Visual Information and Valid Reasoning

Author(s):  
Jon Barwise ◽  
John Etchemendy

Psychologists have long been interested in the relationship between visualization and the mechanisms of human reasoning. Mathematicians have been aware of the value of diagrams and other visual tools both for teaching and as heuristics for mathematical discovery. As the chapters in this volume show, such tools are gaining even greater value, thanks in large part to the graphical potential of modern computers. But despite the obvious importance of visual images in human cognitive activities, visual representation remains a second-class citizen in both the theory and practice of mathematics. In particular, we are all taught to look askance at proofs that make crucial use of diagrams, graphs, or other nonlinguistic forms of representation, and we pass on this disdain to our students. In this chapter, we claim that visual forms of representation can be important, not just as heuristic and pedagogic tools, but as legitimate elements of mathematical proofs. As logicians, we recognize that this is a heretical claim, running counter to centuries of logical and mathematical tradition. This tradition finds its roots in the use of diagrams in geometry. The modern attitude is that diagrams are at best a heuristic in aid of finding a real, formal proof of a theorem of geometry, and at worst a breeding ground for fallacious inferences. For example, in a recent article, the logician Neil Tennant endorses this standard view: . . . [The diagram] is only an heuristic to prompt certain trains of inference; . . . it is dispensable as a proof-theoretic device; indeed, . . . it has no proper place in the proof as such. For the proof is a syntactic object consisting only of sentences arranged in a finite and inspectable array (Tennant [1984]). . . . It is this dogma that we want to challenge. We are by no means the first to question, directly or indirectly, the logocentricity of mathematics arid logic. The mathematicians Euler and Venn are well known for their development of diagrammatic tools for solving mathematical problems, and the logician C. S. Peirce developed an extensive diagrammatic calculus, which he intended as a general reasoning tool.

2020 ◽  
Vol 210 ◽  
pp. 22027
Author(s):  
Irina Vlasova ◽  
Yulia Ushanyova ◽  
Sergey Pisarenko

The purpose of the article is a brief description of the author’s method for solving the problem of professional competencies formation for students studying in art and adjoining specialties related to the ability to carry out aesthetic evaluation of artworks and independently conduct educating and educational activities. This problem is particularly relevant in modern conditions, which are characterized by high transmission speeds of a large amount of visual information. The methodology is based on a system of forming professional tools for students to conduct analytical work in the field of aesthetic evaluation of artworks. The development of this methodology was carried out in accordance with modern didactic principles, such as the principles of science, the relationship between theory and practice, as well as the principle of visibility. These principles were transmitted at various levels of the educational process organization. To collect information, we used such methods as analyzing literary sources on the research problem, conducting surveys of students and teachers, and analyzing modern resources for storing and distributing images, namely, author’s works of art. The educational technologies described in the article can be applied in the process of training specialists in the field of architecture, all types of visual design, painting, graphics, sculpture, as well as specialists in the field of art and correctional pedagogy, art therapy.


Author(s):  
B.A. Voronin ◽  
◽  
I.P. Chupina ◽  
Ya.V. Voronina ◽  
◽  
...  

The article discusses a non-standard view of the formation of human capital for work in organizations of the agricultural sector of the economy, in the context of modern socio-economic transformations. In the classical sense, human capital for agriculture should be formed and developed in rural areas. But in real life, this is not always the case, because there are many factors that prevent the classical solution of this problem. First, the demographic factor affects, second, social and household factors, and third, in many rural areas there are no working agricultural organizations where qualified agricultural specialists can work. All these and other circumstances actualize the problem of the quality of human capital in rural areas in relation to the development of agricultural production.


2010 ◽  
Vol 34 (4) ◽  
pp. 49
Author(s):  
Misako Tajima

Autobiographic and narrative research has recently grown in stature in the field of social sciences. Inspired by Asian TESOL researchers’ critical analyses of self-stories, this paper attempts to reflect upon the author’s personal history in relation to English and discuss ways in which she can position herself as both an English learner and a non-native English speaker (NNES) teacher. The self-reflection and discussion is followed by an argument for performativity, a notion drawing on poststructuralism to understand language itself and the global spread of English. This paper, itself a performative act conducted by a secondary school teacher, exemplifies the concept. The non-academic schoolteacher’s very act of writing in an academic journal aims to contribute to questioning assumptions underlying the relationship between theory and practice and to reconstituting the academic fields of applied linguistics and TESOL. 近年、自伝的かつ語りを含む研究が社会科学の分野で活発になってきている。本稿では、TESOLを専門とする、あるアジア人研究者が彼女たち自身の物語を素材として実施した批判的分析に着想を得て、英語にまつわる自己の歴史を振り返り、英語学習者としての、またNNESの英語教師としてのポジショナリティをどこに位置づけるのかという問題について議論する。さらに、この批判的自己内省を経て、言語そのもの、あるいは英語という言語の地球規模的広がりを理解するために、ポスト構造主義の概念であるパフォーマティヴィティについて検証する。なお、本稿これ自体がある高校教師によるパフォーマティヴな実践であることに言及しておきたい。研究者ではなく、一高校教師が学術雑誌に投稿することを通じ、理論と実践の関係性の背後にある前提に疑問を投げかけ、その結果、応用言語学やTESOLという学問分野の再構築に貢献できることを希望している。


2017 ◽  
Vol 21 (1) ◽  
pp. 12-17 ◽  
Author(s):  
David J. Pauleen

Purpose Dave Snowden has been an important voice in knowledge management over the years. As the founder and chief scientific officer of Cognitive Edge, a company focused on the development of the theory and practice of social complexity, he offers informative views on the relationship between big data/analytics and KM. Design/methodology/approach A face-to-face interview was held with Dave Snowden in May 2015 in Auckland, New Zealand. Findings According to Snowden, analytics in the form of algorithms are imperfect and can only to a small extent capture the reasoning and analytical capabilities of people. For this reason, while big data/analytics can be useful, they are limited and must be used in conjunction with human knowledge and reasoning. Practical implications Snowden offers his views on big data/analytics and how they can be used effectively in real world situations in combination with human reasoning and input, for example in fields from resource management to individual health care. Originality/value Snowden is an innovative thinker. He combines knowledge and experience from many fields and offers original views and understanding of big data/analytics, knowledge and management.


2021 ◽  
pp. 147078532110304
Author(s):  
Encarnación Ramos-Hidalgo ◽  
Rosalia Diaz-Carrion ◽  
Carlos Rodríguez-Rad

The importance of ethical behavior in consumers has never been so evident, and in recent years, researchers have generated a great deal of knowledge about ethical consumption. The search for happiness in consumption has been a recurrent line of research by academics of the management and, mainly, the marketing fields. Our study analyses the relationship between ethical and sustainable behavior in consumption and the achievement of consumer happiness. Employing structural equations, the findings of the study suggest that there is a positive relationship between consumers’ predisposition toward sustainable behavior and happiness. In addition, the findings indicate that, when there are reasons to justify unethical behavior in consumption, the consumer also manages to be happier. Important implications for theory and practice are derived from the results. Emphasizing the benefits of sustainable consumption for enhancing happiness might instigate sustainable consumption, especially in the case of those consumers who do not have a positive attitude toward sustainable consumption.


2021 ◽  
Vol 11 (8) ◽  
pp. 3555
Author(s):  
Chien-Hsiung Chen ◽  
Zhongzhen Lin

In the present era, technology is developing rapidly. Smartphones play a significant part in people’s lives. However, the research on smartphones mainly focuses on the area of technological realization. The purposes of this study were to examine the relationship between the various rear cameras in smartphones and consumer perceptions, and to understand consumers’ purchasing intentions and preferences. Through the methods of multidimensional scaling (MDS), factor analysis and triangular fuzzy numbers, the visual images of the smartphone rear cameras were analyzed and discussed. The results indicate that the visual images taken by different shapes of rear camera are quite distinct in the categories of innovative and fashionable, and simple and pure, but less distinct in the categories of harmonious and ordered, premium and technical, and superior and valuable. Through a comprehensive comparison, four groups whose images were similar were created. The outcome effectively reflects the potential consumer demands for smartphone rear camera patterns, providing insights for design practices in the smartphone industry.


2021 ◽  
Vol 13 (6) ◽  
pp. 3341
Author(s):  
Jesús Maya ◽  
Juan F. Luesia ◽  
Javier Pérez-Padilla

Universities strive to ensure quality education focused on the diversity of the student body. According to experiential learning theory, students display different learning preferences. This study has a three-fold objective: to compare learning styles based on personal and educational variables, to analyze the association between learning styles, the level of academic performance, and consistency of performance in four assessment methods, and to examine the influence of learning dimensions in students with medium-high performance in the assessment methods. An interdisciplinary approach was designed involving 289 psychology, early childhood education and primary education students at two universities in Spain. The Learning Style Inventory was used to assess learning styles and dimensions. The assessment methods used in the developmental psychology course included the following question formats: multiple-choice, short answer, creation-elaboration and an elaboration question on the relationship between theory and practice. Univariate analysis, multivariate analysis, and binomial logistic models were computed. The results reveal Psychology students to be more assimilative (theoretical and abstract), while early childhood and primary education students were evenly distributed among styles and were more divergent and convergent (practical) in absolute terms. In addition, high scores in perception (abstract conceptualization) were associated with a high level of performance on the multiple-choice tests and the elaboration question on the relationship between theory and practice. Abstract conceptualization was also associated with medium-high performance in all assessment methods and this variable predicted consistent high performance, independent of the assessment method. This study highlights the importance of promoting abstract conceptualization. Recommendations for enhancing this learning dimension are presented.


2021 ◽  
Vol 11 (1) ◽  
Author(s):  
Jacques Pesnot Lerousseau ◽  
Gabriel Arnold ◽  
Malika Auvray

AbstractSensory substitution devices aim at restoring visual functions by converting visual information into auditory or tactile stimuli. Although these devices show promise in the range of behavioral abilities they allow, the processes underlying their use remain underspecified. In particular, while an initial debate focused on the visual versus auditory or tactile nature of sensory substitution, since over a decade, the idea that it reflects a mixture of both has emerged. In order to investigate behaviorally the extent to which visual and auditory processes are involved, participants completed a Stroop-like crossmodal interference paradigm before and after being trained with a conversion device which translates visual images into sounds. In addition, participants' auditory abilities and their phenomenologies were measured. Our study revealed that, after training, when asked to identify sounds, processes shared with vision were involved, as participants’ performance in sound identification was influenced by the simultaneously presented visual distractors. In addition, participants’ performance during training and their associated phenomenology depended on their auditory abilities, revealing that processing finds its roots in the input sensory modality. Our results pave the way for improving the design and learning of these devices by taking into account inter-individual differences in auditory and visual perceptual strategies.


Religions ◽  
2021 ◽  
Vol 12 (6) ◽  
pp. 451
Author(s):  
Rebekah Lamb

This essay introduces and examines aspects of the theological aesthetics of contemporary Canadian artist, Michael D. O’Brien (1948–). It also considers how his philosophy of the arts informs understandings of the Catholic imagination. In so doing, it focuses on his view that prayer is the primary source of imaginative expression, allowing the artist to operate from a position of humble receptivity to the transcendent. O’Brien studies is a nascent field, owing much of its development in recent years to the pioneering work of Clemens Cavallin. Apart from Cavallin, few scholars have focused on O’Brien’s extensive collection of paintings (principally because the first catalogue of his art was only published in 2019). Instead, they have worked on his prodigious output of novels and essays. In prioritising O’Brien’s paintings, this study will assess the relationship between his theological reflections on the Catholic imagination and art practice. By focusing on the interface between theory and practice in O’Brien’s art, this article shows that conversations about the philosophy of the Catholic imagination benefit from attending to the inner standing points of contemporary artists who see in the arts a place where faith and praxis meet. In certain instances, I will include images of O’Brien’s devotional art to further illustrate his contemplative, Christ-centred approach to aesthetics. Overall, this study offers new directions in O’Brien studies and scholarship on the philosophy of the Catholic imagination.


Ecclesiology ◽  
2005 ◽  
Vol 1 (3) ◽  
pp. 27-43
Author(s):  
Graham Buxton

AbstractThe author critiques inductive approaches to pastoral theology that rely on the empirical methodology of the social and human sciences, and presents an alternative Christocentric praxis model of pastoral ministry. The result is an attempt to integrate pastoral theory and practice that shifts the perspective away from functionally-determined theologies of ministry to a relationally oriented and hermeneutically coherent model of orthopraxis in which theory and practice interact in a way that is intended to both deepen faith and transform lives. Some of the key themes that inform the discussion are the importance of theological method, the role of the community as the context for care, the relationship between practical ministry and systematic theology, and the notion of praxis in articulating the nature and scope of practical theology today.


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