too, so they cannot be reused until their containing construction is completed (bindings are resolved).