Dominique Raynaud

This article studies a fragment on the conic sections that appear in the Codex Atlanticus, fols. 611rb/915ra. Arguments are put forward to assemble these two folios. Their comparison with the Latin texts available before 1500 shows that they derive from the De speculis comburentibus of Alhacen and the De speculis comburentibus of Regiomontanus, joined together in his autograph manuscript. Having identified the sources, and discussed their mathematics, the issue of their transmission is targeted. It is shown that these notes were written by Paolo dal Pozzo Toscanelli, through whom they reached the notebooks of Leonardo da Vinci.

This paper wonders why the Franciscan order took part in the diffusion of optics more than other medieval organisation, both religious and secular. First, clues of this social asymmetry are given. Then, an explanation is put forward: 1. An initial asymmetry existed, by the fact that Grosseteste’s optics was known in the Franciscan studium of Oxford; 2. Since that date, optics spread among the order by a network effect; 3. The rivaltry between the mendicant orders and the homophilia that presided over their conventual libraries’ purchasing policy finally explains why other contemporary organizations, similarly structured, took a smaller interest into optics. In spite of an evident topical connection, this explanation deeply differs from the analysis that has been applied to the Puritans’ and Jesuits’ scientific activity in XVIIth and XVIIIth centuries classical Europe. It does not appeal to the heavy hypothesis of ethos in order to understand scientific development.

This book explores the interrelationships between optics, vision and perspective before the Classical Age, examining binocularity in particular. The author shows how binocular vision was one of the key juncture points between the three concepts and readers will see how important it is to understand the approach that scholars once took. In the Middle Ages and the Renaissance, the concept of Perspectiva – the Latin word for optics – encompassed many areas of enquiry that had been viewed since antiquity as interconnected, but which a erwards were separated: optics was incorporated into the field of physics (i.e., physical and geometrical optics), vision came to be regarded as the sum of various psycho-physiological mechanisms involved in the way the eye operates (i.e., physiological optics and psychology of vision) and the word ‘perspective’ was reserved for the mathematical representation of the external world (i.e., linear perspective). The author shows how this division, which emerged as a result of the spread of the sciences in classical Europe, turns out to be an anachronism if we confront certain facts from the immediately preceding periods. It is essential to take into account the way medieval scholars posed the problem – which included all facets of the Latin word perspectiva – when exploring the events of this period.

Contemporary sociology of scientific knowledge (SSK) is defined by its relativist trend. Its programme often calls for the support of philosophers, such as Duhem, Quine, and Wittgenstein. A critical re-reading of key texts shows that the main principles of relativism are only derivable with difficulty. The thesis of the underdetermination of theory doesn't forbid that Duhem, in many places, validates a correspondence-consistency theory of truth. He never said that social beliefs and interests fill the lack of underdetermination. Quine's idea of a selective revision of hypotheses, as well as the neat incompatibility between holism and conventionalism, openly challenges the principles of relativism. Wittgenstein's work, which is not presented in book-form but rather as a tree, forces us to avoid aphoristic choices that credit any text-excising. This remark allows us to tackle the passages that sociological relativism is based on.Mathematical conventions are not anthropological objects. When Wittgenstein examines the "language-games," he only speaks of the functioning of natural language, not to be confused with scientific formal languages. We then should render the formula "language-game" by "well-defined, explicit and compulsory rules of communication", which is a much less attractive formula for relativism. Consequently, there does not exist a real continuity between the epistemologies of Duhem, Quine and Wittgenstein, and the recent works of the SSK.

Considered as an exact science, linear perspective started shortly before 1480, when Piero della Francesca demonstrated for the first time the decrease of apparent magnitudes on the basis of similar triangles. Although medieval and early modern empirical research on perspective is lacking such demonstrative character, we show that it benefited from the influence of optics much earlier than is usually thought, since the first trials of central perspective, two point perspective, or written evidence of a knowledge of optics by practitioners appear at the interface between Duecento and Trecento.

Despite the enthusiasm generated by social constructionism in the study of scientific debates, this contribution shows that – down to their praxeological dimension – the study of scientific controversies can benefit from sources ignored in today sociological literature. The contribution discloses these sources from the works of Shams al-Dīn al-Samarqandī (ca. 1250–ca. 1302), who is the first author to have offered etiquettes of investigation and debate (ādāb al-baḥth wa-al-munāẓara). Consequences are drawn towards constructivist epistemology.

Le regain actuel de la sociologie de l'art semble lié à un essai de constitution d'un programme de 'sociologie des œuvres', différencié de la classique sociologie de la production et de la réception artistiques. Ce programme, épigone des théories de la communication, fait l'hypothèse de codes iconiques et plastiques. L'étude des interprétations des rayures de D. Buren et de la pyramide du Grand Louvre de I. M. Pei invalide l'existence de tels codes. La grande variabilité des interprétations est alors expliquée dans le cadre du modèle inférentiel avancé par Sperber et Wilson (1989). L'absence de code et le caractère auto-réfutant de certaines propositions met en doute les chances de succès de ce programme de recherche

The idea that linear perspective arose only in the West due to the strength of an unusual process of rationalization is denied by the fact that IXth century Islamic scholars had yet a thorough knowledge of the optical and geometrical materials required in perspective. In addition, the process of rationalization was rarely so intense as in that time, because truth uniqueness and scientific communalism were core values of Medieval Islam. The puzzle is not a matter of less or more rationality, but a matter of axiological motives. First, Islamic disregard for perspective is the result of a value-set insofar painters were fearing the hadīths' prohibition, or wished to avoid pretentiousness of their name (muṣawwir). Second, Islamic art did not draw from Qurʿān and hadīth's precepts directly. Third, painters implemented axiological motives, to put iconic practice in accordance with aniconic leanings.

L'étude de la conception architecturale se trouve au carrefour de trois approches: sciences de la conception, psychologie cognitive et architecturologie. Cette dernière tente de modéliser toute la gamme des changements d'état qui apparaissent durant le processus de conception. L'architecturologie sait décrire, au moyen d'échelles, les opérations de conception par lesquelles l'architecte attribue des mesures à l'édifice. Cette modélisation paraît adéquate lorsque le modèle morphologique n'est pas transformé durant le processus de conception (comme dans certains projets de Jørn Utzon ou de Alvar Aalto). Dans d'autres cas – comme dans certains projets de Philibert de l'Orme, Ludwig Mies van der Rohe, Norman Foster – les changements d'état altèrent la structure même du modèle morphologique. De telles transformations ne peuvent plus être décrites par l'échelle. Reprenant une idée de Herbert A. Simon, l'article suggère que la description de ces nouvelles transformations appelle une autre classe d'opérateurs. Ce pourrait être des schèmes, si l'on entend par ce terme la classe des actions prototypiques qui peuvent être exprimées par des verbes fondamentaux comme ouvrir, fermer, séparer, lier, etc.

This article studies the legacy in the West of Abū al-Wafā’s Book on those Geometric Constructions which are Necessary for Craftsmen. Although two-thirds of the geometric constructions in the text also appear in Renaissance works, a joint analysis of original solutions, diagram lettering and probability leads to a robust finding of independent discovery. The analysis shows that there is little chance that the similarities between the contents of Abū al-Wafā’s Book and the works of Tartaglia, Marolois and Schwenter owe anything to historical transmission. The commentary written by Kamāl al-Dīn Ibn Yūnus seems to have had no Latin legacy either.

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.

This article aims at contributing to the methods of the sociology of science, from an empirical study of the determinations of the velocity of light between 1676 and 1983. Far from being constructed and deconstructed at pleasure, the values of c have undergone a tendentially unidirectional and irreversible process of revision. The competing methods remained in the running as long as they produced an uncertainty less than, or equal to, the best known value. The analysis of “entrances” and “exits” of the methods on the research front makes clear the nature of scientific competition, which is a form of “redistributive emulation” that owes nothing to political rivalry or economic competition. By achieving results that differ from constructivism on the themes of literary inscription, games of construction/deconstruction, negotiation, and persuasion, this article outlines a kind of internalist sociology of science, which aims at exploring all aspects that make science science.