Eduard Jan Dijksterhuis Quotes (7 quotes)

Eduard Jan Dijksterhuis: 7 quotes 0 likes

Famous Eduard Jan Dijksterhuis Quotes

“In the course of the fifteenth century, the sexagesimal division of the radius, in terms of which cords and goniometrical line-segments were expressed, was generally superseded, though not immediately replaced, by a decimal system of positional notation. Instead, mathematicians sought to avoid fractions by taking the Radius equal to a number of units of length of the form {\displaystyle 10^{n}} {\displaystyle 10^{n}}…The first to apply this method was the German astronomer Regiomontanus… the second half of the sixteenth and the first decades of the seventeenth century… observed of a gradual development of this method of Regiomontanus into a complete system of decimal positional fractions. Yet none of the steps taken by… writers is comparable in importance and scope with the progress achieved by Stevin in his De Thiende.”

Eduard Jan Dijksterhuis

Source: Simon Stevin: Science in the Netherlands around 1600, 1970, p. 17-18

“[The mathematical character of Descartes' physics lies in its methodological nature, namely, the] axiomatic structure of the whole system, in the establishment of indubitable foundations and the deduction of the phenomena.”

Eduard Jan Dijksterhuis

Source: The mechanization of the world picture, 1961, p. 414; as cited in: ‎Marleen Rozemond (2009), Descartes's Dualism. p. 235

“Modern science was born in the period beginning with Copernicus's work De Revolutionibus Orbium Coelestium (l543) and ending with Newton's Philosophia Naturalis Philosophiae Mathematica.
For reasons not to be entered into here, mediaeval scholasticism had not succeeded in finding an effective method for the investigation of natural phenomena. And Humanism, though indirectly instrumental in the creation of natural science through the promotion of knowledge of Greek works on mathematics, mechanics, and astronomy, had not been able to find the new paths that science would have to follow. The conviction shared by the two movements, viz. that science was something which mankind had once possessed, but had since lost, turned men's eyes towards the past instead of to the future — to ancient books instead of to new investigations and experiments.
The creation of modern science required a different philosophy. Man had to realize that if science is to grow, each generation must make its own contribution; and that the accumulated wisdom of antiquity is useful only as a starting-point for new research.”

Eduard Jan Dijksterhuis

Source: Simon Stevin: Science in the Netherlands around 1600, 1970, p. 1; Lead paragraph

“Plato makes the cosmos a living being by investing the world-body with a world-soul.”

Eduard Jan Dijksterhuis

Source: The mechanization of the world picture, 1961, p. 15

“Classical mechanics is mathematical not only in the sense that it makes use of mathematical terms and methods for abbreviating arguments which might, if necessary, also be expressed in the language of everyday speech; it is so also in the much more stringent sense that its basic concepts are mathematical concepts, that mechanics itself is a mathematics.”

Eduard Jan Dijksterhuis

Source: The mechanization of the world picture, 1961, p. 499

“It is pointed out convincingly by George Sarton in The Life of Science that the development of science, as contrasted with that of art, is cumulative and progressive. Every scientist is educated in the current knowledge of his age and, making use of all he has learned, attempts to add something of his own to the existing body of knowledge. For this reason it is essentially impossible to isolate his personal achievements from the total pattern of scientific development. It follows that one cannot write the scientific life story of an isolated scholar, but only the history of the branches of science in which he participated.”

Eduard Jan Dijksterhuis

p 14
Simon Stevin: Science in the Netherlands around 1600, 1970

“Mechanics… was an axiomatic construction; and… its problem could be solved quantitatively by algebraic methods.”

Eduard Jan Dijksterhuis

Robert Jacobus Forbes and E. J. Dijksterhuis (1963) A History of Science and Technology, vol. I: Ancient Times to the Seventeenth Century, Baltimore.

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