The spiral form of the Periodic Law is proposed as its fundamental graphic representation. This idea is based on the fact that the spiral is the most appropriate form in description transitions from simple to complicated. The spiral is easily obtained from the linear succession of the elements when they are ranged by growing nuclear charge. The spiral can be simply transformed into many other graphic representations, including tables. This paper suggests the conception of the autonomy of blocks. This autonomy (...) is clearly seen in the variation of the outer electronic shells, in the width and the height of the blocks, as well as the number and properties of elements included therein. The regularities in the changes of element properties are pronounced in certain blocks but actually absent in others. The blocks can be permuted to obtain full-fledged versions of Periodic Table. The new stage of the verification of the blocks autonomy is the use of the total number of the differentiating electrons as an independent variable in describing the properties of the elements and their compounds. Consideration of individual blocks made it possible to deduce the periodic equations valid for all the elements within each block. Formulation of the Periodic Law is advanced: while describing characteristic determining the properties of the elements, the nuclear charge is replaced by the total number of differentiating electrons. Two modifications of the conventional Periodic Table are obtained by minimal changes. The first one shows the secondary and the additional periodicites. Another table shows the total number of differentiating electrons for each element. (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)

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)

In this paper, we propose two four-base related 2D curves of DNA primary sequences and their corresponding single-base related 2D curves. The constructions of these graphical curves are based on the assignments of individual base to four different sinusoidal functions; then by connecting all these points on these four sinusoidal functions, we can get the F-B curves; similarly, by connecting the points on each of the four sinusoidal functions, we get the single-base related 2D curves. The proposed 2D curves (...) are all strictly non degenerate. Then, a 8-component characteristic vector is constructed to compare similarity among DNA sequences from different species based on a normalized geometrical centers of the proposed curves. As examples, we examine similarity among the coding sequences of the first exon of beta-globin gene from eleven species, similarity of cDNA sequences of beta-globin gene from eight species, and similarity of the whole mitochondrial genomes of 18 eutherian mammals. The experimental results well demonstrate the effectiveness of the proposed method. (shrink)

Interpretation, with illustrations, of Vedāntasāra of Sadānanda Yogīndra, a digest of the Advaita school in Hindu philosophy.

In the original publication of the article, the y axis labels present in Figs. 1a and 2a are incorrect. The correct Figs. 1a and 2a are provided here.

We analyze log-data generated by an experiment with Mathtutor, an intelligent tutoring system for fractions. The experiment compares the educational effectiveness of instruction with single and multiple graphical representations. We extract the error-making and hint-seeking behaviors of each student to characterize their learning strategy. Using an expectation-maximization approach, we cluster the students by their strategic profile. We find that a) experimental condition and learning outcome are clearly associated b) experimental condition and learning strategy are not, and c) almost all (...) of the association between experimental condition and learning outcome is found among students implementing just one of the learning strategies we identify. This class of students is characterized by relatively high rates of error as well as a marked reluctance to seek help. They also show the greatest educational gains from instruction with multiple rather than single representations. The behaviors that characterize this group illuminate the mechanism underlying the effectiveness of multiple representations and suggest strategies for tailoring instruction to individual students. Our methodology can be implemented in an on-line tutoring system to dynamically tailor individualized instruction. (shrink)

Neuroconstructivism postulates the progressive complexity of mental representation over the course of cognitive development and the role of the graphic representation of movement in the transformation of mental schemas, cognitive flexibility, and representational complexity. This study aims to: understand children’s resources in the drawing of movement ; and verify whether there are differences in the graphic representation of movement as an indicator of cognitive flexibility. The participants were N = 240 children aged 5–8 years; 1,440 drawings were collected representing 2,880 (...) characters from six stories. The analysis consisted: data quality control, using the kappa coefficient, and Generalizability Theory to test the instrument’s validity and reliability; Multivariate General Analysis and Mixed Linear Analysis of the factors ; Multivariate General Analysis of the graphic components: categories and microcategories, as well as the elements that make up the macrocategories: “Static,” “Indication,” and “Movement”; and calculation of the generalizability coefficient. The results show that: age best explains variability, with a high effect size across all components, thus increasing its complexity and at ages 6 and 7, “Indication” appears as a modulator of “Static” toward “Movement”. The generalizability coefficient is optimal. It is concluded that changes in the initial graphic representation of movement may interactively transform mental representation, thus increasing cognitive flexibility and prompting teaching applications to optimize such changes. (shrink)

The success of the stakeholder theory in management literature as well as in current business practices is largely due to the inherent simplicity of the stakeholder model-and to the clarity of Freeman's powerful synthesised visual conceptualisation. However, over the years, critics have attacked the vagueness and ambiguity of stakeholder theory. In this article, rather than building on the discussion from a theoretical point of view, a radically different and innovative approach is chosen: the graphical framework is used as the (...) central perspective. The major shortcomings of the popular stakeholder framework are systematically confronted with the graphical scheme to illustrate their visual impact. The graphical illustrations of the imperfections help explain the sometimes-oversimplified generalisation inherent to every graphical model. They also make some interrelationships easier to understand. The analysis demonstrates that, with the tacit but implicit acceptance of simplification of the discussed explanatory elements, Freeman's framework remains a rather good approximation of reality. Only a few minor changes to the stakeholder model are consequently proposed. (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)

The work reported here is of two sorts. One the one hand, we attempt to consolidate a lot of recent work on situation theory into a workable version, one that researchers can use and add to in ways that might be suitable for various applications. On the other, we attempt to solve a representational problem with situation theory: how can we represent complicated situation-theoretic objects in a way that is perspicuous. Our way in to the latter problem comes from an (...) on-going project aimed at bringing insights from Discourse Representation Theory and Situation Theory to bear on one another. In terms of this project, this paper represents a rather modest contribution. Our goal is to design a language for representing situationtheoretic objects that is based on Kamp's discourse representation structures. This was where we started but we found that working on the notation and its semantics led us to clari cations of various aspects of situation theory. A major part of the clari cation in the theory comes from our use of the work on parameters and abstraError: Illegal entry in bfrange block in ToUnicode CMapError: Illegal entry in bfrange block in ToUnicode CMapError: Illegal entry in bfrange block in ToUnicode CMapError: Illegal entry in bfrange block in ToUnicode CMapError: Illegal entry in bfrange block in ToUnicode CMapError: Illegal entry in bfrange block in ToUnicode CMapError: Illegal entry in bfrange block in ToUnicode CMapError: Illegal entry in bfrange block in ToUnicode CMapError: Illegal entry in bfrange block in ToUnicode CMapError: Illegal entry in bfrange block in ToUnicode CMapError: Illegal entry in bfrange block in ToUnicode CMapError: Illegal entry in bfrange block in ToUnicode CMapError: Illegal entry in bfrange block in ToUnicode CMapError: Illegal entry in bfrange block in ToUnicode CMapError: Illegal entry in bfrange block in ToUnicode CMapError: Illegal entry in bfrange block in ToUnicode CMapError: Illegal entry in bfrange block in ToUnicode CMapError: Illegal entry in bfrange block in ToUnicode CMapError: Illegal entry in bfrange block in ToUnicode CMapError: Illegal entry in bfrange block in ToUnicode CMapction by Aczel and Lunnon AL]. (shrink)

It has been suggested that iconic graphical signs evolve into symbolic graphical signs through repeated usage. This article reports a series of interactive graphical communication experiments using a ‘pictionary’ task to establish the conditions under which the evolution might occur. Experiment 1 rules out a simple repetition based account in favor of an account that requires feedback and interaction between communicators. Experiment 2 shows how the degree of interaction affects the evolution of signs according to a process (...) of grounding. Experiment 3 confirms the prediction that those not involved directly in the interaction have trouble interpreting the graphical signs produced in Experiment 1. On the basis of these results, this article argues that icons evolve into symbols as a consequence of the systematic shift in the locus of information from the sign to the users' memory of the sign's usage supported by an interactive grounding process. (shrink)

The emergence of shared symbol systems is considered to be a pivotal moment in human evolution and human development. These changes are normally explained by reference to changes in people's internal cognitive processes. We present 2 experiments which provide evidence that changes in the external, collaborative processes that people use to communicate can also affect the structure and organization of symbol systems independently of cognitive change. We propose that mutual‐modifiability—opportunities for people to edit or manipulate each other's contributions—is a key (...) constraint on the emergence of complex symbol systems. We discuss the implications for models of language development and the origins of compositionality. (shrink)

Book review of Danks, D. (2014) Unifying the Mind: Cognitive Representations as Graphical Models.

Non-fiction graphic novels about illness and death created by patients and their loved ones have much to teach all readers. However, the bond of empathy made possible in the comic form may have special lessons for healthcare providers who read these texts and are open to the insights they provide.

There are simple mechanical systems that elude causal representation. We describe one that cannot be represented in a single directed acyclic graph. Our case suggests limitations on the use of causal graphs for causal inference and makes salient the point that causal relations among variables depend upon details of causal setups, including values of variables.

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)

In the framework of quantitative possibility theory, two representation modes were developed: logical-based representation in terms of quantitative possibilistic bases and graphical-based representation in terms of product-based possibilistic networks. This paper deals with logical and graphical representations of uncertain information using a quantitative possibility theory framework. We first provide a deep analysis of the relationships between these two forms of representational frameworks. Then, in the logical setting, we develop syntactic relations between penalty logic and quantitative possibilistic logic. These (...) translations are useful for different applications and are interesting for taking advantage of each format at the inferential level. We also provide an algorithm for reasoning with quantitative possibilistic logic. The algorithm takes inspiration from the syntactic relations between quantitative possibilistic logic bases and penalty logic. Finally, we provide experimental results that compar.. (shrink)

We discuss external and internal graphical and linguistic representational systems. We argue that a cognitive theory of peoples' reasoning performance must account for (a) the logical equivalence of inferences expressed in graphical and linguistic form, and (b) the implementational differences that affect facility of inference. Our theory proposes that graphical representation limit abstraction and thereby aid “processibility”. We discuss the ideas of specificity and abstraction, and their cognitive relevance. Empirical support both comes from tasks which involve the (...) manipulation of external graphics and tasks that do not. For the former, we take Euler's (1772) circles, provide a novel computational reconstruction, show how it captures abstractions, and contrast it with earlier construals and with Johnson‐Laird's (1983) mental models representations. We demonstrate equivalence of the graphical Euler system, and the nongraphical mental models system. For tasks not involving manipulation of external graphics, we discuss text comprehension, and the mental performance of syllogisms. By positing an internal system with the same specificity as Euler's circles, we cover the mental models data, and generate new empirical predictions. Finally, we consider how the architecture of working memory explains why such specific representations are relatively easy to store. (shrink)

Rather than being random deviation, student errors can be a source of insight into the nature of student difficulties. This paper reports on (and offers pedagogical advice concerning) many common student errors in the construction of proofs, in the application of inference and replacement rules, and in the choice of proof strategies. In addition, a detailed description of the bottom-up strategy for “working backwards” is supplied, along with a discussion of the main difficulties students face when trying to solve proofs (...) in this fashion. Ultimately, it is argued that students can employ both top-down and bottom-up proofs strategies by making use of a graphic proof representation. (shrink)

Graphical models are a powerful tool for causal model specification. Besides allowing for a hierarchical representation of variable interactions, they do not require any a priori specification of the functional dependence between variables. The construction of such graphs hence often relies on the mere testing of whether or not model variables are marginally or conditionally independent. The identification of causal relationships then solely requires some general assumptions on the relation between stochastic and causal independence, such as the Causal Markov (...) Condition and the Faithfulness Condition (Spirtes et al. 2000; Pearl 2000). However, a procedure would require further assumptions to hold. Namely those the independence tests themselves are based on. In continuous settings, Spirtes et al. (2000) suggest causal inference based on a very restrictive formulation of independence, that is, vanishing partial correlations. Such a measure does, however, limit the applicability of causal inference to linear systems. This constitutes a serious drawback especially for the social sciences where an a priori specification of the functional form proves difficult or at odds with linearity. In short: graphical models theoretically reduce specification uncertainty regarding functional dependence, but their implementation in practice deprives them of this virtue. In this paper we investigate how causal structures in continuous settings can be identified when both functional forms and probability distributions of the variables remain unspecified. We focus on tests exploiting the fact that if X and Y are conditionally independent given a set of variables Z, the two conditional densities f (X|Y, Z) and f (X|Z) must coincide. We start by estimating the conditional densities f(X|Y, Z) and f(X|Z) via nonparametric techniques (kernel methods). We proceed by testing if some metric expressing the distance between these very conditional densities is sufficiently close to zero. Out of several metrics available in the literature to express such distance we choose two, the Euclidean, and the Hellinger distance. We investigate in a Monte Carlo study how different tests involving either measure are able to detect statistical independence, conditioned on a small set of variables. One limitation may result from nonparametric density estimation being subject to the curse of dimensionality. As the number of variables increases, the estimated empirical density converges at a slower rate to its population value. To compensate this drawback we use a local bootstrap procedure which consists of resampling the data for each test. While local bootstrap strongly increases the computational time of the test, it succeeds in counterbalancing the curse of dimensionality. (shrink)

ABSTRACT Real-time graphical interval logic is a modal logic for reasoning about time in which the basic modality is the interval. The logic differs from other logics in that it has a natural intuitive graphical representation that resembles the timing diagrams drawn by system designers. We have developed an automted deduction system for the logic, which includes a theorem prover and a user interface. The theorem prover checks the validity of proofs in the logic and produces counterexamples to (...) invalid proofs. The user interface includes a graphical editor that enables the user to create graphical formulas on a workstation display, and a database and proof manager that tracks proof dependencies and allows graphical formulas to be stored and retrieved. In this paper we describe the logic, the automated deduction system, and an application to robotics. (shrink)

This paper investigates an alternative set theory (due to Peter Aczel) called Hyperset Theory. Aczel uses a graphical representation for sets and thereby allows the representation of non-well-founded sets. A program, called HYPERSOLVER, which can solve systems of equations defined in terms of sets in the universe of this new theory is presented. This may be a useful tool for commonsense reasoning.

ABSTRACT:Datafication has allowed us to quantify every facet of the corona-virus pandemic. A significant quantity of data sets on infection and recovery rates, mortality, comorbidities, the intensity of symptoms, region-by-region statistics, vaccination, and virus variants, among other things, has been made publicly available. However, these data sets relentlessly reduce human beings to mere numbers and graph points. The present study employs a close reading of comic panels to demonstrate how graphic medicine uses data to critique, supplement, and expose its lacunae. (...) The article draws from graphic medical narratives and panels such as Andy Warner's "The Nib Bureau of Statistics" (2020), Sarah Firth's "State of Emergency" (2021), and Randall Munroe's "Statistics" (2020). Though data visualizations and comics are both graphical representations, their treatment of COVID-19-related issues is radically different. Graphic medicine "re-draws" data visualizations through imitation, subversion, and displacement to showcase multiple temporalities, marginal agencies, and the affective nature of human existence. Furthermore, the humanistic intervention of graphic medicine deftly reclaims individual lives and attendant stories in a world dominated by technologically mediated data. This essay does not dismiss the performative force of data; instead, it insists on humanizing and contextualizing a sensitive presentation of data to convey our entangled existence and collective states. (shrink)

By applying terminology from trauma theory and a methodological approach from comics scholarship, this essay discusses three graphic autobiographies of women. These are A Game for Swallows by Zeina Abirached, We are on our Own by Miriam Katin, and Persepolis by Marjane Satrapi. Two issues are at the centre of the investigation: the strategies by which these works engage in the much-debated issues of representing gendered violence, and the representation of the ways traumatized daughters and their mothers deal with the (...) identity crises caused by war. (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)

In the graphical representation of ontologies, it is customary to use graph theory as the representational background. We claim here that the standard graph-based approach has a number of limitations. We focus here on a problem in the graph-based representation of ontologies in complex domains such as biomedical, engineering and manufacturing: lack of mereotopological representation. Based on such limitation, we proposed a diagrammatic way to represent an entity’s structure and various forms of mereotopological relationships between the entities.

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)

Succinct representation and fast access to large amounts of data are challenges of our time. This unique book suggests general approaches of 'complexity of descriptions'. It deals with a variety of concrete topics and bridges between them, while opening new perspectives and providing promising avenues for the 'complexity puzzle'.

Computer graphic modeling forms an increasing part of archaeological practice, implicated in modes of recording objects and spaces, interpretation of types, management of three-dimensional information, creation of artificial experiences of place for interpretation, and representation of archaeological ideas to a broader public. In all spheres of life computer graphics are increasingly influential—by some estimates computed visions constitute the "dominant medium of thought" (Gooding 2008, p. 1). Archaeological computer graphics build on a long tradition of physical model building for the development (...) of understanding, and representation of conclusions. Such physical models are now finding a renewed significance as .. (shrink)

Although learning from multiple representations has been shown to be effective in a variety of domains, little is known about the mechanisms by which it occurs. We analyzed log data on error-rate, hint-use, and time-spent obtained from two experiments with a Cognitive Tutor for fractions. The goal of the experiments was to compare learning from multiple graphical representations of fractions to learning from a single graphical representation. Finding that a simple statistical model did not fit data from either (...) experiment, we searched over all possible mediation models consistent with background knowledge, finding several that fit the data well. We also searched over alternative measures of student error-rate, hint-use, and time-spent to see if our data were better modeled with simple monotonic or u-shaped non-monotonic relationships. We found no evidence for non-monotonicity. No matter what measures we used, time-spent was irrelevant, and hint-use was only occasionally relevant. Although the total effect of multiple representations on learning was positive, they also had a negative effect on learning, mediated by a higher error-rate. Our evidence suggests that multiple representations increase error-rate, which in turn inhibits learning. The mechanisms by which multiple representations improve learning are as yet unmodeled. (shrink)

Erratum to: Synthese 191:1925–1930 DOI:10.1007/s11229-013-0380-3 The authors were unaware that points in their article appeared in “Caveats for Causal Reasoning with Equilibrium Models,” by Denver Dash and Marek Druzdzel, published in S. Benferhat and P. Besnard : European Conferences on Symbolic and Quantitative Approaches to Reasoning with Uncertainty 2001, Lecture Notes in Artificial Intelligence 2143, pp. 192–203. The authors were unaware of this essay and would like to apologize to the authors for failing to cite their excellent work.

In this paper we examine optimal bidding without the independence axiom in a unified framework which allows for a clear graphical representation. Thus, we can show very simply the independence axiom to be a necessary and sufficient condition on preferences for strategical equivalence of the two first-price and second-price auctions, respectively, and for the second-price sealed-bid auction to be demand revealing. The analysis reveals that the betweenness property is necessary and sufficient for the ascending-bid auction to be demand revealing (...) while optimal bids exceed (are less than) bidders' valuations, iff preferences are quasiconcave (quasiconvex). Furthermore, it can be shown that fanning out (fanning in) leads to a higher (lower) selling-price in open than in sealed-bid auctions. (shrink)

Many different, seemingly mutually exclusive, theories of categorization have been proposed in recent years. The most notable theories have been those based on prototypes, exemplars, and causal models. This chapter provides “representation theorems” for each of these theories in the framework of probabilistic graphical models. More specifically, it shows for each of these psychological theories that the categorization judgments predicted and explained by the theory can be wholly captured using probabilistic graphical models. In other words, probabilistic graphical (...) models provide a lingua franca for these disparate categorization theories, and so we can quite directly compare the different types of theories. These formal results are used to explain a variety of surprising empirical results, and to propose several novel theories of categorization. (shrink)

The nineteenth century was a period of science and imagery: when scientific theories and discoveries challenged longstanding boundaries between animal, plant, and human, and art and visual culture produced new notions about the place of the human in the natural world. Just as scientists relied on graphic representation to conceptualize their ideas, artists moved seamlessly between scientific debate and creative expression to support or contradict popular scientific theories, such as Darwin's theory of evolution and sexual selection, deliberately drawing on concepts (...) in ways that allowed them to refute popular claims or disrupt conventional knowledges. Focusing on the close kinship between the arts and sciences during the Victorian period, the art historians contributing to this volume reveal the unique ways in which nineteenth-century British and American visual culture participated in making science - and in which science informed art at a crucial moment in the history of the development of the modern world. Together, they explore topics in geology, meteorology, medicine, anatomy, evolution, and zoology, as well as a range of media, from photography to oil painting. This volume reminds us that science and art are not tightly compartmentalized, separate influences, but rather fields that shared forms - manifest as waves, layers, lines, or geometries - and invest in the idea of the evolution of form. (shrink)

This thesis challenges a general prejudice against visualization in the history of logic and mathematics, by providing a semantic analysis of two graphical representation systems--a traditional Venn diagram representation system and an extension of it. While Venn diagrams have been used to solve problems in set theory and to test the validity of syllogisms in logic, they have not been considered valid proofs but heuristic tools for finding valid formal proofs. ;I present Venn diagrams which have been used in (...) logic as a formal system of representation equipped with its own syntax and semantics. I also show that Venn-I, with the rules of transformation that I specify, is sound and complete. The soundness of Venn-I refutes a worry that mathematicians and logicians have about graphical representation: Fallacies often have arisen from the misuse of diagrams in mathematical proofs, especially in geometry. However, the validity of the transformation rules assures us that the correct application of these rules will not lead to fallacies. ;I extend Venn-I so that this new system has a general way to convey disjunctive information. A new formation rule is introduced and new transformation rules are added. I call this extended system Venn-II. The semantics of Venn-II is formalized as an extension of the semantics of Venn-I. The soundness and completeness of Venn-II are also proven. I then show that Venn-II and a monadic first-order language are equivalent in their expressiveness. ;The analysis of Venn-I and Venn-II leads to interesting issues which have their analogues in other deductive systems. I conclude the thesis with a discussion of some fundamental differences between graphical systems and linguistic systems. (shrink)

The dominant discourse on dementia promotes a view that as individuals progress with the disease, they experience a neurological decline causing a loss of self. This notion, grounded in a Cartesian representation of selfhood, associates a loss of self as directly related to cognition. This paper presents an alternative anthropological framework, embodied selfhood, that challenges this representation. It then examines a potential tool, graphic medicine, to translate this theory into caregiving practice. Through analyzing three graphic novels—Wrinkles, Tangles, and Aliceheimer’s—this paper (...) demonstrates how tension exists between different conceptions of selfhood and associated implications for caregivers and patients alike. (shrink)

Chemical structures are among the trademarks of our profession, as surely chemical as flasks, beakers and distillation columns. When someone sees one of us busily scribbling formulas or structures, he or she has no trouble identifying a chemist. Yet these familiar objects, which accompany our work from start to end, from the initial doodlings (Fig. I) to the final polished artwork in a publication (Fig. II), are deceptively simple. They raise interesting and difficult questions about representation. It is the intent (...) of this article to reflect upon molecular graphics. (shrink)

The purpose of this study is to examine how trends in the use of images in modern life science journals have changed since the spread of computer-based visual and imaging technology. To this end, a new classification system was constructed to analyze how the graphics of a scientific journal have changed over the years. The focus was on one international peer-reviewed journal in life sciences, Cell, which was founded in 1974, whereby 1725 figures and 160 tables from the research articles (...) in Cell were sampled. The unit of classification was defined as a graphic and the figures and tables were divided into 5952 graphics. These graphics were further classified into hierarchical categories, and the data in each category were aggregated every five years. The following categories were observed: data graphics, explanation graphics, and hybrid graphics. Data graphics increased by more than sixfold between 1974 and 2014, and some types of data graphics including mechanical reproduction images and bar charts displayed notable changes. The representation of explanatory graphics changed from hand-painted illustrations to diagrams of Bezier-curves. It is suggested that in addition to the development of experimental technologies such as fluorescent microscopy and big data analysis, continuously evolving application software for image creation and researchers’ motivation to convince reviewers and editors have influenced these changes. (shrink)