Metaphysical graphical structuralism is the view that at some fundamental level the world is a mathematical graph of nodes and edges. Randall Dipert has advanced a graphical structuralist theory of fundamental particulars and Alexander Bird has advanced a graphical structuralist theory of fundamental properties. David Oderberg has posed a powerful challenge to graphical structuralism: that it entails the absurd inexistence of the world or the absurd cessation of all change. In this paper I (...) defend graphical structuralism. A sharper formulation, some theorems about such structures, and careful attention to the interaction of metaphysical and mathematical features, shows that the absurdities depend on assumptions that are not essential to the view and brings to light a surprising fact about the necessary structure of fundamental properties. (shrink)

A new vectorial representation for the successive Lorentz transformations has recently been proved very convenient to achieve a straightforward treatment of the Thomas rotation effect. Such a representation rests on equivalent forms for the pure Lorentz transformation and SLT whose physical meaning escaped us. The present paper fills this gap in by showing that those equivalent forms could represent appropriate world lines, lines and planes of simultaneity. Those geometric elements are particularly convenient to build up two new graphical representations (...) for the SLT: the first rests on that equivalent form for the SLT, while the second takes the SLT as a PLT preceded or followed by a Thomas rotation and uses the equivalent form for the PLT. As an application, the SLT Lorentz contraction formulas are derived for the first time. The dependence of the SLTLC on the Thomas rotation is put in evidence. The SLTLC along directions transverse and parallel to the composite velocity is studied. Original SLT Minkowski diagrams are given for the first time. (shrink)

While quantum theory cannot be described by a local hidden variable model, it is nevertheless possible to construct such models that exhibit features commonly associated with quantum mechanics. These models are also used to explore the question of \-ontic versus \-epistemic theories for quantum mechanics. Spekkens’ toy theory is one such model. It arises from classical probabilistic mechanics via a limit on the knowledge an observer may have about the state of a system. The toy theory for the simplest possible (...) underlying system closely resembles stabilizer quantum mechanics, a fragment of quantum theory which is efficiently classically simulable but also non-local. Further analysis of the similarities and differences between those two theories can thus yield new insights into what distinguishes quantum theory from classical theories, and \-ontic from \-epistemic theories. In this paper, we develop a graphical language for Spekkens’ toy theory. Graphical languages offer intuitive and rigorous formalisms for the analysis of quantum mechanics and similar theories. To compare quantum mechanics and a toy model, it is useful to have similar formalisms for both. We show that our language fully describes Spekkens’ toy theory and in particular, that it is complete: meaning any equality that can be derived using other formalisms can also be derived entirely graphically. Our language is inspired by a similar graphical language for quantum mechanics called the ZX-calculus. Thus Spekkens’ toy bit theory and stabilizer quantum mechanics can be analysed and compared using analogous graphical formalisms. (shrink)

Robustness has long been recognized as an important parameter for evaluating game-theoretic results, but talk of ‘robustness’ generally remains vague. What we offer here is a graphic measure for a particular kind of robustness (‘matrix robustness’), using a three-dimensional display of the universe of 2 × 2 game theory. In such a measure specific games appear as specific volumes (Prisoner’s Dilemma, Stag Hunt, etc.), allowing a graphic image of the extent of particular game-theoretic effects in terms of those games. The (...) measure also allows for an easy comparison between different effects in terms of matrix robustness. Here we use the measure to compare the robustness of Tit for Tat’s well-known success in spatialized games (Axelrod, R. (1984). The evolution of cooperation . New York: Basic Books; Grim, P. et al. (1998). The philosophical computer: Exploratory essays in philosophical computer modeling . Cambridge, Mass: MIT Press) with the robustness of a recent game-theoretic model of the contact hypothesis regarding prejudice reduction (Grim et al. 2005. Public Affairs Quarterly, 19 , 95–125). (shrink)

This paper explores varieties of scientific structuralism. Central to our investigation is the notion of `shared structure'. We begin with a description of mathematical structuralism and use this to point out analogies and disanalogies with scientific structuralism. Our particular focus is the semantic structuralist's attempt to use the notion of shared structure to account for the theory-world connection, this use being crucially important to both the contemporary structural empiricist and realist. We show why minimal scientific structuralism (...) is, at the very least, a powerful methodological standpoint. Our investigation also makes explicit what more must be added to this minimal structuralist position in order to address the theory-world connection, namely, an account of representation. (shrink)

This paper presents a critical interpretive synthesis of research on the efficacy of comics in educating consumers on communicable diseases. Using this review methodology, the authors drew from empirical as well as non-empirical literature to develop a theoretical framework exploring the implications of comics’ combination of images and text to communicate this health promoting information. The authors examined selected works’ alignment with the four motivational components of Keller’s ARCS Model to evaluate research within the context of learner motivation. Findings of (...) this research indicate comics offer a useful method for providing consumer health education, particularly regarding topics that individuals may have difficulty in discussing openly. (shrink)

I consider the broad perspectives in biology known as ‘functionalism’ and ‘structuralism’, as well as a modern version of functionalism, ‘adaptationism’. I do not take a position on which of these perspectives is preferable; my concern is with the prior question, how should they be understood? Adapting van Fraassen’s argument for treating materialism as a stance, rather than a factual belief with propositional content, in the first part of the paper I offer an argument for construing functionalism and (...) class='Hi'>structuralism as stances also. The argument draws especially on Gould’s insights concerning functionalism and structuralism, in particular their apparent historical continuity from the pre-Darwinian period through to today. In the second part of the paper I consider Godfrey-Smith’s distinction between empirical and explanatory adaptationism, and suggest that while the former is an empirical scientific hypothesis, the latter is closely related to the functionalist stance. (shrink)

Systematics based solely on structuralist principles is non-science because it is derived from first principles that are inconsistent in dealing with both synchronic and diachronic aspects of evolution, and its evolutionary models involve hidden causes, and unnameable and unobservable entities. Structuralist phylogenetics emulates axiomatic mathematics through emphasis on deduction, and “hypotheses” and “mapped trait changes” that are actually lemmas and theorems. Sister-group-only evolutionary trees have no caulistic element of scientific realism. This results in a degenerate systematics based on patterns of (...) fact or evidence being treated as so fundamental that all other data may be mapped to the cladogram, resulting in an apparently well-supported classification that is devoid of evolutionary theory. Structuralism in systematics is based on a non-ultrametric analysis of sister-group informative data that cannot detect or model a named taxon giving rise to a named taxon, resulting in classifications that do not reflect macroevolutionary changes unless they are sister lineages. Conservation efforts are negatively affected through epistemological extinction of scientific names. Evolutionary systematics is a viable alternative, involving both deduction and induction, hypothesis and theory, developing trees with both synchronic and diachronic dimensions often inferring nameable ancestral taxa, and resulting in classifications that advance evolutionary theory and explanations for particular groups. (shrink)

Causal reasoning is primarily concerned with what would happen to a system under external interventions. In particular, we are often interested in predicting the probability distribution of some random variables that would result if some other variables were forced to take certain values. One prominent approach to tackling this problem is based on causal Bayesian networks, using directed acyclic graphs as causal diagrams to relate post-intervention probabilities to pre-intervention probabilities that are estimable from observational data. However, such causal diagrams are (...) seldom fully testable given observational data. In consequence, many causal discovery algorithms based on data-mining can only output an equivalence class of causal diagrams. This paper is concerned with causal reasoning given an equivalence class of causal diagrams, represented by a ancestral graph. We present two main results. The first result extends Pearl 's celebrated do-calculus to the context of ancestral graphs. In the second result, we focus on a key component of Pearl's calculus---the property of invariance under interventions, and give stronger graphical conditions for this property than those implied by the first result. The second result also improves the earlier, similar results due to Spirtes et al. (shrink)

Ontic structuralism or ontic structural realism in the philosophy of physics can be broadly considered as an interpretative strategy providing a set of conceptual and metaphysical tools—or, more ambitiously, an ontological framework—in order to account for central features of current fundamental physics. This article aims to review the main structuralist interpretative moves in the context of our two best fundamental physical theories of matter and spacetime, namely, quantum theory and general relativity. We highlight in particular the structuralist understanding of (...) permutation invariance, entanglement and nonlocality in quantum theory, and of the dynamical features of spacetime, diffeomorphism invariance and background independence in general relativity. (shrink)

In this paper I argue for the view that structuralism offers the best perspective for an acceptable account of the applicability of mathematics in the empirical sciences. Structuralism, as I understand it, is the view that mathematics is not the science of a particular type of objects, but of structural properties of arbitrary domains of entities, regardless of whether they are actually existing, merely presupposed or only intentionally intended.

In this paper I argue for the view that structuralism offers the best perspective for an acceptable account of the applicability of mathematics in the empirical sciences. Structuralism, as I understand it, is the view that mathematics is not the science of a particular type of objects, but of structural properties of arbitrary domains of entities, regardless of whether they are actually existing, merely presupposed or only intentionally intended.

Ante rem structuralism is the doctnne that mathematics descubes a realm of abstract (structural) universab. According to its proponents, appeal to the exutence of these universab provides a source distinctive insight into the epistemology of mathematics, in particular insight into the so-called 'access problem' of explaining how mathematicians can reliably access truths about an abstract realm to which they cannot travel andfiom which they recave no signab. Stewart Shapiro offers the most developed version of this view to date. Through (...) an examination of Shapiro's proposed structuralist epistemology for mathematics I argue that ante rem structuralism faib to provide the ingredients for a satisfactory resolution of the access problem for infinite structures (whether small or large). (shrink)

Taking as starting point Kuhn’s analysis of science textbooks and its application to Sinnott and Dunn’s (1925), it will be discussed the problem of the existence of laws in biology. In particular, it will be showed, in accordance with the proposals of Darden (1991) and Schaffner (1980, 1986, 1993), the relevance of the exemplars, diagrammatically or graphically represented, in the way in which is carried out the teaching and learning process of classical genetics, inasmuch as the information contained in them, (...) indispensable for the right development of that process, exceeds the information contained in the “laws” linguistically articulated and presented in the textbooks. However, it will be maintained that the information is implicit in the law that according to the structuralist concept of fundamental law and the reconstruction of genetics presented by Balzer & Dawe (1990), and later developed by Balzer & Lorenzano (1997) and Lorenzano (1995, 2000, 2002a) could be considered the fundamental law of classical genetics,the law of matching, clearly identified in this paper. (shrink)

This paper defends a conceptualistic version of structuralism as the most convincing way of elaborating a philosophical understanding of structuralism in line with the classical tradition. The argument begins with a revision of the tradition of “conceptual mathematics”, incarnated in key figures of the period 1850 to 1940 like Riemann, Dedekind, Hilbert or Noether, showing how it led to a structuralist methodology. Then the tension between the ‘presuppositionless’ approach of those authors, and the platonism of some recent versions (...) of philosophical structuralism, is presented. In order to resolve this tension, we argue for the idea of ‘logical objects’ as a form of minimalist realism, again in the tradition of classical authors including Peirce and Cassirer, and we introduce the basic tenets of conceptual structuralism. The remainder of the paper is devoted to an open discussion of the assumptions behind conceptual structuralism, and—most importantly—an argument to show how the objectivity of mathematics can be explained from the adopted standpoint. This includes the idea that advanced mathematics builds on hypothetical assumptions (Riemann, Peirce, and others), which is presented and discussed in some detail. Finally, the ensuing notion of objectivity is interpreted as a form of particularly robust intersubjectivity, and it is distinguished from fictional or social ontology. (shrink)

According to one of the most powerful paradigms explaining the meaning of the concept of natural number, natural numbers get a large part of their conceptual content from core cognitive abilities. Carey’s bootstrapping provides a model of the role of core cognition in the creation of mature mathematical concepts. In this paper, I conduct conceptual analyses of various theories within this paradigm, concluding that the theories based on the ability to subitize (i.e., to assess anexactquantity of the elements in a (...) collection without counting them), or on the ability to approximate quantities (i.e., to assess anapproximatequantity of the elements in a collection without counting them), or both, fail to provide a conceptual basis for bootstrapping the concept of an exact natural number. In particular, I argue that none of the existing theories explains one of the key characteristics of the natural number structure: the equidistances between successive elements of the natural numbers progression. I suggest that this regularity could be based on another innate cognitive ability, namely sensitivity to the regularity of rhythm. In the final section, I propose a new position within the core cognition paradigm, inspired by structuralist positions in philosophy of mathematics. (shrink)

Exploratory analyses are an important first step in psychological research, particularly in problem-based research where various variables are often included from multiple theoretical perspectives not studied together in combination before. Notably, exploratory analyses aim to give first insights into how items and variables included in a study relate to each other. Typically, exploratory analyses involve computing bivariate correlations between items and variables and presenting them in a table. While this is suitable for relatively small data sets, such tables can easily (...) become overwhelming when datasets contain a broad set of variables from multiple theories. We propose the Gaussian graphical model as a novel exploratory analyses tool and present a systematic roadmap to apply this model to explore relationships between items and variables in environmental psychology research. We demonstrate the use and value of the Gaussian graphical model to study relationships between a broad set of items and variables that are expected to explain the effectiveness of community energy initiatives in promoting sustainable energy behaviors. (shrink)

Abstract:“Feminist Graphic Art” reviews recent feminist scholarly work on comics alongside several new feminist comics titles themselves, suggesting through a focus on theory and practice that the medium of comics is an expanding realm of possibility for feminist expression, particularly around issues of subjectivity, embodiment, and collectivity.

Talk of ‘robustness’ remains vague, despite the fact that it is clearly an important parameter in evaluating models in general and game-theoretic results in particular. Here we want to make it a bit less vague by offering a graphic measure for a particular kind of robustness— ‘matrix robustness’— using a three dimensional display of the universe of 2 x 2 game theory. In a display of this form, familiar games such as the Prisoner’s Dilemma, Stag Hunt, Chicken and Deadlock appear (...) as volumes, making comparison easy regarding the extent of different game-theoretic effects. We illustrate such a comparison in robustness between the triumph of Tit for Tat in a spatialized environment (Grim 1995, Grim, Mar, and St. Denis 1998) and a spatialized modeling of the Contact Hypothesis regarding prejudice reduction (Grim, et. al 2005a, 2005b). The geometrical representation of relative robustness also offers a possibility for links between geometrical theorems and results regarding robustness in game theory. (shrink)

In recent decades, the internet has become our predominant public space and yet the role of art in this space remains largely unthought. This paper argues that graphic art, and in particular digital graphic art, has great power to shape and transform our thinking and experience. But with that power comes an enormous political and ethical responsibility, a responsibility too often ignored by programmers and computer scientists. This paper uses the work of Denis Schmidt and Jacques Taminiaux as important resources (...) for developing a Heideggerian response to this lack. (shrink)

Taking as starting point Kuhn’s analysis of science textbooks and its application to Sinnott and Dunn’s (1925), it will be discussed the problem of the existence of laws in biology. In particular, it will be showed, in accordance with the proposals of Darden (1991) and Schaffner (1980, 1986, 1993), the relevance of the exemplars, diagrammatically or graphically represented, in the way in which is carried out the teaching and learning process of classical genetics, inasmuch as the information contained in them, (...) indispensable for the right development of that process, exceeds the information contained in the “laws” linguistically articulated and presented in the textbooks. However, it will be maintained that the information is implicit in the law that according to the structuralist concept of fundamental law and the reconstruction of genetics presented by Balzer & Dawe (1990), and later developed by Balzer & Lorenzano (1997) and Lorenzano (1995, 2000, 2002a) could be considered the fundamental law of classical genetics,the law of matching, clearly identified in this paper. (shrink)

In his latest book, Descola analyzes more than 150 graphic works from all over the world, among which are animal statuettes of the Koryaks, a people of the Kamchatka region of Russia. Those figurines always represent animals lying in wait, ready to jump or already running. Such representations, the anthropologist argues, incline us to pay attention to what motivates and what troubles the animals: “All those animals that we see undertaking an action manifestly intentional or properly responding to unexpected events (...) cannot but impose on the observers of their image the idea that they are moved by aims, that they have an interiority just like humans.” This type of animal figuration is especially common in peoples that in Descola's previous book, Beyond Nature and Culture, he referred to as “animist.”In that book, published in 2005, he described the animist ontology and three other modes of paying attention to continuities and differences between humans and animals: naturalism, analogism, and totemism. At the time, he focused exclusively on the description of those ontologies, as opposed to any study of their evolution. He begins his study of the genesis of ontologies in Les formes du visible by suggesting that each type of graphic work induces a different way of paying attention to psychological and physical continuities and differences. For instance, in contrast to a Koryak statuette, an anatomical plate (to use a simple example not covered in the book) depicts only the body of a dead and dissected specimen. By referring simultaneously to an anatomical description of the human body and to that of another mammal, we tend to see how similar our bodies are. Whereas the animist ontology emphasizes the psychological continuity of humans and animals, the naturalist ontology insists instead on their physical continuity. By producing and using repeatedly some kinds of graphic works, each society comes to favor one or another ontology, one or another way of paying attention to the world. (Descola never says so in these words, but what he seems to mean by ontologies are modes of attention).Descola's questions in this new book are engaging: What do images make us pay attention to? What modes of attention do images stimulate? Each case study selected by the author is, moreover, fascinating in itself: an Amerindian mask, an Aboriginal painting on a piece of bark, a sixteenth-century Mongolian drawing of an elephant. The answers offered for the questions asked are unfortunately always already canvassed by the theory of the four ontologies. In previous work, Descola built that theory based on discursive and ethnographic material; sometimes we are left with the impression that images (as opposed to spoken words) do not make any significant difference, since they did not motivate him to modify in any way his theory in his new book.In addition, Descola's framework brings him to focus only on a particular aspect of what images induce in our modes of attention: in his thinking, ontologies are defined solely by the way we notice (or do not notice) differences and continuities between beings on two levels, physical and psychological, which respectively he terms the exteriority and the interiority of beings. By combining these two pairs of opposing features (continuity/difference, interiority/exteriority), he constitutes his four ontologies. But depictions can produce more fine-grained ontologies by making us pay attention to, say, the separation or the blending of bodies, the stability or fluidity of souls, the equality or inequality of power between beings. Moment by moment, while reading Descola, we find ourselves tied to his four ontologies and indeed find it almost impossible to imagine ontologies other than the four he has set out. In a structuralist vein, he even presents that number as a necessary, logical, and cognitive limit to the construction of ontologies. Nevertheless, by opening the analysis of the modes of attention to more than just the double pair of features picked out by the anthropologist, we could well unearth more diversified ontologies, induced by images (and by other cultural and technical particulars). We could detect, in other words, more than four modes of paying attention to our environment and to our companion beings. (shrink)

The following paper examines the cyberpunk transhumanist graphic novel Transmetropolitan through the theoretical lens of disability studies to demonstrate how science fiction, and in particular this series, illustrate and can influence how we think about disability, impairment and difference. While Transmetropolitan is most often read as a scathing political and social satire about abuse of power and the danger of political apathy, the comic series also provides readers with representations of impairment and the source of disability as understood by the (...) Social Model of Disability (SMD). Focusing on the setting and fictional world in which Transmetropolitan takes place, as well as key events and illustration styling, this paper demonstrates that the narrative in this work encompasses many of the same theoretical underpinnings and criticisms of society’s ignorance of the cause of disability as the SMD does. This paper aims, by demonstrating how Transmetropolitan can be read as an allegory for the disabling potential of society as experienced by individuals with impairments, to prompt readers into thinking more creatively about how narratives, seemingly unconcerned with disability, are informed and can be understood via disability theory. (shrink)

I explore the relation between structuralism and other theses that I have presented in the rest of the book, in particular, my holism, realism about mathematical objects, and the disquotational account of truth. In developing my theory, I have claimed that there is no fact of the matter as to whether the patterns that the various mathematical theories describe are themselves mathematical objects, so I first try to explain what the locution ‘there is no fact of the matter’ means. (...) Next, I discuss the relativity of key structuralist concepts like sub‐pattern and pattern equivalence, and then explore the possibility of formulating structuralist versions of mathematical theories. Even if my holism precludes me from drawing a sharp distinction between philosophy and science I do not regard my structuralism as a mathematical theory but rather as a philosophical account of mathematics that tries to achieve a deeper understanding of the epistemology and ontology of mathematics. My structuralism is epistemic rather than ontic because it is not an ontological reduction or a foundation for mathematics but a philosophical view about the nature of its objects. So when it is combined with realism concerning mathematical objects, it need not commit one to the existence of structures. (shrink)

Spherical geometry studies the sphere not simply as a solid object in itself, but chiefly as the spatial context of the elements which interact on it in a complex three-dimensional arrangement. This compels to establish graphical conventions appropriate for rendering on the same plane—the plane of the diagram itself—the spatial arrangement of the objects under consideration. We will investigate such “graphical choices” made in the Theodosius’ Spherics from antiquity to the Renaissance. Rather than undertaking a minute analysis of (...) every particular element or single variant, we will try to uncover the more general message each author attempted to convey through his particular graphical choices. From this analysis, it emerges that the different kinds of representation are not the result of merely formal requirements but mirror substantial geometrical requirements expressing different ways of interpreting the sphere and testify to different ways of reasoning about the elements that interact on it. (shrink)

This article is concerned with the status and stakes of Gilles Deleuze’s “break” with structuralism. With a particular focus on a transitional text of Deleuze, the 1967/1972 article “How Do We Recognize Structuralism?,” it asks how Deleuze understood structuralism and why, after his encounter with Félix Guattari and Guattari’s own transitional text, 1969’s “Machine and Structure,” Deleuze felt the need to break with structuralism. It argues that reading these two texts together allows us to see that (...) Deleuze already perceived tensions within the structuralist project, and argues that Guattari’s non-structural account of the machine allowed Deleuze to clarify this perception, and see it as necessitating a departure from structuralism. To close, however, it turns to recent work by philosophers such as Étienne Balibar and Patrice Maniglier that re-examines the structuralist moment and identifies an ongoing legacy that the “poststructuralism” of Deleuze and Guattari may be part of. By considering Deleuze and Guattari’s break with structuralism in light of this work, this article considers how the polemical rejection of structuralism by Deleuze and Guattari may not fully account for the ongoing legacy of the structuralist program and the persistence of a structuralist problematic in their thought. (shrink)

ABSTRACTMetaphysics has a problem with plurality: in many areas of discourse, there are too many good theories, rather than just one. This embarrassment of riches is a particular problem for metaphysical realists who want metaphysics to tell us the way the world is and for whom one theory is the correct one. A recent suggestion is that we can treat the different theories as being functionally or explanatorily equivalent to each other, even though they differ in content. The aim of (...) this paper is to explore whether the notion of functionally equivalent theories can be extended and utilized in the defence of metaphysical realism, drawing upon themes from structuralism in the philosophies of mathematics and science in which the specifics of theories do not matter as long as the relations in which they stand to other theories are maintained. I argue that despite its initial attractiveness, there are significant difficulties with this proposal. Discovering these obstacles thwarts the realist structuralist project, but reveals interesting features of metaphysical systems. (shrink)

Michael Kelly is the author of 68 entries altogether. The New Oxford Companion to Literature in French is far more than a simple revision of the original Oxford Companion to French Literature, published in 1959, and described by The Listener as the `standard work of reference for English-speaking enquirers into French literature'. As the change in title implies, this completely new work presents an authoritative guide not only to ten centuries of literature produced in the territory now called France, but (...) also to the rich literary output of other French-speaking countries around the world. The scope of the Companion is deliberately open and inclusive, challenging and extending the traditional canon. Literature is understood in a broad sense, ranging from strip cartoon and pamphlet to tragedy and epic, and particular attention is devoted to francophone writing from outside France. Written by an international team of specialists, entries cover individual authors and works - over 3,000 of them - from the troubadours to Césaire, and from La Princesse de Clèves to La Vie mode d'emploi. Each is discussed in detail within their historical, cultural, and intellectual context. Among the new features of the Companion are the substantial essay-entries, reflecting up-to-date scholarship and theoretical debates on topics such as: - literary movements and genres - historical subjects such as chivalry, or Occupation and Resistance in wartime France - movements of thought from Scholasticism to feminism - linguistic topics - the sciences - the arts and media, including opera, cinema, and press. (shrink)

Dedekind’s structuralism is a crucial source for the structuralism of mathematical practice—with its focus on abstract concepts like groups and fields. It plays an equally central role for the structuralism of philosophical analysis—with its focus on particular mathematical objects like natural and real numbers. Tensions between these structuralisms are palpable in Dedekind’s work, but are resolved in his essay Was sind und was sollen die Zahlen? In a radical shift, Dedekind extends his mathematical approach to “the” natural (...) numbers. He creates the abstract concept of a simply infinite system, proves the existence of a “model”, insists on the stepwise derivation of theorems, and defines structure-preserving mappings between different systems that fall under the abstract concept. Crucial parts of these considerations were added, however, only to the penultimate manuscript, for example, the very concept of a simply infinite system. The methodological consequences of this radical shift are elucidated by an analysis of Dedekind’s metamathematics. Our analysis provides a deeper understanding of the essay and, in addition, illuminates its impact on the evolution of the axiomatic method and of “semantics” before Tarski. This understanding allows us to make connections to contemporary issues in the philosophy of mathematics and science. (shrink)

Economists have long grappled with the problem of how economic theories relate to empirical evidence: how can abstract mathematized theories be used to produce empirical claims? How are such theories applied to economic phenomena? What does it mean to "test" economic theories? This book introduces, explains, and develops a structural philosophy of economics which addresses these questions and provides a unifying philosophical/logical basis for a general methodology of economics. The book begins by introducing a rigorous view of the logical foundations (...) and structure of scientific theories based upon the work of Alfred Tarski, Patrick Suppes, Karl Marx, and others. Using and combining their methods, the book then goes on to reconstruct important economic theories - including utility theory, game theory, Marxian economics, Sraffian economic theory, and econometrics - proving all the main theorems and discussing the key claims and the empirical applicability of each theory. Through these discussions, this book presents, in a systematic fashion, a general philosophy of economics grounded in the structural view. Offering rigorous formulations of important economic theories, A Structuralist Theory of Economics will be invaluable to all readers interested in the logic, philosophy, and methodology of economics. It will also appeal particularly to those interested in economic theory. (shrink)

Recent developments in literary theory, such as structuralism and deconstruction, have come under attack for neglecting history, while historically-based approaches have been criticized for failing to take account of the problems inherent in their methodological foundations. This collection of essays is unique in that it focuses on the relation between post-structuralism and historical (especially Marxist) literary theory and criticism. The volume includes a deconstructive reading of Marx, essays that relate history to the philosophical and institutional context, and a (...) number of studies of particular texts, literary and non-literary, which pose the question of history and literary theory with particular force. (shrink)

In the present paper the attempt is made for the first time to formalize the modern theory of elementary particles based on the structuralist approach. To this end, the description within the scope of the so-called standard model is considered. In the physics of elementary particles the term ‘standard model’ denotes the summary of theories which describe the various elementary building blocks of matter as well as their interactions between each other. This model represents one of the most successful theories (...) in physics, particularly because of the impressive experimental confirmation. Hence a structuralist reconstruction of it is a challenging task. (shrink)

This book has grown out of eight years of close collaboration among its authors. From the very beginning we decided that its content should come out as the result of a truly common effort. That is, we did not "distribute" parts of the text planned to each one of us. On the contrary, we made a point that each single paragraph be the product of a common reflection. Genuine team-work is not as usual in philosophy as it is in other (...) academic disciplines. We think, however, that this is more due to the idiosyncrasy of philosophers than to the nature of their subject. Close collaboration with positive results is as rewarding as anything can be, but it may also prove to be quite difficult to implement. In our case, part of the difficulties came from purely geographic separation. This caused unsuspected delays in coordinating the work. But more than this, as time passed, the accumulation of particular results and ideas outran our ability to fit them into an organic unity. Different styles of exposition, different ways of formalization, different levels of complexity were simultaneously present in a voluminous manuscript that had become completely unmanageable. In particular, a portion of the text had been conceived in the language of category theory and employed ideas of a rather abstract nature, while another part was expounded in the more conventional set-theoretic style, stressing intui tivity and concreteness. (shrink)

Some authors have claimed that ante rem structuralism has problems with structures that have indiscernible places. In response, I argue that there is no requirement that mathematical objects be individuated in a non-trivial way. Metaphysical principles and intuitions to the contrary do not stand up to ordinary mathematical practice, which presupposes an identity relation that, in a sense, cannot be defined. In complex analysis, the two square roots of –1 are indiscernible: anything true of one of them is true (...) of the other. I suggest that ‘i’ functions like a parameter in natural deduction systems. I gave an early version of this paper at a workshop on structuralism in mathematics and science, held in the Autumn of 2006, at Bristol University. Thanks to the organizers, particularly Hannes Leitgeb, James Ladyman, and Øystein Linnebo, to my commentator Richard Pettigrew, and to the audience there. The paper also benefited considerably from a preliminary session at the Arché Research Centre at the University of St Andrews. I am indebted to my colleagues Craige Roberts, for help with the linguistics literature, and Ben Caplan and Gabriel Uzquiano, for help with the metaphysics. Thanks also to Hannes Leitgeb and Jeffrey Ketland for reading an earlier version of the manuscript and making helpful suggestions. I also benefited from conversations with Richard Heck, John Mayberry, Kevin Scharp, and Jason Stanley. CiteULike Connotea Del.icio.us What's this? (shrink)

We seem to have strong intuitions that many visual representations -- such as descriptions, depictions and diagrams -- can be classified into different types. But how should we understand the differences between these representational types? On a standard view, the answer is assumed to lie in the presence or absence of a single property. I argue first that this assumption is undermotivated, and offer a particular two-property analysis, which can be used both to differentiate the various types and to understand (...) better what factors affect changes in classification. This in turn can also be used to capture a core idea of perspicuity, and to ground an argument for the general perspicuity of diagrams as a representational type. Finally, I suggest that two complementary and independently plausible theories bearing on the nature of diagrammatic representation can be located within the suggested two-property approach. (shrink)

This article explores the rise of comics-based research (CBR) as an innovative method for disseminating and translating academic findings to broader audiences. Rooted in the established use of comics in technical communication, CBR takes the unique strengths of graphic media—accessibility, multimodal engagement, and visual storytelling—to communicate complex concepts to diverse audiences, particularly in health-related disciplines. A recent development in this field is the comic research abstract, a concise, visually enriched alternative to traditional textual abstracts. By integrating clarity, brevity, and expressive (...) visuals, this format enhances research accessibility and promotes interdisciplinary collaboration. Drawing on an example from the author’s work on intergenerational storytelling, this article introduces the comic research abstract as a transformative interdisciplinary tool that bridges the arts, humanities, and health sciences. It highlights how this format translates research into advocacy-driven narratives, fostering inclusion, activism, and public engagement. By combining written and visual content, the comic research abstract underscores the potential of comics for advancing health humanities, arts-based academic communication, and inclusive scholarship. (shrink)

In this paper, I explore Bunge’s fictionism in philosophy of mathematics. After an overview of Bunge’s views, in particular his mathematical structuralism, I argue that the comparison between mathematical objects and fictions ultimately fails. I then sketch a different ontology for mathematics, based on Thomasson’s metaphysical work. I conclude that mathematics deserves its own ontology, and that, in the end, much work remains to be done to clarify the various forms of dependence that are involved in mathematical knowledge, in (...) particular its dependence on mental/brain states and material objects. (shrink)

This paper stages an argument in five premises:1. That the insight to which post-structuralist ethics responds—which is that there is an 'unmistakableparticularity of concrete persons or social groups'—leads theorists who base their moral theory upon itinto a problematic parallel to that charted by Kant in his analysis of the sublime.2. That Kant's analysis of the sublime divides its experience into what I call two 'moments', the secondof which involves a reflexive move which the post-structuralists are unwilling to sanction in theontological (...) and/or ethical realm, even if they are performatively committed to doing it.3. That, drawing on the parallel established in 1, it could be argued that the same reflexive move asKant describes in the second 'moment' of the sublime is also at the heart of our moral experience,wherein we are faced by the Otherness of concrete Others. This amounts to the argument that askingOthers to follow an impersonal or 'dumb' law which fails to do justice to their noumenal Otherness is atthe same time the only possible way to respect this Otherness.4. That what game theory shows us is that, at thelimits of our ability to calculatively predict the conduct of other subjects, the only 'rational' thing to dois precisely to presume the pre-existence of impersonal social norms regulating our own conduct andthat of others.5. That, accordingly, to borrow a formulation from Slavoj Zizek, respect for theOther is always respect for their ‘castration’—that is, respect for their capacity to follow norms that do not directly do justice to their concrete particularity but which, in this very 'dumbness', let this Otherness indirectly show itself.In the conclusion, I reflect on what this argument does, and upon its limits—that is, what it does not. (shrink)

The educational use of daily-life contexts is considered a valuable strategy to promote meaningful science learning, since it facilitates the establishment of connections between previous knowledge, personal interests, and new learning. The aim of this work is to provide evidence to support the presence of gardens at educational centers, by assessing key science topics whose learning is promoted at the pre-school, primary, secondary, and university stages. To this end, we analyzed the paired graphic representations of “a garden” that students drew (...) both before and after their participation in a garden-based learning program. Firstly, we obtained the frequency of appearance of every represented element, and afterward characterized the level of change between paired graphic representations. Sample size was of 24–19–25–29 pairs per stage, respectively. Across all stages, an overall improvement in students’ graphic expression was observed, which can be attributed to their experience in the space. At the pre-school stage, the garden favored the establishment of some simple cause-effect relationships which were consolidated at the primary stage, and provided a climate of motivation and affectivity that was evident in the final drawings, given the enormous quantity of details represented, the level of the finished product, and the careful combination and variety of colors. The presence of elements related to water notably increased in final graphic representations from pre-school, primary, and secondary education, thus evidencing that the use of gardens facilitates an approach to responsible water management. At the university stage, students initially demonstrated good knowledge of conventional agriculture, while the gardening experience -which was based on permaculture practices- helped evolve their ideas toward an alternative model of cultivation. The most prevalent science learning across all stages was related to plant knowledge, particularly to their anatomical traits and diversity. Finally, the role of educational gardens as models for students was evidenced, which suggests the importance of teachers and institutions carefully considering which model to offer. Overall, our results support the legitimacy of incorporating gardens to educational centers, particularly for promoting contact with live plants and plant knowledge, and potentially for promoting contact with garden fauna and activities oriented toward learning about it. (shrink)

After decades of neglect philosophers of physics have discovered gauge theories--arguably the paradigm of modern field physics--as a genuine topic for foundational and philosophical research. Incidentally, in the last couple of years interest from the philosophy of physics in structural realism--in the eyes of its proponents the best suited realist position towards modern physics--has also raised. This paper tries to connect both topics and aims to show that structural realism gains further credence from an ontological analysis of gauge theories--in particular (...) U(1) gauge theory. In the first part of the paper the framework of fiber bundle gauge theories is briefly presented and the interpretation of local gauge symmetry will be examined. In the second part, an ontological underdetermination of gauge theories is carved out by considering the various kinds of non-locality involved in such typical effects as the Aharonov-Bohm effect. The analysis shows that the peculiar form of non-separability figuring in gauge theories is a variant of spatiotemporal holism and can be distinguished from quantum theoretic holism. In the last part of the paper the arguments for a gauge theoretic support of structural realism are laid out and discussed. (shrink)

Within the critical humanities there has been a recent return to Marxist and communist thought, which has meant a reckoning with post-structuralism. Thinkers, such as José Muñoz and Jodi Dean, who have been critical of parts of the post-structural legacy, have also held onto certain aspects of that tradition, in particular non-coincidence as a stay against identity, administration, and/or determination. However, they have done so in ways that have left unquestioned a contemporary commonsense around teleology. In this essay I (...) argue this has led to an inability to think or maintain connections between the subject and representation – crucial categories for any materialism. Through a discussion of the work of Cuban poet José Lezama Lima, I cultivate a critical vocabulary for building and sustaining non-coincident relations between the subject and representation, ones which neither collapse these two planes nor render them abyssal. (shrink)

Although Eddington's philosophy of physics has been subjected to critical re-evaluation in recent years, neither the exact nature of his structuralist views nor his response to criticism by the likes of Braithwaite have been made clear. In this paper I trace, in particular, the incorporation into Eddington's structuralism of the non-classical indistinguishability of quantum objects. His metaphysical view of such objects as the product of group-theoretical analysis is crucial for understanding his response to Braithwaite's criticisms of the whole structuralist (...) endeavor. These criticisms closely resemble more recent attacks on structural realism in the philosophy of science. I conclude with a brief comparison between these more modern forms of structuralism and Eddington's. (shrink)

Insofar as the material residues of interest to archaeologists are cultural and, as such, have specifically symbolic significance, it is argued that archaeology must employ some form of structuralist analysis (i.e. as specifically concerned with this aspect of the material). Wylie examines the prevalent notion that such analysis is inevitably 'unscientific' because it deals with a dimension of material culture which is inaccessible of any direct, empirical investigation, and argues that this rests on an entrenched misconception of science; it assumes (...) that scientific enquiry must be restricted to observables. It is clear, as realist critics of this view have argued, that scientific (explanatory) understanding depends fundamentally on theoretical extensions beyond observables; extensions which bring into view underlying and inaccessible causal structures or mechanisms responsible for the mani- fest phenomena through a procedure of analogical model construc- tion. In consideration of realist models of these procedures and of the potential of linguistic modes of analysis for archaeology, it is pro- posed that archaeologists might (and, in fact, often do) effectively grasp the symbolic, structural order of surviving material culture through analysis governed by a rigorous and controlled use of ethno- graphic analogy. It is claimed, moreover, that the archaeological record can provide empirical bases for evaluating these theoretical constructs if a procedure of recursive and systematic testing is adopted in research, but the standard hypothetico-deductive model is seriously flawed as an account of an ideal for this procedure. Glassie's analysis of Middle Virginian folk housing is an example of research along these lines which illustrates the potential for a rigorous structuralist alternative. (shrink)

For many reasons, it is true that the Protestant Reformation unleashed the forces that lay behind the emergence of capitalism. Such a system was compatible with the emancipation of individuals, their mentalities, due to specific societal reforms and transformations. Therefore, it gave birth, in an unprecedented way, to a “new form of capitalism”. But the main idea I want to stress in this article is that the capitalist ethos was present before the Reformation, many centuries ago, in what is called (...) now the “Christian spirit”. In this direction, I emphasize many theories which disagree with the Weber’s well-known thesis about the relation between capitalism and religion, especially when it comes to generalize a particular result that is both theologically vague and empirically disprovable. (shrink)

Summary Landscape planning lacked an evidence-based method for the reflection of planning models on the imaginary level in order to present the image content and the relationships in the image as the basis for interpretation in a verifiable manner. The contribution is based on the thesis that the perceptual analysis according to Rudolf Arnheim can be translated into landscape planning. The case study, here an illustration with two plan sketches for urban and landscape development, is described and interpreted with the (...) Gestalt theoretical perceptual analysis according to the criteria theme, theses, principle sketches and composition lines, interpretation, conclusion and Gestalt theoretical results. The analysed planning sketches have a low “reality level” and are part of the imaginary level. The theory of science contained therein can be understood by Gestalt theory as elementary theory of design. In the sketches, the living spaces and economic areas of the city are divided into the elements ‘settlement’ and ‘landscape’ and thereby undergo a revaluation of their significance. The replacement of figure (city) and ground (landscape) can be interpreted in terms of gestalt theory as a change of theme in the sketches as the greatest possible structural exchange. The results of the analysis are processed as research theses in the contextualisation of landscape planning and thus examined scientifically on the basis of circumstantial evidence against the reality of the living environments of the urban dwellers. The contribution proves that the perceptual analysis according to R. Arnheim is a suitable method in landscape planning for describing and interpreting graphic representations of planning models. Interdisciplinary cooperation is a contribution to the holistic treatment of a topic, because structuralist landscape planning has structural similarities with Gestalt theory and is committed to the dialogical principle. As a theory of organisation (development), Gestalt theory derives principles, structures, their relationships and qualities and is therefore suitable as a meta-theory of landscape planning to characterise the values and ethical bases in planning. This applies to all areas of the field of consciousness in landscape planning. (shrink)

Grounding is bicollective if it is possible for some truths δ,δ,... to be grounded in the some truths γ,γ,... without its being the case that each δi is grounded in some subcollection of γ,γ,.... In this paper I show how to do develop a hypergraph-theoretic account of bicollective ground, taking the notion of immediate ground as basic. I also indicate how bicollective ground helps with formulating mathematical structuralism.

Developing a plausible theory of political obligation is crucial for understanding our current political lives or constructing new ones. However, it proved to be hard to arrive at a theory that is universalistic and logically consistent. Without adherence to certain universalistic principles, such as freedom and equality, one might be tempted to justify individuals’ allegiance to authoritarian regimes based on particularistic reasons. Also, one may argue that if a general theory of political obligation cannot be devised, we are justified to (...) resort to anarchism. Despite such high political stakes involved, a contention arose that universalistic approaches to political obligation are logically inconsistent because they run afoul of a particularity requirement. The latter is a demand that any plausible theory of individuals’ obligations toward a political entity should account for the reasons why they should obey the rules and orders of a specific authority. In this article, drawing on Ernesto Laclau and Chantal Mouffe’s post-structuralist theory, I demonstrate that the dichotomy of universalism vs. particularism need not have destructive effects for a successful theory of political obligation. Indeed, it is possible to accept a particularity requirement but at the same time, argue that political obligations have a universalistic thrust. (shrink)

Multimedia learning research addresses the question of how to design instructional material effectively. Signaling and adding graphics are typical instructional means that might support constructing a mental model, particularly when learning abstract content from multiple representations. Although signals can help to select relevant aspects of the learning content, additional graphics could help to visualize mentally the subject matter. Learners’ prior knowledge is an important factor for the effectiveness of both types of support: signals and added graphics. Therefore, we conducted an (...) experimental study situated in a university course of computer science with N = 124 participants. In our 2 × 2 factorial design, we investigated the effects of signals and illustrating graphics on learning outcomes and their potential interplay. Based on our regression analysis, we revealed prior knowledge as a significant moderator. Although learners with low levels of prior knowledge can profit from all types of help but still gain rather weak learning outcomes, learners with medium levels of prior knowledge profit from the synergy of both helps. With higher levels of prior knowledge, signals were particularly hampering. To improve the understanding of these supportive or hampering effects, a more fine-grained analysis of these processes and motivational effects is necessary. (shrink)

The development of medicine is based on reliable medical research. This is a process that must be planned in detail and performed in accordance with the accepted study protocol, as any negligence – even a small one – or deviation from the protocol may result in distorted research results and – in consequence – to false conclusions. One of the key stages of research is the selection of the appropriate methodology, particularly in terms of tests that verify the posed hypotheses. (...) Each statistical method has a set of assumptions that have to be met in order for the method to be used. This paper explains why the appropriate selection of methods, verification of the required assumptions, and correct graphical representation of the obtained results are so important from the practical perspective. (shrink)

This article elaborates on the relationship between structuralism (and to some extent post-structuralism), hermeneutics and pragmatism, starting from what I comprehend as the inherent dilemma articulated in the policy documents concerning the emerging knowledge economy: the tension between innovation and adaptation. In the first section, I delineate a horizon of understanding for my presentation by defining the particular societal transformations in the historical context where the question of creativity and innovation has become of strategic importance. Then, in the (...) second section, I suggest a diagnosis of the new and predominant flexible organization of knowledge within the context of the new creative economy. The third section is a short interlude, where the philosophical implications of these societal transformations are being disclosed, together with the challenges that influence the agenda for a discussion about a constructive philosophical contribution. In the last two sections, I introduce a particular kind of hermeneutical perspective into the discussion by a close reading of one of Paul Ricoeur’s major works from the mid 1970s, here distinctively interpreted as a profound investigation into the micro-mechanisms of the epistemology of creativity. Thus, by the configuration of a hermeneutics of creativity and innovation from these philosophical resources, my intention is to disclose the ontological implications of innovation as well as the anthropological prerequisites for a conception of creativity “with a human face.”. (shrink)