Kim H. Veltman

LEONARDO STUDIES

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About

The Kim Veltman foundation is promoting his works by making it available to a larger audience online. Kim H. Veltman is Scientific Director of VMMI (Virtual Maastricht McLuhan Institute); author and consultant on implications of new media for scholarship, culture and society.

His research began with two historical topics: the history of perspective, and Leonardo da Vinci. During the 1980s, he began studying new models of culture which go beyond the limits of euro-centric and asian-centric approaches. Since 2004, this theme has become central to his studies, focussed on cosmology and alphabets. This led to lectures, several articles and a major book on Alphabets of Life.

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Leonardo's Method

The final version of this book was written in ten days, but the work on which it is based covers nearly 20 years. In 1973-1974, Dr. Kenneth D. Keele, M.D., F.R.C.P. and the author reconstructed some of Leonardo's descriptions of perspective in order to determine whether these had an experimental basis. It was found that they did. The possibility that they had simply been thought experiments was excluded because some of his claims were so unlikely that they had to be tested in order to make sense.

The evidence of Leonardo's notebooks confirmed that he was widely read and had many contacts. His extant treatises revealed much more structure than has generally been assumed. Moreover, they evidenced a number of clear plans for books. Examination of his entire extant corpus brought to light another unexpected feature: for all their universality the notebooks are focussed on a surprisingly small number of basic themes: crucial among these are his studies of transformational geometry and a mechanical approach to nature, which uses as a point of departure his concept of four powers (weight, force, motion and percussion), and serves ultimately to integrate both his study of the microcosm (anatomy) and the macrocosm (astronomy) within a single grand plan. It was shown that these studies were guided by a distinct method of listing variables systematically and playing with them experimentally. It was claimed that the results of this enterprise inspired him to write treatises and led him to make serious plans for publication.

Leonardo Studies I: Linear Perspective and Visual Dimensions of Science and Art

This is the first comprehensive treatment of LEONARDO DA VINCI'S writings on linear perspective. The author outlines the ancient and medieval background and assesses the contributions of 15th century authors such as ALBERTI, FILARETE, FRANCESCO DI GIORGIO MARTINI, PIERO DELLA FRANCESCA and LUCA PACIOLI.

With photographs of models and three-dimensional diagrams he is able to explain Leonardo's often cryptic two-dimensional sketches. Through experimental reconstructions carried out with the distinguished Leonardo scholar, Dr. Kenneth D. Keele, he establishes that da Vinci was the first to demonstrate quantitatively the laws of linear perspective. With the patience of a detective he traces the steps that led from simple surveying experiences to a complex method of spatial demonstration. He describes the instruments that Leonardo used and considers the relation between his theory and practice.

We are shown how Leonardo applied his new science of linear perspective to curvilinear and angular survaces and thus became the first to study systematically anamorphosis (prospettiva artificiale), which he advised against the painting practice, although it continued to fascinate him as a scientist because of the systematic transformations it entailed. A basic argument of the book is that perspective is not simply a menas of copying reality but rather a method serving to build bridges between geometry and nature. Three aspects of this process are described, namely, how Leonardo uses perspective to make three-dimensional models of: 1. the regular solids and other geometrical figures, 2. organic objects in Nature and 3. of abstract concepts of physics such as heat and force

He thus renders geometry naturally and Nature geometrically, and this coupled with his concept of the four powers (percussion, force, weight and motion) prepares the way for the quantitative study of Nature which Galileo, Descartes, Huygens and Newton codified in the 17th century. In part three we are shown how Leonardo also extended his new found principles to colour and loss of distinctness perspective. The author traces Leonardo's growing awareness of discrepancies between the geometrical laws of perspective and psychological experiences of vision and explains how this inspires a new concept of chiaroscuro which Leonardo sees as a branch of perspective. In this context Leonardo's major paintings are reassessed. Perspective, the author concludes, transformed Leonardo's approach and changed the direction of Renaissance art and science. Some of its wider philosophical and cultural implications he explores in an epilogue.

Leonardo Studies II: Continuity and Discovery in Optics and Astronomy

This study was written between 1979 and 1984. Whereas the first volume offers a survey of Leonardo's philosophy of science in general, this second volume provides a detailed examination of the scope and limits of Leonardo's scientific method with respect to a specific branch of physics. Volume two is divided into five parts.

A survey is given of the optical tradition from Euclid to Kepler. It is noted that in Antiquity and throughout the Middle Ages the term "image" was treated equivocally such that mental images and physical images were not distinguished. It is claimed that Leonardo's optical studies introduce a basic change in approach. He adopts traditional verbal similes, takes them literally and translates them into visual problems which can then be experimentally verified. As a result problems of optics which had been subjects for philosophical debate become questions of physics. The way is thus prepared for Kepler's later distinction between those images which can be quantitatively measured (pictura rerum) and those which are purely subjective (imagines rerum).

Leonardo's concept of percussion is studied. It is shown how this fits into Leonardo's system of the four powers by means of which he set out to explain all physical phenomena.

In order to present this material a threefold approach is being developed. First there is a challenge of assessing the validity of Leonardo's claims from a modern viewpoint. How many marks would he have received on a modern physics test in optics? Second there is a question of reconstructing his ideas in a way such as he himself foresaw, had he had time. Third there is a problem of explaining why the notes have their present form. It is shown how a technical knowledge of his subject matter plus an understanding of his methods of organization by theme and analogy help reveal that his actual notebooks contain a far more methodical approach than has hitherto been assumed (cf. ยง 5-Cs below).

Publications

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