Proceedings of the 11th Interdisciplinary Symmetry Congress-Festival of the International Society for the Interdisciplinary Study of Symmetry. Special Theme: “Tradition and Innovation in Symmetry - Katachi”.

The Language of Symmetry is a re-assessment of the structure and reach of symmetry, by an interdisciplinary group of specialists from the arts, humanities, and sciences at Oxford University. It explores, amongst other topics order and chaos in the formation of planetary systems entropy and symmetry in particle physics group theory, fractals and self-similarity symmetrical structures in western classical music, and how biological systems harness disorder to create order. This book aims to open up the scope of (...) interdisciplinary work in the study of symmetry and is intended for scholars of any background - whether it be science, arts or philosophy. (shrink)

We find symmetry attractive. It is often an indicator of the deep structure of things, whether they be natural phenomena, or artificial. For example, the most fundamental conservation laws of physics are all based in symmetry. Similarly, the symmetries found in religious art throughout the world are intended to draw attention to deep spiritual truths. Not only do we find symmetry pleasing, but its discovery is often also surprising and illuminating as well. For these reasons, we are (...) inclined to think that symmetries are informative. On the other hand, symmetries represent a kind of invariance under transformation, i.e., redundancies. Redundancy, in turn, implies that the information content of a symmetrical structure or configuration is less than that of a similar nonsymmetrical structure. Symmetry, then, entails a reduction in information content. These considerations present us with somewhat of a paradox. On the one hand, many symmetries that we find in the world are surprising, and surprise indicates informativeness. On the other hand, the surprise value of information arises because it presents us with the unexpected or improbable, but symmetries, far from creating the unexpected, ensure that the known can be extended through invariant transformations. How can this paradox be resolved? Rhythmic entrainment is the formation of regular, predictable patterns in time and/or space through interactions within or between systems (resulting in symmetry). The result of entrainment is a simplification of the entrained system. It is the complement to symmetry breaking. Entrainment can be either forced or spontaneous, with the spontaneous form being uncontrollable. It results from processes that are called self-organising. Interestingly, spontaneous entrainment require much less power to form and maintain. It is also the source of levels in systems. I finish with some observations for social systems. (shrink)

Cognitive tests show that identity and symmetry reflect intellect. 'Guess of other guess' creates various symmetries, while only one is right: 'absolute symmetry', which can be outvoted by the majority. Prejudices result from differences between ME (my identity) and others. Unbiased judgement is symmetrical, always in the middle: neither in favor, nor against ME. Intelligence reduces prejudices, but the lack of opportunities can counterbalance it. That's why type of bias differs in various groups: people from war zones, people (...) in therapy, artists, etc.. "The law of values' equity" is a symmetrical principle redefining utility in economics, when people equate all their values. E.g. 2 children averagely rich, is better than one child rich and another poor. If 'a' is an average richness, and 'x' is a difference in richness, and Utility multiplies all values, then: a * a > (a - x) * (a + x), which is: a² > a² - x². It does not however imply egalitarianism, as it is still better to have both children rich than both average or poor. (shrink)

We find symmetry attractive. It interests us. Symmetry is often an indicator of the deep structure of things, whether they be natural phenomena, or the creations of artists. For example, the most fundamental conservation laws of physics are all based in symmetry. Similarly, the symmetries found in religious art throughout the world are intended to draw attention to deep spiritual truths. Not only do we find symmetry pleasing, but its discovery is often also surprising and illuminating (...) as well. For these reasons, we are inclined to think that symmetries are informative, and that symmetries contain information. On the other hand, symmetries represent a kind of invariance under transformation. Such invariance implies that symmetrical things contain redundancies. Redundancy, in turn, implies that the information content of a symmetrical structure or configuration is less than that of a similar nonsymmetrical structure. Symmetry, then, entails a reduction in information content. These considerations present us with somewhat of a paradox: On the one hand, many symmetries that we find in the world are surprising, and surprise indicates informativeness. On the other hand, the surprise value of information arises because it presents us with the unexpected or improbable, but symmetries, far from creating the unexpected, ensure that the known can be extended through invariant transformations. How can this paradox be resolved? (shrink)

The Logic & Structure project is about the language of mathematical logic and how it can be of use in the visual arts. It involves a conversation between a mathematical logician and a group of artists. The project is ongoing, and this is a report on its first two phases. This text has two parts. The first, “Logic”, is a short introduction to certain aspects of logic, as it was presented to the participants. The second part, “Structures”, describes some of (...) the outcomes.The inspiration for the project comes from modern model theory whose advances revealed the extent to which formal methods may be helpful in describing and analysing mathematical structures. While the structures that are studied are often immensely complex, the formal language in which their properties can be expressed is simple. Its syntax is precisely defined and well understood, and this understanding often successfully guides us in our explorations of the rich world of mathematical objects. Our goal is to see the extent to which a similar approach could be of value when talking about works of art as structures. To this end, one could try to describe existing art objects in terms of suitably chosen formal languages, but we follow a reverse route. The language is described first, and the participating artists are asked to come up with artwork in which formal elements and their relations are chosen in advance, making it easier to identify those features of the created pieces that can be formally expressed. In other words, we are not thinking of applying formal methods to create art; rather we want to begin with samples that can serve as material for discussion. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:The Journal of Aesthetic Education 37.4 (2003) 32-41 [Access article in PDF] Does Art Education Dream of Disneyland? [Figures] Introduction What image can we present when challenged to illustrate art education in the form of a scheme? The word "illustration" literally means to build understanding through an explanatory diagram. In art education or anything [End Page 32] else, the use of a visual image to understand a certain system (...) can be interpreted as a question of human sensitivity and recognition. Translating minute nuances or peculiarities of information into a vibrant image is, however, a confusing and difficult exercise. In this essay, I attempt to portray those elements crucial to the teaching and learning process of art education using Disneyland as a structural as well as a functional metaphor. The Happiest Place on Earth? Disneyland is depicted as "a dream world" and "the happiest place on earth." As described in various incisive essays, Disneyland is a symbol of modern American culture, an ultimate form of the consumer society or the hegemony of entertainment. 1 To start with, the structural elements of this epitome of Walt Disney's vision are outlined.Walt Disney created Main Street USA (the World Bazaar) to make all visitors feel as if they are the leading character in a Disney film, walking through the main street of life. He attempted to remove the ugliness of everyday life from his dream space by eradicating the back streets of the real world. The design of the buildings along Main Street originates from Walt Disney's hometown. The sense of distance within the Disney complex is enhanced by using a smaller scale for the upper stories of buildings and a progressively narrowing street.Sleeping Beauty's Castle (or Cinderella Castle at Tokyo Disneyland) lies beyond Main Street and is modeled on Neuschwanstein Castle in Fussen,South Bayern, Germany. The road leading to the castle ascends slightly which amplifies the anticipation factor for visitors. Sleeping Beauty's Castle is the centerpiece of Disneyland and functions as the hub to guide visitors to various lands. Several attractive spaces radiate from this hub, forming a total of six areas.On the extension line from the Entrance via Sleeping Beauty's Castle lies Fantasyland where Walt Disney has reproduced the world of animation based on European legends and fables. Toontown lies beyond Fantasyland. This is a world of familiar characters, such as Mickey, Minnie, and Goofy. Traveling clockwise, Tomorrowland is next where all kinds of imaginary worlds await visitors. Adventureland, on the opposite side of Main Street, offers worlds of different cultures and spaces for adventure. Beyond Adventureland lies Westernland, designed to invite visitors to return to the Wild West.It is possible to form a hypothesis that there are three axes connecting the six lands. Those axes run through Sleeping Beauty's Castle that acts as the hub and two opposing areas on the same axis with the Castle being the point of symmetry.The first axis could be the axis of "reality." If Main Street is considered to be the "crawling approachway" from the everyday sphere to dreamland,Fantasyland, offering playful space of extraordinary imagination, is set [End Page 33] against the ordinary space for everyday life. The second axis is the axis of "relationship" which connects individual persons to society. Toontown presents a world of fraternity and is a place where people bonded by kinship or friendship can trust each other and feel at ease. Frontierland, located on the opposite side of this axis creates a solitary space where people leave family and friends for the adventure of traveling to unknown lands. The third and final axis is that of "time" from the past to the future. Tomorrowland is a future world based on fantasy and imagination where prophecies becomereality. On the opposite side of this axis lies Westernland embodying the history and traditions of the American past.It is possible to regard each area of Disneyland, structured by these different worlds, as a metaphor to reflect the basic content and structure of art education in the context of the general curriculum. In fact... (shrink)

Many activities of daily living require that we physically interact with one or more objects. Object manipulation provides an intriguing domain in which the presence and extent of manual asymmetries can be studied on a motor planning and a motor execution level. In this literature review we present a state of the art for manual asymmetries at the level of motor planning during object manipulation. First, we introduce pioneering work on grasp posture planning. We then sketch the studies investigating the (...) impact of future task demands during unimanual and bimanual object manipulation tasks in healthy adult populations. In sum, in contrast to motor execution, there is little evidence for hand-based performance differences in grasp posture planning. We discuss potential reasons for the lack of manual asymmetries in motor planning and outline potential avenues of future research. (shrink)

Why did Homo erectus begin to craft symmetric tools? A parsimonious account assumes that preference for symmetry is inherent in all visual systems. This preference can be explained by a broader preference for perceptual fluency. The perceptual fluency account does not assume that selection for mate health or the production of symbolic art is a prerequisite for symmetry preference.

Background: Previous studies have investigated the effects of dance interventions on Parkinson’s motor and non-motor symptoms in an effort to develop an integrated view of dance as a therapeutic intervention. This within-subject study questions whether dance can be simply considered a form of exercise by comparing a Dance for Parkinson’s class with a matched-intensity exercise session lacking dance elements like music, metaphorical language, and social reality of art-partaking.Methods: In this repeated-measure design, 7 adults with Parkinson’s were tested four times; before (...) and after a Dance for Parkinson’s class, as well as before and after a matched-intensity exercise session. Physiological measures included heart rate and electrodermal activity. Self-reported affect and body self-efficacy were collected. Gait symmetry and dual task cost were analyzed using the 6 min walking test and Timed-Up-and-Go test, respectively.Results: Average heart rate was the same for both conditions, while electrodermal activity was higher during Dance for Parkinson’s. Significant differences were found in body self-efficacy, beauty subscale, symmetry of gait, and dual task performance.Conclusion: Dance, compared to an exercise intervention of matched intensity, yields different outcomes through the means of intrinsic artistic elements, which may influence affective responses, the experience of beauty, self-efficacy, and gait performance. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:The Journal of Aesthetic Education 37.4 (2003) 32-41 [Access article in PDF] Does Art Education Dream of Disneyland? [Figures] Introduction What image can we present when challenged to illustrate art education in the form of a scheme? The word "illustration" literally means to build understanding through an explanatory diagram. In art education or anything [End Page 32] else, the use of a visual image to understand a certain system (...) can be interpreted as a question of human sensitivity and recognition. Translating minute nuances or peculiarities of information into a vibrant image is, however, a confusing and difficult exercise. In this essay, I attempt to portray those elements crucial to the teaching and learning process of art education using Disneyland as a structural as well as a functional metaphor. The Happiest Place on Earth? Disneyland is depicted as "a dream world" and "the happiest place on earth." As described in various incisive essays, Disneyland is a symbol of modern American culture, an ultimate form of the consumer society or the hegemony of entertainment. 1 To start with, the structural elements of this epitome of Walt Disney's vision are outlined.Walt Disney created Main Street USA (the World Bazaar) to make all visitors feel as if they are the leading character in a Disney film, walking through the main street of life. He attempted to remove the ugliness of everyday life from his dream space by eradicating the back streets of the real world. The design of the buildings along Main Street originates from Walt Disney's hometown. The sense of distance within the Disney complex is enhanced by using a smaller scale for the upper stories of buildings and a progressively narrowing street.Sleeping Beauty's Castle (or Cinderella Castle at Tokyo Disneyland) lies beyond Main Street and is modeled on Neuschwanstein Castle in Fussen,South Bayern, Germany. The road leading to the castle ascends slightly which amplifies the anticipation factor for visitors. Sleeping Beauty's Castle is the centerpiece of Disneyland and functions as the hub to guide visitors to various lands. Several attractive spaces radiate from this hub, forming a total of six areas.On the extension line from the Entrance via Sleeping Beauty's Castle lies Fantasyland where Walt Disney has reproduced the world of animation based on European legends and fables. Toontown lies beyond Fantasyland. This is a world of familiar characters, such as Mickey, Minnie, and Goofy. Traveling clockwise, Tomorrowland is next where all kinds of imaginary worlds await visitors. Adventureland, on the opposite side of Main Street, offers worlds of different cultures and spaces for adventure. Beyond Adventureland lies Westernland, designed to invite visitors to return to the Wild West.It is possible to form a hypothesis that there are three axes connecting the six lands. Those axes run through Sleeping Beauty's Castle that acts as the hub and two opposing areas on the same axis with the Castle being the point of symmetry.The first axis could be the axis of "reality." If Main Street is considered to be the "crawling approachway" from the everyday sphere to dreamland,Fantasyland, offering playful space of extraordinary imagination, is set [End Page 33] against the ordinary space for everyday life. The second axis is the axis of "relationship" which connects individual persons to society. Toontown presents a world of fraternity and is a place where people bonded by kinship or friendship can trust each other and feel at ease. Frontierland, located on the opposite side of this axis creates a solitary space where people leave family and friends for the adventure of traveling to unknown lands. The third and final axis is that of "time" from the past to the future. Tomorrowland is a future world based on fantasy and imagination where prophecies becomereality. On the opposite side of this axis lies Westernland embodying the history and traditions of the American past.It is possible to regard each area of Disneyland, structured by these different worlds, as a metaphor to reflect the basic content and structure of art education in the context of the general curriculum. In fact... (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Philosophy and Rhetoric 39.4 (2006) 333-339MuseSearchJournalsThis JournalContents[Access article in PDF]On Persuasion, Identification, and Dialectical SymmetryKenneth BurkeEdited with introduction by James ZappenNote: This untitled paper was found in two typed copies among the books and papers in Kenneth Burke's personal library in July 2006—one copy folded into a heavily used Loeb edition of Aristotle's Rhetoric, the other in a small file cabinet in the library.1 The two copies are nearly (...) identical carbon copies, probably typed by Burke's wife Libby; the original has not been found.2 The paper includes brief discussions of persuasion, identification, and dialectical symmetry (hence the current title), plus brief critiques of behaviorism and general semantics, with specific reference to Alfred Korzybski's notion of the structural differential. It was probably written in the mid-1940s, after the second edition of Korzybski's Science and Sanity and The Philosophy of Literary Form, both published in 1941; perhaps at roughly the same time as the more extended discussions of behaviorism and Korzybski in A Grammar of Motives, published in 1945; and before the full development of Burke's ideas about persuasion, identification, and dialectical symmetry in A Rhetoric of Motives, published in 1950. The paper might have been prepared for a public lecture or for circulation among Burke's literary friends, as a brief commentary on some of the key concepts in A Rhetoric of Motives, while he was completing A Grammar of Motives or perhaps shortly following its publication. If so, then it might have been written as late as 1947.3This paper suggests that Burke's concept of identification was in part a creative response to current issues in behaviorism and general semantics, formulated in sympathy with George Herbert Mead's observations on identification, communication, and community in Mind, Self, and Society and The Philosophy of the Act and in opposition to Korzybski's general semantics and his structural differential. Moreover, and more important, this paper suggests that the final section of A Rhetoric of Motives, titled simply "Order," is essential to a complete understanding of Burke's ideas about persuasion and identification since only in this last section does Burke show how competing points of view [End Page 333] might be reconciled in an ultimate identification via the dialectical symmetry that he traces through the long history of Platonic thought.4James P. Zappen Department of Language, Literature, and Communication Rensselaer Polytechnic Institute* * *What, in sum, would be the salient traits of Aristotle's Rhetoric?5 And what would be our attitude towards them?His "art" is constructed about his stress upon persuasion as the purpose of rhetoric. Hence he surveys the resources of rhetoric, to the end that one might use the best means available for a given situation. To narrow down the choice of means, he makes a division into kinds of oratory: deliberative (concerned with the expediency of steps still to be taken); forensic (concerned with the justice or injustice of past acts); and demonstrative or epideictic (concerned with praise and blame, primarily involving the present). But to be effective in any of these kinds, one must appeal to the opinions of one's audience—hence the lists of "topics" reviewing such opinions. First he considers the components of happiness, on the grounds that all men aim at happiness, hence this topic figures in all persuasion and dissuasion. For deliberative oratory specifically, he lists the topics naming men's opinions as to the good, the expedient, and their opposites (along with relevant observations on different forms of government). His topics for epideictic, dealing with praise and blame, comprise the things men consider virtuous and vicious. And his list of forensic topics has to do with the motives and effects of just and unjust acts. Also, there are such general topics as the possible and impossible, the more and the less, the likely and the unlikely.Enthymemes (deductions based on opinion) fit well with forensic, he says. Rhetorical induction (example) best suits the deliberative. And to epideictic, amplification (auxesis... (shrink)

Most "art and science" books focus on the science of perspective or the psychology of perception. Hidden Harmony does not. Instead, the book addresses the surprising common ground between physics and art from a novel and personal perspective. Viewing the two disciplines as creative processes, J. R. Leibowitz supplements existing and original research with illustrations to demonstrate that physics and art share guiding aesthetics and compositional demands and to show how each speaks meaningfully to the other. Leibowitz widens our experience (...) and understanding of both domains by exploring how concepts such as balance and re-balance, coherence and unity, and symmetry and "broken" symmetry affect and are affected by artistic vision and scientific principle. He reveals shared themes and understandings in each field and adroitly illustrates the parallels between the dabs of color and layers of images in a work of art and the particles of matter and packets of energy that compose the observable, physical world. Featuring examples of art images and complementary examples of physics concepts, this contemplative work helps us see art and physics as artists and physicists do. (shrink)

Greek philosophical tradition, not only the Aristotelian one, is strongly associated with proportion (Eco, 1993: 90). This principle of symmetry is generalisable; forasmuch as it is used as a normative rule in figurative arts. Nonetheless, the proportion for Ancient Greeks does not only describe a mathematical relation, but also represents a metaphysical principle. Thus, beauty is the measurement of the elements of the external form (in the case of tragedy, the meter, the symmetry of the parts, the number (...) of syllables, the number of verses) as well as the aesthetic harmony which the play transmits as total to the spectators (in the same case, the content must be neither superior nor inferior to the chosen form; otherwise the form would give the impression of grotesque or inadequate). (shrink)

Philosophers of science discuss whether theory selection depends on aesthetic judgments or criteria, and whether these putatively aesthetic features are genuinely extra-epistemic. As examples, judgments involving criteria such as simplicity and symmetry are often cited. However, other theory selection criteria, such as fecundity, coherence, internal consistency, and fertility, more closely match those criteria used in art contexts and by scholars working in aesthetics. Paying closer attention to the way these criteria are used in art contexts allows us to understand (...) some evaluative and developmental practices in scientific theory selection as genuinely aesthetic, enlarging the scope of the goals of science. (shrink)

The visual arts offer refreshing and novel resources through which to understand the representation, power, ideology and critique of law. This vibrantly interdisciplinary book brings the burgeoning field to a new maturity through extended close readings of major works by artists from Pieter Bruegel and Gustav Klimt to Gordon Bennett and Rafael Cauduro. At each point, the author puts these works of art into a complex dance with legal and social history, and with recent developments in legal and art theory. (...) Manderson uses the idea of time and temporality as a focal point through which to explore how the work of art engages with and constitutes law and human lives. In the symmetries and asymmetries caused by the vibrating harmonic resonances of these triple forces - time, law, art - lies a way of not only understanding the world, but also transforming it. (shrink)

All processes of measurement imply symmetry?breaking. Ambiguity is the coexistence of mutually incompatible aspects of the same structure. There are many examples of analogy and symmetry breaking in nature and in culture.

The article discusses the possibilities of the formal analysis of the fine-art painting composition on the basis of the classical definitions of beauty and computational aesthetics’ approaches of the second half of the 20th century he authors define the problem and consider solutions for the formalization of aesthetic perception in the context of aesthetic text, i.e., as part of the fine arts composition – a formal sequence of signs simply ordered in accordance with the syntactic rules’ system. The methodology of (...) the research is defined by the general semiotics, distinguishing semantics, syntax, and pragmatics of a sign, by the aesthetic analysis’ methods, ranging according to the author’s message aesthetics, receptive aesthetics, and text aesthetics, as well as by the computational analysis methods connected with neural network means of defining the images’ symmetry. The article reveals preconditions for the emergence and also the current state of computational aesthetics as an interdisciplinary branch of knowledge. Analyzing the problem from the perspective of philosophy, aesthetics, semiotics, and technology, the authors draw attention to the need to improve the computational aesthetics methods. Firstly, the existing methods do not always enable to describe the fine-art object adequately. Secondly, there exists the so-called reduction of aesthetic assertion transforming it into the assertion concerning the object’s external characteristics. As a result, the authors assume that the increasing complexity of the current mathematical models and the experts’ subjective assessment support will allow to reach a compromise solution that enables the development of computational aesthetics as a branch of knowledge. Enhancement and development of the mathematical models, taking into account the rules of semiotics and subjectivism of the human perception, is the relevant objective of computational analysis of the aesthetic fine-arts text. The results of the present research supports the classic statement regarding the underivability of semantic and pragmatic propositions from syntax. The research concludes that relevant objectives are to find a correlation between, one the one hand, the axes and points of symmetry, deriving from the neural simulation, and, on the other hand, aesthetic effect, emerging from the perception of fine-art paintings. (shrink)

이 연구는 공공성과 관련된 세 가지 개념인 한계, 경계, 임계 개념을 비교하는 것에서 시작한다. 공공성을 상상할 수 있는 개별 주체의 비판적 능력에 대해 ‘한계’ 개념을 적용할 수 있고, 그러한 주체들이 비판적으로 서로의 인식을 점검하는 과정에 대해서는 ‘경계’ 개념을 적용할 수 있다. 소위 공공성은 이 상호성이 성립되는 경계 개념부터 등장하는데, 주체와 타자가 서로 대등한 관계에서 공공성을 형성하므로, 경계 개념이 적용되는 공공성을 대칭적 공공성이라 할 수 있다. 하지만 개인의 비판적 인식과 그 인식의 상호 점검을 넘어서는 또 다른 인식 방법이 있다. 소위 타자 (...) 중심의 인식으로서, 타자의 등장으로 인해 주체의 인식 능력이 무력화되는 데서 출발하는 인식이다. 이 연구는 이를 ‘임계’라는 개념으로 규정한다. 배제되어 취약한 타자들이 기존 권리 주체들에게 제기하는 공적 긴장을 임계적 공공성이라 한다. 임계적 공공성은 비대칭적 관계에서 출발한다. 이 연구는 임계적 공공성을 근본적 공공성으로 간주한 후, 이를 공공예술을 위한 토대로 삼는다.BR 공공예술은 기존 예술계의 자장을 넘어 일상의 공적 장소와 가치에 개입하고, 새로운 공적 가치를 창출하기 위해 예술을 수단으로 삼는다. 최근 새로운 예술 사조로 급부상한 공공예술은 예술적 완성도도 중요하지만, 예술적 개입이 창출한 공적 효과나 가치에 더 무게를 둔다. 공공예술은 자신의 작업이 얼마나 공적인 특성을 가지고 있느냐에 따라 그 성/패가 좌우된다. 따라서 공공예술은 공공성에 대한 고려 없이 공공예술의 미적 가치를 비평할 수 없다. 이 연구는 다양한 공공예술의 사례를 들어 공공예술과 임계적 공공성의 관계를 추적한 후, 공공예술의 미학에서 핵심이 되어야 할 개념을 추출한다. 일찍이 공공예술과 관련하여 비평적 접근은 있었으나, 미학 이론적 접근은 없었다는 점에서, 그리고 공공예술과 공공성의 관계를 추적해온 연구자의 기존 연구를 종합하여 공공예술의 미학을 구축하기 위한 첫 시도라는 점에서, 이 연구는 나름의 의의를 갖는다. (shrink)

Micrographs obtained using different instrumental techniques are presented with the purpose of demonstrating their artistic qualities. The quality of uniformity currently dominates the aesthetic assessment in scientific practice and is discussed in relation to the classical appreciation of the interplay between symmetry and asymmetry in arts. It is argued that scientific and artistic qualities have converged and inspired each other throughout millennia. With scientific discoveries and inventions enriching the world of communication, broadening the space for artistic creativity and making (...) artistic products more accessible than ever, science inevitably influences artistic creativity. On the other hand, the importance of aesthetic principles in guiding scientific conduct has been appreciated by some of the most creative scientific minds. Science and arts can be thus considered as parallel rails of a single railroad track. Only when precisely coordinated is the passing of the train of human knowledge enabled. The presented micrographs, occupying the central part of this discourse, are displayed with the purpose of showing the rich aesthetic character of even the most ordinary scientific images. The inherent aesthetic nature of scientific imagery and the artistic nature of scientific conduct have thus been offered as the conclusion. (shrink)

The book Hidden Harmony—The Connected Worlds of Physics and Art by J.R. Leibowitz is critically reviewed. The book is intended for a general audience and does not assume prior knowledge of physics or the arts.

Why are the Germans good at music, whereas the Dutch excel in painting? What are the reasons for the outstanding draftsmanship of Australian Aboriginals, and why does this skill seem absent among West African peoples, who appear concerned rather with sculpture? Could it be that the Japanese do not share the European preference for symmetry in decorative art? Moreover, why do tastes in the visual arts, music, and literature change so noticeably throughout history? Is it possible that, despite differences (...) across time and space, there are features that each of humanity's arts share?These are some of the questions that in the late nineteenth-century were going through the mind of the German scholar Ernst Grosse .. (shrink)

Let us look first at poetry. It is well known that by the fifteenth century, lyric poetry had undergone a radical transformation; the early lyric fluidity and formal variability had hardened into the nonlyric and even, some maintain, antilyric forms fixes which characterize the poetic formalism of late medieval France. Dispensing with the details of how and why this occurred, the essential point is that by the end of the Middle Ages, the poet in France and Burgundy saw himself as (...) an artisan of words, not as a singer.6 He refers to himself as a craftsman , and it is plain, sometimes painfully so, to anyone who reads the works that the rhétoriqueur is, indeed, an artisan of forms—or, if you will, an architecte de la parole, a specialist in verbal matter. He works words, sounds, metric and strophic forms into intricate patterns and arranges his elaborate designs in blocks of exact and harmonious symmetry. He is, in fact, from Machaut on, a virtuoso of the verbal equivalent of the architectural art of carrelage which adorned the princely château in which he worked and lived. No one familiar with the period will avoid noticing the strikingly similar types of patters in the poet’s works and in his surroundings.I have gathered elsewhere the visual documentation which bears out Zumthor’s suggestions quoted above with respect to the meticulously constructivist mentality of the Franco-Burgundian artisan. But the analogies I found are much more than perceptual. It is true that the elaborate designs on the walls, floors, ceilings, windows, woodwork, and so forth of the early Renaissance château are, indeed, composed of intricate blocks of material; but their function is not merely decorative , it is also narrative, with emblematic motifs and allegorical figures arrayed in linear patterns of “visual” discourse—the invariable “discours de la gloire” which silently proclaims the magnificence of the patron prince and proprietor of the château .7 6. A summary of internal and external factors in the transformation of lyric to Rhetoric is provided in my review of Die musikalische Erscheinungsform der Trouvèrepoesie by Hans-Herbert S. Räkel , in Romance Philology 34 : 250-58.7. This following collage of fragments from ML was constructed ôto serve as commentary on photographs of tile designs compared with verbal texts, in an earlier version of this paper , from which the examples in figs. 1-4 are taken.Culte de l’objet subtilement travaillé, au-delà de toute fonctionnalité primaire *** primat du labeur ardu, patient, du difficile, de l’inattendu *** les mots mêmes semblent travaillés d’un besoin de scientificité fictive, d’anoblissement par le savoir *** les … mots ne sont plus que les particules d’une parole dont la seule signification est globale *** matériau émancipé des contraintes de la phrase, transposé sur un plan où le signe devient le nom vide de ce signe *** goût du bricolage plutôt que de l’industrie; … du bariolage plus que du fondu et de la nuance; de l’équilibre numéral des parties plus que de la synthèse; du multiple plus que de l’un. Outil forgé martelé d’ “aornures” sans fonction utilitaire; enchâssements cubiques, coniques, pyramidaux, cruciformes du bâtiment … meubles marquetés, forrés de tiroirs minuscules et secrets [and so forth].For the iconography of these examples , see Emile Amé, Less Carrelages émaillés du Moyen Age et de la Renaissance , pp. 61-108. Jonathan Beck is associate professor of French at the University of Arizona. He is the author of Théâtre et propaganda aux débuts de la Réforme , a sequel to his edition and study, Le Concil de Basle: Le Origines du theater réformiste et partisan en France. (shrink)

Graphic pattern (e.g. geometric design) and number-based code (e.g. digital sequencing) can store and transmit complex information more efficiently than referential modes of representation. The analysis of the two genres and their relation to one another has not advanced significantly beyond a general classification based on motion-centred geometries of symmetry. This article examines an intriguing example of patchwork coverlets from the maritime societies of Oceania, where information referencing a complex genealogical system is lodged in geometric designs. By drawing attention (...) to the interplay of graphic pattern and number-based code and its role in the knowledge economies of maritime societies, the article offers new insight into possible ways of designing a digital informational surface that captures the behaviour of an operational system, allowing both for differentiation and integration. (shrink)

Music, as sung and listened to, has been described in many a tale as powerful and transformative. Yet, the important question is not so much if that claim is true or whether it may be verified, but what kind of power and transformation are alluded to in those mythical and literary sources? Taking these symbolic claims and elaborating on their possible meaning, alongside thinkers such as Carolyne Abbate or Roland Barthes, proceeds to find ways in which these claims may suggest (...) different roles that music and singing play in human lives. As much as current musicological and anthropological academic narratives point to the power and its negotiation in society, there is more to singing voices’ charms than this. The author points to an important transformation that happens when the human existential qualities found in the voice’s imperfections (its materiality) are matched with the music’s aesthetic qualities (its beauty, sublimity, its symmetry, its impression) to transform the listener and make her listen. (shrink)

Art design is a visual form and spiritual bearer of culture that ensures universal language for communication between civilizations of the world. Competitiveness of the nation is not only a reflection of its economic power, but what is more important, recognition of its culture. Chinese patterns were used throughout the development of Chinese nation and imparted with spiritual connotations, forming a unique Chinese “culture of ornaments”, which is also an artistic sublimation of Chinese national culture. Lotus pattern is one of (...) the earliest traditional ornaments that emerged in China. Throughout its entire history, it turned into a visual symbol that represents commemoration and aesthetic value of the Chinese traditional culture, having a distinct shape and meaning. This article analyzes the peculiarities of localization of the Ancient Chinese lotus pattern, as well as the question of “folk aesthetics” as the major driving force for the consistent development of the means of creating such images. The author examines the main determinants of the Chinese philosophy of design, highlighting such key factors as the artistic consciousness of the Chinese people, “botanical principle” in visual art, aesthetic perception of symmetry and balance in the image, as well as the peculiarities of historical milestones in the development of Chinese floral ornament. The author summarizes the considered aspects with regards to integration of the traditional and modern design. (shrink)

This chapter contains sections titled: Some Issues in the Philosophy of Film Film Narration: Symmetry or Asymmetry? The A Priori Argument Three Models of Implicit Cinematic Narrators Absurd Imaginings and Silly Questions Literary Narrators Medium‐Specific Explanations.

The author has had a lifelong interest in design and its application. In this book he shows how the perceptions about the nature of the universe inform the art of their times, for example the form and fluidity of primitive art or the crystalline order of Islamic patterns.

A reciprocal symmetry between art and culture, the reductionism and the impoverishment of the artistic practices are all consequences of the establishment of the new conceptualist paradigm in art since the 60s. Nespolo’s artistic production in that period exemplifies this features being thus conceivable as a variant of conceptualism since he adopts its new experimental rules mixing them with the traditional ones of the visual artistic paradigm.

Does the universe embody beautiful ideas? Artists as well as scientists throughout human history have pondered this "beautiful question." With Nobel laureate Frank Wilczek as your guide, embark on a voyage of related discoveries, from Plato and Pythagoras up to the present. Wilczek's groundbreaking work in quantum physics was inspired by his intuition to look for a deeper order of beauty in nature. In fact, every major advance in his career came from this intuition: to assume that the universe embodies (...) beautiful forms, forms whose hallmarks are symmetry--harmony, balance, proportion--and economy. There are other meanings of "beauty," but this is the deep logic of the universe--and it is no accident that it is also at the heart of what we find aesthetically pleasing and inspiring. As he reveals here, this has been the heart of scientific pursuit from Pythagoras, the ancient Greek who was the first to argue that "all things are number," to Galileo, Newton, Maxwell, Einstein, and into the deep waters of twentieth-century physics. Gorgeously illustrated, A Beautiful Question is a mind-shifting book that braids the age-old quest for beauty and the age-old quest for truth into a thrilling synthesis. Yes: the world is a work of art, and its deepest truths are ones we already feel, as if they were somehow written in our souls.--From publisher description. (shrink)

Le mot symétrie signifie « avec mesure » et implique une idée d’harmonie, d’équilibre. Au cours des siècles, les définitions de la symétrie ont évolué, dans les arts comme dans la science. Alors que la véritable symétrie n’existe pas dans la nature, Jacques Nicolle se propose d’expliquer ici comment s’est imposée à nous la notion de symétrie.

Preface -- Part I: Philosophical logic and philosophy of language -- Rules versus theorems : a new approach for mediation -- Between intuitionistic and two-valued logic -- On the relation between the partition of a whole into parts and the attribution of properties to an object -- Basic objectives of dialogic logic in historical perspective -- Pragmatic and semiotic prerequisites for predication : a dialogue model -- Pragmatics and semiotics : the peircean version of ontology and epistemology -- Intentionality and (...) its language-dependency -- Meaning postulates and rules of argumentation : remarks concerning the pragmatic tie between meaning (of terms) and truth (of propositions) -- What do language games measure? -- Features of Indian logic -- Part II: Methods in philosophy, in art, and in science -- The concept of science : some remarks on the methodological issue construction versus description in the philosophy of science -- Is and ought revisited -- Competition and cooperation : are they antagonistic or complementary? -- Another version of methodological dualism -- The pre-established harmony between the two Adams -- On the way to conceptual and perceptual knowledge -- Self and other : remarks on human nature and human culture -- On the concept of symmetry -- Procedural principles of the Eerlangen School : on the interrelation between the principles of method, of dialogue, and of reason. (shrink)

In his book A History of the Culture of the Modern Period, the eminent scholar Egon Friedell wrote concerning Descartes's influence in seven-teenth-century France that all the efforts of the great philosopher's critics notwithstanding, "his school inexorably extended its influence not only through the ‘occasionalists,’ as his closest disciples and followers in philosophy were called, and through the remarkable logic of the Port-Royal school The Art of Thinking and Boileau's tone-setting work The Poetic Art: rather, all of France, headed by (...) the "Sun King," who at one time had banned Descartes's works, became his school. The state, economy, theater, architecture, religious affairs, strategy, and the art of gardening all became Cartesian. Descartes reigned unrestricted, as a sovereign, in all things: in tragedy, where the passions struggled with one another; in comedy, where algebraic formulas were devised for human characters; in the area around Versailles, dominated by the abstract symmetry of gardens; in the analytic methods for waging war and running the economy; and in the so to speak deductive ritual of hairstyles and manners, dances and genteel conversation. One can even say that to this day every Frenchman is a born Cartesian.". (shrink)

The vocabulary of representation is better suited to an understanding of historiography than the vocabularies of description and interpretation. Since both art and historiography represent the world, they are closer to science than are criticism and the history of art because the interpretation of meaning is the specialty of the latter two fields. Historiography is less secure in its attempt to represent the world than art is; historiography is more artificial, more an expression of cultural codes than art itself. Historiography (...) is a suitable paradigm for studying certain philosophical problems, particularly epistemology, or codified representation. Representation always requires the presence of two sets of non-referential logical dummies; disturbing the symmetry between these logical dummies gives rise to the position of realism and idealism. Epistemology is strongly inclined to disturb this symmetry. The parallels between recent developments in art and those in historiography demonstrate how much historiography is part of the contemporary cultural world. The deficiencies of modern philosophy of history can largely be explained by its tendency to neglect the cultural significance of the writing of history. (shrink)

Auf der Suche nach objektiver Wahrheit wurde in den Wissenschaften das Prinzip der Relationalitat popular: Gegenstandsbereiche gleich welcher Art werden als reine Beziehungsgeflechte beschrieben, nach dem Vorbild der Mathematik (diese Notwendigkeit entstand nicht zuletzt durch die Relativitatstheorie). Um Reales theoretisch zu erfassen, etwa um Dinge zahlen zu konnen, braucht man ein Identitatsprinzip fur Gegenstande. Das formal beste und einzig universelle ist die Identitat der Ununterscheidbaren. In Verbindung mit dem modernen Strukturalismus fuhrt dies aber zum geisterhaften Verschwinden realer Dinge in der (...) Beschreibung, wenn beziehungsmassig Symmetrie vorliegt. Objektive Beschreibungen erfassen also nur asymmetrische Strukturen korrekt. Manches Reale wird somit nicht objektiv erfasst.". (shrink)

In lieu of an abstract, here is a brief excerpt of the content:The Journal of Aesthetic Education 38.1 (2004) 78-88 [Access article in PDF] Remembering Beauty:Reflections on Kant and Cartier-Bresson for Aspiring Photographers Stuart Richmond In the past few decades beauty has become something of an endangered species in the Western art world. Indeed, beauty has never been a central aim of contemporary art, which has tended to focus on meaning and politics rather than formal values, conceptual art being a (...) case in point. Feminist artists and critics, reacting to the objectification of women in society have rendered attention to women's beauty, especially the nude, impolitic. This is perhaps understandable given the persuasive emphasis on beauty in marketing, that many argue socializes an unhealthy self-image in young people and distracts attention from important social issues. As well, techno-global-business practices increasingly invade our lives and private spaces with a virtual culture of information and efficiency. We do not know how this retreat from the sensual, concrete present will affect human sensibilities and values in the long run, although there are some disturbing signs. Seen as un-cerebral and allied with pleasure, beauty and its alter ego, appreciation, have acquired a decided regressive air. Having said that, for many people at the level of ordinary life — in human relationships, arts activities, and love of nature, for example — beauty never really went away because beauty is a source of pleasure and well-being that we cannot help wanting. As Plato pointed out, beauty is the only visible quality that inspires love. 1 A life of beauty in a free and ethical environment is an invitation to a life worth living. Though I cannot pursue the matter here, it is noteworthy that we often call a person of courage, goodness, and humility, a beautiful human being. Around the world people find many paths to beauty and of late in the Western artistic and academic worlds, beauty seems to be making a comeback. But beauty is a difficult thing to talk about, partly due to its being an experiential concept, partly because it has a long and complex philosophical history, and also because there is the risk in analysis of reducing it to something small and formulaic. Words in the end cannot replace the experience [End Page 78] of beauty. Despite these concerns, however, I believe that now, more thanever in the arts and education, we need to develop capacities for creating and appreciating beauty, if only to bring us back into contact with what is sensual and intrinsically worthwhile after so much arid theorizing, conflict in the world, and technocratic obsession. Through beauty we might be able to regain a stronger sense of human values and pleasure in living. Therefore, my aim here is to re-examine beauty in order to strengthen its role in aesthetic education. I do not expect to develop any precise definitions but I shall aim for a few signposts. Background to the Concept of Beauty "Beauty," "beautiful," or "the beautiful" refer primarily to a quality found pleasing to the senses. Here I shall restrict discussion to the visual domain, and later principally to art. As noted, beauty has a long philosophical history but the concept remains vague. From classical times on, beauty has been defined or associated with such properties as symmetry, balance, variety, harmony, proportion, order, unity, and perfection. And indeed, these features have long provided normative guidelines for the creation and appreciation of beauty. Over time we have learned the shape and proportions of a beautiful pot or supporting column. The golden section, a ratio of 1:1.6, has been used to good effect in design for millennia, the Parthenon being a prime example, the 35 mm negative another. However, as is well known, differences in beauty in individual cases tend to elude definition on account of this or that property or collection of properties. Exceptions can always be found. A painting may be well balanced but lacking in a certain élan vital, or unbalanced but beautiful. The variability of beautiful things seems to rule out a... (shrink)

Excerpt from Vector Analysis and the Theory of Relativity One of the most striking effects of the publication of Einstein's papers on generalized relativity and of the discussions which arose in connection with the subsequent astronomical observations was to make students of physics renew their study of mathematics. At first they attempted to learn simply the technique, but soon there was a demand to understand more; real mathematical insight was sought. Unfortunately there were no books available, not even papers. Dr. (...) Murnaghan's little book is a most successful attempt to supply what is a definite need. Every physicist can read it with profit. He will learn the meaning of a vector for the first time. He will learn methods which are available for every field of mathematical physics. He will see which of the processes used by Einstein and others are strictly mathematical and which are physical. Every chapter is illuminating, and the treatment of the subject is that of a student of mathematics and is not developed ad hoc. The extension of surface and line integrals is most interesting for physicists and the discussion of the space relations in a four-dimensional geometry is one most needed. This is specially true concerning the case of point-symmetry which forms the basis of Einstein's formulae for gravitation as applied to the solar system. I feel personally that I owe to this book a great debt. I have read it with care and shall read it again. It has given me a definiteness of understanding which I never had before, and a vision of a field of knowledge which before was remote. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:TragedyA Lesson in SurvivalChristopher Perricone (bio)Tragedy and Its Historical Context"Tragedy" in the strict sense of the word refers to an ancient Greek literary genre, a form of drama for the most part performed publicly in the theater. As is well known, the word "tragedy" literally means "goat song." The belief among scholars is that early singers of tragedy wore goatskin costumes in imitation of satyrs. Also, as is well (...) known, Aristotle defines "tragedy" in the strict sense of the word as "the imitation of an action that is serious and also having magnitude, complete in itself; in language with pleasurable accessories, each kind brought in separately in the parts of the work; in a dramatic, not in a narrative form; with incidents arousing pity and fear, wherewith to accomplish its catharsis of such emotions."1 Of course, when one thinks of tragedy in the strict sense the names that come to mind are Aeschylus, Sophocles, and Euripides. It is arguable that these men not only set the stage for and developed the idea of tragedy in the strict sense, but they also laid the foundations of tragedy for centuries to come.After the Greeks, not surprisingly, tragedy evolves. The strict sense of the term as a point of reference, origin, or nucleus, remains—that is, after the Greeks, tragedy still retains that sense of "an imitation of an action that is serious." However, when one considers what later goes by the name of tragedy, one is hard-pressed, without resorting to Procrustean measures, to fit with any precision those later works of tragedy into the original Greek mold. After the Greeks, Seneca composes tragedies, as do Marlowe, Shakespeare, Corneille, Racine, Goethe, Schiller, Ibsen, Chekov, Lorca, Anouilh, Miller, et al. Even the sense of "serious" is not exactly the same: is the seriousness of Hedda Gabler's or Willie Loman's fate at all comparable to the fates of [End Page 70] Medea or Oedipus? The former cases surely seem serious in some domestic sense, whereas the latter clearly are intended to imply seriousness on a much grander and perhaps cosmic scale.The reason I mention all this is that "tragedy," both in what I call the strict and nuclear ancient Greek sense of the term (which does not imply that tragedy is clearly and distinctly defined, even in ancient Greece) and in the looser, derived sense of the word, has a long and compelling history. Tragedy is a form of drama to which we continually return. It is a genre that seems intrinsic not only to our very idea of theater but also to the very nature of art itself. Although one may debate the plausibility of writing tragedies in a disillusioned and nonheroic age, nevertheless one can hardly imagine the theater existing without tragedy. One way or another, it seems tragedies, whether in the strict or loose sense, will always be performed, and not merely out of nostalgia. Indeed, given the compelling nature of tragedy, it seems no accident that among the giants of literature, the tragedians are significantly represented. The compelling nature of tragedy is nicely expressed by the literary critic F. L. Lucas, and his statements should be considered a complement to Aristotle:Tragedy, then, is a representation of human unhappiness, which pleases us notwithstanding, by the truth with which it is seen and the fineness with which it is communicated—"l'amertume poignante et fortifiante de tout ce qui est vrai." ["The invigorating and poignant bitterness of whatever is true"; my translation.] The world of everyday seems often a purposeless chaos, a mangy tiger without even the fearful symmetry of Blake's vision; but the world of tragedy we can face, for we feel mind behind it and the symmetry is there. Tragedy, in fine, is man's answer to this universe that crushes him so pitilessly. Destiny scowls upon him; his answer is to sit down and paint her where she stands.2It is not only true that tragedy as practice and performance has a long and rich history; the study of tragedy has an equally long and rich history. The idea of tragedy has attracted, tantalized, frustrated, and exercised... (shrink)

Résumé1Le rôle prlvilégié que joue l'implication « si … alors » dans la pensée donne à sa formalisation loglque une importance capitale. Mais la formalisation classique se heurte à certaines difficultés.2On montre, par la méthode L de Gentzen, que c'est la partie positive de la logique intuitionniste qui exprime au plus près l'idée intuitive de l'implication.3L'implication est liée à la négation. On est conduit à distinguer « réfutable », «absurde» et «faux».4L'analyse de ces notions peut se faire aussi par la (...) méthode N de Gentzen. Elle conduit à une certaine symétrie dans les résultats.5Un système S, dû à F. B. Fitch, conduit à une nouvelle sorte de négation.6La négation dans S peut s'interpréter comme «contraire aux faits».Zusammenfassung1Dei der besonderen Rolle der Implikation «wenn … dann »im Denken 1st deren logische Formalisierung von wesentlicher Bedeutung. Die klassische Formalisierung stösst auf gewisse Schwierigkeiten.2Gentzens Méthode L erweist, dass der positive Teil der intuitionistischen Logik der intuitiven Idee der Implikation am nächsten kommt.3Die Implikation ist an die Negation gebunden. Folgende Unterscheidungen ergeben sich: widerlegbar, unmöglich, falsch.4Die Analyse dieser Begriffe kann auch nach Gentzens Méthode N geschehen. Sie führt zu einer gewissen Symmetrie in den Ergebnissen.5Das logische System S, das F. B. Fitch aufgestellt hat, führt zu einer neuen Art der Negation.6Die Negation kann in S als «im Widerspruch zu den Tatsachen» interpretiert werden. (shrink)

[opening paragraph]: While there are many ideas worthy of test, and especially some exciting speculations on how ‘high level’ processing might feed back into ‘low level’ visual perception, the scheme of ‘laws’ proposed by Ramachandran and Hirstein underestimates the ambition of art, at least as it is probably understood by most serious contemporary practitioners. It should be retitled ‘The Science of Design'. If Ramachandran and Hirstein had looked into the literature of design, instead of art, they would have come upon (...) somewhat similar, though more subjective, explorations of significantly overlapping ideas; symmetry, contrast, methods of limiting distraction, avoiding confusion, etc. Design is an essential element of the artist's training, but it is not the equivalent of art; design is to art as engineering is to science -- it does a lot of heavy lifting but does not in itself contain or explain the agenda. (shrink)

We present a new formalism for the microscopic classical electrodynamics of point charges in which the dynamic absence of self-interactions is enforced by the action principle, without eliminating the field degrees of freedom. In this context, free local radiation fields are dynamically prohibited. Instead radiation is carried by charge-field functionals of the current which have a negative parity under mathematical time reversal. This leads to the dynamic requirement of a physical time arrow in the equations of motion in order to (...) preserve the overall mathphysical time-reversal symmetry of the formalism. Since this physical time arrow emerges electrodynamically without the need of external thermodynamic or cosmological criteria, it offers a dynamical explanation for the origin of irreversibility in classical electrodynamic measurement processes. “Science, like the arts, admits aesthetic criteria; it seeks theories that display ‘a proper conformity of the parts to one another and to the whole’ while still showing some strangeness in their proportion”—S. Chandrasekar. (shrink)

We argue that the true nature of the renormalizability of Horava-Lifshitz gravity lies in the presence of higher order spatial derivatives and not in the anisotropic Lifshitz scaling of space and time. We discuss the possibility of constructing a higher order spatial derivatives model that has the same renormalization properties of Horava-Lifshitz gravity but that does not make use of the Lifshitz scaling. In addition, the state-of-the-art of the Lorentz symmetry restoration in Horava-Lifshitz-type theories of gravitation is reviewed.