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Visions of Infinity: The Great Mathematical Problems
by Ian StewartIt is one of the wonders of mathematics that, for every problem mathematicians solve, another awaits to perplex and galvanize them. Some of these problems are new, while others have puzzled and bewitched thinkers across the ages. <P><P>Such challenges offer a tantalizing glimpse of the field's unlimited potential, and keep mathematicians looking toward the horizons of intellectual possibility. In Visions of Infinity, celebrated mathematician Ian Stewart provides a fascinating overview of the most formidable problems mathematicians have vanquished, and those that vex them still. He explains why these problems exist, what drives mathematicians to solve them, and why their efforts matter in the context of science as a whole. The three-century effort to prove Fermat's last theorem-first posited in 1630, and finally solved by Andrew Wiles in 1995-led to the creation of algebraic number theory and complex analysis. The Poincaré conjecture, which was cracked in 2002 by the eccentric genius Grigori Perelman, has become fundamental to mathematicians' understanding of three-dimensional shapes. But while mathematicians have made enormous advances in recent years, some problems continue to baffle us. Indeed, the Riemann hypothesis, which Stewart refers to as the "Holy Grail of pure mathematics," and the P/NP problem, which straddles mathematics and computer science, could easily remain unproved for another hundred years. An approachable and illuminating history of mathematics as told through fourteen of its greatest problems, Visions of Infinity reveals how mathematicians the world over are rising to the challenges set by their predecessors-and how the enigmas of the past inevitably surrender to the powerful techniques of the present.
Visions of Order: The Cultural Crisis of Our Time
by Richard M. WeaverAn essential work from scholar and rhetorician Richard Weaver, a leading figure in the rise of the modern conservative intellectual movement.
Visions of Politics, Volume 1: Regarding Method
by Quentin SkinnerThe first of three volumes of essays by Quentin Skinner, one of the world's leading intellectual historians. This collection includes some of his most important philosophical and methodological statements written over the past four decades, each carefully revised for publication in this form. In a series of seminal essays Professor Skinner sets forth the intellectual principles that inform his work. Writing as a practising historian, he considers the theoretical difficulties inherent in the pursuit of knowledge and interpretation, and elucidates the methodology which finds its expression in his two successive volumes. All of Professor Skinner's work is characterised by philosophical power, limpid clarity, and elegance of exposition; these essays, many of which are now recognised classics, provide a fascinating and convenient digest of the development of his thought.
Visions of Schooling: Conscience, Community, and Common Education
by Rosemary C. Salomone"In this book, Rosemary Salomone sets aside the ideological and inflammatory rhetoric that surrounds today's debates over educational values and family choice. She offers instead a fair-minded examination of education for democratic citizenship in a society that values freedom of conscience and religious pluralism. And she proposes a balanced course of action that redefines but does not sever the relationship between education and the state. "--BOOK JACKET. Title Summary field provided by Blackwell North America, Inc. All Rights Reserved
Visions Of Technology: A Century Of Vital Debate About Machines Systems A
by Richard RhodesTechnology was the blessing and the bane of the twentieth century. Human life span nearly doubled in the West, but in no century were more human beings killed by new technologies of war. Improvements in agriculture now feed increasing billions, but pesticides and chemicals threaten to poison the earth. Does technology improve us or diminish us? Enslave us or make us free? With this first-ever collection of the essential twentieth-century writings on technology, Pulitzer Prize-winning historian Richard Rhodes explores the optimism, ambivalence, and wrongheaded judgments with which Americans have faced an ever-shifting world.Visions of Technology collects writings on events from the Great Exposition of 1900 and the invention of the telegraph to the advent of genetic counseling and the defeat of Garry Kasparov by IBM's chess-playing computer, Deep Blue. Its gems of opinion and history include Henry Ford on the horseless carriage, Robert Caro on the transformation of New York City, J. Robert Oppenheimer on science and war, Loretta Lynn on the Pill and much more. Together, they chronicle an unprecedented century of change.
Visual Alterity: Seeing Difference in Cinema
by Randall HalleReconsidering the dynamics of perception Using cinema to explore the visual aspects of alterity, Randall Halle analyzes how we become cognizant of each other and how we perceive and judge another person in a visual field. Halle draws on insights from philosophy and recent developments in cognitive and neuroscience to argue that there is no pure "natural" sight. We always see in a particular way, from a particular vantage point, and through a specific apparatus, and Halle shows how human beings have used cinema to experiment with the apparatus of seeing for over a century. Visual alterity goes beyond seeing difference to being conscious of how one sees difference. Investigating the process allows us to move from mere perception to apperception, or conscious perception. Innovative and insightful, Visual Alterity merges film theory with philosophy and cutting-edge science to propose new ways of perceiving and knowing.
Visual and Cultural Identity Constructs of Global Youth and Young Adults: Situated, Embodied and Performed Ways of Being, Engaging and Belonging (Routledge Research in Cultural and Media Studies)
by Fiona BlaikieThis collection brings together the ideas of key global scholars focusing on the lives of youth and young adults, examining their visual and cultural identity constructs. Embracing an international perspective encompassing the Global North and Global South, chapters explore expressions and performances of youth and young adults as shifting and entangled, in and through the clothed body, gender, sexuality, race, artistic and pedagogical making practices, in spaces and places, framed by new materialism, social media, popular and material culture. The overarching emphasis of the collection is on youth and young adults’ strategies for engaging in and with the world, becoming a someone, and belonging, in settings that include a juvenile arbitration program, an artist community, high schools, universities, families and social media. This truly interdisciplinary and international collection will have resonance not just within cultural and media studies, but also in education, anthropology, sociology, gender studies, child and youth studies, visual culture, and communication studies.
Visual Culture and Mathematics in the Early Modern Period (Visual Culture in Early Modernity)
by Ingrid Alexander-SkipnesDuring the early modern period there was a natural correspondence between how artists might benefit from the knowledge of mathematics and how mathematicians might explore, through advances in the study of visual culture, new areas of enquiry that would uncover the mysteries of the visible world. This volume makes its contribution by offering new interdisciplinary approaches that not only investigate perspective but also examine how mathematics enriched aesthetic theory and the human mind. The contributors explore the portrayal of mathematical activity and mathematicians as well as their ideas and instruments, how artists displayed their mathematical skills and the choices visual artists made between geometry and arithmetic, as well as Euclid’s impact on drawing, artistic practice and theory. These chapters cover a broad geographical area that includes Italy, Switzerland, Germany, the Netherlands, France and England. The artists, philosophers and mathematicians whose work is discussed include Leon Battista Alberti, Nicholas Cusanus, Marsilio Ficino, Francesco di Giorgio, Leonardo da Vinci and Andrea del Verrocchio, as well as Michelangelo, Galileo, Piero della Francesca, Girard Desargues, William Hogarth, Albrecht Dürer, Luca Pacioli and Raphael.
Visual Global Politics (Interventions)
by Roland BleikerWe live in a visual age. Images and visual artefacts shape international events and our understanding of them. Photographs, film and television influence how we view and approach phenomena as diverse as war, diplomacy, financial crises and election campaigns. Other visual fields, from art and cartoons to maps, monuments and videogames, frame how politics is perceived and enacted. Drones, satellites and surveillance cameras watch us around the clock and deliver images that are then put to political use. Add to this that new technologies now allow for a rapid distribution of still and moving images around the world. Digital media platforms, such as Twitter, YouTube, Facebook and Instagram, play an important role across the political spectrum, from terrorist recruitment drives to social justice campaigns. This book offers the first comprehensive engagement with visual global politics. Written by leading experts in numerous scholarly disciplines and presented in accessible and engaging language, Visual Global Politics is a one-stop source for students, scholars and practitioners interested in understanding the crucial and persistent role of images in today’s world.
The Visual Language of Technique
by Luigi CocchiarellaThe book is inspired by the third seminar in a cycle connected to the celebrations of the 150th anniversary of the Politecnico di Milano (July 2013). "Educating by Image. Teaching Styles vs Learning Styles" was the motto of this meeting. The contributions (coming from lectures, the poster session, interviews and round table) aim to propose an updated look at visual education, highlighting how digital tools and networks have profoundly affected the "representational styles" of the teachers and the "cognitive styles" of the learners, while at the same time reaffirming the importance of the interaction between the two groups. As Herbert Alexander Simon once said, "Learning results. . . only from what the student does and thinks"; therefore "the teacher can advance learning only by influencing what the student does to learn". That is no mean feat if we consider that, according to Benjamin Samuel Bloom, visual education not only involves the pure cognition, but also the affective and the psychomotor domains, not to mention the social aspects. This is why, alongside some theoretical and historical retrospectives, the contributions recommend a continuous revision of "what" and "how" could be included in the academic curricula, also in connection with secondary schools, the professional world, targeted Lifelong Learning Programmes for students and teachers. The volume includes an interview with the science journalist and writer Piero Angela.
Visual Mathematics and Cyberlearning
by Dragana Martinovic Zekeriya Karadag Viktor FreimanThis first book in the series will describe the Net Generation as visual learners who thrive when surrounded with new technologies and whose needs can be met with the technological innovations. These new learners seek novel ways of studying, such as collaborating with peers, multitasking, as well as use of multimedia, the Internet, and other Information and Communication Technologies. Here we present mathematics as a contemporary subject that is engaging, exciting and enlightening in new ways. For example, in the distributed environment of cyber space, mathematics learners play games, watch presentations on YouTube, create Java applets of mathematics simulations and exchange thoughts over the Instant Messaging tool. How should mathematics education resonate with these learners and technological novelties that excite them?
Visual Pedagogy: Media Cultures in and Beyond the Classroom
by Brian GoldfarbIn classrooms, museums, health clinics and beyond, the educational uses of visual media have proliferated over the past fifty years. Film, video, television, and digital media have been integral to the development of new pedagogical theories and practices, globalization processes, and identity and community formation. Yet, Brian Goldfarb argues, the educational roles of visual technologies have not been fully understood or appreciated. He contends that in order to understand the intersections of new media and learning, we need to recognize the sweeping scope of the technologically infused visual pedagogy--both in and outside the classroom. From Samoa to the United States mainland to Africa and Brazil, from museums to city streets, Visual Pedagogy explores the educational applications of visual media in different institutional settings during the past half century. Looking beyond the popular media texts and mainstream classroom technologies that are the objects of most analyses of media and education, Goldfarb encourages readers to see a range of media subcultures as pedagogical tools. The projects he analyzes include media produced by AIDS/HIV advocacy groups and social services agencies for classroom use in the 1990s; documentary and fictional cinemas of West Africa used by the French government and then by those resisting it; museum exhibitions; and TV Anhembi, a municipally sponsored collaboration between the television industry and community-based videographers in São Paolo, Brazil. Combining media studies, pedagogical theory, and art history, and including an appendix of visual media resources and ideas about the most productive ways to utilize visual technologies for educational purposes, Visual Pedagogy will be useful to educators, administrators, and activists.
Visual Phenomenology
by Michael MadaryIn this book, Michael Madary examines visual experience, drawing on both phenomenological and empirical methods of investigation. He finds that these two approaches -- careful, philosophical description of experience and the science of vision -- independently converge on the same result: Visual perception is an ongoing process of anticipation and fulfillment. Madary first makes the case for the descriptive premise, arguing that the phenomenology of vision is best described as on ongoing process of anticipation and fulfillment. He discusses visual experience as being perspectival, temporal, and indeterminate; considers the possibility of surprise when appearances do not change as we expect; and considers the content of visual anticipation. Madary then makes the case for the empirical premise, showing that there are strong empirical reasons to model vision using the general form of anticipation and fulfillment. He presents a range of evidence from perceptual psychology and neuroscience, and reinterprets evidence for the two-visual-systems hypothesis. Finally, he considers the relationship between visual perception and social cognition. An appendix discusses Husserlian phenomenology as it relates to the argument of the book.Madary argues that the fact that there is a convergence of historically distinct methodologies itself is an argument that supports his findings. With Visual Phenomenology, he creates an exchange between the humanities and the sciences that takes both methods of investigation seriously.
Visual Phenomenology
by Michael MadaryPhenomenological and empirical methods of investigating visual experience converge to support the thesis that visual perception is an ongoing process of anticipation and fulfillment. In this book, Michael Madary examines visual experience, drawing on both phenomenological and empirical methods of investigation. He finds that these two approaches—careful, philosophical description of experience and the science of vision—independently converge on the same result: Visual perception is an ongoing process of anticipation and fulfillment.Madary first makes the case for the descriptive premise, arguing that the phenomenology of vision is best described as on ongoing process of anticipation and fulfillment. He discusses visual experience as being perspectival, temporal, and indeterminate; considers the possibility of surprise when appearances do not change as we expect; and considers the content of visual anticipation. Madary then makes the case for the empirical premise, showing that there are strong empirical reasons to model vision using the general form of anticipation and fulfillment. He presents a range of evidence from perceptual psychology and neuroscience, and reinterprets evidence for the two-visual-systems hypothesis. Finally, he considers the relationship between visual perception and social cognition. An appendix discusses Husserlian phenomenology as it relates to the argument of the book.Madary argues that the fact that there is a convergence of historically distinct methodologies itself is an argument that supports his findings. With Visual Phenomenology, he creates an exchange between the humanities and the sciences that takes both methods of investigation seriously.
Visual Politics and North Korea: Seeing is Believing (Interventions)
by David ShimIn the realm of international relations, there are seemingly few states like North Korea. Whether it is the country’s human rights situation, its precarious everyday life or its so-called foreign policy of coercion and nuclear brinkmanship, no matter what this ‘pariah’ nation says and does it affects the state and stability of regional and global politics. But what do we know about North Korea and how do we come to know it? This book argues that visual imagery plays a decisive role in this operation. By discussing two exemplary areas – everyday photography and satellite imagery – the book takes into account the role of images in the way that particular issues related to North Korea are understood in contemporary geopolitics. Images work. They do something by evoking a particular perspective of what is shown in them, allowing only specific ways of seeing and knowing. In this sense, images are deeply political. Individual methodological usages in the book can provide a procedural basis from which to start or rethink further studies on visuality, both in IR and beyond. It also opens an innovative path for future studies on East Asia, making the book attractive to a range of specialists and thus holding an appeal beyond the boundaries of a single discipline.
Visual Reasoning with Diagrams
by Sun-Joo Shin Amirouche MoktefiLogic, the discipline that explores valid reasoning, does not need to be limited to a specific form of representation but should include any form as long as it allows us to draw sound conclusions from given information. The use of diagrams has a long but unequal history in logic: The golden age of diagrammatic logic of the 19th century thanks to Euler and Venn diagrams was followed by the early 20th century's symbolization of modern logic by Frege and Russell. Recently, we have been witnessing a revival of interest in diagrams from various disciplines - mathematics, logic, philosophy, cognitive science, and computer science. This book aims to provide a space for this newly debated topic - the logical status of diagrams - in order to advance the goal of universal logic by exploring common and/or unique features of visual reasoning.
Visual Representations in Science: Concept and Epistemology (History and Philosophy of Technoscience)
by Nicola MößnerVisual representations (photographs, diagrams, etc.) play crucial roles in scientific processes. They help, for example, to communicate research results and hypotheses to scientific peers as well as to the lay audience. In genuine research activities they are used as evidence or as surrogates for research objects which are otherwise cognitively inaccessible. Despite their important functional roles in scientific practices, philosophers of science have more or less neglected visual representations in their analyses of epistemic methods and tools of reasoning in science. This book is meant to fill this gap. It presents a detailed investigation into central conceptual issues and into the epistemology of visual representations in science.
Visual Research Methods in Educational Research
by Julianne Moss Barbara PiniHave you noticed there is a burgeoning take up of visual research in education? Are you considering using visual research as part of your next research project or revitalising your research methods course? For researchers who are new to the field of VRMs in education there is little critical literature on the subject. This book addresses the gap in the literature and brings together some of the leading educational researchers engaging and reflecting on the visual from Australia, the UK and Canada. Encapsulated in a single volume, this book sets out theoretically grounded discussions of the possibilities and challenges of the approach for educational researchers around four key themes: images of schooling, performing pedagogy, power and representation and ethical issues in educational research.
Visual Rhetorics of Communist Romania: Life Under the Totalitarian Gaze
by Adriana CordaliVisual Rhetorics of Communist Romania: Life under the Totalitarian Gaze offers personal accounts and theoretical insight into the Cold War era when little information about life beyond the Iron Curtain could transpire to the West. Adriana Cordali develops a unique visual rhetorical theory for analyzing communist totalitarian propaganda and the resistance to it, and reveals the deliberate, strategic in/visibilities the rhetoric of power engaged in. Building upon the local history, ideology, and politics of the regime imposed after WWII, she identifies propaganda’s rhetorical features, visual tropes, and symbols and examines striking photographs and print materials from Ceaușescu’s regime (1966-1989) and the time of regime change (1989-1990), as well as an award-winning Romanian film that depicts women’s life at the time. Converging visual rhetoric and culture with history and politics, Visual Rhetorics of Communist Romania is a first book of this kind and will interest readers of rhetoric and communication, visual rhetoric, and political discourse in the region.
Visual Thinking
by Rudolf ArnheimFor thirty-five years Visual Thinking has been the gold standard for art educators, psychologists, and general readers alike. In this seminal work, Arnheim, author of The Dynamics of Architectural Form, Film as Art, Toward a Psychology of Art, and Art and Visual Perception, asserts that all thinking (not just thinking related to art) is basically perceptual in nature, and that the ancient dichotomy between seeing and thinking, between perceiving and reasoning, is false and misleading. An indispensable tool for students and for those interested in the arts.
Visual Thought in Russian Religious Philosophy: Pavel Florensky's Theory of the Icon (Routledge Focus on Religion)
by Clemena AntonovaThis book considers a movement within Russian religious philosophy known as "full unity" (vseedinstvo), with a focus on one of its main representatives, Pavel Florensky (1882–1937). Often referred to as "the Russian Leonardo," Florensky was an important figure of the Russian religious renaissance around the beginning of the twentieth century. This book shows that his philosophy, conceptualized in his theory of the icon, brings together the problem of the "religious turn" and the "pictorial turn" in modern culture, as well as contributing to contemporary debates on religion and secularism. Organized around the themes of full unity and visuality, the book examines Florensky’s definition of the icon as "energetic symbol," drawing on St. Gregory Palamas, before offering a theological reading of Florensky’s theory of the pictorial space of the icon. It then turns to Florensky’s idea of space in the icon as Non-Euclidean. Finally, the icon is placed within wider debates provoked by Bolshevik cultural policy, which extend to current discussions concerning religion, modernity, and art. Offering an important contribution from Russian religious philosophy to issues of contemporary modernity, this book will be of interest to scholars of religious philosophy, Russian studies, theology and the arts, and the medieval icon.
Visualization and Interpretation: Humanistic Approaches to Display
by Johanna DruckerAn analysis of visual epistemology in the digital humanities, reorienting the creation of digital tools within humanities contexts.In the several decades since humanists have taken up computational tools, they have borrowed many techniques from other fields, including visualization methods to create charts, graphs, diagrams, maps, and other graphic displays of information. But are these visualizations actually adequate for the interpretative approach that distinguishes much of the work in the humanities? Information visualization, as practiced today, lacks the interpretivist frameworks required for humanities-oriented methodologies. In this book, Johanna Drucker continues her interrogation of visual epistemology in the digital humanities, reorienting the creation of digital tools within humanities contexts.
Vita contemplativa: Elogi de la inactivitat
by Byung-Chul HanUna poderosa crida a abandonar la vida hiperactiva per recuperar l'equilibri i la riquesa interior. Estem perdent la nostra capacitat de no fer res. La nostra existència és absorbida per l'activitat i, per tant, completament explotada. Atès que només percebem la vida en termes de rendiment, tendim a entendre la inactivitat com un dèficit, una negació o una absència d'activitat quan es tracta, ben al contrari, d'una interessant capacitat independent. Byung-Chul Han indaga en els beneficis, l'esplendor i la màgia de l'ociositat i dissenya una nova forma de vida que inclogui moments contemplatius amb els quals poder afrontar la crisi actual de la nostra societat i frenar la nostra pròpia explotació i la destrucció de la naturalesa.
Vita Contemplativa: In Praise of Inactivity
by Byung-Chul HanIn our busy and hurried lives, we are losing the ability to be inactive. Human existence becomes fully absorbed by activity – even leisure, treated as a respite from work, becomes part of the same logic. Intense life today means first of all more performance or more consumption. We have forgotten that it is precisely inactivity, which does not produce anything, that represents an intense and radiant form of life. For Byung-Chul Han, inactivity constitutes the human. Without moments of pause or hesitation, acting deteriorates into blind action and reaction. When life follows the rule of stimulus–response and need–satisfaction, it atrophies into pure survival: naked biological life. If we lose the ability to be inactive, we begin to resemble machines that simply function. True life begins when concern for survival, for the exigencies of mere life, ends. The ultimate purpose of all human endeavour is inactivity. In a beautifully crafted ode to the art of being still, Han shows that the current crisis in our society calls for a very different way of life: one based on the vita contemplative. He pleads for bringing our ceaseless activities to a stop and making room for the magic that happens in between. Life receives its radiance only from inactivity.
Vita Sexualis: Karl Ulrichs and the Origins of Sexual Science
by Ralph M. LeckKarl Ulrichs's studies of sexual diversity galvanized the burgeoning field of sexual science in the nineteenth century. But in the years since, his groundbreaking activism has overshadowed his scholarly achievements. Ulrichs publicly defied Prussian law to agitate for gay equality and marriage, and founded the world's first organization dedicated to the legal and social emancipation of homosexuals. Ralph M. Leck returns Ulrichs to his place as the inventor of the science of sexual heterogeneity. Leck's analysis situates sexual science in a context that includes politics, aesthetics, the languages of science, and the ethics of gender. Although he was the greatest nineteenth-century scholar of sexual heterogeneity, Ulrichs retained certain traditional conjectures about gender. Leck recognizes these subtleties and employs the analytical concepts of modernist vita sexualis and traditional psychopathia sexualis to articulate philosophical and cultural differences among sexologists. Original and audacious, Vita Sexualis uses a bedrock figure's scientific and political innovations to open new insights into the history of sexual science, legal systems, and Western amatory codes.