How can we improve business ethics education for the twenty first century? This study evaluates the effectiveness of a visual case exercise in the form of a 3D immersive game given to undergraduate students at two UK Universities as part of a mandatory business ethics module. We propose that due to evolving learning styles, the immersive nature of interactive games lends itself as a vehicle to make the learning of ethics more ‘concrete’ and ‘personal’ and therefore more engaging. To achieve (...) this, we designed and built an immersive 3D simulation game in the style of a visual case. The effectiveness of the game was evaluated using a mixed methods approach measuring recognised and adapted constructs from the technology acceptance model. Results demonstrate that students found the game beneficial to their learning of ethics with the development of knowledge and skills applicable to the real world and that they engaged with the process due to game elements. Findings demonstrate the potential for the development of simulated games to teach ethics at all levels and modes of delivery and the contribution of this type of visual case model as a pedagogic method. (shrink)

In today’s world, there are more than 5000 languages and dialects in use, of which only 100 may be considered of major importance. As Dreyfuss (1972) states, inter-communication amongst them has proved not just difficult but impossible. Because a universal language would be the solution to this problem, over 800 attempts have in fact been made in the last 1000 years to develop an official second language that in time could be adopted by all major countries. Some of the most (...) recognized examples are Esperanto, Interlingua, Ido and Volapuk. However, all of them combine elements of existing languages and rely on the Roman alphabet, which reduces their applicability to certain regions of the world. The aim of this project is to explore the world of pictographic communication and develop an effective system for conveying information/knowledge on a universal scale. This would potentially bridge linguistic and cultural gaps, transcending boundaries, and thereby creating a broader vision of multiculturalism. In this sense, we find useful the notion of ‘semantography’, from the Greek word semanticos, significant meaning, and graphin, to write. The term was coined by Charles K. Bliss in 1947 to define his development of a non-alphabetical symbol writing system, based on the principles of ideographic writing and chemical symbolism. Semantography was the name of Charles K. Bliss’ proposed book for the Blissymbolic communication system. (shrink)

The complex relationship between the current advancement of technology, including the wide scope of settings at which machinery plays substantial roles, and the cultural, historical, and political realities that have long existed across the history of mankind, is one that deserves absolute attention and exploration. This interconnection has been investigated in light of bread, and the meaning it signifies to people from all over the world. Drawing on the commonly unnoticed value of bread, and the everlasting impregnable imprint it has (...) always had on revolutions throughout history, “Collective Bread Diaries” came to being as an interactive art project, employing the artificial intelligence of the MTurk platform in its investigation of “bread” as one’s peculiar voice and political statement. The author amongst other participants was granted the opportunity to draw and share personal visual representations of bread, eventually forming an array of visual diaries, each peculiar to its creator and each reflecting the cultural significance of the place from which it originated. The results are exceptionally reproduced drawings by a machine, with no apparent threads to culture, tradition, or history, emphasizes the conscious perception of one’s distinct identity. A number of 100 distinct drawings were machine-generated featuring various bread types. The process eventually investigates one’s perception of cultural identity, by exploring the cultural, socio-political, and religious threads that have long been weaved into the definition of “bread” across history. (shrink)

Can we find different means of communicative visual solutions to aid societies in the development of multicultural global communities? This means not revolving only around a particular language or even human language, but rather the concept and structure of communication. This transforms any kind of sign, body gesture or visual element into a method of communication, not simple phenomena. The aim of the research is to use media art and new technology to establish a better (wide) visual communicative language in (...) multicultural societies and provide a solid bridge between east and west, through in-depth visual/technological experimentation, seeking a transcultural visual solution to the problem of visual integration. Can any perceivable phenomenon become a conveyor of meaning? While language is based very much on common agreements, the way each of us responds to a message can be entirely different. Communication therefore creates diversity from uniformity: the idea of mixing setups of humans and machines (robots, computers, etc.) that are somehow able to communicate. The communication would give rise to some sort of choreography of movements that is synchronized because of the communication but diverse because of different responses to the communication. (shrink)

This article studies Ibn al-Haytham’s treatment of the common notions from Euclid’s Elements (usually referred to today as the axioms). We argue that Ibn al-Haytham initiated a new approach with regard to these foundational statements, rejecting their qualification as innate, self-evident, or primary. We suggest that Ibn al-Haytham’s engagement with experimental science, especially optics, led him to revise the framing of Euclidean common notions in a way that would fit his experimental approach.

After his refutation of the doubts concerning Proposition I.7, Ibn al-Haytham mentions three possible ways in which circles may intersect, submitting them to the following “intuitive” argument: one part of one of the two circles is situated inside of the other circle, and its other part is situated outside of it. One is therefore tempted to believe that the commentator accepts the principle of continuity in the case of circles, since his argument has the following meaning: if a circle (...) is divisible into two parts, one of which is situated inside the other circle, and the other outside of it, then the two circles cut one another. The author of this article proposes to establish the limits of this belief, on the basis of the following reflections: 1). It will be noted first of all that what could be called the ‘principle of the intersection of circles’ does not constitute ipso facto a principle in the mind of Ibn al-Haytham: no allusion is made to it in the commentary on Proposition I.1, among others. 2) It will be established later on that if one accepts that a line is the result of the movement of a point, the principle of continuity should be considered by him as something which is obvious by itself, without being stated. This conclusion will be based on an analysis of the notion of continuity in its classical meaning, and on Ibn al-Haytham’s commentary on Proposition X.1. 3) On the other hand, we should note the presence of a ‘sketch’ of topological language, which Ibn al-Haytham develops for the notion of a circle : one could say in this context that his reflection constitutes an important, if not principal, stage in the process which was to lead to the explicit formulation of the principle of continuity. (shrink)

RésuméÀ plusieurs reprises et poursuivant des buts distincts, Ibn al-Haytham a déterminé les variations d'une fonction bien connue aujourd'hui. Le contexte de ces applications révèle certaines caractéristiques de la pensée mathématique et physique de ce savant. Une étude précise de ses démonstrations mathématiques de monotonie suggère combien il a pu approcher d'un concept élaboré du continu.

In general, in order to gain a more comprehensive view of something it is quite profitable to approach a philosophical concept through its correlation, differentiation, and even opposition to another related concept. 'Place' and 'space,' philosophical terms, constitute an ideal case in which to apply this method.These concepts are so closely related that they may be interdependent, because both of them mean an environment that encompasses, surrounds, or contains objects, things, bodies, entities, events, occurrences, and processes. Thus, G. W. Leibniz, (...) who searched for the rational foundation of Christianity as well as of mathematics and physics, wrote in the second passage of his Monadology: "a... (shrink)

RésuméDans l’Almageste, Ptolémée a proposé le concept du mouvement d'enroulement pour expliquer notamment les latitudes planétaires. Ibn al-Haytham a rédigé un traité intitulé Fī ḥarakat al-iltifāf, « Surle mouvement d'enroulement ». Un anonyme a écrit une critique de ce traité. Les deux mémoires sont perdus; mais heureusement a survécu la réponse d'Ibn al-Haytham, intitulée Fī ḥall šukūk ḥarakat al-iltifāf, « La résolution des doutes sur le mouvement d'enroulement ». Il y rappelle le modèle élaboré et en détaille encore (...) l'explication. Nous donnons ici édition critique, traduction et commentaire de cette réponse, ainsi qu'une édition et traduction de passages apparentés des Hypothèses planétaires de Ptolémée et de la Nihāyat al-idrāk de Quṭb al-Dīn al-Shīrāzī. (shrink)

The modern physiological optics introduces the notions related to the conditions of fusion of bi- nocular images by the concept of correspondence, due to Christiaan Huygens (1704), and by an experiment attri- buted to Christoph Scheiner (1619). The conceptualization of this experiment dates, in fact, back to Ptolemy (90- 168) and Ibn al-Haytham (d. af. 1040). The present paper surveys Ibn al-Haytham's knowledge about the mecha- nisms of binocular vision. The article subsequently explains why Ibn al-Haytham, a (...) mathematician, but here an experimenter, did not give the circular figure of the theoretical horopter, construction due to Gerhard Vieth (1818) and Johannes Müller (1826). But, on the other hand, it is clear that Ibn al-Haytham's experimental study puts in place the notion of corresponding points, the cases of homonymous and cross diplopia, and even prepares the discovery of Panum area. L'optique physiologique moderne introduit les notions relatives aux conditions de fusion des images binoculaires par le concept de correspondance, prêté à Christiaan Huygens (1704), et par une expérience attribuée à Christoph Scheiner (1619). L'article montre que la conceptualisation de l'expérience remonte en fait à Ptolémée (90-168) et à Ibn al-Haytham (m. ap. 1040), et précise les connaissances que ce dernier avait des mécanismes de la vision binoculaire. Il est ensuite expliqué pourquoi Ibn al-Haytham, mathématicien mais ici expérimentateur, ne donne pas la forme circulaire de l'horoptère théorique, dont la construction revient à Gerhard Vieth (1818) et Johannes Müller (1826). En revanche, l'étude expérimentale d'Ibn al-Haytham met en place la notion de points correspondants, les cas de diplopie homonyme et croisée et prépare même la découverte de l'aire fusionnelle de Panum. (shrink)

The modern physiological optics introduces the notions related to the conditions of fusion of binocular images by the concept of correspondence, due to Christiaan Huygens, and by an experiment attributed to Christoph Scheiner. The conceptualization of this experiment dates, in fact, back to Ptolemy and Ibn al-Haytham. The present paper surveys Ibn al-Haytham's knowledge about the mechanisms of binocular vision. The article subsequently explains why Ibn al-Haytham, a mathematician, but here an experimenter, did not give the circular (...) figure of the theoretical horopter, construction due to Gerhard Vieth and Johannes Müller. But, on the other hand, it is clear that Ibn al-Haytham's experimental study puts in place the notion of corresponding points, the cases of homonymous and cross diplopia, and even prepares the discovery of Panum area. (shrink)

This paper presents an edition of al-Hasan ibn al-asan ibn al-Haytham's treatise, Qawl fi samt al-qibla bi-al-isāb with translation and commentary. In it Ibn al-Haytham provides a universal method for finding the direction of the qibla at any location on the surface of the earth by using spherical trigonometry and accurate calculation. Ibn al-Haytham's computational solution has not been studied before, and it has often been confused with another work of his in which he uses an analemma (...) construction to solve the problem of the qibla graphically. As a result of this confusion, contemporary scholars have mistakenly attributed the first universal solution of the qibla problem to Jamshīd al-Kāshī, some four centuries after the introduction of this method by Ibn al-Haytham. The present treatise represents an important juncture in the history of the development of mathematics of the qibla, and sheds more light on the contributions of one of the most important scientists of medieval Islam. (shrink)

The "Text" and the "Commentary" mentioned in the title of this essay are, respectively, the "Kitāb al-Manāẓir", or "Optics", of al-Ḥasan ibn al-Haytham, composed in the first half of the fifth/eleventh century, and the "Tanqīḥ al-Manāẓir li-dhawī l-abṣār wa l-baṣā'ir", written by Abū l-Ḥasan (or al-Ḥasan) Kamāl al-Dīn al-Fārisī in the second half of the seventh/thirteenth century. It is known that, so far, only the first five of the seven "maqālāt"/Books that make up the Arabic text of IH's "Optics" (...) have been published, and that the "Tanqīḥ" was published in two volumes. I shall be concerned with certain episodes in the lives of these two works, my aim being to shed light on their transmission within the Islamic Arabic and Persian worlds. -/- . (shrink)

RésuméLes mathématiciens et les philosophes arabophones, comme leurs prédécesseurs grecs, ont soulevé plusieurs questions épistémologiques fondamentales. Parmi ces questions figure celle qui porte sur le concept d’égalité et sur celui de congruence des grandeurs géométriques. Mais qu'entendait-on par de tels concepts? quelle était leur relation à l'idée de mouvement? Comme les réponses à ces questions combinaient souvent des éléments métriques et d'autres, philosophiques, j'ai choisi d’étudier celles d'un mathématicien, d'un philosophe et d'un mathématicien-philosophe.

Quand on compare l' Optique d'Ibn al-Haytham à celle de Ptolémée, on rencontre des innovations à coup sûr capitales, et qui chacune mériterait une analyse particulière: étude expérimentale de la propagation rectiligne de la lumière, nouvelle théorie de la vision fondée sur la réception dans l'œil de rayons lumineux, recherche du lien entre l'anatomie de 1'œil et sa fonction optique, preuve expérimentale que la réfraction joue un rôle important dans la vision, et j'en passe: les dimensions d'un article de (...) revue n'y suffiraient pas. Aussi bien mon but est-il plus global et plus synthétique. Il consiste à tenter de faire le point sur ce qu'est devenue, après Ibn al-Haytham, l'insertion de l'optique dans le système des savoirs qui lui sont connectès, en comparant cette insertion à ce qu'elle était au temps de Ptolémée, c'est-à-dire dans l'œuvre de référence reçae et travaillée par lui. (shrink)

RésuméAu tout début du dernier millénaire, Ibn al-Haytham contribua de façon importante à la recherche sur la Voie lactée. Les seuls trois témoins actuellement connus de son traité sur la localisation de la Voie lactée seront ici comparés et discutés. La comparaison entre ces témoins, d'une part et la traduction allemande de ce traité, faite en 1906 par E. Wiedemann, d'autre part, révèle plusieurs différences, ce qui nous a incité à proposer une nouvelle traduction critique du texte transmis. Nous (...) donnons ici un commentaire détaillé de ce traité et nous testons la validité des arguments d'Ibn al-Haytham. Nous discutons aussi ce traité dans le cadre du ‘Grand Débat’ concernant la Voie lactée qui eut lieu autour de 1920, plus d'une décennie après la traduction de Wiedemann. Il nous est apparu que le travail d'Ibn al-Haytham se situe à coup sûr au faîte de la période d'observation, à l’œil nu, de la Voie lactée. S'appuyant sur sa propre argumentation et sur les observations de Ptolémée, Ibn al-Haytham identifie clairement la galaxie comme un corps extra-terrestre, qui n'est pas une partie de l'atmosphère mais qui se situe plus loin que la lune. De plus, à l'occasion des jugements qu'il porte sur les positions stellaires transmises par Ptolémée, Ibn al-Haytham anticipe le concept de mouvements stellaires propres. (shrink)

In order to get rid of the contradictions he had identified in Ptolemy’s Astronomy, Ibn al-Haytham abandons cosmology and develops a purely kinematic description of the movement of the wandering stars. This description culminates with the proof that such a star, during its daily movement, reaches exactly one time a maximum height above the horizon and that any inferior height is reached exactly twice. The proofs of these facts necessitates new mathematical tools and Ibn al-Haytham is led to (...) establish very sophisticated statements concerning the variation of certain ratios of arcs of circles on the sphere. He also introduces the fruitful idea of assimilating a very small spherical triangle to a plane triangle. (shrink)

The concept of aerial perspective has been used for the first time by Leonardo da Vinci (1452-1519). This article studies its dependence on Ptolemy’s Optica and overall on the optical tradition inaugurated by Ibn al-Haytham’s Kitāb al-Manāẓir (d. after 1040). This treatise, that was accessible through several Latin and Italian manuscripts, and was the source of many Medieval commentaries, offers a general theory of visual perception emancipated from the case of the moon illusion, in which physical and psychological factors (...) are closely combined. Atmospheric extinction (not refraction, which it is sometimes confused with) affects the conjectured size of remote objects. This phenomenon is also the core source for a pictorial rendering of depth, that is based onto a principle different from the diminution of size. (shrink)

In view of the progress made in recent decades in the fields of stemmatology and the analysis of geometric diagrams, the present article explores the possibility of establishing the stemma codicum of a handwritten tradition from geometric diagrams alone. This exploratory method is tested on Ibn al-Haytham’s Epistle on the Shape of the Eclipse, because this work has not yet been issued in a critical edition. Separate stemmata were constructed on the basis of the diagrams and the text, and (...) a comparison showed no major differences. The greater reliability of a stemma codicum constructed on the basis of the diagrams rather than the text of a mathematical work is discussed and preliminary conclusions are drawn. (shrink)

Chicago, The University of Chicago Press, London, University of London Press, 2023, xiv + 343 pp., 49 halftones, $120.00 (hardback); £90.00, ISBN 978-1-908590-58-9 (Warburg Institute Studies and Texts 8). The late Abdelhamid I. Sabra (1924–2013) devoted a significant part of his work to the critical edition and English translation of the optics of Abū ʿAlī al-Ḥasan ibn al-Ḥasan ibn al-Haytham….

Review essay: Les mathématiques infinitésimales du IXe au XIe siècle. Volume 4: Ibn al-Hatham, méthodes géométriques, transformations ponctuelles, et philosophie des mathématiques (London: Al-Furq¸n Islamic Heritage Foundation, 2002), pp. xiii+1064+vi ¤ 106.71 ISBN 1 87399 260 2.

This paper investigates the objections that were raised by the philosopher ‘Abd al-La&tdotu;īf al-Baghdādī against al-&Hdotu;asan ibn al-Haytham’s geometrisation of place. In this line of enquiry, I contrast the philosophical propositions that were advanced by al-Baghdādī in his tract: Fī al-Radd ‘alā Ibn al-Haytham fī al-makān, with the geometrical demonstrations that Ibn al-Haytham presented in his groundbreaking treatise: Qawl fī al-Makān. In examining the particulars of al-Baghdādī’s fragile defence of Aristotle’s definition of topos as delineated in Book (...) IV of the Physics, which was rejected on mathematical grounds by Ibn al-Haytham, a special attention is also given to highlighting the systemic distinctions between the entities that are studied within the speculative physical doctrines of common sense and immediate experience, and the postulated ‘objects’ of scientific and mathematical research. (shrink)

After having reformulated optics, Ibn al-Haytham conceived of an analogous project for astronomy. This has just been revealed by an important book by the mathematician which has never been studied until now. Ibn al-Haytham's reform consists in excluding all cosmology, and in developing a systematic study of a celestial kinematics that has been completely geometrized. In turn, the realization of such a reform demanded innovative research in infinitesimal geometry. In this article, an attempt is made to present this (...) new geometry, as well as the mathematical means invented to elaborate it. (shrink)

After his refutation of the doubts concerning Proposition I.7, Ibn al-Haytham mentions three possible ways in which circles may intersect, submitting them to the following “intuitive” argument: one part of one of the two circles is situated inside of the other circle, and its other part is situated outside of it. One is therefore tempted to believe that the commentator accepts the principle of continuity in the case of circles, since his argument has the following meaning: if a circle (...) is divisible into two parts, one of which is situated inside the other circle, and the other outside of it, then the two circles cut one another. The author of this article proposes to establish the limits of this belief, on the basis of the following reflections: 1). It will be noted first of all that what could be called the ‘principle of the intersection of circles’ does not constitute ipso facto a principle in the mind of Ibn al-Haytham: no allusion is made to it in the commentary on Proposition I.1, among others. 2) It will be established later on that if one accepts that a line is the result of the movement of a point, the principle of continuity should be considered by him as something which is obvious by itself, without being stated. This conclusion will be based on an analysis of the notion of continuity in its classical meaning, and on Ibn al-Haytham’s commentary on Proposition X.1. 3) On the other hand, we should note the presence of a ‘sketch’ of topological language, which Ibn al-Haytham develops for the notion of a circle : one could say in this context that his reflection constitutes an important, if not principal, stage in the process which was to lead to the explicit formulation of the principle of continuity. (shrink)

This article seeks the origin, in the theories of Ibn al-Haytham (Alhazen), Descartes, and Berkeley, of two-stage theories of spatial perception, which hold that visual perception involves both an immediate representation of the proximal stimulus in a two-dimensional ‘‘sensory core’’ and also a subsequent perception of the three dimensional world. The works of Ibn al-Haytham, Descartes, and Berkeley already frame the major theoretical options that guided visual theory into the twentieth century. The field of visual perception was the (...) first area of what we now call psychology to apply mathematics, through geometrical models as used by Euclid, Ptolemy, Ibn al-Haytham, and Descartes (among others). The article shows that Kepler’s discovery of the retinal image, which revolutionized visual anatomy and entailed fundamental changes in visual physiology, did not alter the basic structure of theories of spatial vision. These changes in visual physiology are advanced especially in Descartes' Dioptrics and his L'Homme. Berkeley develops a radically empirist theory vision, according to which visual perception of depth is learned through associative processes that rely on the sense of touch. But Descartes and Berkeley share the assertion that there is a two-dimensional sensory core that is in principle available to consciousness. They also share the observation that we don't usually perceived this core, but find depth and distance to be phenomenally immediate, a point they struggle to accommodate theoretically. If our interpretation is correct, it was not a change in the theory of the psychology of vision that engendered the idea of a sensory core, but rather the introduction of the theory into a new metaphysical context. (shrink)